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English Pages 1525 Year 2003
Reinforcement for
Concrete Structures VOLUME
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Edited by
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National University of Singapore, Singapore
Singapore
8-1 0 July, 2003
Reinfo rc e me nt for Concrete Structures
Proceedings of the
VOLUME
Sixth International Symposium on FRP Reinforcement for Concrete Structures
1
(FRPRCS-6)
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r heWorld Scientific
NewJersey London Singapore Hong Kong
Preface Research on the application of fibre-reinforced polymer (FRP) as reinforcement for concrete structures appeared in as early as the 1960s. However, it was not until the late 1980s that such research has escalated, leading to field applications. The interest in non-metallic reinforcement was fuelled by the corrosion problem associated with steel reinforcement that surfaced around the world at that time, and the downturn of the aerospace industry, where fibre-reinforced polymers have been widely used due to its high specific strength and modulus, and other superior characteristics. I was fortunate to spend my sabbatical with Professor Naaman at the University of Michigan, USA, during the Fall and Winter of 1991 and with Professor Okamura at the University of Tokyo, Japan, during Spring and Summer of 1992. The former introduced to me this new material that has since fascinated many in the research community and construction industry. In Tokyo, in particular, I was overwhelmed by the mountains of research that were embarked by universities, public institutions and private companies on the development and application of FRP rods as reinforcement for concrete structures. There were round bars, flat bars, square bars, braided bars, sanded bars, strands, grids and links, and even three-dimensional reinforcement. Several applications in footbridges, foundation beams, tunnel linings, and floating structures suddenly mushroomed all over Japan and the rest of the world. That probably constituted the first era in the application of FRP reinforcement in concrete structures. The FRPRCS Symposia Series was initiated in 1993, and subsequently held every two years in the continents of America, Europe and Asia, on a rotational basis. The previous symposia were held in Vancouver, Canada (1993), Ghent, Belgium (1995), Sapporo, Japan (1997), Baltimore, USA (1999), and Cambridge, UK (2001). This year marks the 10th anniversary of the FRPRCS Symposia Series, and the Department of Civil Engineering at the National University of Singapore is honored to host the 6th International Symposium on FRP Reinforcement for Concrete Structures (FRPRCS-6) in Singapore.
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The planning and preparation works for FRPRCS-6 in effect began almost six years ago in 1997 when I was asked in Sapporo, to be the second Asian host for the FRPRCS International Symposium. At that time, there was still little awareness of the material known as FRP reinforcement in Asia outside Japan, and if any, the interests were centered mainly on externally bonded FRP systems rather than FRP reinforcing rods. The Kobe earthquake in 1995 has brought about rapidly increasing interests in the use of FRP systems in structural rehabilitation, and that marked the beginning of the second era in FRP applications in concrete structures. To promote awareness and interests in the development and application of FRP reinforcement in Singapore and the region, the FibreReinforced Society (Singapore) was formed in September 2002 and has since been a co-organizer of this Symposium The FRPRCS-6 International Symposium will signify the beginning of the third era, in which one could witness global interests in FRP reinforcement, as well as the use of FRP reinforcements as structural shapes, and in masonry and steel structures. This set of proceedings contains a total of 140 papers from 26 countries, in two volumes. Each technical paper had been reviewed and selected for presentation by at least two members of the International Scientific Committee, to whom I would like to express my gratitude. Volume 1 of the proceedings contains four invited keynote papers and 63 technical papers dealing with: (i) FRP Materials and Properties; (ii) Bond Behaviour; (iii) Externally Bonded Reinforcement (EBR) for Flexure, Shear and Confinement; and (iv) FRP Structural Shapes. The topics covered in Volume 2 are: (v) Durability and Maintenance; (vi) Sustained and Fatigue Loads; (vii) Prestressed FRP Reinforcement and Tendons; (viii) Structural Strengthening; (ix) Applications in Masonry and Steel Structures; (x) Field Applications and Case Studies; and (xi) Codes and Standards. Seventy-three papers are included in Volume 2. The FRPRCS-6 International Symposium also witnessed the formation of the International Steering Committee, which comprises the chairmen of the current and previous FRPRCS Symposia. The main purpose of this Committee is to chart the future directions for the Symposia Series. It has appointed a three-man taskforce to determine the Best Paper (Research), Best Paper (Application) and Honorable Mention Awards, which were first introduced at FRPRCS-6. The three gentlemen in the taskforce were Professor C.W. Dolan from USA, Professor F.S.
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Rostdsy from Germany, and Professor H. Okamura from Japan. All of them are well known in the areas of FRP reinforcement and structural concrete. The organization of the Symposium would not have been possible without the generous contributions from the sponsors, who are degussaMBT (S) Pte Ltd, Fyfe Asia Pte Ltd, Mapei Far East R e Ltd, Sika (S) Pte Ltd, Lee Foundation (Singapore) and Defence Science & Technology Agency. I would also like to express my sincere thanks to the American Concrete Institute, USA, Institution of Engineers, Singapore, Japan Concrete Institute, Japan, and The Concrete Society, UK, for supporting the event. Last, but not least, I would like to acknowledge the help of my colleagues, in particular, Balendra, Mansur and Maalej, and the Secretariat, comprising Christine, Siti and Sarimah, who have devoted many hours in getting the Symposium organized.
Kiang Hwee Tan Singapore July 2003
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FRPRCS-6 Organizing Committees
National University of Singapore Organizing Committee Chairman : K.H. Tan Members : T. Balendra, M.A. Mansur, M. Maalej Secretariat : C.S. Tan, Siti Rohani, Sarimah
International Steering Committee S.H. Rizkalla, USA L. Taerwe, Belgium K.H. Tan, Singapore T. Uomoto, Japan
C.J. Burgoyne, UK C.W. Dolan, USA A. Nanni, USA H. Okamura, Japan
International Scientific Committee
K.H. Tan, Singapore (Chairman) K.W. Neale, Canada L.C. Bank, USA K. Pilakoutas, UK B. Benmokrane, Canada S.H. Rizkalla, USA C.J. Burgoyne, UK J. Sim, Korea E. Cosenza, Italy R.N. Swamy, UK C.W. Dolan, USA L. Taerwe, Belgium G.B. Guimaraes, Brazil J.G. Teng, China M. Harajli, Lebanon R. Tepfers, Sweden P. Hamelin, France T. Ueda, Japan L. Hollaway, UK T. Uornoto, Japan G. Manfredi, Italy P. Waldron, UK K. Maruyama, Japan Z. Wu, Japan U. Meier, Switzerland Q.R. Yue, China A.E. Naaman, USA A. Nanni, USA
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VOLUME 1
KEYNOTE PAPERS
FRP Reinforcements in Structural Concrete: Assessment, Progress, and Prospects A.E. Naaman
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Progress and Prospects of FRP Reinforcements: Survey of Expert Opinions A.E. Naaman
25
Durability Design of GFRP Rods for Concrete Reinforcement T. Uomoto
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New Types of Continuous Fiber Reinforcements for Concrete Members T. Ueda
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FRPMATERIALS AND PROPERTIES ~~
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Performance of ThermoplasticFiber Reinforced Polymer Rebars A.B. Mehrabi, C.A. Ligozio, A.F. Elremaily and D.R. Vanderpool
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Experimental Study on Poisson’s Ratio for FRP Tendons M. Tanaka, M. Khin, T. Harada and K. Venkataramana
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Stress-Strain Model for FRP-Confined Concrete for Design Applications L. Lam and J.G. Teng
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Accelerated Techniques to Predict the Stress-Rupture Behaviour of Aramid Fibres (Best Paper - Research) K.G.N.C. Alwis and C.J. Burgoyne
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BOND BEHAVIOUR Bond Characteristics of Various FRP Strengthening Techniques S.H. Rizkalla and T. Hassan
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Bond Strength between Fiber-Reinforced Polymer Laminates and Concrete T. Kanakubo, T. Furuta and H. Fukuyama
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Local Bond Stress-Slip Relations for FRP Sheets-Concrete Interfaces (Best Paper - Research) J.G. Dai and T. Ueda
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Bilinear Stress Slip Bond Model: Theoretical Background and Significance T. Ulaga, T. Vogel and U. Meier
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Non Linear Bond-Slip Law for FRP-Concrete Interface M. Savoia, B. Ferracuti and C. Mazzoti
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Experimental Analysis of Interface between CFRP and Concrete using Cylindrical Specimens A.C. Dos Santos, T.N. Bittencourt and R. Gettu
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FRP Adhesion in Uncracked and Cracked Concrete Zones G. Monti, M. Renzelli and P. Luciani
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Neural Network Prediction of Plate End Debonding in FRPPlated RC Beams S.T. Smith, J.G. Teng and M. Lu
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Bond Behaviour of CFRP Strips Glued into Slits M. Blaschko
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EXTERNALLY BONDED REINFORCEMENT FOR FLEXURE Load Capacity of Concrete Beams Strengthened with External FRP Sheets Z.J. Wu and J.M. Davies
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Reinforcing Effects of CFRP and AFRP Sheets with Respect to Flexural Behaviour of RC Beams 0. Joh, Z. Wang and H. Ibe
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Flexural Behaviour of RC Beams Externally Reinforced with Carbon Fiber Sheets Y. Takahashi and Y. Sat0
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Strength and Failure Mechanism of RC T-Beams Strengthened with CFRP Plates K. Lee and R. Al-Mahaidi
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Effect of Beam Size on Interfacial Shear Stresses and Failure Mode of FRP-Bonded Beams K.S. Leong and M. Maalej
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Debonding Failure of RC Structural Members Strengthened with FRP Laminates G. Camata, E. Spacone and V. Saouma
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Effect of End Wrapping on Peeling Behaviour of FRP-Strengthened Beams P. Pornpongsaroj and A. Pimanmas
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An Experimental Study on Debond-Control of AFRP for Flexurally Strengthened RC Beams S. Sawada, N. Kishi, H. Mikami and Y. Kurihashi
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Tests on RC T-Beams Strengthened in Flexure with a Glued and Bolted CFRP Laminate A. Nurchi, S. Matthys, L. Taerwe, M. Scarpa and J. Janssens
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Parametric Studies of RC Beams Strengthened in Flexure with Externally Bonded FRP S . Limkatanyu, H. Thomsen, E. Spacone and G. Camata
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Concrete Cover Failure or Tooth Type Failure in RC Beams Strengthened with FRP Laminates M.M. Lopez and A.E. Naaman
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Influence of Material Properties of FRPs on Strength of Flexural Strengthened RC Beams G.F. Zhang, N. Kishi and H. Mikami
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Ductility of Reinforced Concrete Beams Strengthened with CFRP Strips and Fabric M. Valcuende, J. Benlloch and C.J. Parra
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A Review of Ductility Determination of FRP Strengthened Flexural RC Elements D.B. Tann, P. Davies and R. Delpak
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A Semi-EmpiricalApproach for the Prediction of Deflections of FRP Strengthened RC Slabs D.B. Tann
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Crack Widths in RC Beams Externally Bonded with CFRP Sheets Y. Zhang, H. Toutanji and P. Balaguru
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Numerical Simulations for Strengthened Structures with Hybrid Fiber Sheets H. Niu and Z. Wu
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Fibre-Section FE of FRP-Strengthened RC Beam in Flexure, Shear and Confinement G. Monti and M. Barbato
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Interaction between Internal Bars and External FRP Reinforcement in RC Members G. Zehetmaier and K. Zilch
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Strengthening of RC Two-way Slabs with Composite Materials 0. Limam, G. Foret and A. Ehrlacher
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Evaluation of Externally Bonded CFRP Systems for the Strengthening of RC Slabs K.Y. Tan, J.G. Tumialan and A. Nanni
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Flexural Strengthening of Two-way Slabs Using FRPs H. Marzouk, U.A. Ebead and K.W. Neale
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Tensile Properties of Concrete in FRP Strengthened Two-way Slabs H. Marzouk, U.A. Ebead and K.W. Neale
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EXTERNALLY BONDED REINFORCEMENT FOR SHEAR Shear Critical RC Beams Strengthened with CFRP Straps G. Kesse and J. M. Lees
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Effective Shear Strengthening of Concrete Beams using FRP Sheets with Bonded Anchorage B.B. Adhikary, H. Mutsuyoshi and M. Ashraf
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Behaviour of Concrete Structures Strengthened in Shear with CFRP A. Carolin and B. Taljsten
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Strengthening of RC T Beams in Shear with Carbon Sheet Laminates (CFRP) G.S. Melo, A.S. Aratijo and Y. Nagato
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Strength Analysis of Sheared Beams Retrofitted with Strengthening Materials 2.H. Xiong and M.N.S. Hadi
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Shear Performance with Externally Bonded Carbon Fibre Fabrics A. Li, C. Diagana, Y. Delmas and B. Gedalia
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Evaluation of Shear Capacity of RC Columns Strengthened by Continuous Fiber T. Furuta, T. Kanakubo and H. Fukuyama Shear Design Equations for FRP RC Beams M. Guadagnini, K. Pilakoutas and P. Waldron
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Strengtheningof Corrosion-DamagedRC Columns with FRP S.N. Bousias, T.C. Triantafillou, M.N. Fardis, L.A. Spathis and B. O’Regan
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Shear Strengthening of Concrete Bridge Decks using FRP Bar P. Valerio and T.J. Ibell
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EXTERNALLY BONDED REINFORCEMENTFOR CONFINEMENT
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Stress-Strain Relationship for FRP-Confined Concrete Cylinders G. Wu, Z. Lu and Z. Wu
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Stress-Strain Relationship for FRP-Confined Concrete Prisms G . Wu, 2. Wu and Z. Lu
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Concrete Cylinders Confined by CFRP Sheets Subjected to Cyclic Axial Compressive Load T. Rousakis, C.S. You, L. De Lorenzis, V. Tamuis and R. Tepfers
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Concrete Cylinders Confined by Prestressed CFRP Filament Winding under Axial Compressive Load T. Rousakis, C.S. You, L. De Lorenzis, V. Tamuis and R. Tepfers
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Concrete Confined with Fiber Reinforced Cement Based Thin Sheet Composites H.C. Wu and J. Teng
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Hoop Rupture Strains of FRP Jackets in FRP-Confined Concrete L. Lam and J.G. Teng
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Externally Confined High Strength Concrete Columns under Eccentric Loading J. Li, M. Moulsdale and M.S.N. Hadi
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Creep Performance of CFRP Confined Concrete Cylinders M. Thkriault, M.-A. Pelletier, K. Khayat and G. Al Chami
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Development/Splice Strength of Steel Bars in Concrete Confined with CFRP Sheets M.H. Harajli and B.S. Hamad
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Lateral Prestressing of RC Columns with FRP Jackets A.A. Mortazavi, K. Pilakoutas and M.A. Ciupala
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Confinement of RC Rectangular Columns Using GFRP A. Prota. G. Manfredi and E. Cosenza
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Behaviour of RC Columns Retrofitted by Fibre Reinforced Polymers under Cyclic Loads H. Shaheen, T. Rakib, Y. Hashem, I. Shaaban and A. Abdelrahman
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Photogrammetrically Measured Deformations of FRP Wrapped Low Strength Concrete A. Ilki, V. Koc, B. Ergun, M.O. Altan and N. Kumbasar
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FRPSTRUCTURAL SHAPES Rectangular FRP Tubes Filled with Concrete for Beam and Column Applications A.Z. Fam. D.A. Schnerch and S.H. Rizkalla
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Flexural Behaviour of GFRP-Polymer Concrete Hybrid Structural Systems M.C.S. Ribeiro, A.J.M. Ferreira and A.T. Marques
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A New Concept for an FRP Panelized Rapid Deployment Shelter N.M. Bradford and R. Sen
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Experimental Investigation of Pultruded FRP Section Combined with Concrete Slab A. Biddah
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VOLUME TWO
DURABILITY AND MAINTENANCE ~~~
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Research on Strength and Durability of GFRP Rods for Prestressed Concrete Tendons M. Sugiyama and T. Uomoto
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Durability of Concrete Beams Reinforced with GFRP Bars under Different Environmental and Loading Conditions K. Laoubi, E.F. El-Salakawy, B. Benmokrane and M. Pigeon
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Environmental Effects on RC Beams Strengthened with Near Surface Mounted FRP Rods F. Micelli, A. La Tegola and J.J. Myers
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Synergistic Hydrothermal Effects on Durability of E-Glass Vinylester Composites W. Chu and V.M. Karbhari
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Durability of GFRP Composites under Tropical Climate Y.S. Liew and K.H. Tan
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Effects of Different Long-Term Climatic Conditions on FRP Durability P. Labossihre, K.W. Neale and I. Nishizaki
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Durability of Aramid and Carbon FRP PC Beams under Natural and Accelerated Exposure H. Nakai, H. Sakai, T. Nishimura and T. Uomoto
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Effects of Wet Environment on CFRP-Confined Concrete Cylinders F. Micelli, L. De Lorenzis, and A. La Tegola
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Alkali Aggregate Reactive Mortar Cylinders Partly Restrained by External CFRP Fabric B.J. Wigum
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ASR Expansion Reduction and Ductility Improvement by CFRP Sheet Wrapping A. Hattori, S. Yamamoto, T. Miyagawa and Y. Kubo
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Durability of GFRP Rebars in Concrete Beams under Sustained Loads at Severe Environments T.H. Almusallam, Y.A. Al-Salloum, S.H. Alsayed and A.M. Alhozaimy
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Influence of Sustained Stress on the Durability of GFRP Bars Embedded in Concrete V. Dejke, 0. Poupard, L.O. Nilsson, R. Tepfers and A. Air-Mokhrar
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A Maintenance Strategy for FRP Strengthening Systems P. Desiderio
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SUSTAINED AND FATIGUE LOADS Viability of using CFRP Laminates to Repair RC Beams Corroded under Sustained Loads T. El Maaddawy and K. Soudki
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Fatigue Bond of Carbon Fiber Sheets and Concrete in RC Slabs Strengthened by CFRP A. Kobayashi, S. Matsui and M. Kishimoto
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Fatigue Performance of RC Beams Strengthened with CF Sheets Bonded by Inorganic Matrix H. Toutanji, Y. Deng and M. Jia
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Fatigue Performance of RC Beams Strengthened with Externally Prestressed PBO Fiber Sheets Z . Wu, K. Iwashita, T. Ishikawa, K. Hayashi, N. Hanamori, T. Higuchi, A. Ikeda, T. Takeda, S . Murakami and T. Ichiryu
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Prestressed CFRP Sheets for Strengthening Reinforced Concrete Structures in Fatigue R. El-Hacha, R.G. Wight, P.J. Heffernan and M.A. E r h
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Fatigue Behaviour of Bridge Deck Specimen Strengthened with Carbon Fiber Polymer Composites J. Sim and H.S. Oh
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Static and Fatigue Tests on Precracked RC Beams Strengthened with CFRP Sheets Z.Y. Wu, J.L. Clement, J.-L. Tailhan, C. Boulay and P. Fakhri
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Fatigue Investigation of Concrete Bridge Deck Slab Reinforced with GFRP and Steel Strap A.H. Memon, A.A. Mufti and B. Bakht
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PRESTRESSED FRP REINFORCEMENT AND TENDONS Fatigue of High Strength Concrete Beams Pretensioned with CFRP Tendons B.B. Agyei, J.M. Lees and G.P. Terrasi
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Transverse Confinement of Deck Slabs by Concrete Straps V. Banthia, A.A. Mufti, D. Svecova and B. Bakht
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Design of Anchorage Zones for FRP-Prestressed Concrete T.J. Ibell, L. Gale and M.C. Choi
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A Simple Continuous System of Shear Reinforcement with Polyacetal Fiber R. Tuladhar, Y. Utsunomiya, Y. Sat0 and T.Ueda
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Analytical Modeling of Splitting Bond Failure for NSM FRP Reinforcement in Concrete L. De Lorenzis and A. La Tegola
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Strengthening of RC Beams with External FRP Tendons: Tendon Stress at Ultimate R.A. Tjandra and K.H. Tan
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Comparative Analysis on Stress Calculation Methods for External FRP Cables L. An, T. Yamamoto, A. Hattori and T. Migayama
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Moment Redistribution in Continuous Monolithic and Segmental Concrete Beams Prestressed with External Aramid Tendons A.F. Araujo and G.B. Guimarles
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Experimental Investigation on the Ductility of Beams Prestressed with FRP M.M. Morais and C.J. Burgoyne
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Time-Dependent Flexural Crack Width Prediction of Concrete Beams Prestressed with CFRP tendons P.X.W. Zou and S.T. Smith
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STRUCTURAL STRENGTHENING Multiscale Reinforcement Concept for Employment of Carbon Fiber Woven Mesh K. Yamada, S. Ishiyama, H. Mihashi and K. Kirikoshi
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Woven Composite Fabric to Strengthen Structurally Deficient RC Beams H.Y. Leung, R.V. Balendran and T. Maqsood
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Calibration of Partial Safety Coefficients for FRP Strengthening G. Monti and S. Santini
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Comparison between FRP Rebar, FRP Grid and Steel Rebar Reinforced Concrete Beams M. Ozel, L.C. Bank, D. Arora, 0. Gonenc, D. Gremel, B. Nelson and D. McMonigal
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Concrete Beams Strengthened with Pre-Stressed Near Surface Mounted Reinforcement H. Nordin and B. Taljsten
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Strengthening of One-way RC Slabs with Openings using CFRP Systems H.D. Zhao and K.H. Tan
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Experimental Results of One-way RC Slabs with Openings Strengthened with CFRP Composites P. Casadei. T.J. Ibell and A. Nanni
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Seismic Behaviour of Reinforced Concrete Beam-Column Joint Strengthened with GFRP Y. Ouyang, X.L. Gu, Y.H. Huang and Z.Z. Qian
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FRP Seismic Strengthening of Columns in Frames M.A. Ciupala, K. Pilakoutas and N. Taranu
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Retrofitting of Shear Walls Designed to BS8110 for Seismic Loads using FRP K.H. Kong, K.H. Tan and T. Balendra
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Strengthening of Interior Slab-Column Connections with CFRP Strips K. Soudki, T. Van Zwol and R. Sherping
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Effectivenessof FRP Plate Strengtheningon Curved Soffits A.D. Porter, S.R. Denton, A. Nanni and T.J. Ibell
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Strengthening Performance of FRP Sheets Bonded to Concrete Tunnel Linings Z. Wu, W. He, J. Yin, Y. Kojima and T. Asakura
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Strengthening of Concrete Structures in Torsion with FRP B. Taljsten
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FE Modelling of FRP-Repaired RC Plane Stress Elements N. Khomwan and S.J. Foster
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APPLICATIONSIN MASONRY AND STEEL STRUCTURES Blast Resistance of Prototype In-Built Masonry Walls Strengthened with FRP Systems (Honourable Mention) M.K.H. Patoary and K.H. Tan
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Retrofit Techniques using Polymers and FRPs for Preventing Injurious Wall Debris J.E. Crawford and K.B. Morrill
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Experimental Behaviour of Masonry Panels Strengthened with FRP Sheets G. Marcari, G. Manfredi and M. Pecce
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Flexural Strengthening of URM Walls with FRP Systems V. Turco, N. Galati, J.G. Tumialan and A. Nanni
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Shear Strengthening of URM Clay Walls with FRP Systems S. Grando, M.R. Valluzzi, J. G. Tumialan and A. Nanni
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Effect of FRP Mesh Reinforcement on Shear Capacity and Deformability of Masonry Walls S . Russo, R. Gottardo and D. Codato
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Strengthening of Masonry Structures under Compressive Loads by using FRP Strips M.R. Valluzzi, D. Tinazzi and C. Modena
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Seismic Behaviour of Masonry Structural Walls Strengthened with CFRP Plates X.L. Gu, Y. Ouyang, W.P. Zhang and F.F. Ye
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Advanced Composite Materials for the Repair of Steel Structures A.H. Al-Saidy, T.J. Wipf and F.W. Klaiber
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FIELD APPLICATIONS AND CASE STUDIES
Construction and Evaluation of Full-Scale CFRP Prestressed Concrete DT-Girder N.F. Grace and G.A. Sayed
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Flexural Behaviour of Bridge Deck Slabs Reinforced with FRP Composite Bars E.F. El-Salakawy, C. Kassem and B. Benmokrane
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Details and Specifications for a Bridge Deck with FRP Framework, Grid and Rebar L.C Bank, M.G. Oliva, J.S. Russell, D.A. Dieter, J.S. Dietsche, R.A. Hill, B. Gallagher, J.W. Carter, S. Woods and A.H. Anderson
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Construction, Testing and Monitoring of FRP RC Bridges in North America B. Benmokrane, E.F. El-Salakawy, G. DesgagnC and T. Lackey
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Strengthening of Concrete Structures with Prestressed and Gradually Anchored CFRP Strips (Best Paper - Application) I. Stoecklin and U. Meier
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Strengthening of Concrete Bridges with Carbon Cables and Strips T. Keller
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New Corrosion-Free Concrete Bridge Barriers Reinforced with GFRP Composite Bars E.F. El-Salakawy, R. Masmoudi, B. Benmokrane, F. Brikre and G. DesgagnC
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Strengthening of Steel Silos with Post-Tensioned CFRP Laminates L. De Lorenzis, F. Micelli and A. La Tegola
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Seismic Performance Improvement of the Bell Tower in Serra S. Quirico by Composites E. Cosenza, I. Iervolino and E. Guglielmo
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Strengthening with CFRP under Simulated Live Loads A. Hejll, A. Carolin and B. Taljsten
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Composite Structural Systems - From Characterization to Field Implementation V.M. Karbhari, H. Guan and L. Zhao
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Optimal Cost Design for Beams Prestressed with FRP Tendons I. Balafas and C.J. Burgoyne
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FRP in Civil Engineering in China: Research and Applications L.P. Ye, P. Feng, K. Zhang, L. Lin, W.H. Hong, Q.R. Yue, N. Zhang and T. Yang
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CODES AND STANDARDS Design Concepts of the New Swiss Code on Externally Bonded Reinforcement T. Vogel and T. Ulaga
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Design Guideline for CFRP Strengthening of Concrete Structures B. Taljsten
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Design Practice of Framed Building Structure Based on AIJ Design Guideline 2002 K. Kobayashi, H. Fukuyama, T. Fujisaki, S. Fukai and T. Kanakubo
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Evaluations of Continuous Fiber Reinforced RC Members based on AIJ Design Guildeline 2002 K. Nakano. Y. Matsuzaki., T. Kaku and K. Masuo
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Design Procedure of NSM FRP Reinforcement for Strengthening of RC Beams L. De Lorenzis and A. Nanni
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Keynote Papers
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan QWorld Scientific Publishing Company
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FRP REINFORCEMENTS IN STRUCTURAL CONCRETE: ASSESSMENT, PROGRESS AND PROSPECTS A.E. NAAMAN Department of Civil and Environmental Engineering University of Michigan, Ann Arbor, 48109-2125, USA
Key technical issues regarding the use of FRP reinforcements are reviewed, and assessment of the state of progress made. They include ductility in bending, shear resistance, dowel resistance, and a brief discussion related to fire, heat and durability. It is observed that technical problems can all be resolved, but each at a significant increase in cost. This adds to the already high cost of FRP reinforcements in comparison to steel, discouraging their use except for very special applications. However, in thin concrete products and laminated cementitious composites, FRP reinforcements in the form of meshes, textiles or fabrics are not only competitive on a technical basis but also on a cost basis. Recommendations for use of FRP reinforcements in cost-effective applications are made.
INTRODUCTION
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The applicability of Fiber Reinforced Polymer (FRP) reinforcements to concrete structures as a substitute for steel bars or prestressing tendons has been actively studied in numerous research laboratories and professional organizations around the world 33. FRP reinforcements offer a number of advantages such as corrosion resistance, non-magnetic properties, high tensile strength, lightweight and ease of handling. However, they generally have a linear elastic response in tension up to failure (described as a brittle failure) and a relatively poor transverse or shear resistance. They also have poor resistance to fire and when exposed to high temperatures. They loose significant strength upon bending, and they are sensitive to stress-rupture effects. Moreover, their cost, whether considered per unit weight or on the basis of force carrying capacity, is high in comparison to conventional steel reinforcing bars or prestressing tendons. From a structural engineering viewpoint, the most serious problems with FRP reinforcements are the lack of plastic behavior and the very low shear strength in the transverse direction. Such characteristics may lead to premature tendon rupture, particularly when combined effects are present,
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4 FRPRCS-6: Keynote Paper
such as at shear-cracking planes in reinforced concrete beams where dowel action exists. The dowel action reduces residual tensile and shear resistance in the tendon. Solutions and limitations of use have been offered and continuous improvements are expected in the future. The unit cost of FRP reinforcements is expected to decrease significantly with increased market share and demand. However, even today, there are applications where FRP reinforcements are cost effective and justifiable. Such cases include the use of bonded FRP sheets or plates in repair and strengthening of concrete structures, and the use of FRP meshes or textiles or fabrics in thin cement products. The cost of repair and rehabilitation of a structure is always, in relative terms, substantially higher than the cost of the initial structure. Repair generally requires a relatively small volume of repair materials but a relatively high commitment in labor. Moreover the cost of labor in developed countries is so high that the cost of material becomes secondary. Thus the highest the performance and durability of the repair material is, the more cost-effective is the repair. This implies that material cost is not really an issue in repair and that the fact that FRP repair materials are costly is not a constraining drawback. This paper provides a summary of key results and assessment of several research studies carried out by the author and his students at the University of Michigan on the use of FRP reinforcements in reinforced, prestressed and partially prestressed concrete members, and in laminated cementitious composites’2-28. It also provides some information on what the author believes are the most interesting and cost-effective applications of FRP reinforcements for today’s market conditions. Results of an opinion survey of a number of experts on “assessment of progress and prospects of FRP reinforcements,” are reported in a parallel paper and should be used to complement the information described here.
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STRUCTURAL DUCTILITY Structural ductility is of main concern in concrete beams reinforced or prestressed with FRP reinforcements due to FRP materials’ linear elastic behavior up to rupture without yielding. Unless ductility requirements are satisfied, FRP materials cannot be used reliably in structural engineering applications. Extensive experimental and analytical studies were carried out on structural ductility of concrete beams prestressed or partially prestressed with FRP tendons. Their main objective was to evaluate the ductility of
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FRP Reinforcements in Structural Concrete 5
these beams by various measures, and suggest ways to improve such ductility for structural applications. Details are given in Refs. [9,12,13,14,16]. TC9 TC6a TC6
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Conventional definitions of the ductility index which are based on yielding of the reinforcement, are inappropriate for the evaluation of structural ductility in concrete beams reinforced or prestressed with FRP tendons. A new definition of ductility index was proposed. The new definition is expressed in terms of the ratio of the total energy to the elastic energy at the failure-state of a beam. It is applicable to beams with steel as well as brittle FRP reinforcements, thus providing a common basis for comparison. Results confirmed without the shadow of a doubt, that, everything else being equal, beams with FRP tendons tend to have lower ductility indices than beams with steel strands. This is illustrated in Fig. 1 where the ductility index is calculated on the basis of energy consideration from the following equation:
where Elotalis the total energy consumed to failure and Eelaslrris the elastic energy recovered at failure. For an elastic perfectly plastic material, Eq. (1) leads to a ductility index equal to the ratio of ultimate deflection to the
6 FRPRCS-6: Keynote Paper
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deflection at yield, that is, same as the conventional ductility index. Generally, higher ductility can be achieved by using proper design parameters or by considering several improvement methods such as fiber reinforcement or confinement. These methods are described next.
Approaches to Improve Structural Ductility
Structural ductility can be improved in several ways the most obvious being by the use of ductile materials. However, both FRP tendons and concrete are rather brittle and structural ductility must be achieved by other means. The approaches considered include the ideas described next 9.14916221.
Confinement b y fiber reinforcement. Increasing the compression strain capacity of the concrete by adding discontinuous fibers to the concrete, the fibers being steel or polymeric, should have similar effect as lateral confinement. First, fibers substantially influence the stress strain curve of concrete in compression, leading to a much more ductile behavior; this can be used to increase the non-recoverable part of the deflection at ultimate, leading to a substantial improvement in ductility index. Second, the use of fibers in appropriate amounts would easily increase the fracture energy of concrete by one to two orders of magnitude and, therefore, would balance the effects of elastic energy released by the FRP tendons should their failure occur. For applications requiring non-magnetic properties, polymeric fibers can be used. Jeong and Naaman 9 ~ 1 2 3 1have 6 shown that the use of fibers in otherwise over-reinforced (brittle) concrete beams led to ductility indices ranging from 2.9 to 5.45 and energy ratios from 3.7 to 9.2 (the control beam had values of 1). Note also that fibers can be used selectively in the structure, such as in the compressive zone only, or where a failure mechanism (producing hinges) is designed to occur. Their addition to concrete has a number of other benefits such as improving the shear capacity of the concrete matrix, decreasing crack widths, improving the inelastic bond between the reinforcement and concrete, and holding the concrete cover against spalling.
Confinement b y spirals and/or stirrups. Increasing the strain capacity of the concrete at failure by providing lateral confinement through spirals or stirrups made from steel or FRP reinforcements would increase the spread of plasticity in the compression zone of the concrete and lead to improved ductility. Using spirals with FRP is far more effective than bending them sharply into rectangular or square stirrups. Layered tendon and effective prestress design. Here it is suggested to place the prestressing reinforcement in layers and design the effective prestress in
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FRP Reinforcements in Structural Concrete 7
each layer so as to provide a step like progressive failure with increasing deflections. Partial PrestressinR or hybrid combination o f reinforcements. Using partially prestressed concrete where prestressed FRP tendons are combined with conventional steel reinforcing bars or specially designed low strengthhigh ductility FRP bars allows sufficient flexibility to achieve increased ductility. Unbonded tendons. From an analytical viewpoint, the use of unbonded tendons, internal or external, is very attractive since the stress in the tendons does not reach ultimate prior to the failure of the concrete. This allows maximum ductility use from the concrete side while the risk of failure of the reinforcement is minimal. However, the use of unbonded FRP tendons implies the use of perfect anchorages that can sustain fatigue loading; moreover, external tendons can be very vulnerable to vandalism, and should they fail, they release an enormous amount of elastic energy that can be devastating. The transition failure from bonded to unbonded may provide an attractive solution as described next. Controlled bond failure. Design the interface between the FRP reinforcement and the concrete matrix so as to trigger a bond failure when the stress in the tendons reaches a threshold level, thus moving from a bonded tendon configuration to an unbonded tendon configuration. Technologically, this approach should not provide any difficulty. ODtimizina sectional ductility throunh ProQer reinforcement. Designing the section and proportioning the reinforcement in order to take advantage of the full strain capacity of concrete simultaneously with that of the reinforcement, is an essential design objective. Everything else being equal, sectional ductility can be improved by properly proportioning and placing the reinforcement in the section, and by selecting the effective prestress in the tendons. In particular, in order to better utilize the low strain capacity of the FRP reinforcement, it seems appropriate to design the section so as to achieve a neutral axis at ultimate as low as possible within the section. This somehow imply a section that is close to being over-reinforced.
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Assessment Summary on Ductility
Concrete structures using FRP reinforcements can be made sufficiently ductile to meet most design requirements. However, this will only come at a significant increase in cost.
8 FRPRCS-6: Keynote Paper
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BEHAVIOR IN SHEAR The majority of research on coricrete structures using FRP reinforcements has been on members that are not shear critical. Unlike flexural behavior, shear resisting behavior is quite complex by itself even in ordinary reinforced or prestressed concrete members. Furthermore, the experimentally derived prediction equations for the shear capacity of prestressed concrete members using steel tendons has not yet been proven applicable when FRP tendons are used. This is because the mechanical characteristics of FRP reinforcement, such as no yielding behavior, low shear or transverse strength, and low elastic modulus, are significantly different from those of steel tendons.
Dowel Action The longitudinal reinforcement, which is designed primarily to resist flexural tension, is often required to carry a shear force by dowel action across a diagonal tension crack. If the crack opens (rotates) slightly, a shear displacement will result from the rotation of a beam about the crack tip and the shear slip due to the shear force along the crack face. To resist differential shear displacement between the crack faces, the bars or tendons develop dowel shear forces. This counteraction of the bars or tendons to displacement is called "dowel action" (Fig. 2).
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Figure 2 Dowel action at shear cracks in a concrete beam In a diagonally cracked prestressed concrete beam, dowel action leads to a dowel bending moment and a shear force in the tendon itself, in addition to the tensile force due to the effective prestressing force and the applied load. As the bending moment and the shear force due to dowel action increase
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FRP Reinforcements in Structural Concrete 9
with loading, bending and shear stresses initiate simultaneously in the FRP tendon and become larger. Under these combined tensile and shear stresses, the tendon may fail prematurely, that is before reaching its unidirectional tensile strength. Generally the available tensile strength of FRP reinforcements decreases as their shear stress increases. Thus, dowel action reduces the allowable tensile stress in the tendon beyond that already caused by the effective prestressing force and applied load. Park and Naaman 18,25926327328carried out an experimental investigation of the shear behavior of concrete beams prestressed with CFRP tendons. They observed a mode of failure, not encountered with steel reinforcements, described as shear tendon rupture failure which is due to tendon rupture by dowel shear at the shear-cracking plane (Fig. 3). It is attributed to the brittle behavior and low transverse resistance of FRP tendons. This mode of failure is unique to FRP tendons and was not previously observed when steel tendons are used, because of the steel’s high transverse resistance and yielding characteristics. Shear tendon rupture failure may result in a serious reduction in load carrying capacity and ductility. Typical failure of a beam prestressed with FRP tendons that failed by shear tendon rupture is shown in Fig. 4.
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10 FRPRCS-6: Keynote Paper
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FRP Reinforcements in Structural Concrete 11
Conclusions from Study of Shear Following are some N~~~~~ 18.25,26,27,28.
conclusions drawn from the studies by Park and
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The shear-tendon rupture failure is a unique mode of failure characteristic of concrete beams prestressed with FRP tendons. It is due to tendon rupture by dowel shear at the shear-cracking plane. This premature failure is attributed to the poor resistance of FRP tendons in the transverse direction and their brittle behavior. Such a failure will result in lesser beam shear resistance and lesser ductility (Fig. 5). The shear-tendon rupture failure occurred at the flexural-shear-cracking plane in beams with FRP tendons, even when the effective prestress ratio was low (about 40%) and the required amount of steel stirrups were provided according to the ACI code. The ultimate shear displacement and crack width of prestressed beams which failed by shear-tendon rupture were respectively about one third and one half those of similar beams with steel tendons. Adding steel fibers is a possible way to improve the shear resistance of concrete beams prestressed with FRP tendons by avoiding or delaying shear-tendon rupture failure.
DOWEL BEHAVIOR OF TENSIONED FRP TENDONS Background and Significance It is generally agreed that the resistance in shear of steel bars or prestressing tendons is not less that 40% of their tensile yield resistance, and yielding in shear is the prevailing mode of failure under transverse loading. Thus, dowel resistance at shear cracks is generally assumed non critical when steel bars or tendons are used, because they yield under load. This is not the case for FRP tendons which do not undergo yielding. Moreover their observed shear resistance seem to be test dependent. Their failure due to transverse shear by dowel effect along cracked planes may lead to premature failure of structural members. Such behavior must be understood and accounted for in design. An experimental and analytical investigation of dowel action was carried out to study the dowel behavior of CFRP tendons subjected to combined tensile and shear forces (Fig. 6). Details are given in Refs. [26,27]. Key results are summarized next.
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Main Conclusions from Dowel Action Tests The ultimate dowel shear resistance of FRP tendons was 2 to 2.5 times smaller than that of steel tendons and their shear displacement at ultimate was about six times smaller (Fig. 7). Roughly the transverse shear resistance of FRP tendons varied from about 7% to 20% of their tensile strength (in comparison to 40% for steel). Dowel specimens with non-prestressed FRP tendons showed some ductility under increasing load due to crushing and cracking of the concrete surrounding the tendons. The ultimate dowel shear force of FRP tendons subjected to tensile and shear forces decreased elliptically as the tensile force increased. Theoretically, this failure behavior satisfies the maximum work theory, commonly referred to as the Tsai-Hill criterion, which is best described by an interaction curve. The ultimate dowel shear displacement of the FRP tendons subjected to tensile and shear forces decreased linearly with the increase of the tension ratio. Everything else being same, adding stirrups or adding fibers to the concrete, or using higher strength concrete lead to an increase in
14 FRPRCS-6: Keynote Paper
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ultimate dowel resistance and a decrease in the corresponding shear displacement at failure.
5 ) The dowel response of specimens with shear planes inclined at 45O was more ductile than that with vertical shear planes, due to crushing and cracking of the concrete surrounding the tendons. However their ultimate shear force was only about 57% of that of specimens with vertical shear planes. Assessment Summary on Shear
Concrete structures using FRP reinforcements can be designed for shear; a safety factor higher that with steel reinforcement may be needed. As with the case of ductility, this will undoubtedly increase the cost. Clearly, from a structural design viewpoint, unbonded external tendons which are subjected neither to shear nor to dowel effects would be best.
HEAT AND FIRE RESISTANCE Few studies were devoted to evaluating the heat resistance, behavior under fire, or behavior after fire exposure, of concrete structures with FRP reinforcements 11,29330v31,34. It is fair to say that the concrete here protects the FRP reinforcement, and that the resin of the FRP reinforcement is the weakest link under high temperature exposure or fire. There is evidence that if the temperature is kept 20°C to 30°C below the glass transition temperature of the resin, the reinforcement remains fully effective 35. For practical purposes, this means a temperature below about 40°C. However for temperatures in the range of 60°C to 90°C deterioration due to creep may be significant depending on the type of resin matrix 35. There is also legitimate concern about the integrity of a structure following a fire, and the potential release of toxic fumes during a fire. A great deal of research is needed in applications where fire is an important design criterion. Although FRP reinforcements are not corrosion sensitive like steel, they do have other durability problems when subjected to various environmental conditions 32. Information is still very much needed in this area in order to provide assurance to the user, without the shadow of a doubt, that FRP reinforcements are indeed durable in the long term under the same environmental conditions for which steel reinforcements are exposed. Developing FRP reinforcements with improved heat resistance and stability for various environmental conditions will invariably lead to an increase in material cost.
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FRP Reinforcements in Structural Concrete 15
DO COST COMPETITIVE APPLICATIONS EXIST AT THIS TIME? The technical drawbacks of FRP reinforcements (brittleness and low shear resistance) can be technically accommodated in a concrete structure but each at a significant increase in cost. However, these drawbacks which are quite critical for conventional concrete structures, seem to be less critical for applications in thin concrete products and thin laminated cementitious composites such as ferrocement 24. This is because ductility in laminated composites is guaranteed by the arrangement of the reinforcement system, and because meshes do no fail abruptly but rather through some progressive fracturing of their different wires or fibers15217322; also in thin sheets, vertical shear is not critical but interlaminar shear could be. Advanced fiber reinforced polymeric (FRP) meshes (textiles, fabrics, grids), may offer enormous advantages in spite of their initial high cost. This is because, unlike steel wire meshes, they can be tailored to exact requirements (i.e. fiber denier or diameter, mesh opening, etc..) at little extra cost, and they offer better corrosion resistance than ordinary steel reinforcements in thin products where the concrete cover to the reinforcement is small. Moreover they can be delivered in virtually any length, they are lightweight and they can be easily shaped to requirements. Thin reinforced concrete products such as cement sheets, ferrocement elements, glass fiber reinforced cement cladding and the like, generally utilize a high percentage of reinforcement (2% to 8% by volume) in comparison with conventional reinforced concrete (less than 2.5%); moreover the steel reinforcement in these products which consists of welded wire fabric, steel wire mesh, expanded metal mesh, or discontinuous fibers is two to ten times more expensive, on a unit weight basis, than conventional steel reinforcing bars. Fabricating a smaller diameter steel wire from a steel rod drives the cost of steel meshes very high. The smaller the diameter is, the higher the cost. The cost of the mesh is based on unit weight while the mesh mechanical efficiency is based on volume fraction in the composite. Since the unit weight of steel ranges from 5 to 8 times that of FRP materials, and since the composite properties are based on volume fraction of mesh reinforcement, cost comparison based on equal performance may favor FRP meshes. Also, the reinforcement content in thin cement products such as ferrocement is high in comparison to conventional reinforced concrete; as the cost of steel meshes is up to six times that of reinforcing bars, ferrocement (and generally thin concrete and laminated cementitious products) are ideally suited as an immediate market application for fiber reinforced polymeric (FRP)
16 FRPRCS-6: Keynote Paper
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reinforcements. Moreover, it is likely that future developments and applications will make FRP meshes (grids, textile, fabrics) increasingly cost competitive, especially when life-cycle cost analysis is considered, and advanced reinforcing configurations such as 3D meshes and mats become available.
FRP REINFORCEMENTS IN LAMINATED CEMENTITIOUS COMPOSITES AND HYBRID COMPOSITES When FRP meshes (or textiles, or fabrics) are used in thin cement products, the composite is called a laminated cementitious composites. A number of studies on the properties of such composites can be found in Refs. [ 15,17,19,20,22,24]. The FRP meshes used for demonstration in these studies included Kevlar (aramid fibers), Spectra (highly oriented polyethylene fibers), Carbon, PVA (poly-vinyl-alcohol), and polypropylene. The term “hybrid composite” implies a combination of continuous meshes such as carbon or steel, with discontinuous fibers such as PVA or steel. The fibers are generally premixed with the mortar matrix.
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I8 FRPRCS-6: Keynote Paper
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Typical results of laminated cementitious composites (LCC or ferrocement) bending tests using FRP meshes are shown in Figs. 8 and 9. Instead of plotting load versus deflection curves, the equivalent elastic flexural stress 2
for a rectangular plate ( oe = M I bh ), assuming uncracked section, was plotted versus the deflection. The equivalent elastic flexural stress accommodates automatically different geometric properties and test conditions, providing a good basis for comparison. All specimens described 0 ( 0 . 5 ~ 3 ~ 1in); 2 they were tested in in Figs. 8 and 9 were 1 2 . 7 ~ 7 5 ~ 3 0mm bending under third point loading with a span of 225 mm (9 in). Figure 8 shows a typical response of hybrid laminated cementitious composite plates reinforced with 2 layers of PVA meshes and PVA fibers; it also illustrates in this case the additive contribution of the fibers and the mesh. Figure 9 compares the stress-deflection response in bending of composite plates containing only two layers of either carbon, or Kevlar or Spectra mesh. Since the two layers of each mesh correspond to different volume fractions of reinforcement, some scaling should be used in comparing the effects of different mesh materials. However, Fig. 9a should be compared with Fig. 9b where the bending response of similar specimens, now containing in addition 1% fibers by volume, is shown. It can be observed that the addition of fibers is beneficial in many ways; it led to significant improvement in bending strength (more than 50%), deflection at maximum load, and toughness (measured as the area under the loaddeflection curve). Fibers also led to increased cracking strength, finer crack widths and smaller crack spacing.
Conclusions from Sudy of Laminated Cementitious Composites
1. Laminated cementitious composites using high performance FRP reinforcements (Kevlar, Spectra, and carbon), in the form of meshes, textiles or fabrics, exhibit excellent strength and ductility properties. A modulus of rupture close to 27 MPa was obtained with only 1.15% total volume fraction of Kevlar mesh. The addition of 1% by volume of discontinuous PVA fibers increased the modulus of rupture to about 39 MPa. Spectra and Kevlar type meshes led to similar results. 2. Fiber reinforced plastic meshes do enhance the multiple cracking process in laminated cementitious composites to the same extent known in ferrocement reinforced with steel meshes. Good multiple cracking developed with Kevlar and Spectra meshes, whether discontinuous fibers were added or not to the mix. More than sufficient ductility was also achieved.
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FRP Reinforcements in Structural Concrete 19
3. The addition of 1% PVA fibers by volume to specimens reinforced FRP meshes, led, on the average, to an increase in first cracking strength from about 5.3 MPa to about 8 MPa. 5 . When only 2 layers of Kevlar and Spectra meshes were used, failure was by interlaminar shear delamination. The addition of discontinuous fibers to the matrix led to increases in post-cracking strength of up to 50% and changed the failure mode from delamination to vertical shear.
The use of hybrid composites defined as composites reinforced with a combination of continuous meshes and discontinuous fibers offers clear advantages. They are ideally suited for applications in thin concrete products. In these composites, at least two layers of mesh are placed near the outer surfaces of the composite, and intermediate layers of mesh are replaced by discontinuous fibers. The fibers may be premixed with the mortar matrix or used in a mat structure. The combined utilization of fibers and meshes provides synergistic advantages due to each reinforcing system, in which the mesh contributes most to the load resistance and the fibers, while contributing their share of resistance, mostly contribute to crack control, toughness and ductility. Laminated cement based composites such as described above promise to become viable competitors to any existing fiber reinforced cement based thin sheet products as well as ferrocement products. Their efficiency in terms of modulus of rupture and ductility is unmatched at this time by any other cement composite including conventional RC and PC.
Assessment Summary on Applications in Thin Concrete Products
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Thin cement based products using FRP reinforcements (meshes, textiles, fabrics) are not only competitive performance-wise, but also cost-wise. The use of FRP reinforcements in such applications should be pursued aggressively and is the best way to establish a credible record for the future.
GENERAL CONCLUSIONS AND RECOMMENDATIONS ON APPLICABILITY OF FRP REINFORCEMENTS From the above assessment, a number of recommendations can be inferred, and while they could be argued, they seem to be safe at time of this writing. Given the poor ductility and shear resistance of FRP reinforcements, it seems that the most effective way to use them, while avoiding excessively costly solutions, is under the following conditions:
20 FRPRCS-6: Keynote Paper
For FRP bars or tendons: 0
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Prestressed members in order to take advantage of their strength; Prestressed, preferably unbonded construction, in order to make sure that their tensile strength is not attained at member failure, thus insuring some ductility; Prestressed, preferably unbonded, preferably external tendons in order to avoid dowel shear failure; Unless special requirements are desired and justify a significant increase in cost, it can be stated that, at time of this writing, FRP reinforcements are not cost-effective in conventional reinforced concrete structures.
For FRP sheets: For repair and strengthening, for confinement, or for protection from aggressive environments. (This application has not been discussed in this paper but is evident from the current state of progress and utilization worldwide).
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For FRP meshes or textiles or fabrics:
Definitely in thin concrete products and cement sheet applications and in combination with fibers; they exhibit superior performance while being cost effective.
ACKNOWLEDGMENTS The research work of the author has been funded in the past by several grants from the US National Science Foundation and by the University of Michigan. Their support is gratefully acknowledged.
REFERENCES Hundreds of references are available for information on the topics discussed in this paper. Given space availability, the author lists below only a very small number of references, among which the proceedings of previous FRPRC symposia and the main research studies used to formulate the above opinion assessment.
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FRP Reinforcements in Structural Concrete 21 1. ACI Committee 440, Guide for the Design and Construction of Concrete Reinforced with FRP Bars, Manual of Concrete Practice, American Concrete Institute, Farmington Hills, 2001. 2. ACI Committee 440, Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures, ACI 440.2R-02, American Concrete Institute, Farmington Hills, 2002. 3. ACT, Proceedings International Symposium on FRP Reinforcements in Concrete Structures, A. Nanni, and C.W. Dolan, Editors, ACI SP-138, American Concrete Institute, Farmington Hills, 1993. 4. ACI, Proceedings 4th International Symposium on FRP Reinforcements in Reinforced Concrete Structures, FRPRCS 4, ACI October 1999. 5. Benmokrane, B., and El-Salakawy, E.F., (Editors), “Durability of FiberReinforced Polymer (FRP) Composites for Construction,” Proceedings of 2”d International Conference, May 2002, Univeristy of Sherbrooke, Canada, 715 pages. 6. Burgoyne, C., (Editor), “FRP Reinforcements in Concrete Structures FRPRCS,” Proceedings, University of Cambridge, U.K., 200 1. 7. Japan Concrete Institute (JCI), Technical Report on Continuous Fiber Reinforced Concrete, TC 952: Committee on Continuous Fiber Reinforced Concrete, Tokyo, Japan, 1998. 8. Japan Society of Civil Engineers, JSCE Research Subcommittee on Continuous Fiber Reinforcing Materials, “Application of Continuous Fiber Reinforcing Materials to Concrete Structures,” International Concrete Library, No. 19, June 1992 9. Jeong, S.M., Naaman, A.E., and Tan, K.H., “Investigation of Beams Partially Prestressed with Carbon Fiber Reinforced Composite Tendons,” Proceedings of the FIP X I I Congress, Washington, May 1994, pp. B56-B61. 10. Harris, H.G., Somboonsong, W., and KO, F.K., “New Ductile Hybrid FRP Reinforcing Bar for Concrete Structures,” Journal of Composites for Construction, Vol. 2, No. 1, ASCE, Reston, Virginia, Feb. 1998, pp. 28-37. 11. Katz, A., Berman, N., and Bank, L., “Effect of Cyclic Loading and Elevated Temperature on the Bond Properties of FRP Rebars,” International Conference on the Durability of Fiber Reinforced Polymer for Construction, Sherbrooke, Canada, 1998, pp. 403-413. 12. Naaman, A.E., and Jeong, S.M., ”Considerations of Structural Ductility with External Tendons,” Proceedings, Workshop on Behavior of External Prestressing in Structures, St. Remy, France, June 1993.
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22 FRPRCS-6: Keynote Paper
13. Naaman, A.E., Tan, K.H., Jeong, S.M., and Alkhairi, F., "Partially Prestressed Beams with Carbon Fiber Composite Strands: Preliminary Tests Evaluation," Proceedings of ACI International Symposium on FRP Reinforcements in Concrete Structures, American Concrete Institute, ACI SP-138, 1993, pp. 441-464. 14. Naaman, A.E, "Ductility Implications of Prestressed and Partially Prestressed Concrete Structures Using Fiber Reinforced Plastic Reinforcements," FIP Symposium 93, Modern Prestressing Techniques and their Applications, Kyoto, Japan, October 1993, pp. 757-766. 15. Naaman, A.E., and Al-Shannag, J. "Ferrocement with Fiber Reinforced Plastic Meshes: Preliminary Investigation" Proceedings of the Fifth International Symposium on Ferrocement, Manchester, England, September 1994. P. Nedwell and N.R. Swamy, Editors, E. and FN Spon, London. 16. Naaman, A.E. and Jeong, S.M., "Structural Ductility of Beams Prestressed with FRP Tendons." Proceedings 2nd International Symposium on Non-Metallic (FRP) Reinforcement f o r Concrete Structures, L. Taerwe, Editor, Ghent, Belgium, August 1995; RILEM Proceedings 29, E & FN Spon, London, pp. 379-386. 17. Naaman, A.E., and Guerrero, P., "Bending Behavior of Thin Cement Composites Reinforced with FRP Meshes," Proceedings of First International Conference on Fiber Composites in Infrastructures, ICCI 96, Edited by H. Saadatmanesh and M. Ehsani, University of Arizona, Tucson, January 1996, pp. 178-189. 18. Naaman, A.E., and Park, S.Y., "Shear behavior of concrete beams prestressed with CFRP tendons: Preliminary test evaluation," Proceedings of International Conference, FRPRCS-3, Sapporo, Japan, October 1997. 19. Naaman, A.E., "High performance fiber reinforced cement composites: distinctive attributes for repair and rehabilitation," Proceedings of International Conference on Structural Failure ICSF-5, National University of Singapore, Nov. 1997; 11 pages. 20. Naaman, A.E., "Ferrocement: a High Performance Cementitious Third International Composite Laminate," Proceedings of the Conference on Analytical Models and New Concepts in Mechanics of Concrete Structures, Wroclaw, Poland, June 1999, pp. 199-206. 21. Naaman, A.E., "FRP Reinforcements in Concrete Structures: Design Issues, Potential Solutions, Realistic Applicability," Proceedings of the Second Middle East Symposium on Structural Composites for Infrastructure Applications, A.H. Hosni, I. Mahfouz and S. Sarkarni, Editors, April 1999, pp. 99-118.
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zy zyxwv zyxw FRP Reinforcements in Structural Concrete 23
22. Naaman, A.E., and Chandrangsu, K., “Bending Behavior of Laminated Cementitious Composites Reinforced with FRP Meshes,” ACI Symposium on High Perfonnance Fiber-Reinforced Concrete Thin Sheet Products, Edited by A. Peled, S.P. Shah and N. Banthia, American Concrete Institute, Farmington Hills, ACI SP 190, 2000, pp. 97-1 16. 23. Naaman, A.E., Park, S.Y., Lopez, M.M., and Till, R., Parameters Influencing the Flexural Response of RC Beams Strengthened using CFRP Sheets, Proceedings of FRPRC 5, C. Burgoyne, Editor, University of Cambridge, U.K., July 2001. pp. 117, 125. 24. Naaman, A.E., “Ferrocement and Laminated Cementitious Composites,” Techno Press 3000, ISBN 0-9674030-0-0, Ann Arbor, Michigan, 2000, 372 pages. 25. Park, S.Y., and Naaman, A.E., “Failure Criteria for CFRP Tendons Subjected to Tensile and Shear Forces,” Proceedings of 2nd International Conference on Composites in Infrastructure (ICCI 98), H. Saadatmanesh and M.R. Ehsani, Editors, January 1998, University of Arizona, Vol. 2, pp. 188-202. 26. Park, S.Y., and Naaman, A.E., “Dowel Behavior of Tensioned FRP Tendons,“ ACI Structural Journal, Vol 96, No. 5, September-October 1999, pp. 700-806. 27. Park, S.Y., and Naaman, A.E., “Shear Behavior of Concrete Beams Prestressed with FRP Tendons,” PCI Journal, Vol. 44, No. 1, Jan.-Feb. 1999, pp 74-85. 28. Park, S.Y., Naaman, A.E., Lopez, M.M., and Till, R.D., “Shear Strengthening of R.C. Beams Using Glued CFRP Laminates,” Proceedings FRP Composites in Civil Engineering, Vol. 1, J.-G. Teng, Editor, Elsevier Science Ltd., Dec. 2001, pp. 669-676. 29. Plecknik, J., et al., “Temperature Effects on Epoxy Adhesives,” Journal of Structural Engineering, Vol. 106, No. 1, ASCE, Reston, Virginia, 1986, pp. 99-1 13. 30. Saafi, M., “FRP Composites of Construction and the Fire Issue: Preliminary Laboratory Results,” 2nd International Conference on Durability of Fiber Reinforced Polymer (FRP) f o r Construction, Montreal, Canada, 2002. 31. Saafi, M., “Design of FRP Reinforced Concrete Structures under Fire Conditions,” CICE International Conference on FRP Composites in Civil Engineering, Kowloon, Hong Kong, December 2001.
24 FRPRCS-6: Keynote Paper
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32. Sen, R., Shahawy, M., Mullins, G., and Spain, J. (1999). “Durability of CFRPKoncrete Epoxy Bond in a Marine Environment,” ACZ Structural Journal, Vol. 96, No. 6, pp. 906-914. 33. Taerwe, L., (Editor), “Non-Metallic (FRP) Reinforcement for Concrete Structures,” 2nd International Symposium, Ghent, Belgium, RILEM Proceedings 29, E & FN Spon, 1995, London. 34. Tanano, H., et al., “Tensile Properties at High Temperatures of Continuous Fiber Bars and Deflections of Continuous Fiber Reinforced Concrete Beams under High Temperature Loading,” in Non-Metallic (FRP) Reinforcement for Concrete Structures, Japan Concrete Institute, Vol. 2, 1997, pp. 43-50. 35. Zureick, A. and L. Kahn (2001) “Rehabilitation of Reinforced Concrete Structures Using, Fiber-Reinforced Polymer Composites,“ ASM Handbook, Volume 21: Composites, pp. 906-913.
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FRPRCS-6, Singapore, 8-1 0 July 2003 Edited by Gang Hwee Tan QWorld Scientific Publishing Company
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PROGRESS AND PROSPECTS OF FRP REINFORCEMENTS: SURVEY OF EXPERT OPINIONS A.E. NAAMAN
Department of Civil and Environmental Engineering University of Michigan, Ann Arbor, 48109-2125, USA
This paper summarizes the opinion survey of a number of international experts in the field of FRP reinforcements carried out in response to the following questions: (1) Given the past 15 years of research, evaluation, and applications, what is your assessment of the current state of progress? Are we in an impasse? ( 2 ) Given the technical concerns posed during the initial development phase (ductility, poor transverse resistance, durability, stress-rupture, prestressing hardware, fire resistance, cost etc.), was any "leap-frog progress" made? If yes, what were the main elements? If not, why not? What are the main catalysts or obstacles? (3) What are the prospects for FRP reinforcements in near future applications in civil infrastructure systems? Do you expect major increases in applications? Give possible examples?
INTRODUCTION The author carried out a limited survey of opinions on the use of FRP reinforcements in structural concrete, reinforced and/or prestressed. Specifically the survey excluded the use of externally bonded sheets for repair and strengthening; it addressed only the use of FRP reinforcements as replacement of steel reinforcing bars or prestressing tendons in new structures. The opinion of a number of international experts was sought. Their responses are summarized below. It is important to realize that each bullet represents an opinion from a different person or group of persons. Some editing was used for uniformity. Very similar opinions were not repeated. However, care was taken to keep the information as clear and as close as possible to its original form. Not all persons contacted responded to the survey. Those who responded are listed in acknowledgments. The experts in the survey were selected to represent different continents and viewpoints. Special effort was made to preserve anonymity of the respondants. The opinions received cover the entire spectrum, from what could be described as optimistic to rather conservative, careful, risk averse, and pessimistic. It is hoped that the reader will have the opportunity to examine the information gathered and use it to better formulate hisher own opinion.
26 FRPRCS-6: Keynote Paper
SURVEY RESULTS
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Question 1: Given the past 15 years of research, evaluation and applications, what is your assessment of the current state of progress? Are we in an impasse? Current State of Progress
Examples of opinions received include:
Since ACI 440.1R-01 came out one year ago, the number of commercial application is increased in the RC arena, while some work - especially in R&D - needs to be undertaken in PC type of applications. Major areas of interest regard bridge decks reinforcement, slabs on ground, and tunnel boring machine applications.
Considerable progress has been made in developing FRP rebars (glass and carbon fiber) for reinforcing slabs (considering no viable bar existed in the mid 80s). Less progress has been made on beams where shear capacity and FRP stirrup design remain a problem. No progress on FRP reinforced axial members (columns) was made. Perhaps there is no need for that. ACI design guide exists. Since the application of performance-based design is not ripe in structural engineering, the use of FRP reinforcements did not progress significantly. Moreover, a number of research issues on FRP applications need to be resolved to meet various technical and societal requirements. Some progress has been made in improving the durability of FRP rebars (particularly with glass fiber reinforcement). More work is needed on development of higher temperature and moisture resistant resin systems. Progress has been made on developing material specifications for FRP rebars. The use of FRP grids as reinforcement has been unfortunately neglected in the US - - and perhaps has the greatest potential for success. Considerable progress has been made in developing FRP tendons with carbon fibers. While there are some applications in beams, the use of FRF' post-tensioning in slabs appears to have the best potential, especially in bridge decks where craclung is a perennial problem.
Progress and Prospects of FRP Reinforcements 27
The state of the work is quite good and getting better. It is primarily economic limits that keep the technology in check. FRP repair is going great even with incomplete science because the economics work.
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There has been significant progress at the research level. During the past decade, we have witnessed exponential growth in research and field demonstrations of FRP composites in civil engineering applications. In the United States, the growth was fueled by financial support from the National Science Foundation, the National Institute of Standards and Technology, the Federal Highway Administration, the National Cooperative Highway Research Program, the Department of Defense Advanced Research Projects Administration-Technology Reinvestment Project (DARPA-TRP), and state funding agencies. Since the late 199Os, deployment of FRP composites in highway bridges has increased considerably due to funding through the Transportation Equity Act-21 / Innovative Bridge Construction Program. 0
At least one researcher at almost every university in the US is involved in research on FRP materials; a field application of FRP materials in bridges has taken place in practically every state in the US.
Besides external prestressing, the application of FRP reinforcement (rods, tendons, grids) have been rather limited to special cases where the low unit weight, "non-corrosive" nature (in comparison to steel reinforcement), and non-magnetic properties, are being capitalized on. These include use in shaft walls so that the penetration and introduction of tunneling shield machines could be easily carried out, guideways for magnetic levitation systems, special facilities housing medical and sensitive equipment for which steel reinforcement would pose interference, and in seafront structures where the aggressive environment is adverse for steel reinforcement.
Generally spealung the fundamental properties of RC and PC structural members using FRP reinforcements are clear. The advantages of FRPs in comparison to steel rebars are also clear as well as their disadvantages such as cost, difficulty of handling in PC applications, and difficulties related to bent stirrups. While FRP reinforcements are used in special structures such as buildings for high-energy accelerators, there is concern about their heat resistance and their performance under fire.
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The progress in FRP rods and tendons have in the last 5 to 7 years, definitely slowed down compared to FRP sheets. It can simply be
28 FRPRCS-6: Keynote Paper
observed from the number of publications in each field. We have to think of how to overcome the technical deficiencies of FRF’ materials to make them more attractive. However, as a first step, if the various codes for FW-reinforced concrete could be simplified and unified for general applications, and if the cost of F W reinforcements brought down, we may be able to see more applications.
To some degree, there has been progress. I think that the introduction of design guides will help in the short-term, but I also feel that the design guides will need to be substantially rewritten in coming years to ensure that efficient use is made of FRP materials, rather then mere “use”, to offset the undoubtedly higher short-term costs. FRP should not be seen as a direct replacement for steel, but rather as a material in its own right. Demonstration projects are still required, but there needs to be one BIG one. An analogy here could be Ironbridge, built in 1779 in Shropshire, UK, as a demonstration by the local iron mill that iron could be used to build bridges. Had they built a mere 20 ft span, no-one would have flinched, but they built an impressively large bridge, and the use of iron started. Equally, in the construction of the Millennium Dome in London in 1999, site welding was used on the main towers, something that academics would (at the time) usually discourage from attempting. This large-scale demonstration has helped to bring site welding back into the limelight. Therefore, the use of FRF’ reinforcements for concrete requires one large bridge or building, which could be seen as a focal point for its more widespread use. How such a project would arise is a much more difficult question.
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There have been literally hundreds of research studies, many practical guidelines (JCI, ACI, FIB, etc ...) accompanied by a lot of “fanfare” to encourage the use of FRP reinforcements, but the main issues remain same: ductility, shear resistance, bend-ability, fire resistance and most importantly cost. As long as the alternative “steel” provides better competitive solution in each of the above, it is not clear when and where FRP reinforcements will become equally competitive, except perhaps in structures built in space where weight is paramount.
A serious problem for FRP applications is acceptability at the professional-consultancy level. Many traditional steel-reinforced or prestressed concrete researchers and designers look at FRP-reinforced concrete researchers, consultants, or experts, as having “jumped on the bandwagon,” with little or no real grasp of some fundamental issues in structural engineering, but with the goal of attracting research funding
Progress and Prospects of FRP Reinforcements 29
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easily, or selling the material. They look at FRP research as slightly inferior, and untrustworthy to some extent. This might be a real obstacle to the use of FRP materials in reputable large consultancies. Are we at an Impasse?
We are not at an impasse. Progress is substantial. Innovation takes time. While there have been some inappropriate uses of FRP prototype materials there are also many applications that show a convincing trend toward future acceptance for specific applications.
In a way we are at an impasse. With extensive research baclung, and guidelines available, where are the projects and where are the plans for future large-scale projects? Compare to the beginning of steel, or reinforced concrete; and that was more than a century ago. Today the pace should be exponential. But where are the planned applications? I would rather be at the beginning of reinforced or prestressed concrete. We are indeed in an impasse despite the numerous, sometimes ambitious, test programs worldwide. The major obstacles are the high material cost and some particular technical problems which can be summarized as follows: a) Reinforced concrete Most applications seem to focus on GFRP (glass FRP). However, how to explain that we put glass in an alkaline hostile environment as a solution to the corrosion problem of steel? This is a contradictory situation. Even AR-glass is subject to long-term deterioration. GFRP is used because of cost reasons, compared to CFRP (carbon FRP) and AFRP (aramid FRP). However, the design of flexural members is governed by serviceability conditions which implies the need to provide a sufficient cross section of reinforcement in ordcr to increase flexural stiffness and reduce crack width. This additionally increases the cost. FRP stirrups are a serious practical obstacle in practice: 1) They need to be pre-shaped and cannot be bent at the site 2) There is significant strength reduction in the bends. Suggesting to use longitudinal FRP reinforcement and steel stirrups is inconsistent. b) Prestressed concrete Stress-rupture limits the efficient use of GFRP in prestressing. When CFRP and AFRP are used in RC applications, these high-strength
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30 FRPRCS-6: Keynote Paper
materials are not fully utilized. Hence there is benefit in using them in prestressed concrete. However, here arises the problem of reliable, cost effective anchorages. For pre-tensioning, requirements are less severe than for post-tensioning. In the first case individual wires, strands or strips need to be anchored temporarily at a smaller capacity than for big cables. Some of the special anchorages developed so far are complicated to use and not applicable to efficient day-to-day practice. This is true for pretensioning as well as post-tensioning, where in comparison, large steel cables are commonly tensioned. Another problem with CFRP tendons is the inherent brittleness which requires severe precautions during handling and tensioning. Regarding AFRP, problems arise with high relaxation (up to 20% in wet conditions), sensitivity to moisture, and high transverse thermal expansion. Relatively limited progress has been made.
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Yes indeed we are at an impasse. Given the tremendous effort (technical and promotional) that introduced FRP reinforcements to the professional community (through research and research centers, symposia, educational materials, practical guidelines, technical journals and newsletters) today's applications of the technology should be widespread; but it is not. While we understand better the technical issues, the solutions so far provided are not sufficiently attractive to make FRP reinforcements competitive in both the short and long-term. Unless the cost of the most promising FRP materials (that are carbon based composites) diminishes significantly, we can practically do with stainless steel reinforcements all that can be done with FRP reinforcements, except for making them as lightweight. And with steel, we have a long-term proven experience.
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Question 2: Given the technical concerns posed during the initial development phase (ductility, poor transverse resistance, durability, stressrupture, prestressing hardware, fire resistance, cost etc...) was any "leapfrog progress" made? Zfyes, what were the main elements? If not, why not? What are the main catalysts or obstacles? Examples of opinions received include: The issues of ductility, crack control, cost etc. is hard to deal with in FRP-reinforced concrete. I believe that the whole concept of "hiding"
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FRP reinforcements inside concrete is problematic, until long-term performance has been demonstrated. 0
Many technical issues related to the use of Flip composites have been addressed in the ACI 440 guidelines. Still, more needs to be learned, and more experience in the field is needed before unresolved concerns can be treated with the familiarity used in steel reinforcement design.
In prestressed concrete, the issue is much more that of economics. The cost of carbon FRP strand is still 3 to 6 times that of steel strand, and steel works very well with little problems. The few bridges built with FRP reinforcements (for demonstration or trial) were so inefficient that they did not make a breakthrough.
There was significant progress. In prestressed concrete (including external prestressing) the use of FRP reinforcements enhances durability under severe environmental conditions. New hardware for prestressing was developed. 0
0
No leap-frog progress was achieved so far. The advantages of FRP reinforcements were not demonstrated convincingly. Cost should be correlated with the level of performance for FRP applications; however, their long-term performance level cannot be evaluated yet. Progress will depend on the assessment of life-cycle cost. Progress with FRP reinforcements should be characterized as evolutionary (not leap-frog), which is not bad. I do not see any major obstacles to continue the evolutionary development. The largest obstacle appears to be the low glass transition temperature of the polymer resin systems currently in use (around 100 "C) and also the poor fire resistance of the materials (however, this issue is most often not addressed by structural engineers directly, even with conventional materials.) The main catalyst for continuing progress is the search for more durable and predictable construction materials that are exposed to severe environmental conditions, therefore malung applications in highway structures much more attractive than in conventional building structures.
32 FRPRCS-6: Keynote Paper
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Research in the area of FRP reinforcement has been extensive over the past 15 years and has advanced the state of the art considerably. A testament to that are the codes and/or proposed guidelines that have been published in Japan, Canada, Europe, and the US. However, we still have a long way to go. The primary impediment to the deployment of FRP reinforcements is "cost". FRP reinforcements have been used in a number of bridges, and the main reason was because these were either experimental, or demonstration, or showcase projects. It would have been very difficult, even impossible, to justify their use based on cost. With the exception of limited special applications, such as in nonmagnetic or highly corrosive environments, the use of FRP reinforcements has been limited. 0
Progress has been made over the years on the issues mentioned, but it is not clear if they could be considered "leap-frog progress." Some of the durability tests, for example, may not be useful for design purposes. Many engineers are still unfamiliar with FRP rods and tendons. Further education of the industry and the profession on FRP materials is definitely needed.
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There has been leap-frog progress in terms of ductility, by loolung to the concrete, rather than the reinforcement. In the other areas listed, some progress has been made (certainly in durability and fire resistance), but it cannot be considered "leap-frog.''
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The next true leap-frog advancement must be in terms of how we use FRP materials. There is need to write a guide (at the international level and for an international audience) which addresses issues about how BEST to use FW materials in concrete. It could be spearheaded for instance by some of the people responding to this survey and started following FWRC6. It would show designers the versatility of FRP reinforcements and this would be beneficial in terms of providing a more credible, widespread confidence in FRF'. I don't see any major break-through for RC and PC applications, which happened during the last decade, despite the very extensive research efforts.
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Progress and Prospects of FRP Reinforcements 33
Question 3: What are the prospects for FRP reinforcements in near future applications in civil infrastructure systems? Do you expect major increases in applications? Give possible examples? Examples of opinions received include:
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I do not expect major increases in applications.
Major increases in FRP applications are expected in the future, primarily due to the increased knowledge and confidence that engineers and designers will develop for this new technology. With the exclusion of columns reinforcement, where FRP reinforcements should not be used, every other structural component (slabs, beams, bridge decks) could be designed using FRP composites as main reinforcement. In highway applications (particularly in bridge decks) the future appears to be promising both for FRP rebars (glass or carbon) and FRP tendons due to the high cost of bridge deck maintenance. Otherwise only specialized applications that require exceptional durability (wastewater etc.) and electromagnetic transparency (MRIs) appear to have any rationale.
Repair and rehabilitation will remain the top contender application. The field of precast building systems may offer an entirely new technology.
FRP reinforcements will see growth in structures where the primary design considerations are corrosion, magnetic interference, and other special considerations. Durability, damage control, and long life are requirements for environmental sustainability. Examples of applications include long lasting skeletons (structural subsystem) of buildings where the remaining subsystems are changeable with time. The elasticity of FRP reinforcements leads to reduced residual deflections in seismic structures. Their non-magnetic properties will remain a key advantage in certain applications. FRP reinforcements will be mostly used in special structures, or in structures under severe environmental conditions (such as coastal bridges exposed to chlorides). They will be used if the client demands it, or if a policy is set by an agency to use them. However, their relatively high cost will limit their use. Moreover, construction
34 FRPRCS-6: Keynote Paper
companies do not care about using FRP reinforcements since they do not reap the benefits; while manufacturers of FRPs do. Further applications of FRP reinforcements in civil infrastructure systems are possible. This requires the combined efforts of researchers, educators, code writers and professional organizations. In the research arena, in particular, we need to think beyond the usual boundaries. For example: a) Is it not practical to replace partially corroded steel reinforcement with FRP reinforcement or add FRP reinforcement to existing steel reinforcement in concrete structures? In this manner, we achieve a "hybrid reinforcement", and by doing so, could we not improve the ductility of the member? (b) Can FRP rods and tendons be made sufficiently flexible so that they could be bent by hand or simple mechanical tools to form stirrups and the like on site? Can we develop a special thermoplastic that would allow such bending to be done, for example, using a "hot-press"? (c) Can we utilize FRP reinforcements as "smart materials" for structural monitoring?
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I do not know of a single near-future application of any sort, although I do know of a very recent one ...(that did not go as desired) .... I think this boils down once again to lack of confidence in the product, for whatever myriad of reasons particular designers have.
I do not foresee a major increase in the use of FRP until its use is first shown to be cost-effective in the SHORT term. It does us no good to point out the long-term cost savings (with no performance records to prove it). Clients are not interested in this. We need to cut down the initial cost, which is done by using the material in novel ways. One immediate issue I can think of is bends in FRP bars. There is absolutely no logical reason why we have bends. They cost a fortune to manufacture, they are unalterable and they are not needed if a helix is placed around the bar in the anchorage location; this anchors the bar just as well, but it is not mentioned in FRP design guides. Nor is any serious attempt made to mention ductility injection into concrete through helical confinement or short fibers, which would lead to redistribution of moments being possible and full use of compression reinforcement. The rational use of FRP is a research priority, in my opinion, and through such rational use we will create a product, which is CHEAPER than steel-reinforced concrete, even in the short term. At that stage, expect an explosion in use.
I predict almost no progress in practical applications in the near future except if the material cost could be substantially reduced, which seems
Progress and Prospects of FRP Reinforcements 35
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unlikely. Applications will remain limited to small-scale demonstration projects. Exceptions are concrete elements in very aggressive chemical environment and requirements for electromagnetic neutrality (rooms for specific electronic equipment).
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For reinforcement of QUEEN CONCRETE, in the form of wires, reinforcing bars or prestressing strands, STEEL, conventional or stainless, is still KJNG of the hill.
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CONCLUSIONS It is clear from the above questions and answers that in spite of the extensive research so far carried out worldwide on the use of FRP reinforcements in concrete structures, there is a relative “malaise” about their use and future success. It is also clear that at time of this writing, a number of international experts do not see “leap-frog’’ advances and exponential progress in applications. Similarly to many physical phenomena described by an inverted S curve, there has been a rapid initial development in FRP reinforcements, followed by a slow steady progress and, at time of this writing, we seem to be in that steady progress phase; however, it is not clear if what lies ahead is going to be continuing slow steady progress, or exponentially increasing progress, or fall in disgrace and forgetfulness phase. The curves of Fig. 1 illustrates our current position. Predicting the future at this time is more challenging than a “wait and see” approach.
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Figure 1 Schematic illustration of progress for use of FRP reinforcements in concrete structures
36 FRPRCS-6: Keynote Paper
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ACKNOWLEDGMENTS A number of experts were asked to respond to the questions of the survey described in this paper. Those who responded on time are listed next. The author is grateful for their cooperation and their candid answers. They are: Lawrence Bank, University of Wisconsin, Madison, USA; Charles Dolan, University of Wyoming, Laramie, USA; Hiroshi Fukuyama, Building Research Institute, Tsukuba, Japan; Issam E. Harik, University of Kentucky, Lexington, USA; Tim bell, University of Bath, UK; Ayman Mosallam, California State University, Fullerton, USA; firoshi Mutsuyoshi, Saitama University, Japan; Antoine E. Naaman, University of Michigan, Ann Arbor, USA; Antonio Nanni, University of Missouri, Rolla, USA; Ferdinand. Rostazy, Technical University of Braunschweig, Germany; Luc Taerwe, University of Ghent, Belgium; Kiang Hwee Tan, National University of Singapore, Singapore; Thanasis Triantafilou, University of Patras, Greece.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan OWorld Scientific Publishing Company
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DURABILITY DESIGN OF GFRP RODS FOR CONCRETE REINFORCEMENT T. UOMOTO International Center for Urban Safety Engineering, Institute of Industrial Science, University of Tokyo 4-6-IKomaba, Meguro, Tokyo, Japan
To deal with the corrosion of reinforcing steel in concrete, FRP has been used throughout the world. They do not corrode even in chloride environments by sea water and deicing salt. Considering the durability of the material, FRP will become a major reinforcing material for concrete in highly corrosive environment. One of the problems of FRP is that some of the FRP rods and sheets deteriorate due to other causes such as alkali attack, acid attack, ultraviolet ray attack, etc. Among them, alkali attack to glass fibers and GFRP is the largest problem. It is difficult to apply the material as internal reinforcement of concrete. To deal with the problem, many attempts are performed. This paper explains how to deal with the problem to produce high alkali resistant GFRP using durability design.
INTRODUCTION
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Concrete structures throughout the world have been deteriorated severely due to chloride induced steel corrosion. To deal with the problem, many attempts were performed, such as to use galvanized steel bars, epoxy-coated bars, catholic protection, etc. Among these attempts, FRP was evaluated as one of the best methods to deal with the problem because FRP does not corrode even in chloride environment. As mentioned by JSCE research committee I), many researches were performed mostly in Japan, North America and Europe to utilize FRP as concrete reinforcement since 1980's. In Japan, a large amount of FRP has been applied to reinforced concrete structures not only to new structures but also to existing structures using recommendations by JSCE *, 3), etc. The types of FRP commonly being used are rods embedded in concrete for new structures and sheets applied to the surfaces of existing structures.
38 FRPRCS-6: Keynote Paper
Concrete structures are normally used for more than 50 to 100 years, and the reinforcements must be also durable enough to reinforce the concrete for the same period of time. Although FRP does not corrode in chloride environment, we have already clarified that FRP deteriorates in other environments such as high concentration of alkali and acid, ultra-violet rays from sunlight, etc. To deal with the problem, care must be taken how to use FRP materials as reinforcements for concrete structures4). One method is to use high durable material such as CFRP as concrete reinforcement. Another method is to change the properties of the existing FRP so that it may not deteriorate easily in these environments. Considering these conditions, this paper is written to explain briefly through our works in IIS, the cause of FRP deterioration and basic concept to deal with these problems. In this paper, explanation is given on FRP rods using carbon fibers, Aramid fibers and glass fibers.
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MAIN CAUSES OF FRP DETERIORATION
FRP is a composite material, composed of millions of fibers and resin. The diameters of fibers are in the range of 6 (carbon fibers) to 15 microns (Aramid fibers and glass fibers). As shown in Figure 1, when tensile load is applied to FRP, fibers carry load and resin transfers stress to the neighboring fibers. The resin can also protect fibers from ingress of harmful ions from their environment. In this paper, carbon fiber reinforced plastics, Aramid fiber reinforced plastics and glass fiber reinforced plastics are abbreviated as CFRP, AFRP and GFRP. Deterioration of both fibers and resin, and also the transition zone between fibers and resin govern the durability of FRP. This makes the deterioration mechanism of FRP complicated compared to steel. As most of the mechanical properties are governed by fibers*), if the fibers are not deteriorated, FRP can resist against load in most cases. But when resin is attacked and deteriorated, the fibers fall off from the surface and FRP reduces strength (See Figure 2).
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Durability Design of GFRP Rods 39
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Figure 2 Deteriaration of GFRP due to alkali attack
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40 FRPRCS-6: Keynote Paper
Considering the properties and usage of FRP, important items on deterioration to be considered are listed below. Items 1) to 3) are for reinforcements embedded in concrete (rods), and items 4) to 6) are for surface reinforcements (mainly sheets). 1) Static fatigue fracture 2) Fatigue fracture6") 3) Alkali resistance7) 4) Acidic resistan~e'~) 5 ) Ultra-violet ray resistance") 6) Freeze-thaw resistance STRENGTH OF FIBERS AND FRP AFTER DETERIORATION
Table 4 is obtained from the previous research works of IIS, University of Tokyo12. 14, 15) using the material mentioned in Tables 1, 2 and 3. Again, the first 3 items are related to reinforcements embedded in concrete, and the remaining 3 items are related to external reinforcement applied to the surface of existing concrete structures. The items, such as static fatigue, cyclic fatigue and alkali resistance are the 3 important items to be considered in case of FRP rods. As shown in the table, CFRP rods have little problem in the aspect of durability. In the case of GFRP, rods reduce their strength tremendously in all the cases. This is caused mainly by the deterioration of glass fibers. In the case of AFRP, although alkali resistance and cyclic fatigue properties are good, care must be taken on static fatigue strength. This is caused by the creep rupture of Aramid fibers. The items, such as acidic resistance, ultra-violet ray resistance and freeze-thaw resistance are the 3 important items to be considered in case of external reinforcement, such as out cables or sheet reinforcements. As shown in the table, carbon fibers and glass fibers have no special problem on durability except ultra-violet ray resistance. The resin deteriorates from the surface under ultra-violet rays and this causes the deterioration of CFRP and GFRP. In any of the cases, measures must be taken to prevent resin from the deterioration or to replace FRP before deterioration exceeds a certain limit. In case of Aramid fibers, the fiber itself deteriorates by ultraviolet rays and high concentrated acid, especially in case of Kevler 49. To deal with the problem, measures must be taken to prevent the deterioration from sunlight and acidic water or to replace FRP before deterioration exceeds a certain limit.
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Durability Design of GFRP Rods 41
Table 1 Properties of fibers (monofilament ) f
ble 1 Properties o ble 1 Properties o ble ble 11 Properties Properties oo
Ta
Ta
Ta Ta
Table 2 Properties of resins for FRP
I
I
I Tensile Strength
Type Average S.D.
I
I I
Ripoxy-RSO2 84.9 1.15
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Ripoxy-H6001 67.00 4.96
Table Table 1 Properties 1 Properties of fibers of fibers (monofilament (monofilament )f )f .
I
Elastic Modulus (MPa) Maximum Strain
(%) Notes
I
Average S.D. c . of v. Average S.D. c . of v.
3110 37 0.0 1 5.22 0.1 1 0.02 AFRP,GFRP
I
4000 39 0.01 1.95 0.27 0.14 CFRP
Table 1 Properties of fibers (monofilament ) f GFRP CFRP Type AFRP Tensile 1340 1690 1690 Average Strength Table 1 Properties of fibers (monofilament ) c . of v. of fibers (monofilament 0.0836 Table 1 Properties )f Elastic Average 45.70 52.1 1 135.30 Modulus 1.946 0.476 Table 1 Properties of fibers (monofilament ) f 23.63 c . of v. of fibers (monofilament 0.0175 Table 1 Properties )f
f
42 FRPRCS-6: Keynote Paper
Table
Durability of fibers and FRP (Strength ratio)14) I Fiber Carbon Glass Notes Aramid 1
Static Fatigue Cyclic Fatigue Alkali Resistance
95%
Acidic Resistance
100%
Ultra-Violet Ray lesistance Freeze-Thaw kesistance
100%
~~
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60-85?’0*
45%
15%
NaOH, 40 OC, 1OOOhr 100% HCI, 40 OC, 120 days 81% 0.2MJ/m2/hr, 1 OOOhr ~
:RP Rod
Static Fatigue
CFRP 91%
Cyclic Fatigue
85%
Alkali Resistance
100%
AFRP 46%
GFRP 30%
70%
23%
98%
29%
Notes 20°C, 100 years (Cal.) lOOMpa Amp., 2 million cycles NaOH, 120days, 40 OC
Acidic Resistance 69% 77% 90% 3 years exposure Ultra-Violet Ray Lesistance 100% Freeze-Thaw Table 1100% Properties of fibers (monofilament ) f Lesistance Table 1 Properties of fibers (monofilament ) f (Note) * In case of Technola is 85% and Kevlar 49 is 60%.
From these results, the following can be concluded as written in the previous paper by the author “Durability of FRP as Reinforcement for Concrete Structures” (ACMBS-3, 2000) 14), excluding the problems of fire and surface defects due to knives, etc: 1) We do not have to consider much about the durability of carbon fibers and CFRP used as internal and/or external reinforcement, except the deterioration of resins caused by ultra-violet rays. 2) In case of Aramid fiber and AFRE’, they have good durability properties except static fatigue, ultra-violet rays and acidic attack. When used as internal reinforcement, care has to be taken on static fatigue properties. Limitation of tensile stress is needed according to the duration time. When used as external reinforcement, not only the sustained load but also deterioration due to ultra-violet rays and acidic environment must be considered.
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Durability Design of GFRP Rods 43
3) Glass fiber and GFRP have poor durability except acidic resistance and freeze-thaw resistance. GFRP is not recommendable for internal reinforcements. When glass fiber or GFRP is used as external reinforcements, care must be taken of the deterioration due to sustained load, fatigue load, alkali resistance and ultra-violet rays. DEVELOPMENT OF NEW GFRP TO INCREASE DURABILITY As explained above, it is difficult to use glass fibers of GFRP as internal reinforcement of concrete structures. To deal with the problem the following ideas may be used: 1) Develop new alkali-resistant glass fibers to reduce the effect of alkali attack from concrete. 2) Develop new GFRP to reduce the attack of alkali from surface of FRP. In the case of l), I hope the producers of glass fibers would challenge the work. Up till now I do not hear any good news on success in producing these fibers. In the case of 2), several attempts have been made in Japan, obtaining some good results. Here in this paper, two cases on development of new GFRP are explained.
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Development of Hybrid AGFRP Rod
As shown in Table 5 and Figure 3, new Hybrid AGFRP rods are developed". They are composed of both E-glass fibers and Aramid (Technora) fibers. Aramid fibers are placed at the surface portion of the rods and glass fibers at the center. As shown in the table, the volume content of fibers are fixed to about 66%, changing the amount of Aramid fibers from 19% to 30% and glass fibers from 48% to 36%.
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ble 1 Properties o ble 1 Properties o ble 1 Properties oI I ble 1 Properties I I I oI
Ta Ta
Tabolume fraction of E-Glass fiber
Vf (%)
1Total volume fraction of fibers
IThickness of outer layer (Aramid)
Ta ITensile strength of rod
I
(mm)
(Nlmm')
36.3
66.8
Vf (%)
I
0.79
14.18
I 1 I
42.4
65.8
0.59
13.83
I I I
48.4
I
67.5 0.46
13.49
I
44 FRPRCS-6: Keynote Paper
Figure 3 AGFRP rods with Aramid fibers and glass fibers (Nishimura T.)")
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Figure 4 shows the retaining ratios of tensile strength after immersion in alkaline solution (NaOH:lmol/l, 40degrees) for up to 120 days. As can be seen from the figure, original GFRP has lost their strength to 30% at the age of 90 days, but these hybrid AGFRP rods possess more than 80% of the initial tensile strength at the age of 120 days. Figure 5 shows that AGFRP-7 (Aramid fiber content:23.4%, glass fiber content:42.4%) has improved resistance against alkaline solution drastically compared to other FRP rods. This is caused by the resistance of the rod against alkali at the surfaces. Measured result of Na shown in Figure 6 gives the information that Na ion does not penetrate into the rod compared to GFRP rods.
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0. 9
0. 3
0
50 100 Immersion time (days)
150
Figure 4 Retention ratio of tensile strength of AGFRP (Nishimura T.)")
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Durability Design of GFRP Rods 45
12 1
02 0 0
50
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100 I n m ersbn tin e (days)
150
Figure 5 Retention ratio of tensile strength of FRP (Nishimura T.)") zyxwvutsrqponmlkjihgfedcbaZYXWVU
Figure 6 Na distribution within AGFRP rod after immersion to alkaline solution (Nishimura T.)
46 FRPRCS-6: Keynote Paper
New GFRP rod with Surface Treatment
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Figure 7 shows the deteriorated portion of glass fibers in GFRP when immersed in alkaline solution". The photograph shows that the glass fibers are deteriorated from the interfaces between fibers and resin. To obtain the distribution of Na ions in the cross section, EPMA was used to the same specimen. Figure 8 shows the results obtained by Katsuki'. As shown in the figure, high concentration of Na is observed at the boundary between fibers and resin. These two results show that GFRP is attacked by the Na ions from the boundary of fibers. From these observations, one good method to improve the resistance against alkali is to form good interface between fibers and resin so that alkali can not penetrate into GFRP from outside. To prove this idea, some tests have been done to improve the gap between fibers and resin. Figure 9 shows the validity of the method. As shown in the figure, GFRP has improved resistance against alkali to high extent. Although other properties are still under tests, this method may become a good solution to obtain durable GFRP rods and sheets to reinforce concrete structures as in the case of CFRP and AFRP.
Figure 7 SEM photograph showing deterioration of glass fibers in GFRP rod (Katsuki F.)')
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Durability Design of GFRP Rods 47
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Figure 8 Distribution of Na ions in GFRP by EPMA (Katsuki F.)') 1 0.9
0.4
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0.3
0
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30
90
120
Immersion time (days)
Figure 9 Retention ratio of tensile strength of FRP (Sugiyama M . ) ' ~ )
CONCLUSIONS The following conclusions can be drawn: (1) Tensile strength of FRF' rods can be used to evaluate the durability of FRP rods in different conditions.
48 FRPRCS -6: Keynote Paper
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(2) Durability of carbon fibers and CFRP used as internal andor external reinforcement is good, except the deterioration of resins caused by ultraviolet rays. (3) In the case of Aramid fiber and AFRP, they have good durability properties except static fatigue, ultra-violet rays and acidic attack. When used as internal reinforcement, care has to be taken of the static fatigue properties. Limitation of tensile stress is needed according to the duration time. When used as external reinforcement, not only the sustained load but also deterioration due to ultra-violet rays and acidic environment must be considered. (4) Commercially available glass fiber and GFRP have poor durability except acidic resistance and freeze-thaw resistance. They are not recommendable for internal reinforcements. When glass fiber or GFRP is used as external reinforcements, care must be taken to the deterioration due to sustained load, fatigue load, alkali resistance and ultra-violet rays. (5) Durable GFRP against alkali solution can be obtained by changing their composition, such as to combine glass fibers with Aramid fibers when producing FRP. A new AGFRP has improved the durability to a very high extent. (6) Interface between glass fiber and resin governs the resistance of GFRP against alkali. The improvement of the interface is effective to increase the alkali resistance of GFRP to high extent.
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ACKNOWLEDGEMENTS
The author would like to thank Mr. Tsugio Nishimura (IIS, University of Tokyo), Dr. Futoshi Katsuki (Shibaura Institute of Technology) and Mr. Matoyoshi Sugiyama (Nippon Electric Glass Co. Ltd) for granting the permission to use their data in this paper. REFERENCES
JSCE Research Committee on CFRM( 1993), “State-of-the-Art Report on Continuous Fiber Reinforcing Materials”, Concrete Engineering Series 3, JSCE 2. JSCE Research Committee on CFRM( 1997), “Recommendation for Design and Construction of JSCE Concrete Structures Using 1.
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Durability Design of GFRP Rods 49
Continuous Fiber Reinforcing Materials”, Concrete Engineering Series 23, JSCE
3.
4.
5.
6.
7.
zyx zyxwvut JSCE Research Committee on Upgrading of Concrete Structures with Use of CFS(200 l), “Recommendations for Upgrading of Concrete Structures with Use of Continuous Fiber Sheets”, Concrete Engineering Series 4 1, JSCE
Kobayashi, K., Uomoto, T. and Cho, R (1988), “ Prestressed Concrete Structure using FRP Tendons (in Japanese), Prestressed Concrete, V01.30, NO.5, ~ ~ 1 9 - 2 6
Hodhod, H.A.G.A.A.(1992): “Employment of Constituents Properties in Evaluation and Interpretation of FRP Rods Mechanical Behaviour”, Doctoral Thesis, Univeristy of Tokyo
Uomoto, T. et a1 (1995) “Fatigue Strength of FRP Rods for Concrete Reinforcement”, Building for the 2 1’‘ Century, Edited by. Y.C.Loo, EASEC, pp. 1659-1664
Uomoto, T. and Katsuki, F (1996), “Deterioration Mechanism of Glass Fiber Reinforced Concrete and Prediction of Strength Reduction”, Integrated Design and Environmental Issues in Concrete Technology, Edited by K.Sakai, FN & Spon, pp.137-146
8.
Katsuki, F. (1996), ”Evaluation of Alkali Resistance of FRP Rods for Concrete Reinforcement with Different Types of Fibers” (in Japanese), Doctoral Thesis, University of Tokyo
9.
Uomoto, T. and Ohga, H. (1996), “Performance of Fiber Reinforced Plastics for Concrete Reinforcement”, Advanced Composite Materials in Bridges and Structures, pp. 125-132
10. Uomoto, T., Nishimura , T., Kato, Y.: Development of new AGFRP tendon with high alkali resistance, Seisan Kenkyu, Vo1.48, No.9, pp.457-460. 1996 11. Yamaguchi, T. (1998), “Study on deterioration of FRP Rods for Concrete Reinforcement on Ultra-Violet Rays and Creep Rupture” (in Japanese), Doctoral Thesis, University of Tokyo 12. Uomoto, T., et al. (1998), “Strength and Durability of FRP Rods for Prestressed Concrete Tendons” (in Japanese), Report of the Institute of Industrial Science, University of Tokyo, Vo1.39, No.2, No.244 13. Nishimura T., et a1 (1999), “Temperature Effect on Fiber Strength in Different solutions”, JCI General Meeting, V0.2 1, No.2, pp.288-293
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SO FRPRCS -6: Keynote Paper
14. Uomoto, T(2000): Durability of FRP as Reinforcement for concrete structures, ACMBS-3 15. Uomoto, T (2001): Durability considerations for FRP reinforcements, FRPRCS-5, pp. 17-32, Thomas Telford, London
16. Sugiyama, M and Uomoto T.: Development of new GFRP rods with high alkali resistance, Seisan Kenkyu, 2003 (in press)
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan QWorld Scientific Publishing Company
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NEW TYPES OF CONTINUOUS FIBER REINFORCEMENTS FOR CONCRETE MEMBERS T. UEDA Division of Structural and Geotechnical Engineering, Hokkaido University Sapporo 060-8628, Japan
In this paper continuous fibers for concrete reinforcement with rather unique mechanical and/or other features are introduced. Carbon and Polyacetal Continuous Fiber Flexible Reinforcement, which are flexible enough to wind freely by hand may provide a solution to overcome a weak point of typical continuous fiber reinforcements and at the same time ease congestion of reinforcement in concrete members in highly seismic regions. Polyacetal fiber also has another feature that is a high fracturing strain of 69%. Despite its low stiffness that can be compensated by large amount, Polyacetal fiber gives a better ultimate deformation due to its high fracturing strain. Another item introduced in this paper is continuous fiber reinforcement externally bonded with a very soft resin. Previous studies mostly focus on properties of fibers not those of adhesive resin. Soft adhesive layer provides a better solution to enhance the delamination strength together with a ductile failure manner.
INTRODUCTION Continuous fiber reinforcement (CFR) provides us with a new option of internal and external concrete reinforcements. Unlike steel long dominated as the only concrete reinforcement in the past, CFR is non-corrosive. It has a very high strength to weight ratio hence reduces the amount of reinforcement. It is easy to handle during construction as cutting CFR requires only a simple cutter. CFR, however, shows some vulnerability such as low fracturing strain and no plastic deformation. Easy to cut is a good feature but at the same time a weak point. In order to utilize concrete strength and deformability fully its reinforcement should have a fracturing strain greater than 6 % (preferably 10 %). This is especially true for concrete members requiring high deformability which can be found in highly aseismic members. Elastic deformation without plastic deformation (or yielding) is not necessarily a weak point if the material has a high fracturing strain. The yielding, however, shows warning much clearly before failure.
52 FRPRCS -6: Keynote Paper
External bonding is a typical method for retrofitting concrete members and CFR is sometime used as a reinforcing material. External bonding creates another type of failure mode, that is delamination of externally bonded reinforcement. This failure mode does not happen in ordinary concrete members with only internal reinforcement. To provide a full anchorage (or development length) may not be economical or, in some cases, practical due to the space limit. Therefore, delamination is unavoidable in many cases. In this paper two new types of continuous fiber reinforcement and a resin for use as concrete reinforcement are introduced. Their new features are believed to help overcome some of the weak points found in typical CFR. The first one is “continuous fiber flexible reinforcement” or CFFR. CFR cannot be bent after the impregnated resin gets hardened due to the small plastic deformability of both fiber and resin. CFFR is introduced to overcome this problem. Two types of CFFR will be introduced in this paper -- with post-impregnation of resin and without resin. The second one is a continuous fiber whose fracturing strain is much greater than those of a typical CFR and is called Polyacetal Fiber (PAF). PAF does not require resin since the strengths of the bundled fiber at both straight and bent portions are not reduced. PAF in fact is the material for CFFR without resin. The resin to be introduced here is soft adhesive resin, which is used to enhance delamination strength. Particularly a very soft resin with Young’s modulus of 1 MPa is introduced.
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CONTINUOUS FIBER FLEXIBLE REINFORCEMENT (CFFR) Carbon Continuous Fiber Flexible Reinforcement (CCFFR)
The concept of continuous fiber flexible reinforcement was introduced in the late 1990s by a joint team of Nippon Steel Composites and Hokkaido University’, Carbon Continuous Fiber Flexible Reinforcement (CCFFR) is a bundle of thousands of carbon fibers inserted in a transparent PolyvinylChloride (PVC) tube that is injected by Vinyl-Ester type low viscosity high flowable resin (see Figure 1). Before the injection CCFFR is flexible enough to be bent, wound and placed by hand as you wish (see Figure 2). The original intention of CCFFR was to eliminate one of the disadvantages with typical continuous fiber reinforcement (CFR) such as carbon, aramid and glass CFR, that is the fact that you cannot bend CFR as you do for steel reinforcement. Since CCFFR can be bent by hand, it becomes even easier to handle at construction site. It can ease the difficulties encountered with
’.
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New Types of Continuous Fiber Reinforcements 53
Continuous Carbon Fiber
+
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Vinyl Ester type low viscosity high flowable resin
Figure 1. Carbon Continuous Fiber Flexible Reinforcement4
J
congested reinforcements. Although the elimination of the resin injection should provide us better constructability, it is less likely the case due to the fact that the tensile strength of bundled carbon fibers is significantly less than that of the fiber. PVC tube serves as electric isolator for carbon fiber since direct contact between carbon fiber and steel reinforcement causes steel to corrode more easily. In order to prove the advantage of CCFFR a series of experiments on reinforced concrete columns confined with CCFFR as the intermediate lateral tie was conducted3. Five column specimens were tested under the combination of flexure and shear. The size of all the columns was 350x350~1050mm and that of footing to which it was monolithically attached was 900x900x800 mm. All the columns contain the same amount of longitudinal reinforcement i.e., 8 D25 bars (deformed bar with a diameter of 25 mm); 4 each on both sides. The minimum amount of steel tie reinforcement of 9 D10 stirrups with a center-to-center spacing of 190 mm was provided. Besides the two reference columns S 1 and S2, three columns, S3 and S4 containing an additional 0.1 % carbon fiber and S5 containing an additional 0.2 % carbon fiber by volume were tested. The pattern of winding of CCFFR around the main bar is shown in Figure 2. The material properties of steel reinforcing bars and CCFFR are shown in Table 1. The ultimate strain of CCFFR is 15600 p and the thickness of the plastic tube is 1 mm. The concrete strengths and loading sequences are given in Table 2. Pressure injection of resin took 10 minutes after winding CCFFR. When the resin hardened 24 hours after the injection, the end portion of
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54 FRPRCS -6: Keynote Paper
st
ln a 0 m \c
E
0 4-
0
II U S
m
P 0
44-
. m
0
0
5l (D
k rv) L
m
m E E v) (v
P
*
N
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Figure 2. Arrangement of CCFFR4
CCFFR was passed through a steel pipe and fixed to the pipe with an expansive material. It was then allowed to set for 24 hours. The steel pipes were anchored with washers and nuts at the column top surface after the concrete was placed. The observed performance of each specimen is presented in the form of applied force versus column tip deformation in Figures 3 through 5 . The cyclic and reversed-cyclic hysteretic load-deformation relationship of the
New Types of Continuous Fiber Reinforcements 55
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Table 1. Material Properties in Specimens Strengthened by CCFFR CrossYoung's Yield Yield sectional modulus strength strain area (mm2) (GPa) (MPa) 04 D25 506.7 173 367 2121 D10 71.3 183 364 1891 CCFFR 16.89') 265 1) Cross-sectional area of a bundle of carbon fibers only
Reinforcement type
Ultimate strength (MPa) 551 357 69.8 kN
Table 2. Compressive Strength of Concrete and Loading Sequence for Specimens Strengthened by CCFFR Specimen S1 (Ref) S2 (Ref) s3 s4 Average fc ' ('Pa) 44.7 40.0 40.3 35.1 Sequence of & T& & &? Loading') 1) & One-sided cyclic loading; ?& Reversed cyclic loading
s5
35.4
&?
reference columns S1 and S2 suggest that the columns experienced rapid strength degradation due to insufficient confinement from the tie reinforcement. Specimen S2 even suffered a huge damage from splitting along the longitudinal bar to the loading point. To such columns that lack ductility, 0.1 % volume fraction of carbon fiber as CFFR was added. These columns are S3 and S4. Column S3, companion of column S1, did not only counteract the degrading strength but also enhanced it by 7.5 % before failure by rupture of CCFFR at 11% lateral drift, which means that the ultimate deformation was also enhanced. Column S4, companion of column S2, also counteracted the highly decayed strength in S2 with deformation enhancement. The strength increment was 9.4 %, while the ultimate drift was 6.3 %. This demonstrates that addition of CCFFR could effectively confine the core concrete with an introduction of its ductile failure rather than quick extension and widening of diagonal crack leading to shear failure. Column S5 contained 0.2 % volume fraction of carbon fiber as CFFR and was the companion of S2 and S4. It showed even further enhancement of shear strength and ultimate deformation. The strength increment and the ultimate drift was 23.1 and 8.2 % respectively. The superior performance of S5 over the companions indicates the greater confinement efficiency provided by the increased amount of CCFFR and the its appropriate
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56 FRPRCS -6: Keynote Paper zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONML Localized Rotation
300
zyxwvutsrqponmlkjihgfedc
\
, zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA
0
1
2
3
zyxwvuts 4
5
6
7
8
9
10
I1
Effective Lateral Drift (%)
Figure 3. Load-Deformation Curves of Reference Specimens without CCFFR (Specimens S1 and S3 placed horizontally in the photo)4
winding pattern as well as the efficiency of the clamping system at its extremities. The CCFFR provided the intended lateral confinement to the volumetric dilation of core concrete without any premature rupture of CCFFR. All the column specimens with CCFFR showed the rupture of CCFFR at bend which controlled the ultimate deformation. This fact implies that predictions of CCFFR strength at bend and strain development in CCFFR are necessary. An experimental investigation of bent-portion of CCFFR (see Figure 6) shows clearly that the bent strength ratio (ratio of bent portion strength to straight portion strength) has a tendency to decrease with an increase in angle of winding (0 in Figure 7 ) as shown in Figure 8 where d is CCFFR diameter and L is CCFFR length in concrete before bend. As
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New Types of Continuous Fiber Reinforcements 57 zyxwvuts
s2 zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHG s4zyxwvutsrqponmlkjihg
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200 300
-300
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-11
-9
-7
-5
-3 -1 1 3 5 Effective Lsteral Drift (%)
7
9
11
Figure 4. Load-Deformation Curves of Specimens with CFFR (Specimens S2 and S4 placed horizontally in the photo)4
other CFR bar reinforcement, the bent portion strength decreases as the bent radius decreases (which means here the decrease in diameter of main reinforcement around which CCFFR was wound). Numerical analysis with nonlinear finite element method is one of the methods to predict mechanical behaviors such as strain development in reinforcement. The author’s group at Hokkaido University recently developed a three-dimensional nonlinear finite element program for both concrete and steel-concrete composite members’. In order to apply this program for analysis of members with CCFFR, the constitutive model for force transfer versus slip relationship at the bent portion should be implemented. It is considered that the force transfer mechanism is characterized by the plastic tube compressive deformation and the resin
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58 FRPRCS -6: Keynote Paper zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONML
s2
s5 zyxwvutsrqponmlkjihgfedc
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1 -300 -11
-9
-7
-5 -3 - I 1 3 5 EffectiveLateraI Drift ( I % )
7
9
11
Figure 5. Load-Deformation Curves of specimens with Different Amount of CFFR (Specimens S2 and S 5 placed horizontally in the photo)4
failure in compression. The winding angle affects the force transfer-slip relationship. Based on those observations the empirical model was proposed4.
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New Types of Continuous Fiber Reinforcements 59
4
a End Clamp Tube for CCFFR b Continuous Arrangement of CCFFR c Main Bar 25 mm diameter d Steel Stirrup 10 mm diameter e Prestressing rod to fix Base Plate to the Strong Floor.
Displacement-control pull from Hydraulic actuator
Top-threaded 300mm long steel tube containing highly expansive material to confine CFFR
300
20mm diameter Prestressing rods to fix specimens with the base plate n
,
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350
1
Base Plate
600x600~25
e l I 1
Laboratory Strong Floor I
1
(All dimensions in mm) Figure 6. Element tension test for bent-portion of CCFFR4
60 FRPRCS -6: Keynote Paper
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Main Bar
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1.2
.-0 c,
a
p:
c c,
MI C
!!
;j c,
:
m
1
0.8
0.6
F
0.4 0.2
-5
5
15
25
35
45
Angle Deg.
Figure 8. Bent Strength Decrease with Winding Angle4
Polyacetal Continuous Fiber Flexible Reinforcement (PCFFR) Polyacetal fiber (PAF) has been used as ground reinforcement, however is rather new for concrete reinforcement6’’. It has a low stiffness but a high fracturing strain in comparison with a typical continuous fiber such as carbon, aramid and glass as shown in Table 3. Other features of PAF are that practically no strength reduction exists at bent portion or in the case without impregnating resin. These features make PAF a good material for CFFR. Unlike CCFFR, PAF does not require impregnating resin or attention to the bent-portion strength. In order to prove the applicability of PAF as CFFR (PCFFR), a series of tests on reinforced concrete columns with steel and PAF tie reinforcement
zyxwv zyx
New Types of Continuous Fiber Reinforcements 61
Table 3. Properties of Fiber for CFR
Carbon (PAN)
Carbon (Pitch)
Aramid
High strength type High elasticity type Ordinary type High strength and elasticity type High strength type High elasticity type
Fracturing strain
Density
PA)
(g/mm3)
2600-4500
200-240
1.3-1.8
1.7-1.9
2000-2800
350-450
0.4-0.8
1.8-1.9
780-1000
38-40
2.1-2.5
1.6-1.7
3000-3500
400-800
0.4-1.5
1.9-2.1
2800
130
2.3
1.45
3110
77
4.4
1.39
35003600
74-75
4.8
2.6
zyxwvu zy zyxw
E-glass Glass
Young’s modulus (GPa)
Tensile strength (MPa)
Fiber
Alkali 8oo 70-76 2-3 2.27 resistance 3500 Polyacetal 1730 20’’ 6-9 1.45 Polyester 219 1.04 21 1) Polyacetal fiber shows material nonlinearity. The initial stiffness is 40 GPa.
was conducted under reversed cyclic loading. Figure 9 and Photo 1 show the arrangement of PCFFR, which was wound around the longitudinal reinforcement. The details and test results of each specimen are given in Table 4. The test results indicate that PCFFR increases the ultimate deformation. Comparison of the load-deformation curve between specimen P2-2 with PAF and steel tie reinforcement and specimen P2-1 with only steel tie reinforcement is shown in Figure 10. The tie reinforcement ratios of both specimens are similar as shown in Table 4. Figure 10 clearly indicates that the ultimate deformation of the specimen with PCFFR is significantly greater than that of the specimen with only steel tie reinforcement. The reason may be that PCFFR was placed within the core concrete. It should be mentioned that the greater deformation was possible because of the absence of PAF fracture even at the ultimate deformation, which was observed in a comparable specimen S4 with CCFFR (see Table
4).
zyx z
zyxwvuts zyxwvut
62 FRPRCS -6:Keynote Paper
Outer PAF
Strain gage
Inner PAF
Back
Front
View from front face
Front
Back
View from back face
zyx
Figure 9. Arrangement of PCFFR (in specimen S l )
Although no fracture of PAF was observed in all the specimens, prediction of strain in PCFFR is important. This is because the tensile fracture of PCFFR is still possible and because the contribution as shear reinforcement of PCFFR can be quantified by the tensile force carried by PCFFR at ultimate. The measurement of PCFFR strain in details shows that
New Types of Continuous Fiber Reinforcements 63
early strain development in PCFFR indicates better efficiency than steel tie reinforcement and is caused by direct contact between PCFFR and the longitudinal reinforcement. Gap likely to exist between steel tie reinforcement and longitudinal reinforcement cannot make the steel tie as efficient as PCFFR. Based on the experimental observation a simple formula to predict the PCFFR strain as a function of maximum deformation was proposed by assuming a constant ratio 0.61 of average steel tie reinforcement strain to PCFFR one4.
Photo 1. Arrangement of PCFFR
zyxwvu zyxwvutsr zyxw zy zy zyxw
64 FRPRCS -6: Keynote Paper
Table 4. Details and Test Results of Reinforced Columns with PCFFR and CCFFR
4
fc PY P m all iu (MPa) @N) (mm) @N) (mm) (SJS,) P1-1 2.7 0.51 23.7 176.6 P1-2 185.5 10.28 211.2 33.8 3.4 2.7 0.51 0.52’’ 29.3 4.2 P1-3 2.7 0.51 0.79’’ 32.3 174.9 10.28 196.3 43.7 P2-1 2.04 0.68 27.4 139.2 8.02 158.2 30.4 3.8 P2-2 2.04 0.17 0.58’) 29.8 128.1 7.96 159.8 65.2 8.2 s4 2.0 0.21 0.10” 35.1 213.4 13.54 255.0 57.3 4.2 1) PCFFR for specimens P1-2, P1-3 and P2-2 and CCFFR for specimen S4 2) ps: longitudinal reinforcement ratio, pw:steel tie reinforcement ratio, pcf: continuous fiber reinforcement ratio as tie reinforcement,f’,: concrete compressive strength, Py: yielding load, 8,: yielding deformation, Pmm: maximum load, dU: ultimate deformation, and p: ductility ratio
Specimen
Ps
Pw
PA) PA)
Pcf
(%)
zyxwv zyxw Deformation (mm)
~
Figure 10. Load-Deformation Curves of Columns with PCFFR and Steel Tie Reinforcement
zyxw z
New Types of Continuous Fiber Reinforcements 65
CONTINUOUS FIBER WITH HIGH FRACTURING STRAIN Here “high fracturing strain” is stressed in comparison with “high strength” and “high stiffness”, which are often cited as a good feature of reinforcing material. High strength and/or stiffness reduce the needed amount of material. However the high cost of material, which is likely for the material with high strength or stiffness, reduces the attractiveness of the material. On the other hand, lower strength andor stiffness can be compensated by providing more material. In ordinary reinforced concrete members concrete crushing rather than fracturing of steel reinforcement is the cause of member failure, This is mainly due to the high fracturing strain of the steel reinforcement. On the contrary fracturing of continuous fiber reinforcement is usually the cause of member failure in concrete member with typical CFR because of its rather low fracturing strain (0.4 to 5 % as shown in Table 3). In order to utilize the concrete strength fully a higher fracturing strain is necessary. Unlike strength or stiffness, adding the material cannot compensate for the low
zyxwvz Deformation (mm)
Figure 1 1 . Load-Deformation Curve of Column with PAF Sheet Jacketing Failing in Flexure
zyxwvutsr
66 FRPRCS -6: Keynote Paper
zyxwv zyx
fracturing strain. The only solution is to use material with a high fracturing strain. Enhancement of Ultimate Deformation
The fracturing strain of Polyacetal Fiber is 6 to 9 %, which are 2 to 6 times of those in carbon, aramid and glass fibers as shown in Table 3. PAF can be used as both external and internal reinforcement to utilize its high fracturing strain. The internal reinforcement of PAF was already introduced as PCFFR in the previous section. PAF a s external reinforcement is in a sheet form for jacketing and bonding. A series of tests on reinforced columns with and without PAF sheet was conducted7. Three specimens PJ1, PJ2 and PJ3 that were identical except for PAF sheet ratio were prepared. PAF sheet ratios were 0, 0.146 and 0.291 % for PJ1, PJ2 and PJ3 respectively, while ratio of steel tie reinforcement was 0.151 %.
Photo 2. PAF Sheet for Jacketing at Ultimate Deformation without its Fracture
New Types of Continuous Fiber Reinforcements 67
Figure 11 indicates that the ultimate deformation of the specimens with PAF sheet is greater than that of the specimen without PAF sheet. In most of the specimens PAF sheet did not fracture at the ultimate deformation (see Photo 2), therefore the load-deformation curves show very ductile behavior even after the ultimate deformation. This phenomenon is not seen in specimens with carbon and aramid fiber sheet jacketing in which the sheet fracture causes a sudden drop of the load carrying capacity.
z z zyxwvu
Enhancement of Shear Strength
Another series of tests on the enhancement of shear capacity of columns by PAF sheet jacketing was conducted7. Three specimens T1, T2 and T3 identical except for the PAF sheet ratios that are 0.077, 0.153 and 0.29 1 % respectively were prepared. Two reference specimens P and C whose steel tie reinforcement ratio is 0.151 %, same as those in specimens TI, T2 and T3, were prepared, P without PAF sheet jacketing while C with carbon fiber sheet instead of PAF sheet. The carbon fiber sheet ratio is 0.017 %. Comparisons were made between specimens T1, T2 and T3 and specimen P; and between specimen T2 and specimen C. Because of its high fracturing strain the PAF sheet in the experimental specimens did not fracture when the shear capacity was reached. Specimens TI and T2 gave higher shear capacities than specimen C with carbon fiber sheet whose stiffness as
250 200
3 150 TI
8
-I
100
zyxwvu
50
0
zyxwvu 0
20
40
60
80
I00
Deformation(mm)
Figure 12. Load-Deformation Curve of Column with PAF Sheet Jacketing Failing in Shear
zyxwvut
68 FRPRCS -6: Keynote Paper
reinforcement (defined as product of reinforcement ratio and Young’s modulus) was similar to or greater than those of PAF sheet’ as shown in Figure 12. The carbon fiber sheet fractured at the peak load causing shear failure. While specimens T1, T2 and T3 show very ductile manner even after the peak load, specimens C and P show rather brittle manner that is the nature of shear failure.
zyxwvu zy z
Prevention of Total Collapse under VerticalLoads
Another type of fiber, a polyester fiber with even higher fracturing strain of around 20 % was applied to jacketing method’. The material constants are given in Table 3. Generally fiber materials with high fracturing strain indicate low Young’s modulus. Polyacetal and polyester fibers are no exception. The Young’s modulus of the former and the latter is 10 to 20 % and 1 % of that of carbon fiber respectively. The experimental study on polyester fiber sheet jacketing’ indicates that if the jacketing material does not fracture, at least the total loss of load carrying capacity for vertical load in columns can be prevented despite its extremely low stiffness. CONTINUOUS FIBER REINFORCEMENT BONDED WITH SOFT RESIN
For externally bonded continuous fiber reinforcement three types of resin are necessary; namely resin for primer, resin for adhesive and resin for impregnation. Recent studies found that usage of soft adhesive resin can improve the delamination capacity in both pullout bond test and beam test” 10
Bond Behavior Bond properties of CFR, such as average bond strength and local bond-slip relationship, were investigated by pullout test as shown in Figure 13. It is known that a higher stiffness of CFR gives a higher pullout force of the CFR externally bonded to concrete when delamination happens. Recent experimental results’ indicate another interesting fact that using adhesives with low shear stiffness, which is introduced by either increasing the thickness or decreasing of the elasticity of adhesives, can also improve the ultimate load transfer ability of CFR-concrete interfaces as shown in Figure 14. Decreasing the shear stiffness of adhesives reduces the interfacial strain distribution gradient as well as increases the effective bond length
zyxwvu zy zyx
New Types of Continuous Fiber Reinforcements 69 Load cell
t
7
/
zy zyxwvu zyxwvu
Steel plates attached to the both sides of CFR
4
I
CFR ‘
K
Bolts for fixing the concrete block on the base Vinylon tape
Enhancing anchorage bolts
Prestressed bolts
Hinges
‘”
Concrete block with four pre-set tubes
Steel basement for fconcrete block
ig floor
zyxw
Figure 13. Setup for Pullout Bond Test
significantly (see Figure 15). Unlike increasing the CFR stiffness, decreasing the shear stiffness of adhesives leads to a lower interfacial maximum bond stress and more ductile bond-slip behavior, although both ways increase the ultimate load transfer capacity. It should be noted that effects of adhesive resin are significantly different from those of impregnating resin. A lower stiffness of impregnating resin for CFR does not give a higher pullout capacity, instead it may cause fiber to fracture more easily.
70 FRPRCS -6: Keynote Paper zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONM &C F R P - 2 5 3 G P mm
+C F R P - 5 0
CFRP-759GPamm +AFRP-63lGPamm
%
6GPamm GFRP-262GPamm
zyxw
20 -.+---FPR fracture I 10 --zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFED 0
1
3
2
4
Ea Pa)
(a) Effects of adhesive’s elastic modulus
&CEXP-25
,--.60 50
-
-
z 4 030- :
20 10 -
3GPamm
+C F R P - 7 5 9 G P a m m
zyxwvuts +i zyxw zyxwvuts
0 -
-.
_--”
-
-1 I
*FRP
fki-
I
1
(b) Effects of adhesive’s thickness
Figure 14. Effects of Shear Stiffness of Adhesive on Pullout Bond Force
zyxw zyxwvut zyxwv
New Types of Continuous Fiber Reinforcements 71 zyxwvut
+ CFRP-253GPamm ,/ G F R P - 8
7GPamm + AFRP-18 5GPamm
!i
O
O
CFRP-50 6GPamm CFRP-756GPamm GFRP-262GPamm 0 GFRP-436GPamm AFRP-319GPamm AFRP-63 7GPamm
.
m
2
4
'Et/taGPa/mm8 ) zyxwvutsrqponm
Figure 15. Effects of Adhesive's Shear Stiffness on Effective Bond Length
Member Behavior
In beams with externally bonded CFR sheet or plate as flexure reinforcement, failure mode caused by delamination of CFR is often observed. Provision of better bonding characteristics of the interface can improve the performance of a strengthened member. In a previous experiment", a new adhesive resin with low Young's modulus and high deformability was applied between primer and FRP reinforcement. The CFR is carbon fiber sheet (CFS) with impregnating resin whose stiffness is 2.0 GPa. CFS used in this study is unidirectional strengthening zyxwvu
Strain gage on steel Strain gage on sheet >I zyxwvutsrqponmlkjihgfedcbaZYX 0
I
I> e +e
By considering the velocity discontinuities with the layer mechanisms, we get the other two sufficient conditions for collapse.
zyxwvu
414 FRPRCS-6: Externally Bonded Reinforcement for Flexure
Interface Mechanism
In the case of interface mechanism, velocity discontinuities is considered in interfaces. -3
U = 0 , t 2 = 0 and c l = O i n a .
zyxw zyxwvu
A sufficient condition for collapse is:
+2L2.rk: +-e2+e3 (41L)~:: e' +e2
IQI 2 ?[41Lr;;' e' +e2
e Z f e 3 2 2.3 +2 L 72c 1
(6)
e' +e2
Mixed Mechanisms
zyx zyxw
In the case of mixed mechanisms, the velocity discontinuities are considered in one layer and one interface. The mixed mechanism case concerning layer 1 and interface (2,3) are explored. It is assumed that the rate of generalised shearing strain between layers 1 and 2 is null.
e ' + e 2 2~
IQI'T-cosa + 2Yo"I
It
1+
e2 +e3
--I
-I
s i n a + N 1 2cosa+N12sina-
L
+ N:2t cosa 1-
*-yo
I-Yo
e2 +e3
(2LI -(I -yo) L) T y +-
el +e2
2
L
2.3
72c
L
(7)
1
When considering velocity discontinuity with a mixed mechanism, three other similar conditions sufficient for collapse are obtained. MODELLING AND COMPARISON WITH TEST RESULTS The tension zone in concrete below the neutral axis is neglected. An approximated method is used to calculate the depth of the neutral axis. Failure can occur with kinematic field discontinuity in layer 1 (compressive concrete ), layer 2 (steel) or layer 3 (CFRP strips). Failure can occur with
zy
RC Two-way Slabs with Composite Materials 415
zyxw
kinematic field discontinuity in interface (1,2), with separation of the external strengthening membrane (CFRP strips) from the concrete. Failure can occur also with kinematic field discontinuity in interface (2,3) called “peeling off failure”; where the whole thickness of cover concrete is removed. By considering a = 45”, eight possible collapse mechanisms and eight sufficient condition for failure are obtained. 2,3
2,3
zyxw
It was noted that z,c = zZc is the concrete shear stress strength, and is about 2.5 MPa. Also,
1,2
T , ~ = r,zmis
the shear stress strength at the
1.2
interface 1,2 in the x-direction, and zZc = r2z, is the shear stress strength
zyxwvu
at the interface 1,2 in the y-direction. The value r, is the section strength rate with CFRP strips in the x-direction and r2is the section strength rate with CFRP strips in the y-direction. For the present RC strengthened slabs, 5 = r2 = 25%, and z, is the shear stress strength at the bonding interface between concrete and CFRP strips, and is about 2.5 MPa. The calculated results of maximum capacity at each mechanism are given in table 1.
ble 1 Properties
Ta
Layer mechanisms
Mixed mechanisms
Interface mechanism
Mechanisms
Ultimate loads (KN)
I and 2 2 and 3 I and3 I and (2,3) 3 and (1.2) 2 and (1,2) 2 and (2,3) (1,2) and (2,3)
538 255 344 439 I86 123 341 3 74
zyxw
According to the tests, failure occurs with strips debonding and the ultimate load capacity is about 120 kN. The present model predicts failure with a mixed mechanism with CFRP strips debonding and steel yielding, and gives ultimate load capacity as equal to about 123 kN. A good agreement between theoretical and experimental results is therefore found. CONCLUSION
Results of the experimental study indicate that externally bonded CFRP plates can be efficiently used to strengthen two-way RC slabs. Limit analysis approach can predict correctly the ultimate load capacity of CFRP bonded RC slabs. This analysis is validated by comparison with test results.
416 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
zyxwv zy z zyx
The model presents eight possible collapse mechanisms including three layer mechanism, four layer mechanism and one interface mechanism. It also gives simple sufficient conditions and the ultimate load capacity for each collapse mechanism.
REFERENCES 1.
Meir U., “Bridge repair with high performance composite material.” Mater Technique, 1987;4: 125-8.
2. Teng J.G., Lam L., Chan W., Wang J., “Retrofitting of deficient RC cantilever slabs using GFRP strips.”, J. Comp. Constr. L 2000; 4(2): p. 75-84 3. Garden H.N., Quantrill R.J., Hollaway L.C., Thorne A.M., Parke G.A.R., “An experimental study of the anchorage length of carbon fibre composite plate used to strengthen reinforced concrete beams ”, Construction and building materials, 12(1998), pp 203-219. 4. Rabinovitch O., Forstig, Y., (( Strengtheneing of RC slabs with circular composite patches a high-order approach D, composite structures, p225238, ~ 0 1 5 5 , 2 0 0 2 5. Famiyesin, O.O.R., Hossain K.M.A., Chia Y.H., Slade P.A., (( Numerical and analytical predictions of the limit load of rectangular two way slabs D, 2001, Computes and Structures 6. Limam O., For&t G., Ehrlacher A., “RC beams strengthened with composite material: a limit analysis Approach and Experimental Study”, composite structures, 59 (2003) 467-472. 7. Philippe M., Naciri T. Ehrlacher A., “A tri-particle model of sandwich panels”, Composite Science and Technology, 1999, p. 1 195-1206. 8. Johansen, K.W., “Yield Line Theory”, Cement and concrete Association, London, 1962 9. Salengon J., (( Calcul a la rupture et analyse limite D, Presses de 1’E.N.P. C.
z
zyxwvu zyxwv zyxwvuts
FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan QWorld Scientific Publishing Company
EVALUATION OF EXTERNALLY BONDED CFRP SYSTEMS FOR THE STRENGTHENING OF RC SLABS K. Y. TAN, G. TUMIALAN AND A. NANNI Department of Civil Engineering University of Missouri, Rolla, USA Rolla, MO65409-0710
The use of carbon fiber-reinforced polymer (CFRP) composites as externally bonded reinforcement (EBR) for the repair and strengthening of deficient structures has been taking place since the late 1980’s. Continuous efforts in material development and research activities, with strong links to engineering practice, give this application more and more interest worldwide. This paper presents an experimental study on flexural strengthening of reinforced concrete (RC) slabs with different CFRP systems, using different EBR techniques. All the slabs were tested to failure under simply supported conditions. CFRP EBR increased the flexural strength and reduced the deflections and crack widths of the strengthened slabs. Two modes of failure, delamination and rupture of the CFRP reinforcement were observed
INTRODUCTION The wide acceptance and attractiveness of the externally bonded reinforcement (EBR) technique using epoxy-bonded plates can be attributed to the development of strong structural adhesives. The development of high strength-to-weight ratio, ease of fabrication and bonding and excellent resistance to electrochemical corrosion of fiber reinforced polymer (FRP) composites has given this technique even more acceptance worldwide. Over the last years, various types of FRP systems and EBR techniques have been developed and extended the possibilities of FRP EBR. In this experimental program, three different commercial products, which include pultruded laminate plates, fiber laminate sheets and pultruded laminate bars, were used to strengthen the RC slabs by four installation techniques. The techniques used were cold cured adhesive bonding, prestressing, wet lay-up and near surface mounted (NSM). All the strengthened slabs were tested to failure under simply supported conditions, subjected to a 6-point concentrated static loading system. A control slab was used as a baseline to compare the strengthened slabs.
418 FRPRCS-6: Exfernally Bonded Reinforcementfor Flexure
zyx
zyxw zyx '
EXPERIMENTAL PROGRAM Slab Details
A total of five slabs (1000 x 220 x 6300 mm) (39.4 x 8.6 x 248 in.) were fabricated and cured under normal laboratory conditions. All the slabs were reinforced in the longitudinal direction with two $10 mm (#3) and four $13 mm (#4) deformed steel bars, and in the transverse direction with $10 mm (#3) steel bars, spaced at 200 mm (7.9 in.) center-to-center. The minimum clear cover for the slabs was 30 mm (1.2 in.). (See Fig. 1.)
zyxwv
' L m / I 6.30
0.22
zy zyxwvu
LONGITUDINAL STEEL DISTRIBUTION
-1
''0°
1
f c = 27.6 MPa (4000psi) fy=413.7MPa(60ksi) Lenght = 6.3m(20.8ft) Dimensions in meters
T-.LD.I-2m,.nj 022
0.03
CROSS SECTION A-A
Figure 1 . Typical Cross Section of Slab
Three different CFRP systems and four different EBR techniques were used for the strengthening of the RC slabs. Table 1 summarizes the test matrix. The procedures for the installation of each system are described in the following section. All the strengthened slabs were tested after a curing period, under normal laboratory conditions, of 7 days after applying the adhesive.
zyxwvutsr zyx zy Table 1: Test Matrix
~
EBR Techniaues
CFRP Systems
Control
N/A
N/A
A
Cold cured adhesive bonding
2 strips of laminate plates
Prestressing
Zstrips of laminate plates
Manual wet lay-up
I ply of Fiber laminate sheets 8 strips of laminate bars
Slab
B C D
Near surface mounted
zyxwvu
CFRP Systemsfor the Strengthening of RC Slabs 419
Material Properties
zyx zy zyx
a)
Concrete. The compressive strengths of concrete for the test specimens
b)
Steel reinforcement. An average yield stress of 413.7 MPa (60 ksi) and
are presented in Table 2.
E-modulus of 200 GPa (29000 ksi) were obtained from tensile tests. c) CFRP systems. Table 3 shows the lower boundary mechanical properties of the CFRP systems provided by the manufacturer. No independent tests were performed to characterize the material. d) Adhesive. The epoxy gel adhesive and saturant were both two-part systems. After mixing, the epoxy gel adhesive had a paste-like consistency while the saturant had a liquid form. Table 4 shows the adhesive properties provided by the manufacturer. Table 2: Compressive Strength of Concrete at 28 days
zyxwvu zy
Slab
Compressive Strengths, MPa (psi)
Control
30.2 (4380)
A, B
33.8 (4900)
C, D
42.4 (6140)
Table 3: Material Properties of the CFRP Systems
CFRP System
Cross section, Af mm2 (in’)
Ef kN/mm2 (Mi)
Pultruted laminate 120 (0.186) 164 (23) plate Fiber laminate 240 (34.8) 117 (0.181) sheet* Pultruded laminate 112 (0.174) 164 (23) bar * Based on dryfiber cross-sectional area.
Tensile strength, N/mm2 (Ksi)
Ultimate strain, %
2500 (360)
1.6
3800 (550)
1.55
2900 (420)
1.8
&
Table 4: Adhesive Properties
ble 1 Properties ble 1 Properties
Ta Ta
Epoxy gel Saturant
69 (10 )
69 (10)
96.5 (14) 82.8 (12)
4.1 (600) 3.4 (500)
2 2
420 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
zyxw
INSTALLATION PROCEDURES
All the concrete surfaces were sandblasted and cleaned to ensure good bonding before strengthening. The adhesive was mixed in the specified ratio until a uniform and complete mixture was observed.
Slab A: Cold cured adhesive bonding Laminate Plate The epoxy gel was uniformly spread on the areas where the CFRP plates were to be placed. The CFRP plates were cut into the designed length and pressed into the wet epoxy gel using a hard roller. Air trapped between layers was rolled out before the epoxy gel sets. The thickness of the epoxy gel was approximately 1.5 mm (0.06 in.). (See Fig. 2a.)
Slab B: Prestressed Laminate Plate The installation of prestressing CFRP system started with the preparation of the moveable anchorage. This consisted of gluing one end of the CFRP plate between two steel plates, held in place by means of screws. After the moveable anchorage was cured for 24 hours, a fixed anchorage was installed and the CFRP plate was glued between the steel plate and the concrete surface. The steel plate was fastened to the concrete surface by means of an insert. The fixed anchorage was cured for another 24 hours before the CFRP plate could be stressed. While waiting for the fixed anchorage to cure, another fixed anchorage was attached, on the other end of the slab, to the concrete surface by means of an insert. Once the two fixed anchors were installed, the system was ready for stressing with a hydraulic jack. During the prestressing process, an epoxy gel was spread uniformly on all areas where the CFRP plate has contact. The thickness of the epoxy gel was approximately 1.5 mm (0.06 in.). Trapped air was released by rolling. Each laminate plate was stressed to an initial elongation of OS%, which represented 33% of the ultimate strain. After the epoxy gel cured, the moveable anchor was removed while the fixed anchors remained in place. (See Fig. 2b.)
zy zyxwvu
Slab C:Manual Wet Lay-up Laminate Sheet
An adequate layer of saturant was spread uniformly on all areas where the CFRP laminate sheet was to be placed. A single ply of CFRP laminate sheet was cut to design lengths and pressed down with a “bubble roller”. A second layer of saturant was reapplied to complete impregnation prior to cure. (See Fig. 2c.)
zyxw
zyxw zy
CFRP Systemsfor the Strengthening of RC Slabs 421
Slab D: Near Surface Mounted Laminate Tapes
Eight grooves approximately 3 mm (1/8 in.) wide and 15 mm (5/8 in.) deep, 12.6 cm (5.0 in.) center-to-center, were cut into the substrate of slab. The grooves were vacuum cleaned and then filled with saturant. The laminate bars were cut to design lengths and lightly pressed into the grooves. The grooves were refilled after part of the saturant was absorbed by the microcavities of the concrete. (See Fig. 2d)
(a) CFRF' Plates
(b) Prestressed CFRP Plates
zyxwvu
(c) CFRP Sheet
(d) NSM CFRP Tapes Figure 2: Test Specimens
TEST SETUP AND TEST PROCEDURE Two heavy-duty pin rollers were used to support the slab on a span of 6.0 m (20 ft.). The distance between each point load was 1.2 m (4.0 ft.). (See Fig. 3). A total of 5 linear variable differential transducers (LVDT' s) were placed at 1.5 m (5 ft.) from each other, starting from the supporting edge,
422 FRPRCS-6: Externally Bonded Reinforcement for Flexure
z
for displacement monitoring. Strain gages were used to measure strains on the CFRP systems and concrete. An 89kN (20 kip) capacity load cell was used to measure the applied loads. All the data from the electronic devices were recorded by a data acquisition system at a frequency of 1Hz. PI
l-l
150
120
zyxw zyxwvutsrq zyxwv zyx
PI
PI
+ ++ 1 50
I 50
I
I
1 50
41 2 0 4--120 &120 +120
Figure 3: Test Setup (dimensions in meter)
zyxwvu
TESTRESULTS Mode of Failure
A measure of the efficiency of the different CFRP EBR can be obtained by considering the modes of failure and the failure loads of the slabs. Fig. 4 illustrates the failure modes of the strengthened slabs and Table 5 summarizes the experimental results. The Control Slab exhibited a typical under-reinforced flexural failure. The test was discontinued after the steel yielded before the concrete crushed at a load of 5.60 kN (1.26 kips) due to excessively large cracks at the tension zone. This slab was used as a baseline to compare the remaining slabs. Slab A had a failure caused by delamination at a load of 13.7 kN (3.08 kips). As a reference, the theoretical failure load based on laminate rupture for Slab A was computed as 20.3 kN (4.56 kips), which is 48% larger than the experimental load. The introduction of initial prestressing provided Slab B with the ability to resist high loads prior to cracking. The cracks that developed in Slab B were fewer and finer as compared to Slab A. At a load of 20.7 kN (4.67 kips), sudden slippage took place at the fixed anchorage. The failure load for Slab B was close to the theoretical ultimate load, 22.7 kN (5.10 kips). In Slab C, a portion of the CFRP laminate sheet ruptured at a load of 21.3 kN (4.78 kips). After a brief time, the slab failed completely. No sign of debonding was observed at both ends of the slab. The experiment failure
CFRP Systems for the Strengthening of RC Slabs 423
zyx
load was 37% lower that the theoretical ultimate load, 29.2 kN (6.57 kips). This difference led to the conclusion that FRP rupture may have been caused by stresses concentration at the crack edges. Slab D reached the expected flexural capacity. The NSM laminate bars at the constant moment region ruptured at a load of 24.1 kN (5.43 kips). The test results positively proved that a good and uniform bond existed between the NSM laminate bars and the concrete.
(a) Slab A
(b) Slab B
(c) Slab C
(d) Slab D
Figure 4: Failure modes of the strengthened slabs.
zyx
The load vs. deflection curves for all the slabs are shown in Fig.5. The Control Slab started to yield after a load of 4.4 kN (1 .O kips) and continued to deform thereafter. All strengthened slabs responsed approximately linear before the concrete crack and with stiffnesses of about 84% greater than the Control Slab. At a load of 13.7 kN (3.08 kips), Slab A failed suddenly and exhibited low ductility. Due to the prestressing in Slab B, lower deflections were observed at the same level of loads as compared to Slab A. The plateau formation after 17.8 kN (4.0 kips) was interpreted as the beginning of delamination and slippage at the fixed anchorages.
zyx zy zyxwvu zyxw
424 FRPRCS-6: Externally Bonded Reinforcement for Flexure
The CFRP laminate sheet had an axial stiffness, E& of approximately 1.5 times larger than the other CFRP systems. The influence of the Efifin the stiffness of the strengthened slab was clearly observed in Slab C. Slab C had a stiffness similar to Slab B before the steel yielded. The CFRP laminate bar have a similar Eflfwith CFRP laminate plate, hence, Slab D and Slab A had a similar stiffness and behavior after initial cracking.
zyxw
Table 5: Test Result
Slab
Max. applied load, P kN (Kip)
E//EJ, (%)
Failure Increment, moment *, (%) kN-m (lc-ji)
Normalized Increment * *
(1) Control
(2)
(3) 5.6 (1.26)
(4) 46.8 (34.5)
(5)
__
(6)
--
A B
15.3 15.3
13.7 (3.08) 20.8 (4.65)
76.3 (56.3) 102.2 (75.4)
63 118
4.1 7.7
--
C 21.8 21.3 (4.78) 104.0 (76.6) 122 D 14.2 24.1 (5.43) 114.6 (84.5) 145 *Include slab self-weight. ** Column 5 divided by column 2
0
Midspan Deflection (in) 6 8 1 0
2
4 I
1
,
25
I
//
5.6 10.2
2
!I finnn ----
15000
4000
10
Control Slab SlabA SlabB SIabC
e)
2000
+ 5
zyxwvu zy -.--&--
0
7
o,o
-
-ii
10 l5 20 Midspan Deflection (crn)
25
Figure 5: Load vs. Deflection Curves
~looo
30
zyxw zyx zy zyxw
CFRP Systemsfor the Strengthening of RC Slabs 425
zyxw
The load vs. strain curves of Slab A, B, C and D are presented in Fig. 6. The following is observed: a) The concrete strains for all the specimens were less than 0.003. b) The CFRP laminate plate at Slab A delaminated when the strain at the mid span reached 0.56%, which was 35 % of the ultimate strain. c) The strains along the prestressed CFRP plate at Slab B started with an initial elongation of 0.5%. Strain gages close to the anchorage showed a dramatic increase at 18.5 kN (4.15 kips), indicating that delamination had reached the edge of the fixed anchorages. d) Slab C had strains patterns similar to Slab A. c) The CFRP bars in Slab D were uniformly stressed along the slab until they reached the ultimate strain.
Smm(l0.6)
(d) Slab D
Figure 6 : Load vs. Strain Curves
CONCLUSIONS
The following conclusions can be drawn from this experimental program: a) Significant increases in flexural capacity ranging from 63% to 145% were registered in all strengthened slabs as compared to the Control Slab.
.
426 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
b) During the test, it was observed that the CFRP EBR delayed the presence of the first visible cracks and reduced the deflection. c) The slab strengthened with CFRP plates failed due to delamination starting from the constant moment region and propagated towards the cutoff points. d) Prestressing of the CFRP laminate plate had a positive influence on the behavior of strengthened RC slab. The load capacity was substantially increased and the deflection and crack formations were substantially reduced. e) Premature failure at fiber laminate sheet was due to high stresses concentration at crack locations . f ) The slab strengthened with NSM bars exhibited a behavior such that CFRP reinforcement was fully utilized.
zyxw zyxw zyxw zyxwv zyxwv zy
ACKNOWLEDGMENTS
The authors would like to acknowledge the support of the S&P Clever Reinforcement Company. REFERENCES
.
1. Taerwe L., Matthys S., Pilakoutas K. and Guadagnini M., “European Activities on the Use of FRP Reinforcement, fib Task Group 9.3 and ConFibreCrete Network”, 5Ih International Conference on FRP Reinforced Concrete Structures (FRPRCS-5), Cambridge, UK, July 1618, 2001, Vol. 1, pp. 3-1 5 . 2. Triantafillou T., Matthys S. and Taerwe L., “Design of Concrete Members Strengthened with Externally Bonded FRP Reinforcement” 5Ih International Conference on FRP Reinforced Concrete Structures (FRPRCS-5), Cambridge, UK, July 16-18,2001, Vol. 1, pp. 157-166. 3. American Concrete Institute International, “Guide for The Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures ”,ACI-440.2R-02, Farmington Hill, Michigan. 4. S&P Clever Reinforcement Company, “Guide Line for S&P FRP Systems”, Brunnen, Switzerland, June 2000.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan @World Scientific Publishing Company
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FLEXURAL STRENGTHENING OF TWO-WAY SLABS USING FRPs H. MARZOUK Faculty of Engineering, Memorial University of Newfoundland 300 Prince Philip Dr., St. John’s, Newfoundland, Canada, A I B 3x5
U.A. EBEAD AND K.W. NEALE Department of Civil Engineering, University of Sherbrooke 2500 boulevard de I’UniversitC, Sherbrooke, QuCbec, Canada, J1K 2R1 Strengthening of two-way slabs using Fibre Reinforced Polymer (FRP) materials is presented. The behaviour of two-way slabs strengthened in flexure is discussed. Carbon FRP strips and glass FRP laminates can be used to increase the flexural capacity of two-way slabs to an average of 36% over that of the reference (un-strengthened) specimen. An increase of the initial stiffness was achieved for flexural specimens; however, an apparent decrease in the overall ductility was evident. A finite element analysis of the flexural-strengthened two-way slabs is also discussed. An incremental elastic-plastic concrete model is implemented. In compression, the concrete model is elastic until a yield point is reached after which irrecoverable plastic strain exists. Pre-cracking and post-cracking behaviours of concrete are considered in the study with special emphasis on the impact of the FRP materials on the concrete fracture energy and hence on the concrete tension stiffening. A full bond is assumed between concrete and the steel and FRP materials. The comparison between the finite element analysis results and the experimental results shows a good agreement.
INTRODUCTION Increasing attention has been placed to the applications of advanced composite materials especially glass fiber reinforced polymer (GFRP) laminates and carbon fiber reinforced polymer (CFRP) strips in the structural engineering field. There is a wide range of recent, current, and potential applications of these materials that cover both new and existing structures. The flexural capacity of concrete beams can be increased by bonding FRP sheets, strips or laminates to the tension side.’,* In addition, shear resistance of beams can be increased by using GFRP laminates
428 FRPRCS-6: Externally Bonded Reinforcement for Flexure
wrapped over three sides of beams at locations of high shear s t r e ~ s e s A .~ large number of research works have dealt with the de-bonding of FRP sheets to concrete beams.4 Some mechanical and finite element models have been developed to provide design guidelines and to investigate theoretically possible modes of failure of FRP strengthened beams based on experimental data.5x6Limited research work has been conducted on the strengthening of reinforced concrete slabs especially two-way slabs using FRP materials. Some research works dealt with the strengthening of one-way slabs using FRP materials in which slabs were treated in a very similar way to beams.7
zyxwvu
EXPERIMENTAL PROGRAM Materials
One m3 of concrete contains 1160 kg of gravel, 690 kg of sand, 350 kg of cement, and 175 liters of water. The compressive strengths of concrete at the day of the test ranged from 30 MPa to 35 MPa. The steel reinforcement bars were CSA grade 400 deformed bars. Unidirectional GFRP laminates and CFRP strips were used as strengthening materials. CFRP strips have a thickness equal to 1.2 mdlayer, tensile strength of 2800 MPa, and elastic modulus of 170 GPa. In addition, GFRP laminates have a thickness of 1 mdlayer, tensile strength of 600 MPa, and elastic modulus of 26.13 GPa. As per the manufacturer specifications, CFRP strips and GFRP laminates use different two-component epoxy adhesive resins. Test slabs and setup
zyx
The tested simply supported specimens were square with 1900-mm side length and 150-mm thickness as shown in Figure 1. Column stubs were square of 250-mm side dimension and were located at the slab center. Two un-strengthened specimens were used as reference specimens, Ref-P-0.35% and Ref-P-0.5% of reinforcement ratios of 0.35% and 0.5%, respectively. Specimens CFRP-F-0.35% and CFRP-F-0.5% and Specimens GFRP-F0.35% and GFRP-F-0.5% were strengthened using GFRP laminates and CFRP strips, respectively. A hydraulic actuator of 700 kN capacity facing the specimen was used to apply a uniform central load through the column stub. A load cell was used to measure the load using four calibrated electrical resistance strain gages fixed to the inner cylinder of the load cell. Linear Variable Displacement Transformers (LVDT’s) were built in the actuator to measure the central deflection of the slabs. The central loads
zyx zyx
Flexural Strengthening of Two-way Slabs 429
were applied using displacement control through a computerized function generator with a rate of 0.25 m d m i n . Strengthening and Loading Procedure
The concrete surface to be strengthened was roughened carefully using a vibrating hammer. Dust and bond inhibiting materials were removed carefully from the concrete and FRP surfaces. The epoxy resin was applied on the concrete and FRP surfaces before bonding. FRP materials were located at the tension side of the slab according to the configuration shown in Figure 1. Fifty percent of the ultimate load carrying capacity of the reference specimens was used as an initial loading for the specimens prior to strengthening. The applied loads were completely removed to represent a state of shoring two-way slabs in the field prior to strengthening. Afterwards, the specimens were removed from the loading frame for strengthening. After one week of curing, the specimens were relocated in the loading frame and were subjected to the central load until failure. K
'x
zy zyxw
..mAddinanal FRF'stnps layer
zyxwv Figure 1: Layout of the flexural-strengthening scheme
TEST RESULTS AND DISCUSSION Ultimate Load Carrying Capacity
Strengthening increases the load capacity of the slabs. Specimens CFRP-F0.35% and GFRP-F-0.35% showed an increase of 44.4% and 38%, respectively in the load capacity over that of the reference specimen, Ref-P-
zyxwv
430 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
0.35%. Moreover, Specimens CFRP-F-0.5% and GFRP-F-0.5% showed an increase of 36.4% and 25.8 %, respectively in the load capacity over that of the reference specimen, Ref-0.5% as shown in Table 1. Table 1: Experimental test results Title
Cracking load, KN 73 84 70 68 80 83
Ref-0.35% Ref-0.5% CFRP-F-0.35% GFRP-F-0.35YO CFRP-F-0.5% GFRP-F-0.5%
Defl. at cracking load, mm 7.00 6.25 7.25 7.69 6.03 6.35
Ultimate load, KN 250 330 361 345 450 415 ~
~~
Defl. at ultimate load, mm 42.0 1 35.57 18.08 27.72 21.03 26.71
Deformational Characteristics The average deflection at the ultimate load of the strengthened specimens was about 0.63 that of the corresponding reference specimens. In general, the strengthened specimens experienced smaller deformation compared to the corresponding reference specimens due to the impact of the brittleness of FRP materials on the overall behaviour of the slabs. Table 1 summarizes the deflection values at first crack load (at the un-strengthened stage) and at the ultimate load for the tested specimens. Figure 2 shows the loaddeflection relationship for the tested specimens.
f"oO
--C
0
5
10
15
zyxwv
zyxw CFRP F 05%
zyxwvuts zyxwvuts 25 30 Deflectionh r n l
20
YI
10
45
I
Figure 2: Load deflection relationship for some of the tested slabs
Failure characteristics The failure mode of the reference specimens was classified as flexuralductile. Flexural reinforcement yielded and the specimens showed relatively large deflection values before reaching the ultimate load. Figure 3 shows a typical failure mode for a specimen strengthened using CFRP for flexural
zyx
zy
Flexural Strengthening of Two-way Slabs 431
and shear strengthening, respectively. FRP materials contributed to increasing the capacity until the bond between the FRP material and concrete had failed. De-bonding cracks appeared at a late stage of the loading causing a separation of the FRP materials as shown in Figure 3. The specimens failed due to accelerated flexural failure following the FRP debonding. Neither CFRP strips nor GFRP laminates fractured.
Figure 3: A tested specimen after failure (CFRP-F-0.5%)
FINITE ELEMENT ANALYSIS Material Modelling
A plasticity-based concrete constitutive model was used in this study'. The model utilizes the classical aspects of the theory of plasticity. A complete representation of the model is defined by considering the following concepts: strain rate decomposition into elastic and inelastic strain rates; elasticity; yield; flow; and hardening. The concrete model in compression is elastic until the initial yield surface limit is reached as shown in Figure 4. The initial yield surface defines the elastic limit at which the linear-elastic constitutive relationships are valid. Further stresses of concrete cause an expansion of the initial yield surface so that new yield surfaces are developed. The constitutive concrete model addresses the tensile behaviour of concrete by considering several aspects. These aspects are cracking, shear modulus degradation, fracture energy, and tension stiffening. Cracking is considered the most significant factor of the concrete tensile behaviour. In the case of plain concrete, the fracture energy, G,. , is defined as the energy
zyx
432 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
zyxwv z zyxw zyxw zy
required to form a unit area of crack surface and is considered a material property based on the brittle fracture concept of Hillerb~rg.~ The fracture energy,G,, is estimated as the numerical integration of the function
between the tensile stress, o t ,and the “crack width” or displacement, uI, for the post-peak zone, i.e.:
zyxwvu
Gf = Jo,du
Compression frulure envelope (surface)
w,f:
i
D
z
‘ -Bt-axial
(1)
zyxwvutsrqp n c6mpresslon
Uni-axial
-
tension
ension
surface
Figure 4: Concrete in compression
Figure 5: Concrete in tension
In the case of reinforced or strengthened concrete, the calculations are made based on the assumption of a smeared crack approach. Cracks exist in reinforced concrete subjected to tensile stresses along with the steel reinforcement. Subsequently, interfacial shear stresses between the concrete and the reinforcement are transmitted to the concrete between cracks as tensile stresses. Hence, concrete bonded to the reinforcement is loaded with tensile stresses causing an increase of the overall stiffness. This phenomenon is referred to as tension stwening. The numerical integration of the o,- E, curve can be referred to as the fracture energy density, Wf.lo Concrete behaviour in tension is linear until the cracking stress is reached. The post-peak zone can be defined using broken lines as shown in Figure 5. It has been decided to define the tension stiffening of concrete by considering only two points on the post-peak zone of the of- E , relationship. The FW-concrete interaction is assumed similar to that of steel reinforcement-concrete interaction. Hence, F W materials are defined as smeared external reinforcement located at the tension side of the slab.
zyx zy zyxwvu zyxwvu zyxwv Flexural Strengthening of Two-way Slabs 433
The concrete crl - E , relationship, and hence the fracture energy density are calibrated. The calibration is based on the agreement of the FEA results and the available experimental results. The agreement is achieved after several FEA implementations for different values of the fracture energy density. This calibration is conducted with respect to the ultimate load carrying capacity of the slabs. For each implementation, the fracture energy density of concrete strengthened with FRP materials is calculated as follows:
zy zyxw &l,mSX
Wr=
zyxwvutsrqponm (2)
0
For the assumed tension stiffening model, the fracture energy density can be calculated as follows:
Wf=3El,may Material Properties
0,"
(3)
The modulus of elasticity of concrete, E,, is calculated as 26600 MPa. The equal biaxial strength of concrete is assumed 1.16 times that of the uniaxial strength of concrete.l 1 The yield stress of concrete is assumed 20 MPa. The tensile strength of concrete, or , is assumed 0.08 times the uniaxial strength of concrete that is equal to 2.8 MPa." The post-peak o,- E, relationship of strengthened or un-strengthened concrete is assumed linear descending to . 'The steel reinforcement is zero tensile stress at maximum strain
assumed to have a yield stress of 440 MPa and a modulus of elasticity of 210 GPa. The assumption of the full bond between FRP materials and concrete is inherited by the definition of these materials as smeared reinforcing layers located at the tension side of the concrete slabs.
Geometric Modelling One quarter of the slab is modelled due to the geometrical and loading symmetry using a 5 x 5 mesh. The general layout of the finite element model is shown in Figure 6 . Degenerated 8-node quadrilateral shear-flexible shell elements with six degrees of freedom at each node are used for modelling the slab. The degrees of freedom are three translations and three rotations. This permits the transverse shear deformation to be accounted for. Nine Simpson-type integration points are used along the thickness of each shell element. In addition, a reduced 2 x 2 Gaussian integration rule is used over the X - Y plane of the elements. Eight-node brick elements are used to
434 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
represent the column stub through which the load is applied. The brick element has three translational degrees of freedom per node in the X, Y , and Z directions. The discrepancy between the degrees of freedom of the column stub brick element and the panel shell elements is overcome using the Multi Point Constraints (MPC) technique. The MPC technique allows constraints to be imposed between different degrees of freedom in the model. Non-linear spring elements define the simply supported with corners free-to-lift boundary condition as in Figure 6 .
Steel Reinforcement and FRP Representation The slab reinforcement is treated as smeared unidirectional layers. These layers are embedded in concrete and located at the centerline of the actual reinforcing bars in the slabs. The layers are smeared with a constant thickness that is equal to the area of each reinforcing bar divided by the reinforcing bars spacing. CFRP strips and GFRP laminates are represented in a similar way to the rebars. FRP materials are treated as smeared unidirectional layers located at the tension surface of concrete. The definition of FRP materials as smeared reinforcement inherits the assumption of full bond with the concrete surface. In addition, the impact of steel reinforcement and FRP materials on the tensile properties of concrete is modelled through the suggested tension stiffening relationship for the FRP strengthened portions of the slab. For the un-strengthened portions of the slab, the tension stiffening model is used as was recommended by Marzouk and Chen.”
zyxwv zyxw
RESULTS OF THE FINITE ELEMENT ANALYSIS Load Carrying Capacity and Deformation
The assumptions of the fracture energy density, W, led to a good agreement between the FEA and the test results in terms of the load carrying capacity as shown in Table 2. The FEA underestimated the values of the deflections for either the strengthened and un-strengthened specimens. The FEA gives a stiffer deformational behaviour compared to the experimental results.
Flexural Strengthening of Two-way Slabs 435
zyxwv
Figure 6: Geometric model layout Table 2: FEA results Title
Pexw
PtheoAW
.P e x d Ptheo
zyxwvutsrqpon CFRP-0.5% GFRP-O.S?'o
450 415
424 416
1.06 1 .oo
S J MMARY AND CONCLUSIONS
The use of strengthening CFRP strips and GFRP laminates with the suggested dimensions were sufficient to achieve positive results for flexural-strengthening of slabs. The strengthened specimens using FRP strips or laminates showed an average gain in the load capacity of about 36% over that of the reference (un-strengthened) specimens. In addition, the strengthened specimens showed a stiffer behaviour than that of the reference specimens. However, a decrease in ductility and energy absorption was recorded due to the brittle nature of the strengthening of the FRP materials. For the suggested strengthening technique, de-bonding between FRP materials and concrete was the main cause of failure. Slabs failed soon after de-bonding occurred due to exceeding flexural capacity. None of the strengthening material type experienced rupture or failure. A finite element model was used to analyze strengthened two-way slabs. The finite element results are calibrated so that a good agreement
zyxw
zy zyxw zyxw
436 FRPRCS-6: Externally Bonded Reinforcement for Flexure
with the experimental results is achieved. The full bond between the steel reinforcement or FRP materials and concrete can be assumed in the analysis and lead to reasonably accurate results with low computational cost. REFERENCES
1. Chaallal, O., Nollet, M. and Perraton, D. “Strengthening of Reinforced Concrete Beams with Externally Bonded Reinforced Plastic Plates: Design Guidelines for Shear and Flexure”, Canadian Journal for Civil Engineering, 25, 1998, pp. 692-704. 2. Ritchie, P., Thomas, D., Lu, L. and Connelly, G., “External Reinforcement of Concrete Beams Using Fiber Reinforced Plastics”, ACI Structural Journal, 88(6), 1991, pp. 490-500. 3. Triantafillou, T. C., “Shear Strengthening of Reinforced Concrete Beams Using Epoxy-Bonded FRP Composites”, ACI Structural Journal, 95 (2), 1998, pp. 107-1 15. 4. Meier, U., Deuring, M., Meier, H. and Schwegler, G., “CFRP Bonded Sheets”, In Proceedings, Fiber-Reinforced-Plastic (FRP) Reinforcement for Concrete Structures: Properties and Applications, Duebendof, Switzerland, 1993, pp. 423-434. 5 . Nitereka, C. and Neale, K., “Analysis of Reinforced Concrete Beams Strengthened in Flexure with Composite Laminates”, Canadian Journal for Civil Engineering, 26, 1999, pp. 646-654. 6. Malek, M. A., Saadatmanesh, H. and Ehsani, M. R., “Prediction of Failure Load of R/C Beams Strengthened with FRP Plate Due to Stress Concentration at The Plate End”, ACI Structural Journal, 95 (l), 1998, pp. 142-152. 7. Kikukawa, K, Mutoh, K., Ohya, H., Ohyama, Y . and Tanaka, H., “Flexural Reinforcement of Concrete Floor Slabs by Carbon Fiber Textiles”, Composite Interfaces, 5 (5), 1998, pp. 469-478. 8. Hibbitt, K. and Sorensen., “ABAQUS Users Manual (Version 6.2.)”, Providence, R. I.: Hibbitt, Kalrsson and Sorensen Inc., 2001. 9. Hillerborg, A., “Numerical Methods to Simulate Softening and Fracture of Concrete”, Fracture Mechanics of Concrete, 1985, pp. 141- 170. 10. Marzouk, H. and Chen, Z., “Finite Element Analysis of High Strength Concrete Slabs”, ACI Structural Journal, 90(5), 1993, pp. 505-5 13. 11. Hussein, A. and Marzouk, H., “Behavior of High Strength Concrete under Biaxial Stresses.” ACI Structural Journal, 1998,97( l), pp. 27-36.
zy
zyxwvutsrq zyxwvu
FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan @WorldScientificPublishing Company
TENSILE PROPERTIES OF CONCRETE IN FRP-STRENGTHENED TWO-WAY SLABS
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H. MARZOUK Faculty of Engineering, Memorial University of Newfoundland 300 Prince Philip Dr., St. John's, Newfoundland, Canada, A l B 3x5
U.A. EBEAD AND K.W. NEALE Department of Civil Engineering, University of Sherbrooke 2500 boulevard de I'Universite', Sherbrooke, Que'bec, Canada, J I K 2RI
Reinforced concrete behaviour in tension can significantly be changed due to strengthening. An overall increase in the post-peak stiffness based on the tensile stress-strain relationship is observed. A simplified bilinear model is introduced to define the behaviour of FRP-strengthened concrete in tension. An expression of the fracture energy density is introduced to define the area under the concrete tensile stress-strain relationship. The tensile stress-strain relationship of concrete is referred to as the tension-stiffening model. It is shown numerically that the ultimate load capacity of two-way slab specimens is sensitive to the fracture energy density. Hence, a distinction has to be made between the definitions of the tension-stiffening model of FRP-strengthened and unstrengthened concrete. This distinction is the focus of this paper.
INTRODUCTION
This paper presents a finite element analysis (FEA) aimed at investigating the effect of FRP strengthening on the tensile properties of concrete. The experimental results of the strengthened slabs are used to calibrate the finite element model based on the ultimate load carrying capacity as presented in reference 1. The calibration FEA study simulates six specimens tested experimentally'. The tested simply supported specimens are square with 1900-mm side length and 150-mm thickness as shown in Figure 1 . Column stubs are square of 250-mm side dimension and are located at the center of the slab. Two unstrengthened specimens are used as reference specimens, Ref-P-0.35% and Ref-P-0.5% of steel reinforcement ratios of 0.35% and 0.5%, respectively. Specimens CFRP-F-0.35% and CFRP-F-0.5% and specimens GFRP-F-0.35% and GFRP-F-0.5% are strengthened using GFRP
zyxw zyxw
438 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
laminates and CFRP strips, respectively. Figure 1 shows the strengthening configuration of the slabs. Details of the experimental program are described in reference 1. The FEA study is carried out using the generalpurpose finite element code ABAQUS.3
12-lOmm
A
zyxwvu zyxw 8-1Omm
I
300 1830
I
1830
I
I 4
I
Figure 1: A schematic representation of a strengthened specimen
FRP Strengthened Two-way Slabs 439
z
CONCRETE CONSTITUTIVE MODEL A plasticity-based concrete constitutive model is used in this study. Details of the concrete constitutive model are described in reference 2. The constitutive concrete model addresses the tensile behaviour of concrete by considering several aspects. These aspects are cracking, shear modulus degradation, fracture energy and tension-stiffening. In this study, an emphasis is placed on the appropriate tensile behaviour of concrete in two-way slabs strengthened with externally-bonded FRPs. Concrete bonded to the reinforcement or FRP materials is loaded with tensile stresses causing an increase of the overall stiffness. In addition, the distribution of cracks in the concrete is dependent on whether the concrete is plain or reinforcedstrengthened. The term tension-stiffening is introduced in the finite element analysis to consider the effect of the steel or FRP reinforcement on the concrete tensile behaviour. In the case of plain concrete, the fracture energy, Gr , is defined as the energy required to form a unit area of crack surface and is considered a material property based on the brittle fracture concept of Hillerb~rg.~ The fracture energy,Gf, is estimated as the numerical integration of the
zyx zyx z zyx zyxwvu zyxwvu
function between the tensile stress, cr,, and the “crack width” or displacement, uI, for the post-peak zone of the
0 ,-
u, relationship, that is.,
Gr = 10,dU
In finite element simulations that adopt the smeared crack approach like the one in this study, the tensile stress-strain relationship rather than stressdisplacement relationship is referred to when describing the concrete tensile behaviour. Some expressions have been developed to correlate the post-peak stress and strain for concrete in tension. Based on some experimental evidence on high strength concrete4, it was found that the post-peak relationship is referred to may be defined according to the following relationship: For E , & , ~
where:
zyxw zyxwv zyxw
zyxwvu z zyxwvutsrq
440 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
a =c30,"
where E, is the concrete tensile strain and E
(3) , is ~ the concrete tensile strain at
cr = 0,". In addition, the value of c3 is 0.3 1 for normal strength concrete'
and modified to 0.28 for high strength concrete4. Also, p is equal to 1.70 for normal strength concrete and 1.67 for high strength concrete. In this analysis, the effect of the reinforcement ratio as well as whether the concrete is strengthened or not is considered. The post-peak zone can be defined using line segments rather than a continuous relation~hip.~.~ A tabulated form for the values of the tensile stress,o, ,and the tensile strain, E , , can be used to define the tension-stiffening model. It has been decided to define the tension-stiffening of concrete by considering only two points on the post-peak zone of the 0,- E , relationship as shown in Figure 2. The numerical integration of the concrete tensile stress-strain ( 0, - E, )
zyxwv z
relationship represents the fracture energy density, Wr , and can be calculated as follows:6 6,IIl.X
zyxwvutsrqpon
W f =J o , ~ E ,
(4)
0
where
E,,,,
is the tensile strain when the tensile stress vanishes.
Denoting the maximum tensile stresso: and based on this approach, the fractur; energy density, W,can be calculated as follows:
With respect to the properties of the materials, the modulus of elasticity of concrete, E,, is calculated as 26600 MPa. The equal biaxial strength of concrete in compression is assumed 1.16 times that of the uniaxial compressive ~ t r e n g t hThe . ~ yield stress of concrete is assumed 20 MPa. The tensile strength of concrete, 0: , is assumed 0.08 times the uniaxial strength of concrete, that is equal to 2.8 MPa.4 The post-peak 0, - E, relationship of strengthened or unstrengthened concrete is assumed linear descending to zero tensile stress at the maximum strain E , , , ~ . The steel reinforcement is assumed to have a yield stress of 440 MPa and a modulus of elasticity of
zyxw zy
FRP Strengthened Two-Way Slabs 441
zy
210 GPa. The assumption of the full bond between FRP materials and concrete is implicit by defining these materials as smeared reinforcing layers located at the tension side of the concrete slabs. Details of this stage of the finite element analysis can be found in reference 1 including the geometric modeling and steel and FRP materials representation.
I
zyxwvutsrqpon zyxw Attempt 1 Attempt 2 Attempt 3 Attempt 4
Tensile strain, E t
zyx
Attempt 5
zyx
Figure 2: Tension-stiffening model
In this FEA study, the
0,
-
E,
relationship, and hence the fracture
energy density, W, are calibrated. Values of ,m are assumed upon which the fracture energy density, W, is calculated according to Equation 5 and altered accordingly. The calibration is based on the agreement of the FEA results and the available experimental results. Several attempts are implemented in the finite element code by altering the definition of the tension-stiffening model. Altering the definition of the tension-stiffening model is done by changing the values of&,,,, and hence the area under the bilinear relationship that is the fracture energy density, W,. This calibration is conducted with respect to the ultimate load carrying capacity of the slabs. Table 1 shows the FEA calibration implementation of the attempts for different values of E,,,, . This table shows a comparison between the ultimate capacity of the slabs based on the experimental testing, P,, and on the FEA, PFEA.
zyxw zyx ble 1 Properties 442 FRPRCS-6: Externally Bonded Reinforcement f o r Flexure
Table 1: The FEA calibration runs
Ta
ble 1 Properties ble 1 Properties ble 1 Properties ble 1 Properties ble 1 Properties ble 1 Properties ble 1 Properties
Ta
Ta
Ta
Ta
Ta
Ta
Ta
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zyxwv zyxw zy FRP Strengthened Two-way Slabs 443
Tensile Stress-Strain Relationships
Figures 3 and 4 show the tensile stress-strain relationships for specimens of the calibration study at the center of the slab based on the FEA. It is clear that, due to the contribution of FRP strengthening materials, the post-peak behaviour of slabs is stiffened. The slope of the tensile stress-tensile strain is decreased in the post-peak zone indicating the contribution of the FRP strengthening materials in increasing the post-peak stiffness of concrete in tension. The stiffened post-peak tensile stress-strain relationship leads to higher values of fracture energy density, W, within a certain range of the strain. This complies with the initial assumptions of the fracture energy density shown in Table 1. 2.5
-
2
a
r_ 2
zyxwvutsr +GFRP-F-0.35%
1.5
g
2
1
c I!?!
0.5
a
0.001
0.002
0.003
0.004
0.005
Tensile strain
Figure 3: Tensile behaviour for GFRP strengthened slabs at the slab center 2.5 -
2
a
z3 1.5 5 .-s 1 Lo
C
I-
0.5 0 0
0.001
0.002
0.003
0.004
0.005
Tensile strain
Figure 4: Tensile behaviour for CFRP strengthened slabs at the slab center
444 FRPRCS-6: Externally Bonded Reinforcementfor Flexure
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SUMMARY AND CONCLUSIONS In this paper, a finite element analysis is presented. A calibration study is conducted on a finite element model and is used to analyze FRPstrengthened two-way slabs. The finite element results are calibrated so that a good agreement with the experimental results is achieved. An FRP tension-stiffening model is recommended to predict the complete behaviour of concrete in tension. The recommended model describes the tensile behaviour of concrete slabs strengthened using FRP materials. The model takes a form of a bilinear relationship between the tensile stress and tensile strain. It was found that a distinction had to be made between the plain, reinforced and strengthened concrete tensile behaviour when defining the tension-stiffening model. FRP-strengthened concrete exhibits a stiffer postpeak response than conventional reinforced concrete. REFERENCES 1.
2. 3. 4. 5. 6. 7.
Ebead, U., Marzouk, H. and Neale, K.W., “Flexural strengthening of two-way slabs using FRPs”, 6’ International Symposium on FibreReinforced Polymer Reinforcement for Concrete Structures (FWRCS6), 2003. Hibbitt, K. and Sorensen., “ABAQUS users manual (Version 6.2)”, Providence, R. I.: Hibbitt, Kalrsson and Sorensen Inc., 2001. Hillerborg, A., “Numerical methods to simulate softening and fracture of concrete”, Fracture Mechanics of Concrete, 1985, pp. 141-170. Marzouk, H. and Chen, Z. M., “Fracture energy and tension properties of high strength concrete”, Journal of Materials in Civil Engineering, 1995,7(2), 108-1 16. Guo, 2. and Zhang, X., “Investigation of complete stress-deformation curves for concrete in tension”, ACI Materials Journal, 1987, 84(4), pp. 278-285. Marzouk, H. and Chen, Z., “Finite element analysis of high strength concrete slabs”, ACI Structural Journal, 90(5), 1993, pp. 505-5 13. Hussein, A. and Marzouk, H., “Behaviour of high strength concrete under biaxial stresses”, ACI Structural Journal, 1998,97( l), pp. 27-36.
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ExternallyBo Bonded Reinforcement for Shear Externally
z
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan @World Scientific Publishing Company
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SHEAR CRITICAL REINFORCED CONCRETE BEAMS STRENGTHENED WITH CFRP STRAPS G. KESSE AND J. M. LEES Cambridge University Engineering Department, Trumpington Street, Cambridge, CB2 IPZ, United Kingdom
This paper reports on the strengthening of shear critical reinforced concrete beams with pre-stressed Carbon Fibre Reinforced Polymer (CFRP) straps. The straps can be used to enhance the shear capacity of beams and to change the mode of failure from shear to flexure. In the experimental programme, reinforced concrete cantilever beams were tested with or without straps for a particular shear span to depth ratio. The main parameters that were varied during the experiments were: the number of straps, the strap location, the level of pre-stress and the existing crack state. The experimental results are presented and discussed and conclusions drawn regarding the potential shear capacity enhancement, the stiffness improvement and the change in failure mode due to the presence of the straps.
INTRODUCTION
Throughout the world, an increasing number of reinforced concrete (RC) structures are being assessed as having inadequate shear capacity. The reasons for this include, design codes used in earlier years being less stringent than today’s standards and, in some cases deterioration of the internal steel reinforcement. Even for structures designed adequately, loads greater than the design capacity are being applied and thus the structures have been rendered unsafe. Such structures must be strengthened in order to serve their intended purpose. External Prestressed Carbon Fibre Reinforced Polymer (CFRP) straps provide a means of increasing the shear capacity of a concrete beam. The straps are closed loops formed from CFRP tape. The straps are installed at a specified spacing within the shear span and then prestressed. Experiments by researchers at the Swiss Federal Laboratories for Materials Testing and Research (EMPA)’ and the University of Cambridge’ have shown that the shear capacity of RC beams can be enhanced using this system and the mode of failure changed from shear to flexure. The straps do not corrode and hence offer a further advantage in aggressive environments. However, the material is brittle and thus all the parameters that govern the behaviour must
448 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
be fully understood. The key parameters are the level of prestress, the number of straps required, the strap spacing and the number of tape layers in the strap. An additional factor is that, in previous studies, the straps have been installed before any external loading was applied. This is not necessarily representative of existing beams which might have sustained some damage prior to being strengthened or repaired. This paper reports on experimental work where the strap locations and the number of layers in the straps were varied. The purpose was to determine how these factors influence RC beams failing in shear and the resulting modes of failure. Work on pre-cracked or damaged beams will also be discussed.
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EXPERIMENTS
Rectangular cantilever beams of dimensions 1200 mm x 105 mm x 280 mm were designed for this series of experiments. The support block had dimensions of 600 mm x 105 mm x 300 mm as shown in Figure 1. The cantilever shape was chosen in preference to a conventional simply supported beam because it presented a single shear span that furnishes less voluminous data while enabling the detailed monitoring of cracks and beam behaviour. In addition, the fabrication and testing procedures were greatly simplified.
100.0
applied load
Steel pad
General layout Figure 1. Beam layout with 2 straps
c105.0
Section
z
Shear Critical RC Beams with CFRP Straps 449
Figure 1 also shows the beam layout and reinforcement details. Electronic strain gauges were attached to the longitudinal tension steel and the internal shear links. The mix design and the properties of the reinforcement are given in Table 1. The beams were installed in the testing frame approximately 7 days after casting (see Figure 2a).
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Table 1. Material DroDerties and reinforcement details
Reinforcement details
I
Dia. (mm) Bar 4 6
I
Location
Shear links: Beams 2-8 Shear links: Beam 1 Beam -tension and 12 compression Beam -tension 16 reinforcement Tape for straps
Youngs Modulus = 130000 N/mm’ Ultimate strain = 11000 micro strain Thickness = 0.16 mm.Width = 12 mm
Area of Steel(mm2)
Yield Stress (N/mm2)
25.12 @, 200c/c 6 1.56@,75c/c
395 400
226.22
500
402.17
500 Concrete
Max aggregate size 10 mm Concrete mix: 1:2:2
Forming and prestressing of the CFRP straps The prestressing material comes in the form of a tape consisting of unidirectional carbon fibres in a thermoplastic matrix. The thickness of the tape is approximately 0.16 mm with a width of 12 mm. To form a strap, the tape is wound around the beam web until the desired number of layers is obtained. The outermost two layers of the strap are welded together but the inner layers remain non-laminated. Strain gauges were attached to the outer layer of each strap. The prestressing procedure involves an arrangement as shown in Fig 2b. The strap is jacked upwards, and then metal shims inserted underneath the space created below the lower steel plate. When the required prestress has been attained, the jack is released and the steel pad then rests on the shims. EXPERIMENTAL RESULTS The loading was applied vertically upwards in increments of 1.5 kN. After each load increment, the crack pattern was marked and photographs taken.
450 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
Figure 2a. Beam in testing frame
Figure 2b. Arrangement for prestressing
The experiments were arranged in three major stages. The first stage involved testing un-strengthened beams to establish the minimum and maximum beam capacities and failure modes. In the second stage, strengthened beams were tested. The key parameters under investigation were the number of layers of tape, the number of straps and the strap spacing. The final stage considered damaged beams where the beams were cracked before the straps were installed. A summary of the experimental programme, results and failure modes can be found in Table 2. For comparison purposes, the strap strengthening increment predicted using the 45" truss analogy* is also shown (*the approach assumes the use of passive ductile materials and may be inappropriate for prestressed CFRP straps).
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Table 2. Summary of test results
ble 1 Properties ble 1 Properties ble 1 Properties ble 1 Properties
Ta
Ta
Ta
Ta
Beam number
B 1-NS-NL B2-NS-NL B3-2s-10L B4-1S-5L B5-1s-5L-P B6-2s-10L-F B7-1 S-1 OL B8-2S-5L
ieam number-no. straps-nolayers-; P denotes a precracked beam. F-flexural failure; DT diagonal tension failure; S strap failul e.
zyx zy
Figure 3 shows the load versus displacement (measured directly on top of the loading point) curves for all the beams tested. Beams 1 and 2 were used to establish the maximum and the minimum beam capacities in terms of flexural failure and shear failure. Beam 1 was tested at d d = 4.5 and
z zyxwv zyxwv Shear Critical RC Beams with CFRP Straps 451
contained 6 mm shear links at 75 mm centers whilst the rest of the beams were all tested at d d = 3.0 with the shear reinforcement as shown in Figure 1 (4 mm links at 200 mm centers). Beam 1 failed in flexure with the yielding of the tension reinforcement before the crushing of concrete. The load displacement curve has been omitted from Figure 3 for ease of comparison. Beam 2 failed in shear. The outermost shear crack developed and propagated resulting in the failure of the beam by the splitting of the compression zone (Figure 4a). For the strengthened beams, the initial beam behaviour was similar to that of the un-strengthened beams in terms of the stiffness and crack pattern. For the beams with 1 strap, the strap was located in the middle of the shear span (345 mm from support block) whilst for beams with 2 straps, the straps were equally spaced within the shear span (230 mm apart). Beams 4 and 8 both failed in shear with the shear crack crossing the strap followed by the snapping of the strap. Beam 7 also failed in shear but the strap did not break since the shear crack formed between the strap and the support block leading to failure in the concrete. Beam 3 attained its full flexural capacity and crushing of concrete occurred at the corner between the beam and support. Snapping of the first strap followed flexural failure. In the case of the pre-cracked beams (B5 and B6), the beams were initially loaded to about 34 kN (i.e. 70% of unstrengthened beam’s shear ultimate capacity) and then unloaded before the straps were installed. The beams were then loaded until failure.
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120
100
-5 m
0 J
zyxwvutsrq zy 80
60
40 20
0
0
2
4
6
8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 Displacement (m m)
Figure. 3. Load versus displacement curves
452 FRPRCS-6: Externally Bonded Reinforcement for Shear
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DISCUSSION The strengthened beams were significantly stronger (55 to 100%) than the unstrengthened beam. The straps are not bonded to the concrete and act like a tie inducing transverse compression through the web of a beam. The strain in a strap leg is thus uniform but the prestress force and the stiffness of the straps will differ depending on the number of layers of tape used. Since all the straps were prestressed to 50% of their ultimate capacity, straps made of 5 layers of tape had an initial prestress of 12.5 kN whilst the 10 layer straps had an initial prestress of 25 kN. In addition, the stiffness of the 10 layer straps was twice that of the 5 layer straps.
zy z zyxwvu
Influence of the number of layers Beams with 1 strap
Beam 4 and beam 7 both had a single strap installed in the middle of the shear span and prestressed to 50% of the strap capacity. Figures 4b and 4c show the crack pattern when the applied load reached 65 kN. It could be observed that the outer shear crack for beam 7 could not develop as far as that of beam 4 and the stiffer 10-layer strap managed to reduce the progress of this crack. In contrast, the crack in beam 4 quickly progressed beyond the strap. The failure mode of beam 7 suggests that the 10-layer strap stopped the shear crack between the strap and the loading point from developing. On the other hand, it had a limited influence on the crack between the support and the strap and thus the beam failed due to this crack. For beam 4 the strap did not exert as much influence on the outer crack. Nevertheless, final failure occurred at a load of 81 kN which was higher than the shear capacity of the unstrengthened beam.
Beams with 2 straps Beam 3 and beam 8 had 2 straps installed from the beginning of the test with 10 and 5 layers respectively. Whilst beam 3 failed in flexure, beam 8 failed in shear. The crack progress can be observed from the traced crack pattern (Figures 4d and 4e). Up to 50 kN, the two beams behaved in the same manner and the crack pattern looked very similar. But when the crack crossed the straps, the straps had a strong influence on the crack progress. It could be observed that the cracks in beam 8 had progressed about twice the distance of that of beam 3.
Shear Critical RC Beams with CFRP Straps 453
(el
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I '
I
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Figure 4. Beam crack patterns at specified loads (a) Beam 2 at 48 kN (b) Beam 4 at 65 kN (c) Beam 7 at 65 kN (d) Beam 8 at 65 kN and (e) Beam 3 at 65 kN
454 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
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The prestress force applied to the concrete and the stiffness of the straps thus control the rate of crack growth and also influence the mode of failure. However, when a particular strap retards crack progress, other cracks in unstrengthened regions remain free to grow and can lead to beam failure. The influence of the strap spacing will be discussed in the next section. As beam 3 failed in flexure it can also be concluded that the straps can effectively enhance the shear capacity and change the mode of failure.
Influence of number of straps /strap spacing
The 45" truss analogy would predict that a single strap would be ineffective. However, even beams with a single strap showed a capacity increase.
Beams with 5 layer straps
Beams 4 and 8 each had 5 layer straps but whereas beam 8 had two straps, beam 4 had only one. The load deformation curves (Figure 5 ) show both beams attaining almost the same load capacity and both failing in shear. Although the beams had a different number of straps, the difference in behaviour was not significant due to the nature of the failures.
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90 7 80 70 z 60 5 50 40 -I 30 20
3
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6 8 10 12 14 Displacement (m m)
16
18
20
Figure 5. Comparison of beams with 5-layer straps
Beam 4 had a single strap a distance 1.5d from the support and a crack developed between the support and the strap. The strap was also not able to stop the outer crack from developing and crossing through the strap. As a result, these two cracks lead to failure of the beam. On the other hand, beam 8 had two straps. The location of the first strap was such that it stopped the first crack from developing. The second strap
Shear Critical RC Beams with CFRP Straps 455
zy zyxwvu zyxwvu zyxwvut
also limited the propagation of the outer crack. However, the section in between the straps was unstrengthened and the crack that developed in this region easily then passed through the first strap to fail the beam. The result suggests that the importance of the strap spacing is connected to the stiffness of the straps. For the beams with the lower stiffness 5 layer straps, the final crack pattern and ultimate shear capacity were similar regardless of the strap spacing. Beams with I0 layer straps
Beams 3 and 7 both had 10-layer straps but the number of straps differed. The load deflection curves show beam 3 failing in flexure whilst beam 7 failed in shear (see Figure 6). The 2 straps of beam 3 managed to control the crack growth whilst the single strap of beam 7 did not restrain the propagation of the inner shear crack leading to the failure of the beam in shear. 110 100
90 80 70 60
50 40 30 20 10 0
I
0
zyxwvut 5
10
15 20 25 Displacement (m m )
30
35
40
Figure 6. Comparison of beams with 10-layer straps
Since the unstrengthened beam failed by the propagation of the outermost shear crack (see Figure 4a) and it is reasonable to assume that stopping this outer crack might be sufficient to prevent shear failure. However, the tests show that although this can be achieved, failure may develop in adjacent unstrengthened regions in later stages of testing. Hence, provided that the stiffnesses of the straps were adequate, two straps spaced at a distance d apart were more effective. Pre- cracked beams
From the load displacement curves (see Figure 3 ) the peak loads did not change significantly for the pre-cracked beams but the stiffnesses of these
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456 FRPRCS-6: Externally Bonded Reinforcement for Shear
beams were lower than those of beams with straps applied at the beginning of the test. This was expected as the pre-cracking induced some permanent damage before strapping. The ability of the pre-cracked beam to attain the same peak load could be a function of the load to which the beam was initially subjected. From strain readings taken from the internal steel links, the links were not carrying much load in the preloading stage and thus the beam had not sustained significant damage. The prestressed straps will also help close any existing cracks and thus it could be that the influence of existing damage is mitigated, The influence of existing cracks in a passive system may well be different. Tests are continuing where the pre-crack load will be higher than that used in the earlier tests.
CONCLUSIONS
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Based on the experiments carried out to date, all of the beams tested with straps, whether single or double and irrespective of the number of strap layers, had a shear capacity enhancement at least 55% higher than that of an equivalent unstrengthened beam. All of the beams with a single strap failed in shear whilst some of the beams with two straps attained their full flexural capacity. The pre-cracking of the beams before installing the straps seems to have no significant influence on the shear capacity gain. The crack path does not appear be influenced significantly by the straps however the crack growth and widths are reduced due to the presence of the straps. The mode of failure depends on the strap stiffness, the strap location and the crack path. Further tests are being carried out to separate the effect of the prestress force and the stiffness of the straps.
ACKNOWLEDGEMENTS
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The authors are grateful to EMPA for their support with this project.
REFERENCES
1. Lees, J.M., WinistBrfer A.U. and Meier U., “External Prestressed CFRP Straps for the Shear Enhancement of Concrete ”, ASCE, Journal of Compositesfor Construction, 6(4), Nov 2002. pp. 249-256 2. Chan, K.M.C., Prestressed Non-laminated Carbon Fibre Reinforced Plastic Straps, Fourth Year Project Report, Dept. of Engineering, University of Cambridge, UK, 1999/2000.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan QWorld Scientific Publishing Company
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EFFECTIVE SHEAR STRENGTHENING OF CONCRETE BEAMS USING FRP SHEETS WITH BONDED ANCHORAGE
zyxwvu B. B. ADHIKARY Frank Lam &Associates, Austin, Texas, USA
H. MUTSUYOSHI Department of Civil and Env. Engineering, Saitama University, Saitama, Japan M. ASHRAF Engineering Associates (EA) Pvt. Ltd., Karachi, Pakistan This paper presents the results of an experimental study for shear strengthening of reinforced concrete beams using externally bonded FRP sheets. The study focused on effect of bonded anchorage of sheets in delaying or preventing sheet debonding. Three different models to estimate the contribution of FRP to the shear capacity (V’) of RC beams are discussed and two separate equations to calculate V’are presented.
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INTRODUCTION
From the past studies conducted by Chaallal et al.’, Chajes et a1.*, Sat0 et aL3, and Uji 4, it has been shown that externally bonded FRP can be used to enhance the shear capacity of RC beams. Bond of FRP sheets to concrete is of critical importance for the effectiveness of externally bonded FRP sheets. If this interfacial bond is compromised before rupture of the FRP sheets, sheet-debonding failure occurs. This study presents the shear behavior of RC beams strengthened with FRP sheets. Special focus is given for the prevention of sheet debonding to get effective utilization of FRP’s mechanical properties. Anchorage of FRP sheets at the top surface of the beam was provided in order to delay or prevent sheet debonding. Three models available in the literature by the JSCE’, Khalifa et aL6, and Triantafillou and Antonopoulos7 for computing the contribution of FRP sheet to the shear capacity of strengthened beams (5) are presented and compared with the experimental results. Two separate equations to calculate V,are presented in this paper; when failure is likely to occur due to sheet debonding and when bonded anchorage of FRP sheet is provided to the beams.
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458 FRPRCS-6: Externally Bonded Reinforcement for Shear
EXPERIMENTAL PROGRAM
a. Cross section
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b. Longitudinal section (Dimensions are in mm)
Figure 1 Details of test beams
A total of nine beams were tested. Figure 1 shows the typical dimensions and reinforcement layout for RC beams. No stirrups were provided in the potential shear failure zone. Longitudinal bars had an average yield strength of 395 MPa and elastic modulus of 196 GPa. The cross sections of beams were chamfered at 30-mm for AFRP strengthened beams, and the chamfered edges were further smoothened in round shape at 100-mm diameter for CFRP strengthened beams. Beam B-1 was kept as a control beam. Eight beams were categorized into two series as CFRP series and AFRP series. The beams were strengthened with epoxy bonded unidirectional FRP sheets applied only to the shear spans, where principal fibers were kept perpendicular to the longitudinal axis of the beams. Mechanical properties of FRP sheets are shown in Table 1. Test variables were FRP type, wrapping layout and anchorage length. Anchorage was provided by bonding a length of sheet at top of the beam. Figure 2 shows the different wrapping schemes used.
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Table 1. Mechanical properties of FRP sheets Sheet
CFRP AFRP
Thickness (mm) 0.167 0.286
Tensile strength WPa) 3400 2000
Elastic modulus (GPa) 230 120
Ultimate elongation (%) 1.5 1.8
z
Shear Strengthening with Bonded Anchorage 459 zyxwvut
AFRP-SERIES
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1zyxwv A - I (AFRP1
(U.W r a p )
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(80
AFRP
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rl 0 A-3 (AFRP)
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( I 1 0 mm anchorage) 100
H
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% % i% ,!F(
Figure 2 Experimental test scheme (Dimensions in mm)
TEST RESULTS AND DISCUSSION
Figure 3 Sheet debonding in beam C-1
Figure 4 Concrete splitting in beam C-2
Control beam B-1 failed in shear at a load of 224 kN. All other beams, except C-4 and A-4 failed also in shear at considerably higher loads than that of control beam B-1. The ultimate failure loads, contribution of FRP
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460 FRPRCS-6: Externally Bonded Reinforcementfor Shear
sheet to the shear capacity of RC beam (Q),and increase in shear capacity are shown in Table 2. It is confirmed that the FRP sheets applied on shear spans not only increase the shear capacity, but also change the deflection characteristics of beams. It is also found that the bonded anchorage of FRP sheet not only increases the shear capacity, but also changes the ultimate failure mode from sheet debonding to concrete splitting or flexure. Beams C-1 and A-1 , which were strengthened using U-wrap of CFRP and AFRP sheets, respectively failed in shear followed by debonding of sheet (Figure 3). Beams C-2 and A-2 failed by concrete splitting (Figure 4). Beams C-4 and A-4 strengthened by full wrapping of CFRP and AFRP sheets failed in flexural mode.
zyxwvut zy Table 2. Experimental results
Beam
fc 'Shear b ~ f Increase Failure mode (MPa) strength (kN) (kN) (%) B-1 38.0 224 diagonal shear C-1 37.2 330 53 47.3 shear + debonding C-2 41.0 457 116.5 104.0 shear + splitting C-3 41.1 475 125.5 112.0 shear f splitting C-4 42.4 500 138 123.2' flexure A-I 39.6 3 10 43 38.4 shear + debonding A-2 41.8 400 88 78.6 shear + splitting A-3 43.9 490 133 118.8 shear + splitting A-4 43.5 488 132 117.9' flexure ' Shear strength of beam is equal to half the failure load; bVfisFRP contribution to the shear capacity of RC beam; is the percentage increase in failure load.
f Figure 5 Load displacement (CFRP)
Figure 6 Load displacement (AFRP)
Figure 5 and Figure 6 show the load displacement relationships for CFRP and AFRP strengthened beams, respectively. Each superior strengthening scheme showed better load-displacement characteristics than the previous
Shear Strengthening with Bonded Anchorage 461
one. Figure 7 and Figure 8 show the relationship of load and vertical strain in FRP sheet for CFRP and AFRP strengthened beams. Maximum FRP strain parallel to the fibers was measured as 6825 and 8225 microstrain for beams C-4 and A-4, which is about 45% of the ultimate strain of the sheets. Moreover, maximum FRP strain in beam C-1 is 3550 microstrain, which is only 23.7% of the ultimate FRP strain, while for beam C-2, a strain of 6045 microstrain was attained, which is 70.28% increase as compared to the control beam C-1 . This substantial increase in FRP strain in beam C-2 is due to the provision of bonded anchorage. Table 3 shows FRP strain and percentage increase in FRP strain for beams with provision of bonded anchorage as compared to U-wrapped beams.
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FRP sheet Stran (micron)
FRPshed strain (mcron)
Figure 7 Load-FRP strain (CFRP series) Figure 8 Load-FRP strain (AFRP series) I
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-Trend
AFRP-Series line (CFRP-series)
- - - -Trend
100
110
200
B o nd eA anchorage iengI h (m)
Figure 9 Anchorage length vs. bond stress
210
,000
4000
I000
6000
line(AFRP-series) 7000
moo
'1000
MaximmFRPsIrain (micron)
Figure 10 Failure load versus maximum FRP strain
For beams C-1 and A-1 failure was governed by to sheet debonding, therefore measured bond stress for beams C-1 and A-1 may be taken as bond strength. This was found to be 4.05 MPa. Beams with bonded anchorage did not show sheet debonding at ultimate failure due to reduction in bond stress at the interface. Influence of bonded anchorage on interface bond stresses is shown in Figure 9.
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462 FRPRCS-6: Externally Bonded Reinforcementfor Shear
Table 3. Maximum FRP strain
Beam
Anchorage Maximum FRP ahcrease in FRP Max. FRP strain / (mm) strain (p) strain (%) Ult. FRP strain c-1 0 3550 0.277 c-2 80 6045 70.3 0.403 c-3 110 6368 79.4 0.425 c-4 200 6825 92.3 0.455 A-1 0 3420 0.19 A-2 80 7063 106.5 0.392 A-3 110 7825 129.0 0.435 A-4 200 8225 140.5 0.457 a Increase compared to C-1 and A-1 for CFRP and AFRP series, respectively.
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FRF' SHEET CONTRIBUTION TO SHEAR CAPACITY
The shear strength of RC beams strengthened using externally bonded FRP sheets is computed by Eq. (1). The FRP reinforcement is treated in analogy to the internal steel if it is assumed that FRP develops an effective strain (qe) that is less than the tensile failure strain (qu). Therefore, Vf for FRP sheets can be calculated by Eq. (2).
V, = pf Ef qedfbw(sin p +COS
p)
(2)
Khalifa et a1.6 proposed to use a reduction factor, R to ultimate strain to calculate the effective strain in the sheet. They suggested two equations for R to represent two possible failure modes of FRP bonded beams, namely FRP rupture and FRP debonding. The effective strain is computed using the lowest value of R. Triantafillou and Antonopoulos7 proposed three different expressions to calculate the effective FRP strain. After computing the effective strain, qe,the contribution of FRP sheet to the shear capacity can be calculated from Eq. (2) with a multiplying factor of 0.9. Japan Society of Civil Engineers (JSCE)5 proposes to use a coefficient called shear reinforcing efficiency of the FRP sheet to evaluate the ultimate mean stress of sheet and to determine the shear contribution of the sheet. Table 4 shows the comparison of predicted and experimental values of V,. It is seen that none of the models is able to predict V,correctly.
zyxwvu zyx zyx Shear Strengthening with Bonded Anchorage 463
Table 4.Comparison between the calculated and experimental V, (kN) Beam no. C-I A-I c-4 A-4
Khalifa et al. 60.4 (1.14) 67.1 (1.56)
JSCE
Triantafllou and Antonopoulos 72.3 (1.36)
Experiment
53.0 43 .O 137.6 (1.00) 154.8 (1.12) 138.0 85.3 (0.65) 156.0 (1.18) 132.0 Number in parenthesis is ratio of values from formula to that of experiment.
PROPOSED DESIGN EQUATION
Experiment showed that the U-wrapped beams failed due to sheet debonding. Bonded anchorage resulted in more than 100% increase in FRP effective strain and consequently in higher shear capacity. Shear capacity of RC beams was found to be linearly proportional to the FRP strain measured at failure (Figure lo). Past studies showed that effective strain in FRP sheet depends on the product of elastic modulus and thickness of the FRP sheet. Besides, bond strength of FRP to concrete also depends on the tensile strength of concrete, consequently to its compressive strength. 1.5
1.2
zy zyxwvutsrqp
0.6
0.3
0.1
0.2
zyxwv 0.3
0.4
0.5
0.6
P/Ed (0.2f:”)
Figure 1 1 Model calibration for effective strain
In this study, past experiment^^‘^ on shear strengthening using externally bonded FRP sheets and strips are used to calibrate an equation for estimation of effective strain in FRP sheet at debonding failure. Only those experimental results are used in which RC beams failed in diagonal shear followed by FRP debonding. The value of pf Ef/(0.2.,2/3)is plotted versus t+‘zfu as shown in Figure 11. This relation can be obtained from a best-fit power-type curve to the experimental data, given by Eq. (3).
464 FRPRCS-6: Externally Bonded Reinforcement for Shear
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Eq. (3) is derived using most of the data for CFRP sheetslstrips, which is a function of axial rigidity of FRP and tensile strength of concrete. Therefore, the same equation is used for AFRP sheetdstrips using a factor of 0.9. 1
&/el
- 0.034f
EfU
-
(for AFRP Sheet)
JZ
(4)
It is seen that the additional bonded anchorage of sheet resulted in substantial increase in FRP strain. The increase in effective strain due to is related to a non-dimensional parameter ldb,, bonded anchorage (~3,~) which is given by fitting a best curve to the test results. Effective strain in FRP is equal to the sum of effective strain in FRP in debonding mode ( % I ) and increase in effective strain in FRP ( q k 2 ) due to bonded anchorage. Since four beams tested with bonded anchorage failed due to concrete splitting, the compressive strength of concrete (f',) is also considered while estimating q e 2 .
For CFRP sheet: I
10,000 Shear F,, = failure/max load; 6,, = failure/max deflection; w, = max. crack width; ~rn, = max. measured strain in flexural reinforcement; E~~~ = max. measured strain in shear reinforcement; S = steel; G = glass FRP; C = carbon FRF' values shown correspond to failure obtained with the large spacing of shear links as specified in Table 1 smcm
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520 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
Strain values recorded both in the GFRP flexural reinforcement and in the externally applied shear reinforcement always exceeded the limit of 2,000/2,500 p~ assumed by most current recommendations for shear design with FRP reinforcement, thereby confirming the conservative nature of Maximum strain values, ranging from these existing 10,000 ps to around 20,000 ps for GFRP and from 9,000 ps to 10,000 p~ for CFRP, were recorded in the shear reinforcement. Decomposition of the shear resisting components was also performed on the test beams (Figures 3 and 4) in an attempt to identify the contributions of the basic shear carrying mechanisms. The component of shear resisted by the shear links was determined by considering the number of effective shear links crossing the crack that induced the ultimate failure and assuming a uniform distribution of strain within each link, equal to the maximum strain recorded in that link at each stage of loading. The concrete contribution was then determined by subtracting the contribution of the shear links from the total shear capacity.
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3 50
c v)
40
00 pstrain (shear rlment)
30
00 pstrain (shear rlrnent)
20
10
0
0
2
4
6
8 10 Displacement (mm)
Figure 3 . Estimate of the shear resisting components for SB40R
After initial loading of beam GB43R (see Figure 4) it became clear from strain readings that the desired shear failure might not develop. The beam was therefore unloaded and alternate shear links were cut to halve the amount of shear reinforcement, as reported in Table 1. The c.ontribution of concrete and shear reinforcement to the total shear resistance of GB43R in this latter stage of loading is represented by the shaded (dark) and un-shaded area below the dashed curves, respectively.
Shear Design Equations f o r FRP RC Beams 521 zyxwvuts
The shear load-deflection curves for the beams un-reinforced in shear (SB40 and GB43) are shown alongside those for the reinforced beams to facilitate comparison in terms of concrete shear resistance. In Figures 3 and 4, the critical values of strain recorded in both the flexural reinforcement and shear reinforcement are represented with vertical and horizontal dotted lines respectively.
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e
60
9 50
.c
c/)
40
30
(shear rlrnent - 1"+2"dcycles)
(shear rlment
- 1"'+2"* cycle
20 10
0
Figure 4.
I
Estimate of the shear resisting components for GB43R during the lstand 2"d cycles (solid lines) and the 3rd cycle (dashed lines)
From the analysis of the results, it appears that the shear carrying mechanisms are mobilised in a comparable manner in GFRP and steel RC beams, and that the failure modes develop in a similar way (Figures 5 and 6). Therefore it can be concluded that the additive nature of shear resisting mechanisms can be assumed to be valid.
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I-igure 5 . Shear tailure in SR40 (leti) and GR43 (right)
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522 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
zyx
Based on the results of this research project and on previous work by various other the authors have proposed a modified approach for the design of FRP RC beams in which the strain limits are increased to the higher value of 4,500 p~ for both the shear and flexural reinforcement. This new approach, referred to as the “Sheffield approach”, has been successfully applied to various code equation^^^^^^^^^'^.
zyxwvu Figure 6. Shear failure in SB40R (left) and GB43R (right)
Table 3 reports the predicted shear capacity of the tested beams according to design code equations modified by using both the current recommendations and the Sheffield approach. It is evident that by using the Sheffield approach the total shear capacity can be predicted with much less scatter and a considerably improved level of accuracy.
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Table 3: Comparison of predicted shear capacities for FRP RC beams implementing the Strain approach and Sheffield approach
Sheffield approach (allowable strain of 4,500 ,ud A Exp Exu Exp Exu Exu BS8110 EC2-2001 ACI-440 BS8110 EC2-2001 ACI318 1.40 1.78 1.31 1.42 1.11 1.47 SB4OR 1.98 2.49 4.64 1.50 GB43RI 1.85 1.62 1.69 2.14 3.06 1.41 1.64 1.37 Mean. 0.50 2.24 0.13 StdDev. 0.41 0.30 0.36 values shown correspond to predictions obtained with the large spacing of shear links as specified in Table 1 Beam
Current recommendations (allowable strain of 2,000-2,500 p)
Although the presence of cracks in FRP RC members does not represent a cause for concern from the point of view of durability, unlike for steel reinforced structures, a crack width limit wsL of 0.5 mm has been proposed in various design recommendations dealing with FRP RC structures for aesthetic reasons2.
zyx
Shear Design Equationsfor FRP RC Beams 523
zyxwv zyx zyxwvuts
With these considerations in mind, the predicted design loads obtained by modifying the BS 811013 shear design equations according to the Sheffield approach were compared to the results of the present study and, subsequently, the corresponding service loads were checked against the maximum shear crack widths that were observed at those load levels. The service load, SLYwas computed by dividing the previously derived predicted ultimate load, SA, by a load factor of 1.5. wmrepresents the crack width measured at a load level equivalent to the service load.
zyxwvuts zyxwvutsrq "1 140
140
4
120 100
80
SA - Sdcycle
zyxwvuts 1 Y
60
40
20
6C
-0-
w.
07 0.0
Shear crack - lstphase Shear crack - Zd phase
SL - 3" cycle
40
Zd phase - l"+Zd cycle
WSL
0.5
1.0
1.5
2.0 2.5 3.0 Crack width (mm)
0.0
0.5
1.0 1.5 2.0 Crack width (mm)
Figure 7. Shear crack width growth for beams SB40 and SB40R (left) andbeams GB43 and GB43R (right)
Figure 7 illustrates the shear crack width growth for beams SB40(R) and GB43(R). Based on the results presented in this figure and Figures 3 and 4, it can be observed that for levels of strain up to 4,500 p~ (developed both in the shear and flexural FRP reinforcement) as proposed in the Sheffield approach, shear cracks were effectively controlled and the individual shear resistance of concrete and shear reinforcementwere effectivelymobilised. DESIGN RECOMMENDATIONS
Based on the above results, the following recommendations are made for the shear design of FRP RC beams. Concrete shear resistance
Based on the Sheffield approach, modifications to code equations BS 8 11013, ACI 3 18-9914,EC-2 (EN 1992-1:2001)'' are given e l ~ e w h e r e ~ ~ ~ ~ ~
524 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
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Contribution of shear reinforcement It was seen from the experimental results (Table 2), that the strain developed in the shear reinforcement was much larger than the yield strain of steel. The design approach for steel RC not only excludes the possibility that higher strains can be developed, but relies on it, since by adding the contributions from steel and concrete, plasticity is implicitly expected from both mechanisms. The adoption of the same strain limit for FRP reinforcement as for steel by the current design recommendations is therefore primarily there to control the development of crack widths. The results of this study, however, confirm that a relaxation of the strain limit for shear reinforcement to 4,500 pc, as proposed by the Sheffield approach, will not lead to undesirably large crack widths.
z
ECONOMY ACHIEVED BY THE PROPOSALS Figure 8 compares the ratio of shear reinforcement required for a given FRP RC beam according to the BS 81 10 equation modified by using both the strain approach and the Sheffield approach. Geometrical characteristics and concrete strength are kept constant, whilst the relative stiffness of the flexural reinforcement and the design applied shear stress, vd, vary. It can be observed that the reinforcement ratio required by the strain approach is always higher than that required by the Sheffield approach, and increases overall with increasing applied shear stress. A reduction in the required shear reinforcement of up to 3 times is possible when the Sheffield approach is adopted, thereby reducing reinforcement costs by up to 30%.
z
c 0
zyxwv zyxw
zyxwvutsr
2 1
3
0.0
0.2
0.4
0.6
0.8
1.o
.2
Normalized flexural stiffness ( P E/SGPa)
Figure 8. Ratio of shear reinforcement calculated according to the strain approach and the Sheffield approach plotted against normalised stifmess of the flexural reinforcement
Shear Design Equationsfor FRP RC Beams 525
z
CONCLUSIONS
The following conclusions can be drawn from the reported study: (a) The strain in both the flexural and shear FRP reinforcement can reach values that are much higher than those assumed by the current recommendations for the design of FRP RC. (b) Shear resisting mechanisms are mobilised in a similar way in both GFRP and steel RC beams and failure modes are characterised by similar behaviour. Hence, summing the contributions of the concrete and reinforcement shear resistance mechanisms remains valid. (c) For concrete shear resistance, the principle of strain control is accepted, but a new limit of 4,500 p is proposed for determining the amount of flexural reinforcement to be used in concrete shear design. For the design of shear links, the new proposed limit of 4,500 p~ also seems to lead to more appropriate and cost effective solutions.
zyxwv zy zyxw zyxwv zyxwvu z
ACKNOWLEDGMENTS
The authors wish to acknowledge the European Commission for funding the TMR Network "ConFibreCrete". REFERENCES
1. Japan Society of Civil Engineers, Recommendation for Design and Construction of Concrete Structures using Continuous Fiber Reinforcing Materials, JSCE, Tokyo, Japan, 1996. 2. Canadian Standard Association, Canadian Highway Bridge Design Code Section 16: Fibre Reinforced Structures, Final Draft, CHBDC, 1996. 3. Institution of Structural Engineers, Interim guidance on the design of reinforced concrete structures using j b r e composite reinforcement, IStructE, SET0 Ltd, London, 1999. 4. American Concrete Institute, Guide for the Design and Construction of Concrete Reinforced with FRP Bars, ACI 440.1R-0 1, ACI Committee 440, Farmington Hills, MI, USA, 2001. 5 . ISIS Canada - Intelligent Sensing for Innovative Structures, Reinforced Concrete Structures with Fibre Reinforced Polymers, Design manual No. 3, ISIS Canada Corporation, Manitoba, Canada, 2001. 6. Pilakoutas, K. and Guadagnini M., "Shear of FRP RC: a review of the State-of-the-Art", Proc. of the International Workshop Composites in Construction: a Reality, Capri, Italy, ASCE, 200 1, pp. 173-182.
526 FRPRCS-6: Externally Bonded Reinforcement for Shear
7. Guadagnini, M., Shear Behaviour and Design of FRP RC Beams, PhD Thesis, Department of Civil and Structural Engineering, The University of Sheffield, Sheffield, UK, 2002. 8. Guadagnini, M., Pilakoutas, K. and Waldron, P., “Investigation on Shear Carrying Mechanisms in FRP RC Beams”, Fifth International Symposium on Fiber Reinforced Polymer for Reinforced Concrete Structures (FRPRCS-5), Cambridge, UK, July 16-18,200 1, V01.2, pp. 949-958. 9. Guadagnini, M., Pilakoutas, K. and Waldron, P., “Shear performance of GFRP RC beams.” International Conference on FRP Composites in Civil Engineering, Hong Kong, 200 1, pp. 1 169-1 176. 10. Guadagnini, M., Pilakoutas, K. and Waldron, P., “Shear Performance of FRP Reinforced Concrete Beams”, Accepted for publication to the Journal of Reinforced Plastics and Composites, 2002. 11. Tottori, S., and Wakui, H. (1993), Shear Capacity of RC and PC Beams Using FRP Reinforcement. International Symposium on Fiber Reinforced Plastic Reinforcement for Concrete Structures, Nanni and Dolan ed., ACI, pp. 6 15-632. 12. Duranovic, N., Pilakoutas, K., and Waldron, P. (1997) Tests on Concrete Beams Reinforced with Glass Fibre Reinforced Plastic Bars, Third International Symposium on Non-Metallic (FRP) Reinforcement for Concrete Structures, Sapporo, Japan, pp. 479-486. 13. British Standard Institution, BS 8110 - Code of Practice for Design and Construction, Part 1, BSI, London, 1999. 14. American Concrete Institute, Building Code Requirements for Reinforced Concrete and Commentary ACI 318-99/R-99, ACI Committee 3 18, Farmington Hills, MI, USA, 1999. 15. European Committee for Standardization, Eurocode 2: Design of Concrete Structures - Part 1: General Rules and Rules for Buildings, prEN 1992-1 (1st draft), CEN, 1999.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan @World Scientific Publishing Company
STRENGTHENING OF CORROSION-DAMAGED RC COLUMNS WITH FRP
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S. N. BOUSIAS, T. C. TRIANTAFILLOU, M. N. FARDIS, L. A. SPATHIS AND B. O’REGAN Department of Civil Engineering, University of Patras GR-26500, Greece
Premature deterioration of RC structures due to corrosion of the reinforcement represents a significant problem, as it contributes considerably to the reduction of member strength and deformation capacity. Moreover, structures old enough to develop significant corrosion of the reinforcement normally belong also to the class of structures that have not been designed for earthquake resistance. In that respect, retrofitting against corrosion triggers seismic retrofitting of the structure as well. In this paper the use of fibrereinforced polymer (FFW) wraps in retrofitting RC columns with corroded reinforcement was experimentally investigated. Test results show that deformation- and, to a lesser extent, force-capacity of members with severe reinforcement corrosion can be considerably enhanced, through appropriate use of FRP.
INTRODUCTION Structures in seismic regions often suffer both from deficiencies in member strength and deformation capacity and from the effects of reinforcement corrosion due to aggressive environmental conditions. Past experience has shown that reinforcement corrosion not only reduces member strength due to steel area loss, but it also affects adversely bond and anchorage, and makes bars more susceptible to buckling and reduces steel ductility. Moreover, transverse reinforcement (for shear and confinement), being of smaller diameter and closer to the concrete surface, is more vulnerable to corrosion. Thus its contribution to the effective confinement and the resulting deformation capacity of the member decreases. For these reasons the seismic behaviour of RC members, especially of columns, is affected by steel corrosion, the problem being aggravated by the use of the more corrosion-prone tempcore S500 steel.
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528 FRPRCS-6: Externally Bonded Reinforcement for Shear
The efficiency of electrochemical remedy measures is not commensurate to their cost. As structures old enough to develop significant reinforcement corrosion normally lack sufficient earthquake resistance, the need for measures against the on-going corrosion, often paves the way for seismic retrofitting as well. When retrofitting is realized through external (passive) confinement, fibre-reinforced polymer (FRP) wraps offer a particularly attractive solution. Corrosion is an expansive process and thus FRP jackets can act as a (passive) confining mechanism, activated by lateral expansion of member cross-section. In the past, wrapping of members with FRP jackets has been applied successfully to members without corrosion damage'.2.3z4.The performance of this scheme in retrofitting RC columns with corrosion-provoked damage is experimentally investigated in this paper. EXPERIMENTAL PROGRAMME
The experimental programme focuses on the study of the contribution of FRP wraps in the hoop direction as a means of enhancing the deformation capacity of RC columns with corroded reinforcement, by upgrading member effective confinement. Twelve cantilever-type specimens were constructed representing full scale RC columns of a length approximately equal to half a storey (1.6 m) net height and with cross-sectional dimensions 250x500 mm (Figure 1). To represent non-seismically designed and detailed members, specimens emulated old construction, as far as materials used and lack of earthquake resistant detailing. The longitudinal reinforcement comprised four 18-mm bars; transverse reinforcement was provided by 8-mm diameter smooth bars at 200-mm centres with 135O-hook at one end and a 90" hook at the other. Ready-mix C12/15 concrete was used, in which salt of 3% per weight of water was added at mixing. Table 1 summarises the characteristics of the materials used for the specimens. In all specimens longitudinal bars had a yield stress of 559.5 MPa, a tensile strength of 682 MPa and uniform elongation at failure of 13% (average of 3 coupons). The corresponding values for the transverse bars are 286 MPa and 350 MPa and 13%. The lower l-m of all specimens, except two (used as reference for comparison), was subjected to accelerated corrosion5, employing an electrochemical circuit in which each longitudinal reinforcement bar was the anode and an external galvanized steel mesh was the cathode. Stirrups were supplied by current through their contact to the main reinforcement. A 6V fixed potential was applied between anode and cathode and the
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Strengthening of Corrosion-Damaged RC Columns 529
evolution of corrosion was monitored by recording the current passing and applying Faraday’s law to the integrated current. Alternating wet-dry cycles of 60 and 12 hours, respectively, were applied to the specimens using a 3% sodium chloride solution, as this has been shown in the past6 to produce corrosion products with high volumetric expansion. The accelerated corrosion conditions were maintained for about 3.5 months, at the end of which approximately 1 kg of steel mass in each specimen had been converted to oxides. The basic parameters of the retrofitting scheme studied in this research were: (a) the number of layers of the wrap material and the fibre material (carbon vs. glass), as a measure of different stiffness and strain capacity of the jacket material, (b) the effect of previous, unrepaired seismic damage, (c) the level of FRP-induced confinement in columns with cross-sectional aspect ratio other than 1.0, and (d) the effect of FRP wrapping in columns dominated by flexure or shear. As shown in Table 1, specimens were denoted after the following rules: the first letter denotes whether reinforcement was corroded (C) or not (U), the second and third signify the fibre material (C for carbon, G for glass) and the number of layers employed, while the last two define the axis of testing (W for weak and S for strong) and whether the specimen was initially damaged before retrofitting (denoted by in). Of all twelve specimens presented here, six were retrofitted with either 2 or 5 layers of FRP wraps, without any previous damage from cyclic loading. The number of FRP layers was determined as follows: the effectiveness of the FRP jacket with respect to the confinement achieved is conditioned by the deformability of the fibres and the extensional stiffness of the jacket, which is proportional to nxtfibxEf(n is the number of FRP layers, tfib is the thickness of a single layer (Le. the thickness of the fibre sheet), and Ef is the modulus of elasticity). In the tests performed the same axial stiffness was achieved with CFRP ( E ~ 2 3 0GPa, tfib=0.13 mm) and GFRP (Ef70 GPa, tfib=0.17 mm) using 2 layers for the former and 5 for the latter (axial stiffness EA 0 60 kN in both cases). Half of these first six specimens were tested along the weak and the other half along the strong column axis. Two of the other six specimens (C-C2Sin and C-C2Win) were first subjected to a number of displacement cycles beyond member yielding; then they were retrofitted with FRP wraps without restoring previous damage (e.g. cracking), except for any damage of the surface due to concrete cover spalling, which was repaired with non-shrinking mortar. Finally, the remaining four specimens (two with corroded reinforcement and
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zyxwv zyxwvu zy zyxwvut zy
530 FRPRCS-6: Externally Bonded Reinforcement for Shear
two without corrosion) were tested without any retrofit measures as control specimens. Table 1 . Specimen geometry and material properties Concrete FRP for retrofitting Normalised Peak Drift at axial load force failure (%) strength, f, Material Layers v=N/A,f, (m)
Specimen
u-0s
18.3 18.3 18.1 18.1 20.4 18.7 17.9 18.6 18.7 18.3 18.6 20.4
c-0s C-C2 Sin c-c2s c-c5s C G5S
u-ow c-ow C-C2Win c-c2w c-c5w C-G5 W
___
_-_
-__
___
Carbon Carbon Carbon Glass
2 2 5 5
-__
___
Carbon Carbon Carbon Glass
____2 2 5 5
0.38 0.38 0.37 0.38 0.34 0.37 0.38 0.35 0.35 0.37 0.37 0.34
190
182 167 190 182 182 72 65 67 70 67 69
2.5 2.8 4.1 5.1 3.7 4.1 4.1 4.4 7.2 7.2 7.5 7.5
A
0 10
Figure 1. Specimen cross-section and test set-up
Horizontal loading was applied at a distance of 1.6 m from the base by a servo-hydraulic actuator attached to the column head. Testing was performed by cycling horizontal displacements at increasing amplitudes along the weak or strong section axis. The tests were carried to column failure, determined either by fracture of reinforcing bars or FRP wraps, or when resistance dropped by at least 20% of its maximum previous value. An axial load of approximately 850 kN (see Table 1 for normalized axial load values) was applied through a jack placed at the top of the column. A special setup was developed to ensure that the axial load is always applied along the member longitudinal axis. The rotation and axial displacement of
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Strengthening of Corrosion-Damaged RC Columns 531
two sections 250-mm and 500-mm above the base, was also measured through displacement transducers.
Tests along Strong Axis of Column The shear span ratio of the column, when subjected to uniaxial flexure along its strong axis, was 1.60/0.50=3.2. Although (in monotonic loading) the column shear strength exceeds the ratio of the flexural capacity to shear span, for such a shear span ratio and the present low transverse reinforcement ratio column cyclic behaviour may be controlled by shear. The uncorroded control specimen, U-OS, yielded in flexure but then exhibited a mixed flexure-shear failure mode, with bar buckling, some inclined cracking and ultimate disintegration of the concrete core above the base. The corroded control specimen (C-0s) exhibits slightly lower flexural capacity than the uncorroded one - possibly due to loss of steel area due to corrosion - but higher ultimate deflection: 45 mm vs. 40 mm (drift ratio 2.8% vs. 2.5%) of the uncorroded specimen, both determined through the conventional rule of 20%-drop in resistance (Figure 2). Although the difference in the so-defined deformation capacity is small, the post-ultimatedeformation behaviour of the two specimens is very different: the uncorroded specimen suffered a sudden drop in resistance at a peak deflection of 45 mm, whereas the corroded one exhibits gradual strength degradation with increasing deflection amplitudes (up to 55 mm) and a more flexural failure mode (Figure 2b). A possible explanation is that the shear resistance - determined mainly by the contribution of concrete and of the axial load and less by the transverse reinforcement - decreases less due to corrosion than the flexural capacity, and hence the ultimate failure mode and deformation capacity of the corroded specimen is controlled less by shear than in the uncorroded control column. After retrofitting the column with two layers of CFRP (C-C2S, Figure 3b), the response changed radically: after yielding at a deflection of about 15 mm, peak resistance was maintained constant with increasing displacement amplitude (while it had dropped after 25 mm in C-0s). Peak resistance was still controlled by flexure at the base section and was about the same as in the unretrofitted specimen C-0s. After a displacement of 75 mm the cumulative lateral expansion of the compressed concrete inside the CFRP jacket caused jacket rupture when reaching the displacement of 80 mm (drift ratio 5%, see sudden drop in member resistance at 80 mm). Then rupture of a longitudinal bar took place before reaching a deflection of -80 mm (Figure 4b). Thus, the gain in deformation capacity amounts to about
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532 FRPRCS-6: Externally Bonded Reinforcement for Shear
80%. A similar force-deformation response was exhibited by a companion specimen with uncorroded reinforcement (not presented here) subjected to the same loading history, except that the uncorroded specimen maintained its lateral load carrying capacity to a higher displacement of 90 mm. No gradually softening branch was noted in either specimen. This modification of response over that of the unretrofitted specimens (corroded or not) is attributed partly to the significant increase of flexural deformation capacity due to the confinement of concrete and also to the increase in shear strength due to the contribution of the FRP jacket (approximately proportional to the total jacket thickness and the FRP modulus of elasticity).
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Figure 2. Force-deflection loops for control specimens: (a) U-0s (uncorroded), (b) C-0s (corroded) 250 200 150
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200
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0
Displacement (mml
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0
Dlrplacernsnl (mm) 5o
Force-deflection loops for specimens retrofitted with 2 CFRP layers: Figure 3. zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA C-C2Sin (with initial damage), (b) C-C2S (without initial damage)
Figure 4. Failure of (a) unretrofitted specimen C-OS, and (b) retrofitted specimen
c-c2s
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Strengthening of Corrosion-Damaged RC Columns 533
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In specimen C-C2Sin the two layers of FRP were applied to the column after it had gone through cycles of increasing amplitude of up to 25 mm. The initially damaged specimen exhibits faster strength degradation with cycling (Figure 3a) and lower ultimate deformation capacity than the companion initially damaged column (65 mm, i.e. 4.1%, vs. 80 mm or 5%). Failure was again by CFRP rupture followed by buckling and failure of a longitudinal bar. The difference in ultimate deformation, which has been consistently found in four pairs of undamaged or initially damaged specimens, may be explained by the fact that in the initially damaged specimen activation of the CFRP starts after the concrete has undergone some damage and lateral expansion; so it reaches earlier its (confined) crushing strain, triggering uncontrolled expansion and CFRP fracture. Increasing the number of layers of CFRP to 5 (specimen C-C5S) contributes marginally to member strength (Figure 5a), although it enhanced concrete confinement. Despite the increased jacket stiffness over that of specimen C-C2S, member deformability did not improve: the specimen sustained cyclic displacements of 55 mm, but at a displacement of 60 mm (drift ratio 3.75%) suffered fracture of one bar and a drop in resistance of 25% of the previous maximum value. The test was continued for two more cycles, in which neither the (reduced) lateral load capacity in the positive direction changed, nor the (unaltered after-peak) corresponding capacity in the negative direction, until another bar fractured on the positive. Fracture of the corroded steel bar preceded fracture of the CFRP and became the limiting factor. 2%,
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!
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.
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Figure 5. Force- deflection loops of: (a) C-CSS (5 CFRP layers), (b) C-GSS (5 GFRP layers)
With glass FRP for the retrofitting (specimen C-GSS), the 5-layer jacket applied has a stiffness equal to that of the 2-layer carbon FRP jacket. The increased energy dissipation over the unretrofitted specimen demonstrated when retrofitting with CFRP, was also exhibited by this
zyxw
534 FRPRCS-6: Externally Bonded Reinforcement for Shear
specimen (Figure 5b). Again, the behaviour was purely flexural due to the contribution of the GFRP to the shear capacity of the member. Failure occurred at a displacement of 65 mm (drift ratio 4.1%) by fracture of one longitudinal bar, as compared to 100 mm (drift ratio 6.25%) in the companion uncorroded specimen (not included here). Compared to specimen C-C2S, which had the same jacket stiffness, this specimen had a slightly inferior performance. What is most interesting is that specimen C-CSS, with 5 layers of CFRP, did not perform better than either of these two specimens. It seems that there is no benefit in increasing the number of CFRP layers beyond a certain limit, which, for this particular specimen, is quite low.
Tests along Weak Axis of Column The specimens subjected to uniaxial flexure along their weak cross-section axis (shear span ratio 1.60/0.25=6.4) are expected to have a clearly flexural behaviour. Nonetheless, again the uncorroded control specimen, U-OW, exhibits lower deformation capacity (65 mm or drift ratio of 4.1%, vs. 70 mm or 4.4%) and a more rapid post-ultimate strength degradation (Figure 6a) than its corroded counterpart, C O W (Figure 6b). This feature of U-OW and its failure mode, which involved extensive inclined cracking, are reminiscent of shear-controlled behaviour, despite the high shear span ratio (Figure 6b). The application of two layers of carbon FRP increased member deformation capacity drastically (Figure 7b, compared to Figure 6b), while strength was not much affected (as expected, due to the marginal contribution of increased concrete confinement to member strength). Strength degradation of the retrofitted column evolved much slower than in the unretrofitted specimen (Figure 7b), permitting the column to retain large proportion of its resistance for many cycles after the peak. The conventionally defined (through the 20%-drop in resistance rule) deformation capacity increases from about 70 mm (drift ratio 4.4%) to about 115 mm (7.2%). Failure was by CFRP fracture (Figure 8b). The initially damaged specimen (Figure 7a) has in this case similar behaviour and about the same deformation capacity as the undamaged one (Figure 7b). It is noted here that for this small number of CFRP layers (i.e. for small volumetric ratio of FRP material), jacket failure by tensile fracture of fibres was observed in both specimens C C 2 W and CC2Win, as expected.
zyx
zyxw
Strengthening of Corrosion-Damaged RC Columns 535
Figure 6. Force- deflection loops for specimens (a) U-OW (uncorroded), (b) C O W (corroded) zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFE
zyxwvut , ~ "
zyxwvutsrq
Deflection (mm)
Figure 7 . Force- deflection loops for specimens retrofitted with 2 CFRP layers: (a) C-C2Win, (b) C-C2W
Figure 8. Failure of (a) unretrofitted specimen C-OW, and (b) retrofitted specimen c-c2w
For the present specimen the application of 5 layers of carbon FRP, as compared to 2 layers of the same material, does not considerably affect strength (as expected) or the conventionally defined member deformation capacity. Referring to Figures 7b, 9a and 9b, the 2-layer CFRP jacketed specimen has a conventionally defined (at 20% drop in resistance) ultimate drift of 7.2% and as compared to drift of 7.5% in the specimens with 5
zyx zyxwv
536 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
CFRP or GFRP layers. In that respect, the addition of 3 more FRP layers did not prove to be very beneficial. Nonetheless, at a drift ratio of 8.45% specimen C-C2W suffered CFRP fracture, whereas the test of specimens C-CSW and C-GSW stopped at post-conventional ultimate drift ratios of 8.75% and 8.1%, respectively, without fracture of the FRP or the reinforcement. XI
Z
zyxwvutsrqp
zyxwvutsrqponmlkjihgf -
D
5 .
XI
XI 150
Deflort,on imm,
100
XI
zyxwvuts 0
I0
1w
150
o.nestlOn imm)
Figure 9. Force- deflection loops for specimens: (a) C-C5W (5 CFRP layers), (b) C-G5W (5 GFRP layers)
CONCLUSIONS
The present test results have shown that: (a) FRP wrapping of columns without earthquake resistant detailing and with corroded reinforcement does not improve strength - which is controlled by the flexural capacity at the base and affected by the loss in steel area - but increases dramatically deformation (drift) capacity to levels not easily achievable through confinement by conventional jacketing. This improvement is due to the increase in strain capacity of the compressed concrete and the restraint of bar buckling by the F W jacket, as well as to the suppression of the effects of shear on deformation capacity. (b) In the strong direction of the column, where the lower drift capacity is due to larger depth and lower shear span ratio, failure of the retrofitted element was associated with fracture of longitudinal reinforcement. This had not been observed on companion columns with non-corroded reinforcement, which exhibited larger deformation capacity. It seems that corrosion reduces the ductility of the rebars, setting therefore a limit to the improvement in deformation capacity that can be effected through FRP wraps. (c) Application of the FRP jacket to a column which had been carried to yielding of the reinforcement and to moderate damage by previous cycling, gives lower deformation capacity in comparison to an initially
zyxw
Strengthening of Corrosion-Damaged RC Columns 537
undamaged column. The difference may be due to the fact that concrete has undergone some lateral expansion in the absence of the FRP jacket and its activation. (d) In the strong direction of the specimen, in which bar fracture is the limiting factor for deformation capacity, increasing the number of the FRP layers from a low value of two to five does not offer any advantage. Some advantage is offered by such an increase in the weak direction, in which concrete confinement and FRP action control deformation capacity. Nonetheless, this advantage is disproportionately small in comparison to the additional material cost. (e) At first sight FRP wraps are expected to be more effective in the strong direction of the column, as the more narrow width of the compressed zone lends itself better to confinement by the FRP jacket and improvement in the strain capacity of the compression zone, while the confinement effect of the FRP over the wide compression zone of the weak direction is certainly smaller. Nonetheless, in the present case premature fracture of the corroded reinforcement has prevented full utilization of the larger confining effect of the FRP in the strong direction of the column. (f) Contrary to the unretrofitted specimens, which retain their axial load capacity after attaining ultimate deformation and losing their lateral load capacity, columns retrofitted with FRP wraps lose practically all their axial load capacity when they fail explosively by fracture of the FRP wrap. Failure by bar rupture does not have such severe consequences on axial load capacity.
zyxw zyxw
ACKNOWLEDGMENTS
The General Secretariat for Research and Technology (GSRT) of the Greek Ministry of Development provided partial financial support to this research. SIKA provided the FRP materials. REFERENCES 1. Federation International du Beton, Externally bonded FRP reinforcement for RC structures,fib Bulletin 14, Lausanne, 2001. 2. Matthys, S., Taerwe, L. and Audenaert, K., “Tests on axially loaded concrete columns confined by FRP sheet wrapping”, 4th International
zyxw zyxwv
zyxwvu
538 FRPRCS-6: Externally Bonded Reinforcementfor Shear
3.
4.
5.
6.
Symposium on FRP for Reinforced Concrete Structures, Baltimore, USA, 1999, pp. 2 17-228. Nanni, A. and Bradford, N. M., “FRP jacketed concrete under uniaxial compression”, Construction and Building Materials, 9(2), 1995, pp. 115-124. Seible, F., Priestley, M. J. N. and Innamorato, D., “Earthquake retrofit of bridge columns with continuous fiber jackets”, In Design guidelines, Advanced composite technology transfer consortium, 2, Report No. ACTT-95/08, Univ. of California, San Diego, 1995. Bousias, S., Triantafillou, T., Fardis, M., Spathis, L., and O’Regan, B., Use of fibre reinforced polymers in repairhetrofit of reinforced concrete elements, Research Report to the General Secretariat for Research and Technology, Greece, 200 1. Sheikh, S., Pantazopoulou,S., Bonacci, J., Thomas, M. and Hearn, N., Repair of delaminated circular pier columns by ACM, Ontario Joint Transportation Research Report, MTO Reference No. 3 1902, 1997.
zyxwvutsrq zyxwvut
FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan QWorld Scientific Publishing Company
zyxwv zyxwvu zyxw
SHEAR STRENGTHENING OF CONCRETE BRIDGE DECKS USING FRF' BAR P. VALERIO Te.i. co, via Giangiacomo Porro 18, 00197, Rome, Italy
T. J. IBELL Department of Architecture and Civil Engineering, University of Bath. Bath, BA2 7AY, United Kingdom
The shear capacity of existing concrete bridge beams is often inadequate and unable to meet current code requirements. This paper deals with a new type of shear strengthening for existing concrete bridges. It is proposed that vertical FRP bars be inserted into pre-drilled holes and fastened in place using epoxy resin. This method has the advantage that only the soffit of the concrete bridge beam (or slab) is required for access, allowing the top surface to remain undamaged during strengthening. This could allow the bridge to be used during strengthening works, with traffic relatively unhindered by work being carried out below. Ten laboratory tests are presented here to demonstrate the system, and comparisons are made against current code predictions for the strength of such concrete beams with and without transverse reinforcement. The results of this work show that the proposed strengthening scheme is effective and provides significant improvement in the shear-carrying load capacity.
INTRODUCTION Many concrete bridge elements are deteriorating, leading to a reduction in their flexural and shear strength. This deterioration may be due to poor initial design or construction (including poor material selection or poor workmanship), increased traffic loads and aggressive environments. If a concrete bridge is found to have inadequate shear strength and individual webs are inaccessible (for example in the case of many parallel closely-laid beams), one option to strengthen the bridge in shear is to insert threaded vertical steel bars through the deck and bolt on end-plates. However, this method requires access to both the soffit and top surface of the bridge. This is problematic in terms of disruption in the use of the bridge and maintenance might also be a problem, so stainless steel is often used. This adds expense and means that the stainless steel bars must be isolated
zyxw
540 FRPRCS-6: Externally Bonded Reinforcement for Shear
from the reinforcing bars in some way, in order to prevent accelerated corrosion of these reinforcing bars. The work described in this paper attempts to circumvent these problems. It is proposed that vertical holes are drilled into the bridge deck from the soffit level. FRP reinforcing bars are then inserted and embedded in place using resin. In this way, shear strength enhancement is possible. Due to its ongoing popularity, the equivalent steel-bar solution is also considered. This shear-strengthening technique implies that some pressure would need to be applied to inject high-viscosity adhesive into the drilled holes. This research project was concerned with the feasibility of the structural strengthening capabilities, rather than with the on-site practicalities.
zyxwvu
TEST PROGRAMME
In order to verify the practicality and feasibility of the proposed verticallyembedded-bar shear strengthening scheme, the following test programme was conducted. The FRF' reinforcement used was Arapree' bar whose main properties, in accordance with manufacturer's data, are a tensile strength of 1.5 GPa, Young's Modulus of 60GPa, ultimate strain of 2.4% and density of 12.5 kN/m3. Ten beams were tested under four-point loading to provide constant shear within the shear spans. Each beam had a similar cross-section and contained the same quantity of bottom steel reinforcement (2 T12 high yield bars). Figure 1 shows the typical dimensions and longitudinal reinforcement in the specimens. The first specimen contained no transverse reinforcement. The second specimen contained five manually-drilled, unfilled 12mmdiameter vertical holes in each shear span (see Figure 2). The third and fourth specimens contained respectively five similar manually-drilled vertical holes in each shear span, but this time each filled with epoxyresined Arapree (10mm diameter) or steel bars (T10 deformed bar). The fifth specimen contained three Arapree bars angled at 60" to the horizontal. The sixth and seventh specimens contained respectively three vertical Arapree or steel bars spread out over the shear span. The eighth specimen contained two vertical Arapree bars in each shear span, each of diameter lOmm as before. The ninth specimen was similar to the eighth, but contained 7.5mm diameter Arapree bars this time. The tenth specimen contained just a single l0mm-diameter Arapree bar inserted in the centre of each shear span. Table 1 summarises the reinforcement in each specimen.
zyx
zyxz zyxwv zyxw
zyxwvuts Shear Strengthening of Concrete Bridge Decks 541
Il-
& PJ2
4
PJ2
1 1
t
t
(a) Elevation of beams
(b) Typical cross section
zyxwv
Figure 1. Details of the test specimens
Table 1 . Shear strengthening details for each specimen Spec. No. Long. reinforcement
Trans. reinforcement
1
2 T12 steel
none
2
2 T12 steel
5+5 holes only
3
2 T12 steel
5+5 lOmm Arapree bars vertical
4
2 T12 steel
5+5 T 10 steel bars vertical
5
2 TI2 steel
3+3 lOmm Arapree bars angled 60"
6
2 T12 steel
3+3 lOmm Arapree bars vertical
7
2 T12 steel
3+3 T10 steel bars vertical
8
2 TI2 steel
2+2 lOmm Arapree bars vertical
9
2 T12 steel
2+2 7.5mm Arapree bars vertical
10
2 T12 steel
1+1 lOmm Arapree bar vertical
542 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
zyxw I
zy
zyxw zyxwvu I
I
500
Figure 2. Positioning of vertical hole
The required concrete cube compressive strength was about 50 MPa and Figure 3 shows the typical test set-up for each of the specimens.
zyxwv Figure 3. Overall test set-up
TEST RESULTS AND DISCUSSION
Table 2 shows a summary of the results of all tests. All beams cracked in flexure around 15kN.Those beams strengthened in shear with three or five FRP bars in each shear span (Beams 3 to 7) attained full ductile flexural response. The beams which were either not strengthened or strengthened with only one or two bars in each shear span (beams 1, 2, 8, 9 and 10) all
zyx zyxw zyxw zy zyxw zy zyxwvuts Shear Strengthening of Concrete Bridge Decks 543
failed in brittle shear. Figure 4 shows the shear failure for specimen 10, containing just one bar in each shear span. Note how the shear discontinuity was constrained to occur between the single bar and the load point. This increased the shear capacity considerably compared with Beam 1, as seen in Table 2. Table 2. Test results
Beam No.
Average f,, W a )
Failure mode
Peak failure
Maximuim midspan defieccic ' "m
load (kN)
(mm\
1
51
Shear
45
12
53
Shear
42
9
60
Flexural
83
> 40
51
Flexural
80
> 40
55
Flexural
83
> 40
50
Flexural
83
> 40
60
Flexural
76
> 40
8
59
Shear
64
13
9
59
Shear
64
13
10
59
Shear
60
12
2
3 4 5
6 7
Figure 4. Shear failure of Beam 10
zyxwvuts zyxw zyx
544 FRPRCS-6: Externally Bonded Reinforcement f o r Shear
Figure 5 shows the midspan load-deflection plots for all specimens, clearly demonstrating the flexural ductility that was exhibited by those specimens containing sufficient shear strengthening.
Applied load against midspan displacement
zyx zyxwvu -Beam1
---
Beam 2
Beam 3 Beam 4
- _ _ _ _Beam 5
Beam 6
- - .-Beam
-
7
Beam 8
Beam 9
Beam 10
0
10
20
30
40
50
Displacement (mm)
Figure 5. Load-deflection plots for all specimens
zyxwvu zy
FLEXURAL ANALYSIS
In the uncracked phase, it may easily be shown that the depth to the neutral axis is x = 120 mm and the effective second moment of area I = 116x lo6 mm4. The theoretical first cracking moment M,, is given by M, = f c , (I/h-x), wheref,, = 3.9 MPa is the average measured concrete tensile strength and h is the overall depth of the beam (220 mm), so that M,, = 4.5 kNm. Therefore, it may easily be shown that the theoretical total applied load at first flexural cracking is P,, = 15.1 kN. This value matches well with that observed in all tests. At the ultimate limit state, assuming the concrete compressive cube strengthsf,, for each test and the steel yield strength&, = 635 MPa, we find that the ultimate moment of resistance of each beam turns out to be in the range of Mu, = 24.1 to 24.6 kNm (forfc, = 5OMPa to 60MPa). Therefore, the theoretical total applied ultimate load ranges from P, = 80 to 82 kN. This range too is very close to that observed in the specimens which failed in flexure (tests 3 to 7).
zyxz
zy zy
Shear Strengthening of Concrete Bridge Decks 545
SHEAR PREDICTIONS FROM CODES-OF-PRACTICE
Comparisons between the ultimate load observed and code predictions are now made for all beams. The predicted ultimate load capacity for beams 1 and 2, each of which contains no transverse reinforcement, is P,,= 2V,, where V, is the concrete contribution term with all the safety factors put equal to unity. For beams 3 to 10, with transverse reinforcement, P,, = 2 V,,, where V,, = V, + 5.The assumptions made in determining p a r e explained below. Codes-of-practice BS8 1 102, Bridge Assessment Guide BD44/953, ACI-3 184 and Eurocode EC25 are used here for comparison purposes. For the V, term from ACI-3 18, it is assumed that the equivalent cylinder compressive strengthf', = 0.80f,,. For the V , term, it is assumed that the vertically-embedded FRP bars will strain to 0.004 at the ultimate shear capacity of the beams617.As the bars contain no hooked corners, no further strain checks are made which would relate to bent portions of FRP stirrups. With a Young's Modulus of the F W bars of 60GPa, the stress in the FRP bars at shear collapse is 240MPa. Thus, the term for V, based on a 45" truss analogy, becomes, for steel and FRP transversally reinforced beams respectively:
zyxwvu V f=
635 .Ar.z sv
v/= 240.Af.z sv
zyx zyx
where Af is the cross-sectional area of each bar, z is the effective lever arm of the truss and sv is the spacing between vertical bars. Note that although the codes-of-practice adopted here limit the spacing between stirrups to various fractions of the effective depth, d, the calculations conducted here ignore this limitation. Naturally, the design of an adequate shearstrengthening scheme would require closely-spaced vertical bars in reality. The value of z is taken to be the fully-anchored length of each embedded bar, which is the overall length of each bar minus the anchorage length at each end. For purposes of analysis here, it is assumed that the average bond strength between epoxy-resined bar and concrete is of the order of 12MPa'. This translates to an anchorage length, Zb, of 50mm for the lOmm diameter bars, so that in all cases, it is assumed that
zyxw zyxwvu zyxwv zyx
546 FRPRCS-6: Externally Bonded Reinforcement for Shear
z = h-2.1, = 220-2x
50 = 120mm
(3 1
Table 4 shows details of comparisons between the various code predictions and the actual results. Where the shear capacity prediction is higher than the relevant flexural capacity prediction, the flexural capacity is used for comparison purposes. It is clear that all codes-of-practice predict the shear and flexural strengths (as relevant) reasonably accurately. This is important, as it implies that this Strengthening scheme could be used with confidence by practising engineers. However, for specimens 8 and 10, in particular, the codes-of-practice over-estimate the effectiveness of the vertical bars. This is almost certainly due to the wide spacing of the bars, which is close to one effective depth for specimen 8 and substantially more than one effective depth for specimen 10. Therefore, clearly it is essential that in order for this strengthening scheme to be used in reality, the vertically-embedded bars should be spaced sufficiently closely in order for shear predictions to be valid. It seems sensible that this minimum spacing should be in the region of 0.5 to 0.75 times the effective depth, just as recommended by present codes-of-practice for shear design. If the presence of the vertical bars is ignored entirely in specimens 8, 9 and 10 (due to the wide spacing), all codes-of-practice substantially underestimate the shear capacity, which is then based solely on the value of V,. So, in these three specimens, it seems that although the bars are spaced too widely to be fully effective, they do indeed enhance shear capacity by altering the shear discontinuity geometry. CONCLUSIONS From the test results and comparisons with code and plasticity-based predictions, the following remarks may be made. The proposed shear-strengthening approach has been shown to be feasible and successful. Such a shear-strengthening technique for concrete bridges offers many advantages over the traditional threaded-bar-and-plate approach, such as only access to the soffit being required, easier and quicker installation, and lower maintenance.
zyxw zy
Shear Strengthening of Concrete Bridge Decks 547
zyxwvu
Table 4. Correlation between code-of-practice predictions and test results Beam No.
Actual Capacity
1
(kN) 45
2
3 4 5 6
7 8 9
10
(Shear) 42 (Shear) 83 (Flexure) 80 (FI exure) 83
BS8110 Pred. (kN) 48 (Shear) 49
BD44/95 Pred. (kN)
47 (Shear) 47
ACI-318 Pred. (kN) 41 (Shear) 42
EC2 Pred. (kN) 41 (Shear) 42
(shear) (Shear) (Shear) (Shear) (Shear) 82 82 82 82 (Flexure) (Flexure) (Flexure) (Flexure) 80 80 80 80 (shear) (Shear) (Shear) (Shear) (Flexure)(Shear) (Flexure (Flexure) (FI exure) 81 81 81 81
(shear) (shear) (Shear) (Shear) (Shear) (Shear) (Shear) (Shear) (Shear) (Shear) 83
80
80
77
77
76 (F1exure) 64 (Shear) 64 (Shear) 60 (Shear)
82 (FI exure) 78 (Shear) 66 (Shear) 69 (Shear)
82 (F1exure) 76 (Shear) 64 (Shear) 67 (Shear)
82 (Flexure) 72 (Shear) 60 (Shear) 63 (Shear)
82 (F1exure) 73 (Shear) 61 (Shear) 64 (Shear)
(shear)(Shear) (Shear)(Shear) (Shear)(Shear) (Shear) (Shear) (shear) (Shear)
No particular differences were noticed between the beams reinforced with steel bars and the ones reinforced with FRP, so that the use of F W is suggested for such strengthening due to its lightness and corrosion resistance. The spacing between embedded bars should be close enough so that the shear discontinuity cannot form between bars. It is suggested that existing requirements for maximum spacing of vertical reinforcement, which vary between 0.5 and 0.75 times the effective depth, should be adequate for such strengthening. Existing codes-of-practice adequately predict behaviour of this strengthening scheme when closely-spaced vertical bars are used. It is therefore concluded that it is possible to design a shearstrengthening scheme using embedded FRP bars by assuming that the provided a value of 0.4% for the reinforcement contribution is Afifi&'~/ssy, ultimate design strain &fwd is chosen.
548 FRPRCS-6: Externally Bonded Reinforcementfor Shear
zyx
ACKNOWLEDGEMENTS
The authors gratefully acknowledge the help of the laboratory staff and the financial support from the Department of Architecture and Civil engineering at the University of Bath, and Sireg, who supplied generous discounts on the Arapree materials. REFERENCES
1. Sireg S.p.A., “Arapree-Carbopree bars”, Sireg Geotechnical Division Catalogue, Arcore, Italy, 200 1. 2. BS 8 1 10, “Structural use of concrete. Part 1: Code of Practice for design and construction”, British Standards Institution, London, 1985. 3. BD 44/95, “The assessment of concrete highway bridges and structures”, Department of transport, London, 1995. 4. ACI Committee 3 18, “Building Code Requirements for Reinforced Concrete (ACI 3 18-02) and Commentary (ACI 3 18R-02)”, American Concrete Institute, Detroit, 2002. 5. EC2, “Design of concrete structures, Part 1: General rules and rules for buildings”, 1992. 6. Arduini, M., Nanni, A., Di Tommaso, A. and Focacci, F., “Shear response of continuous RC beams strengthened with carbon FRP sheets”, Proceedings of the 3rd International Symposium on NonMetallic (FRP) Reinforcement for Concrete Structures (FRPRCS-3), Sapporo, Japan, October 1997, pp. 459-466. 7. Umezu, K., Fujita, M., Nakai, H. and Tamaki, K., “Shear behaviour of RC beams with aramid fiber sheet”, Proceedings of the 3rdInternational Symposium on Non-Metallic (FRP) Reinforcement for Concrete Structures (FRPRCS-3), Sapporo, Japan, October 1997, pp. 491-498. 8. Ibell, T.J. and Burgoyne, C.J., “The use of FRPs compared with steel for shear reinforcement of concrete”, ACI Structural Journal, 96(6), 1999, pp. 997-1003.
zyx zyxw
(shear) (Shear) (Shear) (Shear) (Shear) (shear) (Shear) (Shear) (Shear) (Shear)
This page intentionally left blank
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by S a n g Hwee Tan BWorld Scientific Publishing Company
STRESS-STRAIN RELATIONSHIP FOR FRP-CONFINED CONCRETE CYLINDERS
zyxwv G. WU',2, Z. LU' AND Z. WU2
I
College of Civil Engineering, Southeast lJniversi& China
2
Department of Urban & Civil Engineering, Ibaraki Universi& Japan
Based on the analysis of more than two hundred specimens of concrete cylinders confined with FRP, a method for predicting the ultimate strength of FRP-confined concrete is presented. First, the calculation of the Poisson's ratio of concrete confined with a sufficient amount of FRP is suggested. Then, according to strain compatibility, the ultimate strain of FRP-confined concrete is predicted. Finally, a tri-linear model is suggested to predict the stress-strain response of FRP-confined concrete cylinders. Through comparison with existing experimental data of other researchers, the effectiveness of the proposed model is verified.
INTRODUCTION In recent years, external confinement of concrete with fiber reinforced polymer (FRP) has emerged as a popular method for the retrofitting of existing concrete columns for enhanced strength and ductility. Numerous tests on FRP-confined concrete cylinders have thus been conducted'-''. '*, ", and a number of theoretical stress-strain models have been proposed for FRP-confined concrete'"' '-16 . It is hard to accurately predict the stress-strain response of FRP-confined concrete, because parameters affecting the performance of FRP-confined are numerous, in particular, the types of FRP are diversified and the property of FRP is scattered. Based on the analysis of a large number of test databases, this paper puts forward a new method to predict the ultimate strength and strain of FRP-confined concrete cylinders and suggests a stress-strain model.
AVAILABLE EXPERIMENTAL RESULTS For the assessment of previous models and for the development and calibration of a new model, existing experimental results of more than two hundred specimens given in the references are used in this paper. The available experimental results cover a wide range of values for several parameters that affect the mechanism of confinement:
552 FRPRCS-6: Externally Bonded Reinforcement for Confinement
(1) Concrete strength between 23.0 N/mm2 and 75.4 N/mm2 were tested. (2) The majority of results were obtained from tests on the cylinders with a dimension of 0100 mmx200mm or 0 150 mmx305mm. (3) CFRP, GFRP, AFRP were used to confine the concrete, the CFRP includes common CFRP (with a modulus less than 250 GPa) and high modulus CFRP (with a modulus greater than 250 GPa). The FRP was applied in the form of a tube or sheet. (4) The tensile strength of FRP varied between 330 N/mm2 and 4433 N/mm2 , the modulus of FRP between 19100 N/mm2 and 640000 N/mm2 , and the thickness of FRP varied between 0.1 lmm and 3.Omm. ( 5 ) In order to eliminate the influence of steel, all the specimens were without internal longitudinal or transverse reinforcement. (6) This paper focuses on the test specimens without a descending stress-strain response, that is, where a sufficient confinement from FRP has been provided.
zy zyxwvu zy
ULTIMATE STRENGTH OF CONFINED CONCRETE
Many researchers 1, 6, 8-10, 15-16 have suggested some methods to predict the strength of FRP-confined concrete cylinders with reference to the well-known equation proposed by Richart et al. Other researchers", 13* l4 also presented some equations to predict the strength of FRP-confined concrete. There are two significant parameters, confinement modulus (El) and confinement strength (f;>, that will significantly influence the performance of According to previous studies, the effectiveness coefficient is related not only to the ratio of confinement strength to the strength of unconfined concrete, namely fdco, but also to the type of FRP, and it depends on the method used to determine the strength of FRP. The ultimate strength of FRP-confined cylinders can be predicted by following equations.
zyxwvu
(1) For FRP sheet-confined concrete cylinders, where the strength of FRP is determined by tensile coupon tests (Fig. 1a), the expression is:
Lc
-- 1+2.0- .A
Lo
L o
(2) For FRP sheet-confined concrete cylinders, where the strength of FRP is obtained by the value provided by manufacturers (Fig.lb), the expression is:
z zyx
Stress-Strain Relationsfor FRP-Confined Cylinders 553
--- 1+ 3.0- J; A
C
L
O
L
O
(3) For FRP tube-confined concrete cylinders, where the strength of FRP is determined by tensile coupon tests (Fig.lc), the expression is:
LC-- 1+ 2.5- J; L
(3 1
L O
O
zyxwvuts zyxwvutsrqpo zyxwvuts where f c o , and f c c are the strength of unconfined concrete cylinders and FRP-confined concrete cylinders respectively.
4
r ................................................................................
4 r
e 3 2 -
1 -
0 ' 0
0 ' 0
I
0. 5
1. 5
1
0. 5
fdco
fdco
(a) FRP sheet, strength determined by tests
(b) FRP sheet, strength obtained from manufacturers
0 ' 0
0. 5
1
fdco
(c) FRP tube, strength determined by tests Figure 1. Regression equations for the ultimate strength of confined concrete
1
554 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
zyx
ULTIMATE STRAIN OF CONFINED CONCRETE The ultimate strain of FRP-confined concrete is related not only to the value E d c , orfJfco, but also to the ultimate strain of FRP, the form of FRP, and the property of FRP (normal modulus FRP or high modulus FRP); these parameters were not all considered in existing models6, *-", 13-" . This resulted in a poor comparison between the experimental and the predicted results. Based on the analysis of the existing experimental results, some conclusions can be drawn: (1) FRP is a linearly elastic material, so the Possion's ratio of FRP-confined concrete at ultimate will tend to an asymptotic value if the confinement of FRP is significant, and the value is mainly related to the form and property of FRP, and the value offJfco. (2) The ultimate Possion's ratio of FRP-confined concrete is related to the form of FRP. For FRP tube-confined concrete columns, the FRP tube is often used as the formwork, with the concrete cast in the tube; hence the tube and concrete are in close contact. For FRP sheet confined concrete, FRP is wrapped around the cylinders, and there are voids between the FRP sheet and the concrete surface ineluctably; so the ultimate Possion's ratio of FRP sheet-confined concrete is larger than that of FRP tube-confined concrete. The ultimate Possion's ratio of concrete confined with normal modulus CFRP sheet, GFRP sheet and AFRP sheet can be approximated by [Fig 2(a)l:
z
For concrete confined with GFRP or CFRP tubes, the ultimate Possion's ratio can be approximated by [Fig 2(b)]:
zyxwv
The confinement is more effective for high modulus FRP, but as the number of test databases of cylinders confined with high modulus FRP is small, the ultimate Possion's ratio of high modulus FRP-confined concrete is approximately suggested as:
Stress-Struin Relationsfor FRP-Confined Cylinders 555
r::)"""
zyxwvut zyxwv zyxwvutsr zyxwvu v,, =0.56kf -
where kf is the influence coefficient of high modulus FRP, which is taken by 1.0 when Ef is less than or equal to 250 GPu, and d w ( u n i t GPu) when Ef is greater than 250 GPa. After obtaining the ultimate Possion's ratio of FRP-confined concrete, according to strain compatibility, the ultimate strain of FRP-confined concrete can be easily calculated by the following equation: &
=-E f i
(7)
CC
vu
where E,, is the ultimate axial strain of FRP-confined concrete, and cfiis the ultimate strain of FRP.
3 r
0 ' 0
1 1
I
0. 5
-0
zyxwvu 1
1. 5
0
fdco
(a) Common FRP sheet confined concrete
0. 5
1
fdco
(b) FRP tube confined concrete
Figure 2. Regression equations for ultimate Possion's ratio
COMPARISON OF AVAILABLE MODELS Comparison of existing models and the model proposed in this paper is showed in Table 1, some conclusions can be drawn: (1) Many existing models seem to accurately predict the ultimate strength of FRP-confined concrete; on the contrary, there is a large scatter associated with strain predictions.
zyxwvu zyxw zy
556 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
(2) The models proposed by Lam and Teng (2001), and Xiao and Wu (2001) can favorably estimate the ultimate stress and strain of FRP sheet-confined concrete, but it is not favorable for FRP tube-confined concrete. (3) The models proposed by Samaan and Mirmiran (1997), and Spoelstra and Monti (1999) can favorably estimate the ultimate stress and strain of FRP tube-confined concrete, but it is not favorable for FRP sheet-confined concrete. (4) It seems that all the existing models cannot favorably predict the ultimate stress and strain of concrete confined by high modulus FRP. ( 5 ) The model proposed by this paper can favorably predict the ultimate stress and strain of concrete confined by any type of FRP.
Researchers
zyxw zyx zyxw
Table 1. Comparison of available models Confined with high Confined with common FRP sheet Stress
modulus FRP sheet
Strain
Stress
~~~
Strain
Confined with FRP tube Stress
Strain
Mean St.dev. Mean St.dev. Mean St.dev. Mean St.dev. Mean St.dev. Mean St.dev.
[I1
1.35 0.41
0.88
0.38
1.20
0.27
3.83 3.78 1.31 0.36 0.61 0.51
[21
1.32 0.38
1.11
0.37
1.23
0.28
1.88 1.09 1.17 0.20 0.57 0.46
[61
1.11 0.20
2.03
1.30
1.09
0.15 2.08 1.57 0.99 0.08 0.93 0.27
181
1.15 0.22
1.17
0.40
1.06
0.13 2.21 1.51 1.07 0.14 0.63 0.42
191
1.35 0.39
1.53
0.71
1.22
0.27
1.56 0.76 1.26 0.29 0.16 0.86
~
~
~
~
[lo]
1.08 0.17
1.58
0.76
1.03
0.11
1.55 0.76 0.96 0.09 0.79 0.29
[I11
1.06 0.16
1.87
1.05
0.94
0.17
1.85 1.34 0.98 0.09 0.86 0.20
[I41
1.09 0.39
0.94
0.33
1.17
0.27
1.48 0.68 1.26 0.33 0.55 0.50
0.97 0.14
1.02
0.32
0.93
0.12
1.72 0.88 0.86 0.16 1.10 0.34
Thispaper 1.02 0.13
1.00
0.31
0.96
0.10
0.94 0.39 0.98 0.10 0.97 0.15
-
[I51
~
Best
This paper
Third
[I11
7his paper
This paper
~ 4 1
~ 3 1
This paper
[6]
2% paper
-
Thispaper
[I11
Stress-Strain Relations for FRP-Confined Cylinders 557
z
STRESS-STRAIN RELATIONSHIP
zyx zyxwv zyxwvuts
Tri-linear Stress-strain Model
This paper suggests a tri-linear model can be used to predict the stress-strain response of cylinders confined with a sufficient amount of FRP (Fig.3), each point in Fig.3 can be determined respectively as following: Point 1( E , ~ ocl , ):
zyxw
where E, is the modulus of concrete, and can be approximated by
Point 2( E , ~ oc2 , ):
oc2 =(1+0.0002E,)~,
(10)
+ 0.0004E,) E,,
zyx E , ~= (I
(1 1)
where E,, is the peak strain of unconfined concrete, and can be approximated by 0.002. point 3 fco
A,
( E,,
,
E,,
can be obtained from Eqs. (1)-(3) and Eqs. (4)-(7) respectively.
):
3
--c
EC Figure 3. Tri-linear stress-strain model
zyxwvu
558 FRPRCS-6: Externally Bonded Reinforcement for Confinement
Comparison with Experimental Results
Figure 4 shows the comparison between the experimental data and the proposed model. A satisfactory agreement is observed for the proposed model. 100 h
Q. v
80 60
v1
E40
zyxwvutsrqp zyxwvutsr
+
I
r
100
2 80
92 60
zyxwvutsrq E
,$ 40
v)
20 0
20
0
0
0.02
0.01
0.03
Strain
0.04
0.05
0.005
0
(a) Mirmiran et al? 120
120 r
100
100
h
h
v
zyx
5 40
0
f: 40
m
v)
20
20
0
0
0
0.005
0.01 0.015 Strain
0.02
0.025
0
(c) Miyauchi et a1.8
100
80 v
;60 al
2 40 v)
O.O1 Strain
0. 02
0. 03
(d) Toutanji 100
-
80
-
zyxwvutsrqp h
h
0.02
;60
60
120
0.015
80
80 v
2
O.O!
Strain
(b) Hosotani et a1.4
LC3
20 0
n "
0
0.01 Strain 0.02
(e) Saafi et a1.l'
0.03
0
0.01 Strain 0.02
(QXiao et aI.
Figure 4. Comparison between the proposed model to test results
0.03
zy z
Stress-Strain Relationsfor FRP-Confined Cylinders 559
CONCLUSIONS
(1) The effectiveness coefficient of FRP is related to the value of f#Lo, the form of FRP, and the method determining the strength of FRP. The ultimate strength of FRP-confined concrete can be approximated by Eqs.( 1) to (3). (2) Methods to predict the ultimate Possion’s ratio of FRP-confined concrete are proposed, from which the ultimate strain of FRP-confined concrete can be easily calculated. The method is simply and suitable for concrete confined by normal or high modulus CFRP sheet, GFRP sheet, AFRP sheet and FRP tube. (3) The stress-strain response of FRP confined-concrete can be predicted by a tri-linear stress-strain model. The model is simply, and compares favorably with many existing test results by other researches. ACKNOWLEDGEMENT Financial support of partial work of this paper from the National High Technology Research and Development Program of China (863 Program) under grant 200 1AA336010 is gratefully acknowledged.
zyxwvu zyx
REFERENCES
1. Michael, N.F., Khalili, H., “Concrete Encased in Fiberglass-Reinforced Plastic”, ACI Structural Journal, November-December, 1981, pp.440-446. 2. Ahmad, H., Khaloo, A.R. and Irshaid, A., “Behavior of Concrete Spirally Confined by Fiberglass Filaments”, Magazine of Concrete Research, N0.156, 1991, ~ ~ 1 4 3 - 1 4 8 . 3. Mirmiran, A. and Shahawy, M., “Behavior of Concrete Columns Confined by Fiber Composite”, Journal of Structural Engineering, ASCE, V01.123, No5, 1997, ~ ~ 5 8 3 - 5 9 0 . 4. Hosotani, M., Kawashima, K. and Hoshikuma, J. “A Stress-Strain Model for Concrete Cylinders Concrete by Carbon Fiber Sheets”, Concrete Structures and Pavements, JSCE, No.592, V-39, 1998-5, pp37-pp52. 5 . Nakatsuka, T., Komure , K. and Tagaki, K., “Stress-strain Characteristics of Confined Concrete with Carbon Fiber Sheet”, Concrete Research and Technology, Vo1.9, July 1998, pp65-78. 6. Samaan, M., and Mirmiran, A. and Shahawy, M., “Model of Concrete Confined Fiber Composite”, Journal of Structural Engineering, ASCE,
zyxwvuts zyxw zyxwvu
560 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
zy
V01.124, No9, 1998, ~ ~ 1 0 2 5 - 1 0 3 1 . 7. Harries, K.A., Kestner, J. and Pessiki, S., “Axial Behavior of Reinforced Concrete Columns Retrofit with FRPC Jackets”, Proceeding of Second International Conference on Composite in Infiastructure (ICCI’98), USA, pp4 11-425. 8. Miyauchi, K., Inoue, S. and Kuroda, T., “Strengthening Effects with Carbon Fiber Sheet for Concrete Column”, Proceedings of the Japan Concrete Institute, Vol. 21, No.3, 1999, pp1453-1458. 9. Toutanji, H.A. “Stress-Strain Characteristics of Concrete Columns Externally Confined with Advanced Fiber Composite Sheets”, ACI Materials Journal, V.96, No.3, 1999, pp397-404. lO.Saafi, M., Toutanji, H.A. and Li, Z., “Behavior of Concrete Columns Confined with Fiber Reinforced Polymer Tubes”, ACI Materials Journal, V01.96, NO.4, 1999, ~ ~ 5 0 0 - 5 0 9 . 1 1. Spoelstra, M.R. and Monti, G., “FRP-Confined Concrete Model”, Journal of Compositefor Construction,August, 1999, pp. 143-150. 12.Xia0, Y. and Wu, H., “Compressive Behavior of Concrete Confined by Carbon Fiber Composite Jackets”, Journal of Material in Civil Engineering, ASCE, Vol. 12, N02,2000, pp139-146. 13.Vintzileou, E., “An Empirical Model for Predicting the Properties for Concrete Confined by Means of Composite Materails”, FRPRCS-5,200 1, Cambridge, UK, pp845-853. 14.Xia0, Y. and Wu, H., “Concrete Stub Columns Confined by Various Types of FRP Jackets”, Proceeding of the International Conference on FRP Composite in Civil Engineering(CICE’2001), 200 1, Hong Kong, China, pp293-300. 15.Lam, L. and Teng, J.G., “A New Stress-Strain Model for FRP-Confined Concrete”, CICE ’2001,Hong Kong, China, pp283-292. 16.Karabinis, A.I., and Rousakis, T.C. “A Model for the Mechanical Behavior of the FRP Confined Columns”, CICE’2001, Hong Kong, China, pp3 17-325. 17.And0, T. and Wu, Z.S., “Study on Strengthening effect of Compressive Concrete with Hybrid FRP Sheets”, Proceedings of the 55* Annual Conference of the Japan Society of Civil Engineering, September, 2000.
zyx
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan QWorld Scientific Publishing Company
zyxw
STRESS-STRAIN RELATIONSHIP FOR FRP-CONFINED CONCRETE PRISMS G. WU',2, Z. WU2 AND Z. LU' 'College of Civil Engineering, Southeast University, China 'Department of Urban & Civil Engineering, Ibaraki University, Japan
Based on the analysis of more than one hundred concrete prisms confined with FRP, an analytical method for predicting the initial peak stress and strain values of FRP-confined concrete prisms is presented. The ultimate stress and strain of FRP-confined concrete prisms can be calculatedthrough modifying the corresponding ultimate stress and strain of equivalent cylinder concrete confined with equivalent FRP. Two models which can be applied under different conditions are suggested to predict the stress-strain relation of FRP-confined concrete prisms. INTRODUCTION In recent years, several studies of concrete square or rectangular columns confined by FRP were reported in literature,2273 83 12, l 3 but the stress-strain models of FRP-confined concrete prisms are still not conducted well. Existing ones were mostly proposed based on the models of steel-confined concrete. It is realized that directly applying the models of steel-confined concrete to the case of FRP-confined concrete may result in overestimating the strength because the steel-confined concrete behaves very differently from FRP-confined concrete. This paper puts forward a new method to predict the initial peak stress, initial peak strain, ultimate stress and ultimate strain of FRP-confined concrete based on the analysis of results of more than one hundred specimens. In addition, two stress-strain models are also suggested to predict the stress-strain relation of FRP-confined concrete prisms. EXPERIMENTAL OBSERVATIONS More than one hundred experimental results from existing investigations are used in this paper. The available experimental data covers a wide range of values for several parameters including concrete strength and type of FRP. A typical stress-strain curve of FRP-confined concrete prisms is shown in Fig. 1. After point A, the curve of stress-strain relationship may be either descending or ascending due to the reinforcement level. In this paper, the
zyxwvu zyxwv zyx FJ
562 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
Point A is defined as an initial peak point, and the ultimate Point B or Point C corresponds to the fracture of FRP reinforcement.
zy
Ultimate point 0
-
C
& Figure 1. Typical stress-strain curve of FRP-confined concrete prism
In order to propose different stress-strain models, the calculations of the stress and strain values corresponding to the initial peak point and the ultimate point are first investigated based on regression analysis. During the regression analysis, some unreasonable data such as ones due to premature failure and some very scattered ones are removed, but all the data are considered in the comparison between the proposed models and experimental results. INITIAL PEAK STRESS AND STRAIN OF CONFINED CONCRETE Based on the analysis of existing experimental results, it can be found that the volumetric ratio of FRP to concrete, the modulus of FRP and the modulus of concrete will significantly affect the initial peak stress and strain. There is a direct proportion between the modulus of concrete and the square root of compressive strength of concrete; therefore, the ratio of elastic modulus
zy zyxwvu
between FRP reinforcement and concrete can be expressed as
/&
Ef
,
and a factor A can be introduced to predict the initial peak stress and strain of FRP-confined concrete prisms, as
where pf is the volumetric ratio of FRP to concrete, and
Ef the modulus of FRP,
Lothe uniaxial compressive strength of concrete cylinder.
zyxw zz
zyxw
Stress-Strain Relationsfor FRP-Confined Prisms 563
Initial Peak Stress
Through a regression analysis, the peak stress of confined concrete is approximated as follows (Fig.2):
2= 1+ 0.0008a1k1A L
where
(2)
O
zy
is the compressive strength of unconfined concrete prism, crcp the
initial peak stress of FRP-confined concrete prisms, and a, the influence coefficient of concrete strength which can be expressed as: L3tl
"1
=--L o
-
30 L o
Moreover, k, is the influence coefficient of high modulus FRP, which is taken the value of 1.O when Efis less than or equal to 250 GPa, or
d w (unit
GPa) when Efis larger than 250 GPa.
2r
0 ' 0
zyxwvut I
2 0 0 a , ~ 400
800
600
zyxwvutsr zyxwv
Figure 2. Regression equation or initial peak stress
Fig.3 shows the comparison between different test data from existing studies3-5, 7-10, 13, 14 . A good agreement is observed. 100 -
P
-
5 6 0
-
3
= Rochette
Mirmiran Nakade 0 HoE(ltm1(96) *Hasotm1(98) .Wakatarka
I. +
2 8 0
0
thao
x
svter
+I5%
-15% -15%
-
e40
3W 20 P
t;o
G
0
20
40
60
80
100
Predicted peak stress (MPa) Figure 3. Comparison of proposed model with different test results
564 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
z
zyxwvu zy zyx zyxwvu
Initial Peak Brain
The peak strain of FRP-confined concrete can be approximated by (Fig.4 ):
5 = 1+ 0.0034a,k2/Z
(4)
where E,, ,.cCp are the peak strain of unconfined concrete and FRP-confined
concrete respectively, and E,, can be taken as 0.002, k2 is the influence coefficient of high modulus FRP, which is taken by 1.O when Elis less than or equal to 250GPa, or taken by 250/E, (unit GPa) when Ef is greater than 25 OGPa. A good agreement is also observed from the comparison between experimental data and the proposed model (Fig.5).
4 j
0 ' 0
zyxwvu 400
200
600
a?
Figure 4. Regression equation for initial peak stress 0.012
0.008
0.004
0 0
0.004
0.008
0.012
Predicted peak strain Figure 5. Comparison of proposed model with test results
ULTIMATE STRESS AND STRAIN OF CONFINED CONCRETE
In order to consider the influence of FRP lateral confinement, an equivalent cylinder is defined to calculate the ultimate stress and strain of FRP-confined
zyx
Stress-Strain Relations for FRP-Confined Prisms 565
concrete prisms. The diameter of equivalent cylinder D is considered to be the length of longer side of the rectangular section (Fig. 6 ) . Ultimate Stress
zyxwv zyxwvu zy
The ultimate stress of FRP-confined prisms can be approximated through reducing the ultimate stress of equivalent cylinders confined with equivalent FRP by a factork, . fc,
=k3Lc
(5)
Lc
where f,, is the ultimate stress of FRP-confined concrete prisms, is the ultimate stress of equivalent cylinders confined with the same FRP reinforcement around the prisms, which can be easily predicted by the model proposed by the author^'^. Through the data analysis, the regression equation of k3 can be expressed as:
zyxwvu zyxw
where r is the ratio of the radius comer and h is the length of the longer side of a section (Fig. 6). Equi val ent cyl i nder 7
Figure 6 . Concept of equivalent cylinder Fig.7 shows the comparison between experimental data and the
zyxwvuts
zyxwvutsr
566 FRPRCS-6: Externally Bonded Reinforcement for Confinement
proposed analytical model, a favorable agreement is observed for the proposed model.
I
+15%
20
40
60
80
100
Predicted ultimate stress ( m a ) Figure 7. Comparison of proposed model with test data
zy zyxwvu zyxwvu
Ultimate Strain
The ultimate strain of FRP-confined concrete prisms can also be approximated by reducing the ultimate strain of equivalent cylinder concrete confined with equivalent FRP using a different factor k 4 ,that is, Em
(7)
= k4Ecc
where E, is the ultimate strain of FRP-confined concrete prisms, E,, the ultimate strain of equivalent cylinders confined with equivalent FRP reinforcement and can be easily predicted by the models suggested by the authors15.The regression equation of k4 can be expressed as:
Er I 2 5 0 (unit GPa) (8) 250
Er >250
STRESS-STRAIN RELATIONSHIP
Two models for predicting the stress-strain response of FRP-confined concrete prisms are suggested herein. Model I
A parabolic equation is used to define the stress-strain curve of FRP-confined
zyx
Stress-Strain Relations for FRP-Confined Prisms 567
zyxw
concrete in the first region before the initial peak point, a curvilinear equation is used to predict the stress-strain relationship in the second region, the curvilinear equation being first proposed for steel-confined concrete by other researcher^'^, but some coefficients are simplified here. The following expressions are obtained for Model I (Fig. 8).
zyxw zyx
"1
Inital peak p3nt
0'
E
zyxw CP
Figure 8. Stress-strain curve of Model I
oc= o c p ( 2 x - x 2 )
xll
A l-xA
x>l
o,=x
e
(9)
wherex=Ec/EcP, A=-5130B2+44B-0.778, B = o , / ( 1 0 6 ~ c p ) .
zyxwvut zyx
The ultimate stress can be calculated by Eq. (5). It will result in determination of the whole stress-strain curve of the confined concrete. Model I is valid only when the confinement effectiveness is relatively low and the post peak behavior shows a descending response. The applicable range of < 0.14 is suggested, in which J; is the lateral confinement
J/Ao
modulus of equivalent cylinder due to FRP, and f,b is the uniaxial compressive cylinder strength of unconfined concrete. Fig. 9 shows the comparison between the proposed model and some experimental results from existing investigations3,5, 9, 13.
568 FRPRCS-6: Externally Bonded Reinforcement for Confinement 70
r
50
0
0.002
zyx
r
zyxwvu
zyx zyxwvu
0.004
0.006
Strain
0.008
(a) Hosotani3 and Nakatsuka'
0.01
0
0.005
0.01
0.015
0.02
0.025
Strain
(b) Nakadeg and ZhaoI3
Figure 9. Comparison of Model I with experimental results
Model II
The first portion of stress-strain curve is considered to be parabolic, while the second one is idealized to be linear based on the experimental observations. The initial peak stress, initial peak strain, ultimate stress and ultimate strain can be calculated by Eqs. (2), (4),(5) and (7), respectively. Model I1 can be expressed as:
The predicted equations for the ultimate strain of equivalent cylinder suggested in different papersI5 is valid only when the concrete is confined
zyx zyx
zyxwvu zyxwvutsrqp zyxwvutsrqpo Stress-Strain Relations for FRP-Confined Prisms 569
with a sufficient amount of FRP reinforcement. Model I1 is considered to be 2 0.14 , and used to evaluate some experimental applicable for results4, ~ , I I 14 , , Good agreement could be seen in Fig. 11.
J;/xo
50 I
0
0.005
0.01
0.015
0.02
Strain (a) Rochette’ and Pavin”
0.025
0
0.002
0,004
0,006
0,008
Strain (b) Hosotani ( 199q4and LiI4
zyxwv
Figure 11. Comparison of Model I1 with experimental results
CONCLUSIONS
(1) A factor A is introduced to predict the initial peak stress and strain of FRP-confined concrete prisms. The model shows a satisfactory agreement with the experimental results. (2) The ultimate stress and strain of FRP-confined concrete prisms can be predicted by reducing the ultimate stress and strain of equivalent cylinders confined with equivalent FRP reinforcement using two different factors k3 and k4. (3) Two different models are suggested for the stress-strain response of FRP-confined prisms with both post strain hardening and strain softening behavior. Both models were found to agree with existing test results.. ACKNOWLEDGEMENT Financial support for partial work of this paper from the National High Technology Research and Development Program of China (863 Program) under grant 2001AA336010 is gratefully acknowledge.
REFERENCE 1. Xing, Q.S., Weng, Y.J. and Shen, J.M, “Experimental Study on the Complete Stress-strain Curve of Confined Concrete”, Proceeding of National
zyxwvuts zyxwvu
570 FRPRCS-6: Externally Bonded Reinforcement for Confinement
Conference on Application and Theory of Common and Con$ned Concrete, YinTai, China, October, 1987. 2. Saadatmanesh, H., Ehasni, M.R. and Li, M.W., “Strength and Ductility of Concrete Columns Externally Reinforced with Fiber Composite Straps”,ACI Structural Journal, Vo1.91, No.4, 1994, pp.434-447. 3. Hosotani, M., Kawashima, K. and Hoshikuma, J., “A Stress-Strain Relation of Confined Concrete Cylinders Concrete by Carbon Fiber Sheets”, Proceedings of the Japan Concrete Institute, Vol. 18, No.2, 1996, pp95-100. 4. Hosotani, M., Kawashima, K. and Hoshikuma, J., “A Stress-Strain Model for Concrete Cylinders Concrete by Carbon Fiber Sheets”, Concrete Structures and Pavements, JSCE, V-39, N0.592, 1998-5, pp37-pp52. 5 . Nakatsuka, T., Komure, K. and Tagaki, K., “Stress-strain Characteristics of Confined Concrete with Carbon Fiber Sheet”, Concrete Research and Technology,Vo1.9, No.2, July 1998. 6. Harries, K.A., Kestner, J. and Pessiki, S., “Axial Behavior of Reinforced Concrete Columns Retrofit with FRPC Jackets”, Proceeding of Second International Conference on Composite in Infrastructure (ICCI’98), USA. 7. Mirmrian, A., Shahawy, M. and et al., “Effect of Column Parameters on FRP-Confined Concrete”, Journal of Composites for Construction, ASCE, V01.2, No.4, November, 1998, pp175-185. 8. Rochette, P. and Labossiere, P., “Axial Testing of Rectangular Column Models Confined with Composites”, Journal of Compositesfor Construction, ASCE, v04, No.3,2000, ~ ~ 1 2 9 - 1 3 6 . 9. Nakade, A., Yoneoku, H. and Fuchikawa, M., “Experimental Study on the Confinement Effect of Concrete Columns Confined by Carbon Fiber Sheets”, Proceedings of the Japan Concrete Institute, Vol. 23,ko.l, 2001. 10. Suter, R. and Pinzelli, R., “Confinement of Concrete Columns with FRP Sheets”, FRPRCS-5,2001, Cambridge, UK, pp793-802. 11. Parvin, A. and Wang, W., “Behavior of FRP Jacketed Concrete Columns under Eccentric Loading”, Journal of Composites for Construction, ASCE, Vo1.5, No.3,2001, pp146-152. 12. Lam, L. and Teng, J.G., “Compressive Strength of FRP-Confined in Rectangular Columns”, Proceeding of the International Conference on FRP Composite in Civil Engineering (CICE ’2001), December 200 1, Hong Kong. 13. Zhao, T., Xie, J., “Experimental Study on Complete Stress-strian Relation Curve of CFRP Confined Concrete”, Building structure, July, 2000. 14. Li, J., Qian, J.R. and Jiang, J.B., “Study on Complete Stress-strian Relation Curve of CFRP Confined Concrete”, Proceeding of Second National Conference on Fiber-reinforced plastics for reinforced concrete structures,KunMing, China, 2002, pp157-162.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan QWorld Scientific Publishing Company
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CONCRETE CYLINDERS CONFINED BY CFRP SHEETS SUBJECTED TO CYCLIC AXIAL COMPRESSIVE LOAD
zyxwvutsrq
T. ROUSAKIS I , c. s. YOU 2, L. DE LORENZIS 3, v. T A M U ~ S', R. TEPFERS Dept. of Civil Eng., Democritus University of Thrace, Xanthi, Greece Dept. of Mechanical Eng., Pohang Univ. of Sci. and Tech., Pohang, South Korea 3 Dept. of Innovation Eng., University of Lecce, I-73100 Lecce, Italy 'Institute of Polymer Mechanics, Univ. of Latvia, Aizkraukles 23, Riga, Latvia 5 Dept. of Building Materials, Chalmers University of Tech., Goteborg, Sweden
'
The mechanical behavior of concrete confined by carbon fiber-reinforced polymer (CFRP) material is investigated. Two series of concrete cylinders are presented in this study, with compressive strength of 20.5 MPa and 49.2 MPa, and confined by CFRP sheet with 234 GPa elastic modulus. The carbon volumetric ratio ranged between 0.45% and 1.36%. Split-disk tests were performed to estimate hoop properties of CFRP sheet. The concrete cylinders were subjected to monotonic and cyclic axial compressive loading with teflon sheets inserted between concrete and steel bearing platens to reduce friction. The performance of CFRP-confined concrete in terms of strength, ductility and expansion is remarkable.
INTRODUCTION
Rehabilitation and strengthening of structures with inadequate bearing capacity has reached a level of extended design alternatives. Use of fiberreinforced polymer (FRP) materials is growing, as they tend to replace conventional steel as external reinforcement in upgrading of existing structures. Considering the mechanism of confinement in enhancement of strength and ductility of structural members, FRP materials turn to be more advantageous than steel. The linear elastic behavior of FRP reinforcement (tube or sheet) up to failure provides an ever-increasing pressure on the confined concrete core. Many experimental efforts have recently been concentrated in the investigation of the confining effect of FRP materials with a variety of mechanical and physical properties', *. The modeling of the behavior of FRP confined concrete is mostly based on semi-empirical equations3,4, while there are models based on constitutive relationships. The stress-strain response suggested by the various models is strongly dependent on the experimental data they are based on. The theory of plasticity can incorporate the unique dilation characteristics of FRP
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572 FRPRCS-6: Externally Bonded Reinforcement for Confinement
confined concrete. Recently, modified plasticity models have been developed for the reproduction of the stress-strain behavior of FRP sheet confined concrete’. In FRP-confinement, the failure criterion is the fracture of the confining reinforcement. Usually, in modeling, the ultimate strain of the jacket is taken equal to the ultimate tensile strain of the fibers. Experimental evidence testifies that the measured ultimate tensile strain ( E ~ , ) taken from FRP coupon tests is slightly lower than the ultimate strain of the fibers (given by the manufacturer). For FRP-confined specimens this strain is lower than both values6. In a recent study the reduced, effective ultimate lateral strain of FRP has been imported in modeling, improving the accuracy of semi-empirical models A two-phase experimental investigation has been performed to investigate the behavior of five concrete qualities confined by three carbon FRP (CFRP) materials (sheets and filaments) and subjected to axial compressive load*. In this paper only a part of this investigation is presented concerning two qualities of concrete cylinders, confined by CFRP sheet, in a range of volumetric ratios (pj) and subjected to monotonic and cyclic load. Split-disk tests have been performed to estimate hoop properties of FRP sheet. The enhanced mechanical behavior of CFRP sheet confined concrete is studied in terms of strength, ductility and expansion.
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’.
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EXPERIMENTS Two concrete mixtures were used, with low and high concrete target strengths respectively for the construction of cylinders with 150 mm diameter and 300 mm height. The concrete composition, strength and modulus of elasticity of the plain cylindrical specimens are presented in Table 1.
zyxwvut zyx zyxwvuts zyxwvut Table 1. Concrete mixtures.
Average proportion ofthe concrete mixture ( /m3) (w+w,)/ Strength c silica k0 w Air d i t i v e s (c+silica) W a fid powder scmd GraVel (liters) % (liters))* (kd dO-8m d:8-12 ~m d : l l - l 6 ~ n (cylidical) 20.5 201.4 1205.3 364.4 364.4 189.5 2.4 0.94 500 16.5 934.5 382.3 382.3 178 2.4 9.45 0.35 49.2
*Superplasticizer 1,33% and retarder 0,5% of binder weight (C+silica).
Cylinders Subjected to Cyclic Compressive Load 573
The FRP wrapping material was BPE Composite 300S, made of Grafil carbon fibers and epoxy resin. Data provided by the supplier are cited in table 2. Moreover split-disk tests according to ASTM D 2290 were performed to estimate the hoop properties (effective ultimate lateral strain) of the FRP sheet. Results are presented in Figure 1.
zyxwvutsrq zyxw zy Table 2. Carbon fiber properties.
GraJil Inc. unidirectional 340-700 carbon BPE Composite 300s carbon sheet Tensile Tensile Tensile Thickness, Mdth, Weight, Strength2 Modulus, Elongation, Density, (dcm') ~ype mm (@a) mm (dm') % (Ma) 300 300 1.9 1.8 Unidkctional 0.17 4500 234
C F R P - S h e e t R i n g Test
zy zyx
--C 2 Layers (b)
-1
0000
0004
0008
Layerr (n)
0 012
Strain
Figure 1 . Specimens of CFRP-ring tensile test and tensile behavior of CFRP-rings.
From the comparison in Figure 2, it can be noted that the effective ultimate lateral strain ranges from 0.5 to 0.64 times the ultimate tensile strain depending on the number of sheet layers. Hoop strength of carbon sheet ranges from 0.41 to 0.61 respectively, while modulus exhibits practically no clear variation. Overlap length of the carbon sheet was taken as 150 mm based on the preliminary tests performed on carbon sheet with the same ultimate axial strength and higher elastic modulus A total of 18 specimens of the low and high strength concrete batches (labeled L and H correspondingly) were tested under axial compressive load. Four teflon 0.2 mm sheets were used between the concrete surfaces and the bearing platens to eliminate base friction. The six plain specimens were subjected to monotonic compressive load up to failure. The twelve wrapped specimens were tested under axial monotonic or cyclic load up to failure. Two identical cylinders were wrapped with one, two and t h e e layers of CFRP with fiber orientation perpendicular to their axis. One
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zyxw
574 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
specimen was tested under monotonic load and the other under repeated load with the same loading-unloading rate. The load, axial displacement, axial strain and lateral strain were measured as shown in Figure 3.
1
1 layer (a)
1 layer (b)
zyxwvuts 2 layer (a)
2 layer (b)
3 layer (a)
3 layer (b)
Normalized values are divided by tensile properties of carbon fibers.
Figure 2. Comparison between tensile and hoop properties of carbon sheet.
LVDT #3
zyxwvu zyxw Figure 3. Instrumentation of specimens.
All specimens were conditioned at 20°C and 50% relative humidity and tested after twelve and a half months. The loading machine capacity was 5000 I&. The rate was 10 MPa I minute at monotonic and cyclic loading, similar to that of ASTM C 39/C 39M - 99 standards. The repeated loadunload cycles were related to the unconfined concrete strengthf, and the ultimate strength of confined concrete fco The load of each cycle was
zy zyxwv zyxw zyxw z Cylinders Subjected to Cyclic Compressive Load 57.5
successively increased up to 0.5&, 0.8&,f,, cfc+ 0.33cfcc-f,)),cfc+ 0.66(~&fc)} and finally up to failure. zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONML
EXPERIMENTAL RESULTS Plain concrete exhibited a brittle behavior with rather columnar type of concrete fracture due to elimination of base friction (use of teflon caps), Figure 4a. The curves of plain concrete stress-strain response are presented in Figures 5 and 6.
L batch
H batch
Figure 4.a Unconfined specimens with teflon caps after failure. Vertical cracks.
Figure 4b. Specimen of H batch with 1 layer of FRP sheet, after failure.
I
Figure 4c. Specimen of H batch with 2 layers of sheet under cyclic load after failure.
2 I D bl
i
zyxwvutsrqponm
-0.0015 -0.W Lateral smn I1
0 . W
0.0015
0.W25
0.0035
-
0.W45
Ilx,Lstra,nra
Figure 5. Axial stress - axial and lateral strain behavior of plain specimens from L and H concrete batches.
-0.001 -0.wO5
0
0 . W 0.W1 0.W15 0,002 0.WZ
0,003 0.w35
Figure 6. Stress - volumetric strain behavior of plain specimens from L and H concrete batches.
Confined specimens under monotonic or cyclic load displayed a sudden and explosive failure, after the rupture of the carbon sheet. Carbon sheet
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576 FRPRCS-6: Externally Bonded Reinforcement for Confinement
z
fracture occurred in some specimens along their height or it was focused in the upper, center or bottom part (Figures 4b and 4c). The mechanical behavior of CFRP-confined concrete for low and high strength concrete batches is illustrated through their stress-strain diagrams (Figures 7 to 10). All specimens show an ever-increasing response of expanding concrete up to failure for monotonic or cyclic mode of loading.
-0.01
-0.02 Lateral S t m n E l
0,01
0 &la
zyxwvutsrq zyxwvutsrqp 0.02
0.03
Stmn La
Figure 8. Stress-volumetric strain response of specimens from L concrete batch confined with 0, 1 , 2 and 3 layers of CFRP sheet.
Figure 7. Stress-strain behavior of specimens from L concrete batch confined with 0, 1 , 2 and 3 layers of CFRP sheet.
zyxwvut - -,-.-
I
a
5
B
-
.-
--........-
zyxwvutsrqpon zyxwvutsrqp -
0.0'
lateral strsn L I
Axm St,a,n ra
Figure 9. Stress-strain behavior of specimens from H concrete batch confined with 0, 1, 2 and 3 layers of CFRP sheet.
-0,015
-0.01 -0.W5 Volumetric Stla," 6"
0
Figure 10. Stress-volumetric strain response of specimens from H concrete batch confined with 0, 1, 2 and 3 layers of CFRF' sheet.
Up to about 0.9 of ultimate unconfined concrete load, the stress - strain response (axial, lateral and volumetric) of the composite system is dominated by the response of plain concrete. After that characteristic load, serious cracks are formed in the concrete core. The jacket interacts with expanding concrete to stabilize its disintegration and a linear stress-strain
Cylinders Subjected to Cyclic Compressive Load 577
relation is obtained up to jacket failure. An envelope-like behavior is obtained for cyclic loading-unloading mode, with gradual reduction of the concrete axial rigidity from cycle to cycle (Figures 7 and 9). However, the FRP jacket tends to prevent further concrete disintegration resulting in higher strength and ductility of confined concrete, regardless of the number of cycles (the tests included loading up to 6 cycles).
zyxw zyxwvu z zyxwvutsrq Table 3. Experimental results.
wdm
UltitmIe
Lnbels
stress
L-2 L-3t L W-lt LIC-H Lz-lt L2C-H
w-lf wc-2 H - It H-2 H-3t H HI-If HlC-H H2-lf HZC-2 H3-lf H3C-2t
17.1 23.0 20.5 41.3 48.7 57.2 63.8 63.1 73.9 50.0 50.5 47.1 49.2 79.0 75.2 83.9 79.2 100.6 108.6
Ultime (ntime W u s h i d s t r a n Lateralstran 4Ehtieiity
0.0014 0.0033 0.0026 0.00%
0.0170 0.0142 0.0191 0.0142 0.0210 0.0017 0.0019 0.0016 0.0017 0.0039 0.0050 0.0035 0.0033 0.0062 0.0076
-0.cco2
-0.ooo4 -0.0003 -0.0080 -0,0102
25.4 23.9 24.4
-0.0064 -0.M)90
-0.0058 -0.0082 -0.0003 -0.0007 -0.0012
-0.ooo7 -0.0044 -0.0074 -0.0026 -0,0022 -0.0048 -0.0062
N d i z t d Nonmliztd Nonmliztd Laad hid&ain Lateralstmin
2.02 2.38 2.80 3.12 3.08 3.62
3.69 6.54 5.46 1.35 5.46 8.08
2667 34.00 21.33 30.00 19.33 27.33
1.61 1.53
2.29 2.94 2.06 1.94 3.65 4.47
6.29 10.57 3.71 3.14 6.86 8.86
40.4 35.5 34.0 36.7
1.70
1.61 2.04 2.21
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The test results of confined specimens are presented in Table 3. The labels given are decoded as follows: target low (L) or high (H) concrete strength, number of sheet layers (1 or 20r 3), mode of loading (blank for monotonic or Cyclic), number of identical specimen and finally use of teflon or not (t or blank). The normalized values of ultimate stress and strain are presented (divided by the corresponding values of unconfined concrete). For 20.5 MPa concrete strength and 3 layers of jacket the normalized ultimate load at failure varied from 3.08 - 3.62 while for 49.2 MPa the corresponding values ranged from 2.04 - 2.21 times the load of plain concrete. The normalized axial strains were between 5.46 and 8.08, and between 3.65 and 4.47 for the two concrete strengths respectively. The
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578 FRPRCS-6: Externally Bonded Reinforcement for Confinemeni
normalized lateral strain had similar reducing tendency for higher strength concrete. In cyclic loading of confined specimens, the variation of strength and ductility was similar to that of the monotonic mode of load. In fact the failure values were higher. From the stress - volumetric response diagrams it could be noted that the carbon jacket tends to control concrete expansion. (Figures 8 and 10). For the same confinement volumetric ratio, the lower concrete strength results in better control of concrete expansion. The lateral strain is better restricted in lower strength concrete. For specimens subjected to cyclic loading, the same remarks are valid. Increasing the volumetric ratio of carbon jacket (more sheet layers), led to increase in the rigidity in fiber direction of the jacket. For plain concrete strength (20.5 MPa), the normalized values of ultimate load in Table 3 revealed an increase from 2.02 for one layer ofjacket, to 3.62 times the load of plain concrete for three layers. The increase in ductility varied from 3.69 to 8.08 correspondingly. From the normalized values in Table 3, it could be noted that the increase in both strength and ductility of the confined concrete (for every additional layer of jacket) was lower when the plain concrete strength was higher. However, high strength concrete specimens wrapped with only three layers of carbon sheet reached the strength of 108.6 MPa. No difference was noted for specimens under cyclic mode of loading. During loading, the jacket was under a tri-axial state of stress. The ultimate strain at failure of the carbon FRP jacket for the 20.5 MPa concrete strength ranged from 0.008 for one layer to 0.0058 for three layers. For the 49.2 concrete strength specimen with three layers of CFRP the strain at failure reached 0.0048. It is obvious that the strain at failure of the jacket was lower than the half of the tensile elongation at failure of the carbon fibers, (Table 2). Specimens subjected to cyclic load showed a relatively higher ultimate lateral strain.
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CONCLUSIONS
The response of the composite system, concrete-FRP jacket, depends on the material mechanical properties of the concrete and the carbon FRP sheet, the performance of the wrapping application performance, the overlap length, the volumetric confinement ratio as well as the mode of loading. Also, the friction between the steel bearing platens and the concrete affects the mode of failure of confined concrete. With the use of teflon, the mode of failure changes from shear cone to columnar, while in high strength concrete, a decrease in ultimate stress is observed.
Cylinders Subjected to Cyclic Compressive Load 579
The results obtained from cylindrical concrete specimens confined by BPE Composite 300s carbon FRP sheet, with 150 mm overlap length, use of four-layer teflon caps and tested under monotonic and cyclic axial compressive load, give a bilinear stress-strain relation and an ever increasing strength response for increasing imposed axial deformation of the concrete up to failure. Under cyclic loading the highest strength, 108.6 MPa at a strain of 0.0076 is obtained for 49.2 MPa concrete wrapped with 3 layers (structural thickness 0.35 1 mm) of CFRP. The CFRP-confined concrete fails when the carbon sheet is fractured. The lateral measured strain at failure of the confined concrete on the FRP surface is lower than half of the tensile elongation at failure of the carbon fibers. The ultimate strain of the jacket for the 20.5 MPa concrete shows a slight decrease with the number of carbon sheet layers, from 0.008 for one layer to 0.0058 for three layers. For high concrete strength, there is a similar tendency but it is not so clear. In general the strain at failure of the jacket fibers is lower than the nominal tensile elongation at failure of the carbon fibers.
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ACKNOWLEDGEMENT
The investigation was sponsored by European Commission - TMR Network, ConFibreCrete “Research leading to the Development of Design Guidelines for the use of FRP in Concrete Structures” and Ake and Greta Lissheds Foundation, SEB Bank, SE-106 40 Stockholm. REFERENCES
1. Samaan M., Mirmiram A., Shahawy M.: Model of Concrete Confined by Fiber Composites. ASCE Journal of Structural Engineering, I? 124,
No 9, September 1998. pp. 1025-1031. 2. Matthys S., Taerwe L., Audenaert K.: Tests on Axially Loaded Concrete Columns Confined by Fiber Reinforced Polymer Sheet Wrapping. 41h International Symposium on Fiber Reinforced Polymer Reinforcement for Reinforced Concrete Structures, 1999. pp. 2 17-228. 3. Saafi M., Toutanji H.A., Li Z.: Behavior of Concrete Columns Confined with Fiber Reinforced Polymer Tubes. ACI Materials Journal, V: 96, NO. 4, July - August 1999. pp. 500-509.
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580 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
4. Spoelstra M. R., Monti G.: FRP-Confined Concrete Model. ASCE Journal of Composites for Construction, V. 3, No. 3, August 1999. pp. 143-150. 5. Karabinis A. I, Rousakis T.C.: Concrete Confined by FRP Material: A Plasticity Approach. Engineering Structures, Elsevier, 24 (2002). pp. 923-932. 6. Rousakis T.: Experimental investigation of concrete cylinders confined by carbon FRP sheets, under monotonic and cyclic axial compressive load, Research Report, Chalmers University of Technology, Goteborg, Sweden. p. 87. 7. De Lorenzis L.: A Comparative Study of Models on Confinement of Concrete Cylinders with FRP Composites. Chalmers University of Technology, Division of Building Technology, Work No 46. Publication 01 :4. Goteborg, 2001-06-30. p.73. 8. Tamuis V., Chi-Sang You, Tepfers R. (2001), “Experimental Investigation of CFRP-confined Concretes under Compressive Load”. Institute of Polymer Mechanics, University of Latvia, Aizkraukles 23, LV- 1006 Riga, Latvia and Division of Building Technology, Chalmers University of Technology, S-412 96 Goteborg, Sweden, December 2001. p. 68.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan @WorldScientific Publishing Company
CONCRETE CYLINDERS CONFINED BY PRESTRESSED CFRP FILAMENT WINDING UNDER AXIAL LOAD
zyxwvutsrqponmlkjih
T. ROUSAKIS I ,
c. s. YOU 2 , L. DE LORENZIS 3 , v. TAM& ', R. TEPFERS
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Dept. of Civil Eng., Demokritus University of Thrace, Xanthi, Greece Dept. ofMechanica1 Eng., Pohang Univ. ofSci. and Tech., Pohang, South Korea 3 Dept. of Innovation Eng., University of Lecce, 1-73100 Lecce, Italy Institute of Polymer Mechanics, Univ. of Latvia, Aizkraukles 23, Riga, Latvia Dept. of Building Materials, Chalmers University of Tech., Goteborg, Sweden I
Concrete cylinders confined by CFRP and loaded axially in compression ,display a distinct bilinear stress-strain response with a transition zone around the ultimate strength of unconfined concrete where the decrease in modulus occurs. Prestressed confinement would be favorable in raising the load level of the transition zone and hence improved performance of strengthened columns. A consequent investigation was executed on concrete cylinders of 5 different strengths and confinements with 3 different prestress levels. Theoretical prediction and experiments showed that prestress of the confining device elevates the transition zone, which has importance for the stability of confined concrete columns. The ultimate load is not affected by the degree of prestress. The normalized increase in ultimate load by prestressed confinement decrease with higher concrete strength.
INTORODUCTION Most R&D and field application projects were concentrated on concrete column repair and strengthening using fiber composite materials. FRPmaterials can be used to upgrade civil engineering structures and this could be the most effective way of introducing fiber composites into widespread civil engineering use '. Experimental studies have shown that concrete cylinders confined by CFRP sheets, when loaded in uniaxial compression, display a distinct bilinear stress-strain response with a transition zone around the ultimate strength of unconfined concrete. The slope of the branch after the transition zone depends on the volumetric ratio and the mechanical properties of the confining device and is always lower than that of the initial branch 2, 5, . The use of wrapped concrete columns above the transition zone is questionable because of internal damage of concrete and 23
zyxwvuts 42
582 FRPRCS-6: Externally Bonded Reinforcementfo r Confinement
low tangential slope of load-displacement curve. The lower E-modulus above the transition zone may create problems for columns to take advantage of increased strength by confinement due to reduced Euler stability load '. Therefore it would be favorable to raise the load level of the transition zone to achieve better stability at least up to this load level. This function could be achieved by prestressing the confining device. The objective of this paper is to study the behavior of concrete confined by prestressed CFRP filament winding under axial compressive load. The investigation was executed with standard concrete cylinders of diameter 150mm and height 300mm with 5 different concrete strengths that cover nearly the whole range in practice. The parameters taken under consideration for the confinement were 3 levels of prestress. EXPERIMENTAL PROCEDURE
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A total of 30 confined standard cylinder specimens were prepared from five concrete batches with different strengths, C20; C40; C60; C80 and C100. Additionally 15 plain concrete cylinders (three specimens from each batch) were prepared and subjected to monotonic compressive load up to failure as control specimens. In each batch of confined concrete, three different specimens having different prestress levels were prepared and tested under increased repeated load-unload cycles up to failure. Characteristics of Confinement
The concrete cylinders were confined by winding around the cylinders prestressed carbon fiber filament impregnated with epoxy resin. The yarn of carbon fiber Zoltek Panex33 was used for confinement. The producer's data of fiber and resin are given in Table 1. Split-disk tensile test was carried out, following the ASTM standard D-2290, to estimate the properties of uni-directional composite confinement. The diameter of the split disk was 150 mm (the same as for concrete specimen) and the intensity of winding was 5 yams per cm (the same as for real confinement). The volume fraction of fibers was not determined and the strength and modulus of fiber was calculated neglecting the matrix. Results are presented on the third line of Table 1, and it is seen that strength and elongation of FRP jacket is only about half of the values of the filament.
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Cylinders Confined by Prestressed Filament Winding 583
zy zyxwvut zyxwvu zyxwvuts Table 1. Mechanical properties of materials for confinement Tensile Strength (MPa)
Material
Carbon yarn (Zoltek PANEX33) (Producer k data) Epoxy resin (NMBPE 41 7) Fiber properties in composite (Tensile test on split disk)
Tensile Modulus (GPO)
Elongation
?A)
3800
228
1.6
50
2
3
1807
218
0.85
Cross-sectional Area
1.86 nunz (Fiber Diameter: 7.2 pm)
Specimen Preparation Five different concrete mixtures were designed to cover compressive strength (measured on cubes with 150-mm side length) ranging from 20 MPa to 100 MPa. For the fabrication of C80 and ClOO batches (corresponding to concrete with 80-MPa and 100-MPa compressive strength, respectively), silica fume and additives were used. The additives were Sikament-56 super-plasticizer and Sika retarder and both were added as a percent of binder (cement and silica fume). Table 2 shows the mechanical properties of concrete.
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Table 2. Mechanical properties of concrete from experiments Ultimate Stress (MPa) Batch Cylinder c20 C 40 C 60 C 80 c 100
20.5 40.0 44. 49.2 61.6
Cube (I50mm) 34.2 60.5 76.2 81.4 104.1
Elastic Modulus Eb
(GPO)
24.40 34.03 37.83 36.65 39.09
Poisson's Ratio V
0.14 0.17 0.19 0.18 0.19
After taking the concrete specimens out of their molds and curing them, a primer resin was applied on the concrete surface so that the proper underlay for high performance of confinement could be provided. Another type of epoxy resin was applied to fill some cavities and pores on the concrete surfaces. After finishing the treatment of the concrete surface, the confining process with prestressed carbon filaments was performed. The filament fed from the creel was received by the forcing device, where the
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584 FRPRCS-6: Externally Bonded Reinforcement for Confinemen1
zy
weight of designed prestress level was suspended from the yarn. The applied forces were 300, 600 and 800 N, resulting in prestress levels of 80, 160 and 210 MPa (indicated in the following as prestress levels 1, 2 and 3, respectively) and then the winding process was conducted around the rotating concrete cylinder. The main resin was applied on the concrete cylinder surface and filament before winding. Figure 1 shows the schematic diagram of the filament winding process and a concrete cylinder confined by filament winding. The carbon fiber ratio for specimen sections was 2.48%.
zyxwvu Winding
Tension Specimen
Figure 1 . Winding process and fabricated specimen (dimension: mm)
Two strain gauges were arranged perpendicularly to each other on each cylinder in order to measure the axial and lateral strain at the mid-height and other two were arranged on the opposite side. The specimens were centered on the platen of the loading machine to ensure that there was no load eccentricity and four teflon sheets (0.2-mm thick) were used to reduce the friction between concrete surfaces and loading platens. All specimens were tested in load-controlled mode at a loading rate of 10 MPdminute in axial compression until failure using a hydraulic 5000-kN column-testing machine. For the confined specimens, the maximum load levels in the cyclic loading were designed to be 0.5 o i p ,0.8 oip,oip,2 nip,3 oip and so forth up to failure, oipbeing the strength of plain concrete. Minimum load level at each cycle was 0 kN.
EXPERIMENTAL RESULTS The test results, compressive strength, ultimate axial and lateral strains are presented in Table 3 and the normalized values of ultimate strength are presented in Figure 2. The normalized effect of confinement on compressive strength decrease when concrete strength increases. The same tendency is observed for normalized ultimate axial strain but it is not so
zyxwv Cylinders Confined by Prestressed Filament Winding 585
clear. The normalized lateral strain decreases and then seems to increase with concrete strength.
zyxwvuts Batch
Figure 2. Normalized compressive strengths, ultimate compressive axial strains and ultimate lateral strains of filament wound concretes.
zyxw zyxwvutsrq Table 3. Filament wound concrete under cyclic compressive load
Specimen Label 20PIC 40PlC 60PlC 8OPIC l0OPlC 20P2C 40P2C 60P2C 80P2C lOOP2C 20P3C 40P3C 60P3C 80P3C 100P3C
Compressive Strength, (r Tc (MW *
I
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.
(r I c
/ (r zp
Jltimate Axial Ultimate Lateral Strain, .zZcc/E,e Strain, 61 cc
&I c&l
c
&I cc
105.08
5.14
0.0293
11.28
-0.0080
26.53
147.12 163.91 187.78 160.77
3.67 3.70 3.82 2.61
0.0212 0.0184 0.0215 0.0112
12.47 10.81 12.63 6.24
-0.0085
-0.0079 -0.0 103 -0.0080
12.15 13.23 14.66 19.93
109.10
5.33
0.0272
10.44
-0.0074
24.72
162.73 159.30 168.12 171.91
4.06 3.59 3.42 2.79
0.0270 0.0140 0.0184 0.0131
15.85 8.25 10.85 7.28
-0.0106 -0.0064 -0.0076 -0.0082
15.18 10.71 10.88 20.61
100.15
4.90
0.0300
11.53
-0.0068
22.68
139.14 155.90 180.94 154.53
3.48 3.52 3.68 2.51
0.0196 0.0133 0.0192 0.0086
11.53 7.80 11.27 4.76
-0.0067 -0.0076 -0.0090 -0.0065
9.58 12.66 12.89 16.15
In Figure 3, the stress-strain curves are presented for specimens with C20 and ClOO concrete and all 3 prestress levels, under to cyclic loading. For concretes of higher strength, is C100, a longer initial range is observed than that of the plain concrete. The load-unload behavior is stiff with modulus about that of initial range. Prestressing by automated filament winding technique contributed to equal stretching of all fibers thereby making them effective. The confining action of prestressed carbon filament on concrete cylinders was much more effective than confinement without prestress4, The confining action was engaged from early loading stage by
'.
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586 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
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the prestressed confining device, which delayed the formation of internal cracks. As the load was increased above the transition zone, internal concrete damages were formed and developed so that the axial rigidity of concrete decreased. The monotonic behavior corresponded to the envelope curve of cyclic loading. A notable enhancement in strength and ductility of the concrete was observed as a result of confinement.
Strain
iZ,I
zyxwvutsrqp
SpPcimm Label : ZOPZC
Strain
Specimen Label : ZODC
Strain
Strain
Speeimrn Label : IOOPlC
Shin
SpeCimen Label : lOOP3C
Strain
Figure 3 . Compressive behaviors of filament wound concretes.
CONFINING EFFECT IN ELASTIC REGION AND TRANSITION ZONE Comparative investigations were carried out by varying the prestress level of carbon filament confinement and the concrete strength. The prestress level did not influence the critical parameters of specimen fracture. The
z zyxwv
Cylinders Confined by Prestressed Filament Winding 587
specimens from the same concrete batch with different prestress level showed similar ultimate compressive behavior. Another comparison was done according to the stress of transition zone 0; or the knee point (Figure 3). It is difficult in the transition zone to exactly determine where the knee point really is. The knee point was estimated as the point in the transition zone where an elastic performance ends. The normalized measured stresses are presented in Table 4. It can be noted that the high strength concretes of C80 and ClOO batches showed a more prolonged transition zone in a way improving the elastic behavior of concrete by the prestressed confinement. Table 4. Experimental effect of confinement to the transition zone Concrete Batch Values
c20
C40
C60
C80
CIOO
prestress level 1 (80 MPa) Measured 0: 1
1.41
1.32
1.40
1.38
1.30
0iP
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prestress level 2 (1 60 MPa) Measured 0; I
1.61
1.37
1.44
1.48
1.43
prestress level 3 (210 MPa) * I oZp * Measured u2
1.41
1.32
1.13
1.42
1.45
0iP
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Some elementary expressions’ to estimate the confinement effect on behavior of concrete are given below. Concrete confined by prestressed filament is expected to have a bilinear stress-strain response. This curve is characterized by initial modulus Econf,stress strain values of elastic limit (a knee point) 0: ,E: , tangent modulus of inclined part of stress-strain curve, and ultimate strain of composite confinement. Considering only elastic behavior of concrete and confinement, the elementary formulas can be derived for the first part of load-displacement curve (regarded as initial elastic region) and transition zone. From the deformation compatibility between the confinement and concrete surface, the lateral tensile fiber stress uI(a confining pressure arising against the concrete lateral expansion) increases continuously as the lateral strain E/ increases with the following relation:
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588 FRPRCS-6: Externally Bonded Reinforcement for Confinement
where E, is the elastic modulus of the confining device and h and R are the thickness of confining device and radius of concrete cylinder, respectively. From Hooke’s Law and elementary transformations, the stress-strain relation of confined concrete specimen in axial direction in the initial elastic region can be expressed as follows:
and
E,.,,/ = Eb(1 - v + l / k ) / ( l - v - 2v2 + 1/ k )
( 31
k = (E,h)/(E,R)
(4)
where Eb is the modulus and v the Poisson’s ratio of concrete. Assuming that the knee point (elastic limit) on stress-strain curve of confined concrete is caused by micro cracking of concrete, and assuming that lateral strain of confined concrete at knee point equals the ultimate lateral strain of plain concrete, find the axial stress o:on knee point if found to be: (5)
o:/o;p= l + ( l - v ) k ,
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where oiPis ultimate compressive stress of plain concrete. Addition of prestress oc0of confinement results in following relation after some transformations:
02 = {1+ (1- v)k} +-T{ h
oco
DZP
R
ozp
(1 - v)k + 1} ---1
1
(6)
The first term on right hand side reflects the influence of confinement without prestress and the second term corresponds to prestress. The efficiency of confinement is characterized by parameter k, [Eq. (4)] ( k + 00 for completely stiff confinement, and k +- 0 in the absence of confinement). In Table 5, the main characteristics of confined concretes in the elastic region are calculated using the above equations. For a given value of k ,the initial modulus of confined concrete E,,,/ [Eq. ( 3 ) ] is negligibly larger than the unconfined value, and the axial stress at the elastic limit for the confined
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Cylinders Confined by Prestressed Filament Winding 589
concrete without prestress [Eq. ( 5 ) ] exceeds the ultimate strength of plain concretes by only 5 to 10 percent. Conversely, the prestressed confinement [Eq. (6)] increases substantially the elastic limit load of confined concrete samples. The relatively higher increase of nonlinearity limit is predicted for low strength concrete. However this latest prediction is not confirmed by the measurements (Table 4). There could be two reasons. The assumption of maximum limit strain criterion being independent on hydrostatic pressure, which was used in derivation of above formulas, is evidently oversimplified and should be specified for concrete. Second, the fuzzy nature of transition zone makes it difficult to estimate the real knee point position.
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Table 5. Estimated effect of confinement to the elastic region and knee point Concrete Batch Values
k
Em,
Eb
Calculated 0: / oip without prestress
Calculated a: / o:, prestress level 1 (80 MPa) . Calculated 0: / ozp prestress level 2 (160 MPa) Calculated 0: / o:, prestress level 3 (210 MPa)
c20
C40
C60
C80
ClOO
0.112
0.080
0.072
0.075
0.070
1.004
1.004
1.005
1.005
1.005
1.100
1.067
1.059
1.061
1.057
1.409
1.190
1.155
1.154
1.126
1.721
1.313
1.251
1.247
1.195
1.930
1.396
1.316
1.310
1.242
CONCLUSIONS In this paper, it is shown that the confining action of carbon filaments with prestress is more effective than confinement without prestress. Prestressing rises and prolongs the transition zone significantly with factor up to 1.4. This fact has importance for the stability of confined concrete columns, because for stresses above the transition zone, the modulus is considerably reduced. The confined cylinder ultimate compressive failure stress is not influenced by the prestress. For accurate theoretical prediction of
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590 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
nonlinearity or elastic limit stress of confined concrete samples, the yield or damage condition of concrete under hydrostatic pressure should be specified. ACKNOWLEDGEMENT The investigation is supported by European Commission - TMR - Network, ConFibreCrete “Research leading to the Development of Design Guidelines for the Use of FRP in Concrete Structures” and Ake and Greta Lissheds Foundation, SEB Bank, SE- 106 40 Stockholm. REFERENCES
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1. Jib, Cfe‘de‘ration internationale du bkton). (2001), ”Bulletin 14, Externally bonded FRP reinforcement for RC structures”. Technical report, Case Postale 88, CH-1015 Lausanne July, 2001. p. 130. 2. De Lorenzis L., Tepfers R. (2002a and b), “Performance assessment of FRPconfinement models, part I and 11”. ACIC 2002, Thomas Teyord, London, 2002. pp. 251-260 and pp.261-169. 3. Lim S. G., Hahn T. (1996), “Composite Materials in Repairing and Strengthening of Civil Engineering.” Korean Society of Composite Materials, Vol. 9, No. 4, Dec.1996, pp.1-12. 4. Rousakis T. and Tepfers R. (2001), “Experimental Investigation of Concrete Cylinders Confined by Carbon FRP Sheets, under Monotonic and Cyclic Axial Compressive Load.” Chalmers University of Technology, Division of Building Technology, Work No 44. Goteborg, 2001-03-08. p. 87. 5. Tamuis V., C. S. You, Tepfers R. (2001), “Experimental Investigation of CFRPconfined Concretes under Compressive Load”. Institute of Polymer Mechanics, University of Latvia, Aizkraukles 23, LV-1006 Riga, Latvia and Division of Building Technology, Chalmers University of Technology, S-412 96 Goteborg, Sweden, December 2001. p. 68. 6. Karabinis A. I, Rousakis T.C. (2002), “Concrete Confined by FRP Material: A Plasticity Approach”, Engineering Structures , Elsevier, 24 (2002). pp. 923932. 7. De Lorenzis, L., and Tepfers, R. (2002c), “Applicability of FRP confinement to strengthen concrete columns”, Proceedings of MCM2002, Riga, June 2002.
FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan OWorld Scientific Publishing Company
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CONCRETE CONFINED WITH FIBER REINFORCED CEMENT BASED THIN SHEET COMPOSITES
H.C. WU AND J. TENG Department of Civil and Environmental Engineering, Wayne State University 5050 Anthony Wayne Drive, Detroit, MI 48202, USA In this paper, a new type of fiber reinforced cement-based thin sheet composite will be presented. This innovative technology can be applied to retrofit deficient concrete structures with a superior performance to current Fiber Reinforced Polymer resin (FRP) thin sheets. It is well known that significant improvements in compressive, shear, and flexural behavior of concrete can be achieved with externally bonded FRP sheets. In an effective retrofit with external FRP sheets, a layer of dry fiber sheet (usually unidirectional tape) is placed on the top of a coat of polymer resin that will harden to bond the fiber sheet to the concrete structure. However, composite action suggests that the individual parts of a composite must work together as one. Stresses must be transferred from the FRP sheet to concrete substrate through the interface. Such good bonding requires extensive concrete surface preparation before installation of FRP sheet. Concrete surface preparation is expensive and sometimes prohibited due to dust or noise concerns. Instead of using polymeric resins, the authors have been developing innovative cement-based matrix materials for making thin composite sheets. Cement-based materials have many advantages in comparison to polymeric resins. For instance, much less or no surface preparation is needed for good bonding. Additional benefits include much higher fire and vandalism resistance, and user friendly to the construction industry. Preliminary test data suggest that the effect of using the newly developed cement sheets on concrete confinement is similar to that of using conventional FRP sheets.
INTRODUCTION
The U S . has an estimated $20 trillion investment in civil infrastructure systems. Because of aging, overuse, exposure, misuse, and neglect, many of these systems are deteriorating and becoming more vulnerable to catastrophic failure when earthquake or other natural hazards strike. It would be prohibitively costly and disruptive to replace these vast networks. They must instead be renewed in an intelligent manner. It is generally recognized that fiber reinforced polymer (FRP) sheets are one of the most
592 FRPRCS-6: Externally Bonded Reinforcement for Confinement
vital materials for repair, strengthening, and rehabilitation of existing structures. Applications involve such as externally bonded composite fabrics or jackets on beams, columns, and bridge decks. FRPs (or advanced fiber composites) have long been successfully used by the aerospace and defense industries. These materials are rapidly gaining momentum in civil engineering structural applications. The thrust is twofold: (1) an urgent call for new material to fix our nation's fast deteriorating facilities where the challenge is too great using conventional materials, and (2) properties (high strength-to-weight ratio and corrosion resistance) and easy construction (fast curing process and lightweight) that are superior to conventional concrete and steel. The greatest potential of FRPs in the near future will be in the areas of repair, strengthening, and rehabilitation of existing structures, such as externally bonded composite fabrics or jackets on beams, columns, and bridge decks. Significant improvements in compressive, shear, and flexural behavior of bonded concrete elements are obtained. Typically, increases in strength and failure strain of several times are obtained with external FRP reinforcement'-6.
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RETROFIT WITH FRP SHEETS
Several important considerations regarding reinforcing or retrofitting existing structures including buildings and bridges are (1) cost efficiency, (2) convenience to the occupants with minimum interference to their operations, and (3) environmentally sound for fabrication and disposal. FRPs are found to be a favored solution due to their superior properties, light weight, and easy handling. In contrast, the use of conventional materials typically requires complete shutdown of the structure for repair, or is difficult if not impossible for internal strengthening due to weight and dimensional limitation (e.g. steel truss). These constraints are particularly significant for building repair. Hence, construction costs using conventional materials are substantially increased, although the materials could be relatively inexpensive. It is typically estimated that material costs are less than 20% of the total cost of a repair project. Therefore, even from a cost viewpoint, FRPs are very competitive. In many of the repair projects, the total cost when using FRP were reported to be less than that of using conventional materials for the same project. In an effective retrofit with external FRP sheets, a layer of dry fiber sheet (usually unidirectional tape) is placed on the top of a coat of polymer resin that will harden to bond the fiber sheet to the concrete structure. Prior
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Concrete Confined with Thin Sheet Composites 593
to applying resin coating, the concrete surface must be thoroughly cleaned and smoothed, including grinding and patching that are labor intensive and sometimes require complete shutdown of the operation of the structure. When needed, multiple layers of fiber sheets can be sequentially added by repeating the same procedure. Functions of Fiber and Matrix in Composites
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A typical fiber composite is primarily made of continuous fibers and matrix. The advantages of fiber reinforced polymer composites (FRP) as compared to more conventional materials are often related to the high ratios of stiffness and strength to weight. A typical FW is about 4 times lighter than steel with an equal strength. The strengthktiffness of FRPs is almost entirely attributed to the fibers7,*,since the polymeric matrix has negligible strengthktiffness in comparison to the fiber. The matrix serves three important functions: (1) it holds the fiber in place, (2) it transfers loads to the high-stiffness fiber, and (3) it protects the fiber. Typical density of common engineering fiber is 1.7 - 2.0 g/cm3 for carbon, 2.5 - 2.7 g/cm’ for glass, whereas on the matrices side, epoxy and polyester have a density between 1.2 and 1.4 g/cm3, giving a lightweight composite density between 1.5 and 2.2 g / ~ m ’ . ~It is clear from the above discussion that polymer matrix provides a negligible contribution to composite strengthktiffness that is needed for effective retrofit of concrete structures, yet polymers have many other problems such as lack of fire resistance and degradation under UV light. The authors proposed to replace polymer matrix by cement. Typical density of cementitious materials may range from 0.8 to 2.2 g/cm3 depending on their compositions, hence maintaining a lightweight of the cement composites. The in-situ applicability of cement matrix is only possible when we can control the rheological properties of cement materials that can range from water-like to dough-like. Fiber Reinforced Cement Composite
In this case, the same kind of fiber reinforcement (unidirectional tapes or woven) as in a regular FRP sheet, and we use cement materials to replace polymer resin is used. The preparation procedure is analogous to regular FRP. A fiber tape or fabric is impregnated with cement slurry to form a thin composite sheet. The current process involves the following steps (1) precut a fabric to designated dimensions, (2) submerge in cement slurry for
594 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
rapid and full penetration into the fabric, and (3) remove the impregnated fabric from the slurry tank and place in molds. Some preliminary work has been carried out to make thin plates. Plate as thin as 2 mm can be made with two layers of unidirectional fiber tapes. Both carbon and glass fibers have been used in the investigation although we are aware of potential durability problem of glass fibers in cement alkaline environment. Selected plates have been tested according to ASTM C78-75, Standard Test Method of Flexural Strength of Concrete (using simple beam with third-point loading). A picture of a 4-mm thick plate sample is shown in Figure 1 during a 3-point bending test. Figure 2 depicts the flexural load vs displacement curve showing very high flexural strength (1 00 MPa) and excellent ductility (also see Fig.1). Such high strength and high ductility are not the norm of cement materials, but it should not be too surprising since the high strength comes from the carbon fibers and the high ductility is attributed to multiple cracking phenomenon of brittle cement matrix'o"'. The current work has demonstrated that thin cement sheets having excellent strengtldductility can be produced within minutes. This fast process is a must for in-situ processibility on job sites and for achieving low cost.
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COMPRESSIVE BEHAVIOR OF CONFINED CONCRETE After successful production of thin cement composites, such thin sheets have been employed to retrofit concrete cylinder samples in a preliminary study at Wayne State University'*. The purpose of these tests is to evaluate retrofit effectiveness of the innovative thin Fiber Reinforced Cement (FRC) composite. Ideal FRC composites under development are expected to provide similar or improved retrofit efficiencies with lower cost and easy construction in comparison to Fiber Reinforced Polymer (FRP) composites. Unidirectional carbon fiber tapes were used in this study. Cement based matrix developed at Wayne State University and epoxy resin were used separately to make thin CFRC sheets and CFRP sheets. Both CFRC and CFRP composites contain two layers of unidirectional carbon fiber tapes. The average thickness of the CFRC jackets is 3.0 mm, whereas the CFRP between 2-3 mm. These thin composite sheets were then employed to wrap 4 inch by 8 inch concrete cylinders. The bond length of the CFRC samples is 3 inches and 2 inches for the CFRP. A 1.5 inches gap exists between the top of the cylinder and the top of the composite sheets at both ends (see Figure 3 and 4).
Concrete Confined with Thin Sheet Composites 595
zyx zyxwv zyxwvut zyxwvut
Figure 1: A thin cement infiltrated fiber plate (thickness loading
=4
mm) during flexural
zyxwv 120 r
-m.
a
100
E d 0) C
p!
G -
2 X
a,
i
-
80
-
zyxwvuts r 60 40
20
I
0
0
10
20
30
40
50
60
Deflection (mrn)
Figure 2: Flexural stress vs. mid-point deflection curve of a carbon fiber reinforced cement plate
These concrete cylinders, unconfined and confined with CFRC or CFRP composites are tested using a high-stiffness, high-capacity MTS testing machine following ASTM C39-96, Standard Test Method for Compressive Strength of Cylindrical Concrete Specimens. This equipment has sufficient capacity and stiffness, which is required for conducting such tests. The machine is also equipped with a sophisticated computer control and data acquisition system. The acquired data including the applied axial load and axial deformation of concrete are recorded automatically. Per ASTM Practice (2123 1-93, steel retaining rings and rubber pads were used without other capping during the tests.
596 FRPRCS-6: Externally Bonded Reinforcement for Confinement
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Figure 3: Concrete confined with CFRP composite jacket
Figure 4: Concrete confined with CFRC composite jacket
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Concrete Confined with Thin Sheet Composites 597
Test Results
The axial stress versus axial strain relationships of the unconfined and confined concrete are shown in Figure 5. As shown in Figure 5, the initial portions of the stress-strain responses of the confined specimens essentially followed the curves of the unconfined concrete. The average compressive strength of the unconfined concrete is 54 MPa. The CFRC group shows a compressive strength two times higher than that of the control from 54 MPa to 100 MPa. In addition, the ductility is increased by 3 times from 2 mm to 6 mm. The CFRP sample has the highest compressive strength (105 MPa) and ductility. Nevertheless, the differences between CFRC and CFRP are insignificant. The CFRP jacketed samples showed explosive failure that was triggered by the complete rupture of the CFRP jacket. The remnants of the CFRP sample after failure are shown in Figure 6. The CFRC samples also show fiber rupture failure similar to the CFRP sample. The CFRC samples have a much less violent global failure than the CFRP (see Figure 7). Concrete inside the CFRC jacket was crushed completely (Figure 8).
120
zyxwvuts
0
0
2
4
6
0
10
Deflection (mm)
Figure 5 Compressive behavior o f unconfined and confined concrete
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598 FRPRCS-6: Externally Bonded Reinforcement for Confinement
Figure 6: Remnants of CFRP sample after violent failure
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Figure 7: Global failure of the CFRC sample due to rupture of the CFRC jacket.
Concrete Confined with Thin Sheet Composites 599
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Figure 8: Concrete inside the CFRC jacket was crashed completely
CONCLUSIONS It is confirmed that the compressive strength of concrete can be significantly improved using external CFRP wraps. In addition, the ductility of the confined concrete is significantly increased. The final failure of the confined concrete is provoked by the onset of the composite rupture. The CFRC confined concrete show similar improvements in both ultimate compressive strength and ductility with the CFRP concrete. Because of the use of high strength concrete in this study, the final failure of the plain concrete is explosive. The final failure of the CFRP confined concrete shows even more violent. The CFRC concrete has a much less violent global failure than the CFRP. REFERENCES 1. McConnell, V.P. “Bridge Column Retrofit, Hybrid Woven Unifabric.” High Performance Composites, September/October, 1993,62-64 pp. 2. Seible, F. and Priestley, M.J.N. “Strengthening of Rectangular Bridge Columns for Increased Ductility.” Practical Solutions for Bridge Strengthening and Rehabilitation, Des Moines, Iowa, 1993. 3. Karbhari, V.M., Eckel, D.A., and Tunis, G.C. “Strengthening of Concrete Column Stubs Through Resin Infused Composite Wraps.” J of Thermoplastic Composite Materials, V.6, 1993,92-107 pp.
z
zyxwvutsr
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600 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
4. Labossiere, P., Neale, K.W., Demers, M., and Picher, F. “Repair of Reinforced Concrete Columns with Advanced Composite Materials Confinement.” in Repair and Rehabilitation of the Infrastructure of the Americas, H.T. Toutanji (ed.), University of Puerto Rico, 1995, 153165 pp. 5. Nanni, A., Norris, M.S., and Bradford, N.M. “Lateral Confinement of Concrete Using FRP Reinforcement,” ACI SP 138, Fiber Reinforced Plastic Reinforcementfor Concrete Structures, 1992, 193-209 pp. 6. Saadatmanesh, H., Ehsani, M.R. and Li, M.W. “Strength and Ductility of Concrete Columns Externally Reinforced with Fiber Composite Straps,” ACI Structural Journal, 91[4], 1994, 434-447 pp. 7. Swanson, S.R., Advanced Composite Materials, Prentice Hall, New Jersey, 1997. 8. Bogner, B.R., “Isopolyester Pultrusion Resin Study.” Proc. SPI Composite Institute 45IhAnnu. Con$, New York, 1990. 9. Ashby, M.F. and Jones, D.R.H., Engineering Materials, Pergamon Press, Oxford, 1986. 10 Li, V.C., and Wu, H.C. “Conditions for Pseudo Strain-Hardening in Fiber Reinforced Brittle Matrix Composites,” Appl. Mech. Rev., Vol. 45, NO. 8, 1992, 390-398 pp. 11. Li, V.C. and Leung, C.K.Y., “Theory of Steady State and Multiple Cracking of Random Discontinuous Fiber Reinforced Brittle Matrix Composites”, ASCE J. of Engng. Mechanics, 118, 1 1, 1992, 2246-64 PP. 12. Wu, H.C. and Teng, J., “Innovative Cement Based Thin Sheet Composites for Retrofit”, in Proc. 3rd Inter. Composite Conf for Infrastructure, San Francisco, CA, 2002.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan @WorldScientific Publishing Company
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HOOP RUPTURE STRAINS OF FRP JACKETS IN FRP CONFINED CONCRETE L.LAM AND J.G.TENG Department of Civil and Structural Engineering, The Hong Kong Polytechnic Universiv, China
One important application of fibre-reinforced polymer (FRP) composites is as a confining material for concrete in the retrofit of existing concrete columns by the provision of FRP jackets. Such jackets are commonly formed in a wet lay-up process, with the fibres being only or predominantly in the hoop direction. It has been well established in recent studies that the rupture strainshtrengths of FRP measured in tests on such FRP-confined concrete cylinders fall substantially below those from flat coupon tensile tests, but the causes are unclear. This paper presents the results of a study which is aimed at clarifying these causes. To this end, the paper reports and compares the ultimate tensile strains of two types of FRP (CFRP and GFRP) obtained from three types of tests: flat coupon tensile tests, ring splitting tests and FRP-confined concrete cylinder tests. Based on comparisons of these test results, it can be concluded that the FRP hoop rupture strains in FRP-confined concrete cylinders are reduced below the ultimate tensile strains from flat coupon tests by three factors: (a) the curvature of the FRP jacket; (b) the non-uniform deformation of the concrete; and (c) the effect of the overlapping zone which has an increased thickness.
INTRODUCTION One important application of fibre-reinforced polymer (FRP) composites is as a confining material for concrete in the retrofit of existing concrete columns by the provision of FRP jackets. Such jackets are commonly formed in a wet lay-up process, with the fibres being only or predominantly in the hoop direction. Concrete-filled FRP tubes are another important application, in which the FRP tubes have a substantial axial stiffness. This paper is explicitly concerned with the behaviour of unidirectional FRP jackets interacting with concrete only, although the conclusions are believed to be relevant to concrete-filled FRP tubes as well. The issue examined in this paper is the ultimate tensile straidstrength of FRP jackets in the hoop direction in FRP-confined concrete, versus that obtained from a material
602 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
zy
tensile test. This issue, though apparently simple, is fundamental to the proper interpretation of test results of FRP-confined concrete and the development of accurate and rationally based confinement models. In existing theoretical models for FRP-confined concrete as reviewed el~ewherel-~, it is commonly assumed that tensile rupture of the FRP occurs when the hoop stress in the FRP reaches its tensile strength from material tensile tests, either flat coupon tests' or ring splitting tests6. Test results were interpreted accordingly in the development of these models. The only exception is the model of Xiao and Wu' for which it was suggested that 50% of the FRP flat coupon tensile strength be taken as the hoop rupture strength, based on test observations. Experimental evidence from other also suggested that the material tensile strength of FRP may not be reached at hoop rupture of FRP jackets in FRP-confined concrete. The substantial difference between the FRP tensile strength or ultimate strain from material tests and that reached in FRP-confined concrete specimens has been discussed by a number of researchers*,*-". Lam and Teng" concluded that confinement models must be based on the actual tensile rupture strength of FRP achieved in FRP-confined concrete rather than that from tensile tests, and established a design-oriented stress-strain model on the basis of this conclusion. While the strength difference between FRP tensile specimens and FRP jackets confining concrete is well established", a number of uncertainties exist. In particular, the causes for this difference are unclear at the present, but must be clarified before complete confidence can be achieved in modelling such FRP-confined concrete. Several causes have been suggestedzx8-' ', including (a) deformation localization in cracked concrete leading to a non-uniform stress distribution in the FRP jacket, and (b) the effect of curvature of an FRP jacket on the tensile strength of FRP and (c) Local misalignment or waviness of fibres in the wet lay-up process leading to unequal stretching of the fibres. No specific study has been found attempting to confirm or reject these suggestions. This paper therefore presents the results from the first carefully planned study12 involving comparative experiments in an attempt to clarify these uncertainties. FLAT COUPON AND RING SPLITTING TESTS
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In the present study, two types of FRP were employed: carbon FRP (CFRP) and glass FRP (GFRP). The CFRP was formed from unidirectional carbon fibre tow sheets and epoxy resin. The carbon fibre sheets had a nominal thickness of 0.165 mm. The GFRP was formed from a woven fabric consisting of E-glass fibres in the longitudinal direction as the main fibres
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Hoop Rupture Strains in FRP-Confined Concrete 603
and sparsely distributed aramid fibres in the transverse direction. The woven fabric had a nominal thickness of 1.27 mm. The nominal thicknesses were used for the calculation of material proprieties as is commonly done for wet lay-up FRP. The two FRP systems were proprietary products supplied by separate companies. Two types of material tensile tests were conducted to determine the material properties: flat coupon tensile tests’ and ring splitting tests6. The purpose of these tests was mainly to determine the material ultimate tensile straidstrength and elastic modulus, and to examine the effect of curvature on tensile properties.
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Flat Coupon Tensile Tests
The flat coupon tests were conducted following the ASTM standard5. Dimensions of the test specimens are shown in Figure 1. The strains were average values from two strain gauges at mid-length on the two sides of the test coupon. The results of the tensile tests calculated using the normal thicknesses and the actual widths12 (about 25 mm) are shown in Table 1, where each result is the average of at least five specimens. Typical stressstrain curves of the FRPs from flat coupon tests are shown in Figure 2. Strain gauge
w 4
One-layer FRP
3
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Figure 1. Dimensions of flat coupons for tensile tests
(shear) (Shear) (Shear) (Shear) Table 1 . Results of material tensile(Shear) tests
Type of test
604 FRPRCS-6: Externally Bonded Reinforcement f o r Confinemenl .. . . . .
1.2 1 0.8 0.6
0.4
I
I
..... .............
I...........
. ....................
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0.2 0
0
0.2
0.4
0.6
0.8
1
1.2
Normalized tensile strain
Figure 2. Typical normalized stress-strain curves of CFRP and GFRP Overlapping zone
Strain gauge
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Figure 3. Dimensions of ring specimens for tensile tests
Ring splitting tests
The ring splitting tests were also conducted following an ASTM standard6. Dimensions of the test specimens are shown in Figure 3. The GFRP rings had a nominal width of 23 mm to correspond to 10 yarns of the woven fabric instead of 25 mm which was used for the CFRP ring. For the CFRP rings, the nominal thickness and the actual widths were used in determining the tensile properties. For the GFRP, the nominal thickness and the nominal width were used as the actual widths were more difficult to measure due to the size of yarns and the presence of transverse fibres. The tensile test coupons were formed in a different way so there was no such problem'*.
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Hoop Rupture Strains in FRP-Confined Concrete 605
The tensile properties so obtained are shown in Table 1, where each result is again the average of at least five specimens. A comparison of the flat coupon test results and the ring splitting test results shows that the ring splitting tests lead to a much-reduced tensile strength. This may be interpreted to mean that the curvature of the ring specimens had a substantial detrimental effect on the tensile strength. However, it should be noted that the ring splitting test, due to its own limitations, may deliver a lower tensile strength due to other reasons. For example, the relative movement between the two half disks effected by an external force in a ring splitting test does not produce an axisymmetric radial expansion required to produce a uniform hoop tension in the FRP ring. COMPRESSION TESTS OF FRP-CONFINED CONCRETE CYLINDERS Test Specimens
A total of 27 concrete cylinders of 152 mm in diameter and 305 mm in height were prepared and tested in three series. Details of the test specimens are shown in Table 2. Each series consisted of six confined cylinders and three unconfined cylinders, all prepared from the same batch of concrete. The FRP jackets were formed in a wet lay-up process by impregnating a continuous fibre/fabric sheet with matching epoxy resin. In the case of the CFRP, a primer was applied first to the surface of concrete before the wrapping of FRP. Regardless of the number of FRP layers (each layer contains a single lap of sheet), a single continuous sheet with the main fibres oriented in the hoop direction was wrapped around the cylinder with the finishing end of the sheet overlapping the starting end by a prescribed length (the overlap length). The three series of tests cover CFRP and GFRP, different numbers of FRP layers and different overlap lengths. In particular, the effect of overlap length was studied using three confined cylinders which had overlap lengths of 100 mm, 250 mm and 400 mm respectively, while for all other specimens this overlap length was always 150 mm. The measured thicknesses were on average 1.03 mm for single-layer CFRP and 1.4 1 mm for two-layer CFRP respectively, while the measured thicknesses of GFRP were 1.33 mm and 2.32 mm for single- and two-layer jackets respectively.
606 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
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Layout of Strain Gauges
For each control cylinder, four unidirectional strain gauges were bonded on the surface of concrete at the mid-height. Two with a gauge length of 60 mm, at 180" apart, were used to measure hoop strains. The other two had a gauge length of 120 mm and were used to measure axial strains. For each FRP-wrapped cylinder, 8 unidirectional strain gauges (SGl -SG8) with a gauge length of 20 mm were evenly distributed at mid-height to measure the hoop strains of the FRP jacket as shown in Figure 4, with SGl being located at 22.5" from the finishing end of the fibre sheet. For specimens with an overlap length of 150 mm, both SGI and SG2 were located within the overlapping zone, while SG3 covers the starting end of the fibre sheet (Figure 4). In addition, axial strains were determined using 4 evenly distributed strain gauges as well as two linear variable displacement transducers (LVDTs) at 180" apart covering the mid-height region of 120 mm. Overlamina zone
FW jacket
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Figure 4. Location of strain gauges for hoop strains in an FRP jacket
Results of Compression Tests
The results of compression tests are summarized in Table 2. In this table, the compressive strength of unconfined concrete fc: for each series of tests is averaged from the three control cylinders. The ultimate axial strains E,, are average values obtained using the two LVDTs. The hoop strains of FRP at rupture E ~ are, given ~ as~ average values, first of the eight strain gauges
zyxw zyxwv Hoop Rupture Strains in FRP-Confined Concrete 607
zyxwv zyx Type of test over the whole circumference and then of the strain gauges outside the overlapping zone. All 18 FRP-wrapped cylinders showed eventual failure by the rupture of FRP outside the overlapping zone and bilinear stress-strain behaviour ending at a point defined by the compressive strength fc:and the ultimate strain E,, . COMPARISON OF TEST RESULTS AND DISCUSSION
The average hoop rupture strains of FRP obtained in the compression tests (Table 2) are seen to be much smaller than the material ultimate tensile strains obtained from flat coupon tests as given in Table 1. The ratio of the FRP hoop rupture strain to the material ultimate tensile strain obtained from flat coupon tensile tests has been termed the efficiency
Type of test Type of test Type of test Type of test (shear) (Shear) (Shear) (Shear) (Shear)
a The overlap length was varied from 100 mm to 400 mm bNot available due to experimental errors
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608 FRPRCS-6: Externally Bonded Reinforcement for Confinement
For the FRP-confined cylinders with an overlap length of 150 mm, this efficiency factor is only 0.583 for the nine CFRP-wrapped cylinders and 0.669 for the six GFRP-wrapped cylinders if the FRP hoop rupture strain is taken as the average value from the eight strain gauges. These two values are very close to those found by Lam and Teng" from test results reported in the open literature, which are 0.586 for 52 CFRP-wrapped concrete cylinders and 0.624 for nine GFRP-wrapped specimens. Figures 5a and 5b show the distributions of the FRP hoop strains around the wrapped cylinder at rupture. These figures show clearly that the strains are non-uniform around the circumference, with substantially lower values within the overlapping zone. Indeed, the smallest hoop strain is always found within the overlapping zone and on average is only about 38% and 45% of the ultimate tensile strain from flat coupon tests for CFRP-wrapped cylinders and GFRP-wrapped cylinders, respectively. It is easy to understand that these lower FRP hoop strains arose because the FRP jacket was thicker in this zone. For the same confinement pressure, the strain in jacket is inversely proportional to the thickness of the jacket. Figure 6 further illustrates the effect of overlap length, where the strain distributions in confined cylinders with three different overlap lengths are compared. For the two cylinders with longer overlap lengths, the average hoop rupture strains are thus reduced (Table 2). In this connection, it is worth noting that a longer overlap length has the same effect as a reduced strain capacity of the FRP. Figures 5 and 6 also show that the strain distributions outside the overlapping zone are also non-uniform, although the variation is smaller. This non-uniformity can be attributed to the non-uniform deformation of cracked concrete which is an inhomogeneous material. The maximum hoop strain on the FRP jacket was generally observed outside the overlapping zone, except three cases in which this maximum strain was found at (Cl-3 and C2-1) or near (Cl-400) the starting end of the fibre sheet. For these three cases, the high strains measured may be partly attributable to jacket bending as a shell as a result of a thickness change. Indeed, the strains measured elsewhere on the jacket may also contain a significant bending component in the final stage as a result of non-uniform deformation of concrete.
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zyxwvuts zyxwvu zyxwv Hoop Rupture Strains in FRP-Confined Concrete 609
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Figure 5 . Distributions of FRP hoop strain on cylinders with an overlap length of 150 mm (a) CFRP-wrapped cylinders and (b) GFRP-wrapped cylinders
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Figure 6. Distributions of FRP hoop strain on CFRP-wrapped cylinders with varying overlap lengths
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610 FRPRCS-6: Externally Bonded Reinforcement for Confinement
The maximum strain measured on the FRP in a confined concrete cylinder is found to be 1.06% on average for CFRP-wrapped specimens, and 1.91% on average for GFRP-wrapped specimens. Although these are much lower than the material ultimate strains from flat coupon tests, they are strikingly close to the ultimate strains obtained from ring tests which are 1.009% for CFRP and 1.987% for GFRP. This indicates that the effect of curvature of the FRP jacket in a ring splitting test and in a confined cylinder test is similar, although this is not yet completely certain due to the limitation of the ring splitting test as mentioned earlier. CONCLUSIONS
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In an attempt to explain why FRP hoop rupture strains measured in FRPconfined concrete cylinder tests fall substantially below those from flat coupon tensile tests, this paper has presented and compared tensile strengths for two types of FRP (CFRP and GFRP) obtained from three types of tests: flat coupon tensile tests, ring splitting tests and FRP-confined concrete cylinder tests. Based on comparisons of these test results, it can be concluded that the hoop rupture strains measured in FRP-confined concrete cylinders are affected by three factors: (a) the curvature of the FRP jacket; (b) the non-uniform deformation of concrete leading to a non-uniform distribution of the strains in the FRP jacket; and (c) the effect of the overlapping zone in which the measured strains are much lower than strains measured elsewhere. These three factors combine to produce an average FRP hoop rupture strain which is much lower than that from flat coupon tests. The present study has therefore confirmed two of the causes suggested in the and listed in the introductory section of the paper. The third one mentioned there, namely the effect of misalignment and waviness of fibres, is not believed to be an important factor as these defects, if present, affect results from both material tensile tests and confined concrete cylinder tests. The third factor identified here means that a significant scatter in test results can arise as a result of strain gauge locations. It is important to note that all three factors are size related: the effect of curvature and overlap zone may be reduced, while the effect of non-uniform concrete deformation may become more important in large columns. Large concrete columns should be tested in the future to examine how these factors affect the hoop rupture strength of FRP jackets.
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Hoop Rupture Strains in FRP-Confined Concrete 611
ACKNOWLEDGMENTS The work presented in this paper forms part of a research project (Project No: PolyU 5059/02E) funded by the Research Grants Council of the Hong Kong SAR with additional support from The Hong Kong Polytechnic University provided through its Area of Strategic Development (ASD) Scheme. The authors are grateful to both organizations for their financial support. The authors also wish to thank Mr. Y.N. Tse and Miss P.Y. Fung for their valuable contributions to the experimental work. REFERENCES 1. De Lorenzis, L. and Tepfers, R., “Performance assessment of FRPconfinement models - Part I: Review of experiments and models”, Advanced Polymer Composites for Structural Applications in Construction, Proceedings of the First International Conference, Edited by R.A. Shenoi, S.S.J. Moy, and L.C. Hollaway, Thomas Telford, London, UK, 2002, pp. 25 1-260. 2. De Lorenzis, L. and Tepfers, R., “Performance assessment of FRPconfinement models - Part 11: Comparison of experiments and predictions”, Advanced Polymer Compositesfor Structural Applications in Construction; Proceedings of the First International Conference, Edited by R.A.‘Shenoi, S.S.J. Moy, and L.C. Hollaway, Thomas Telford, London, UK, 2002, pp. 261-269. 3. Monti, G., “Confining reinforced concrete with FRP: behavior and modeling”, Composites in Construction: A Realip, Proceedings of the International Workshop, Edited by E. Cosenza, G. Manfredi, and A. Nanni, ASCE, Virginia, U.S.A.,2002, pp. 213-222. 4. Teng, J.G., Chen, J.F., Smith, S.T. and Lam, L., FRP-Strengthened RC sfructures, John Wiley & Sons, Ltd., UK, 2 0 0 2 , 2 4 5 ~ ~ . 5. ASTM D3039/D3039M-95, “Standard test method for tensile properties of polymer matrix composite materials”, Annual Book of ASTMStandards, Vol. 14.02, 1995. 6. ASTM D 2290 - 92, “Standard test method for apparent tensile strength of ring or tubular plastics and reinforced plastics by split disk method ”, Annual Book OfASTMStandards, Vol. 15.03, 1992. 7. Xiao, Y . and Wu, H., “Compressive behavior of concrete confined by carbon fiber composite jackets”, Journal of Materials in Civil Engineering, ASCE, 12(2), 2000, pp. 139-146.
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612 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
8. Shahawy, M., Mirmiran, A. and Beitelman, A., “Test and modeling of carbon-wrapped concrete columns”, Composites: Part B, 3 1, 2000, pp.47 1-480. 9. Pessiki, S., Harries, K.A., Kestner, J.T., Sause, R., and Ricles, J.M., “Axial behavior of reinforced concrete columns confined with FRP jackets”, Journal of Composites for Construction, ASCE, 5(4), 2001, pp.237-245. 10. Lam, L. and Teng, J.G., “Design-oriented stress-strain model for FRPconfined concrete”, to be published. 1 1. Spoelstra, M.R. and Monti, G., “FRP-confined concrete model”, Journal of Compositesfor Construction, ASCE, 3(3), 1999, pp. 143-150. 12. Lam, L. and Teng, J.G., “Ultimate condition of FRP-confined concrete”, to be published.
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FRPRCS-6, Singapore, 8-1 0 July 2003 Edited by Gang Hwee Tan @World Scientific Publishing Company
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EXTERNALLY CONFINED HIGH STRENGTH CONCRETE COLUMNS UNDER ECCENTRIC LOADING J. LI, M. MOULSDALE AND M. N. S. HAD1 Faculty of Engineering, University of Wollongong Wollongong, MSW 2522, Australia
Previous studies proved that the application of FRP can eliminate some unwanted properties of high strength concrete, such as the brittle behavior of high strength concrete. However, research studies conducted so far on external confinement of concrete columns have mainly concentrated on concentric loading. This paper investigates the performance of externally confined high strength concrete columns subjected to eccentric loading and evaluates the effectiveness of two confinement materials-Carbon fibre and E-glass. The contribution of external confinement with FRP to the increase of the strength of concrete columns depends on few factors, for example, the number of layers; the type of confining materials and the bond between the fibres and the concrete. The layout of fibres is another variable, which contributes much to the behaviour of confinement effectiveness when bending action is introduced. The enhancement of the strength of the plain column specimens under eccentric loading is not so pronounced as for the reinforced concrete specimens under concentric loading.
INTRODUCTION
With the development of technology, the use of high-strength concrete members has proved most popular in terms of economy; superior strength; stiffness and durability. With the increase of concrete strength, the ultimate strength of the columns increases, but a relatively more brittle failure occurs. The lack of ductility of high strength concrete results in sudden failure without warning, which is a serious drawback of high strength concrete. Previous studies have shown that addition of compressive reinforcement and confinement will increase the ductility as well as the strength of materials effectively. Concrete, confined by transverse ties, develops higher strength and to a lesser degree ductility. Studies conducted by some investigators on the improvement of the ductility of high strength concrete members have proven that the use of the spiral confinement is more effective and beneficial in the improvement of performance of concrete members'.
614 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
In recent years, FRP wrapping in lieu of steel jacket has become an increasingly popular method for external reinforcement in which FRP offers improved corrosion and fatigue resistance compared to the steel reinforcement. The high tensile strength and low weight make FRP ideal for use in the construction industry. Another attractive advantage of FRP over steel straps as external reinforcement is its easy handling, thus minimal time and labour are required to implement them2. However, research studies conducted so far on external confinement of concrete columns have mainly concentrated on concentric loading. In practice, axially compressed (ie., concentrically) structural concrete columns rarely occur. Even in a column nominally carrying only axial compression, bending action is almost always present due to unintentional load eccentricities and possible construction error. Also, there are many columns where an eccentric load is deliberately applied. Therefore, the studies for concrete columns under eccentric loading are essential for practical use. This study experimentally investigates the benefits of external confinement using FRP on high strength concrete columns under eccentric loading and compares the effectiveness of two types of external reinforcement.
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EXTERNAL CONFINEMENT WITH FRP
The application of FRP in the construction industry can eliminate some unwanted properties of high strength concrete, such as the brittle behaviour of high strength concrete, FRP is particularly useful for strengthening columns and other unusual shapes. Parameters that affect the strength and ductility of FRP confined concrete include concrete strength, type of fibres and resin and thickness of FRP (different layers). The experimental program conducted by Houssam and Balauru3 showed that the compressive strength improved by approximately 200 percent due to confinement, with Carbon fibre and by approximately 100 percent due to Glass fibre. Also, the shape of cross section and the spacing of FRP straps can directly affect the confinement effectiveness of FRP wrapping in the confinement and these were well known. The orientation of fibres is another factor contributing to the mechanical performance of a composite. Fibres oriented in one direction give very high stiffness and strength in that direction. If the fibres are oriented in more than one direction, such as in a mat, there will be high stiffness and strength in the direction of the fibre orientation4.
Externally Confined High Strength Concrete Clournns 615
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EXPERIMENTAL PROGRAM
The objective of the experimental program in this study is to investigate the behaviour of external reinforced high strength concrete columns (no internal reinforcement) subjected to eccentric loading and to evaluate the effectiveness of external confinement with FRP composites. Proven by previous studies, the major parameters affecting the behaviour of concrete columns confined with external FRP are the type of fibers; the number of layers and the shape of cross-section. As the influence of cross-section is already well known, this study is limited to circular columns under eccentric loading. The test variables selected for this study are: (1) the type of reinforcement: internal and external, (2) the number of layers of FRP, (3) the type of wrapping materials: unidirectional Carbon and plain weave Eglass. Column’s Details
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Seven high strength concrete columns were designed for testing. Each column was designed to have a diameter, D, of 235 mm for both the haunched ends and 150 mm in the test region, and an overall length, H, of 1400 mm. The clear distance between the ends was 620 mm. The dimensions were selected to be compatible with the capacity of the testing machine. There are two major amounts of reinforcement designed for the two internally reinforced specimens. Six RWlO bars were equally spaced around the inside circumference of 41 10 helix with a pitch of 60 mm through the entire length of specimens and three RW8 bars confined by circular ties are spaced in equal distances at both ends. The geometry and dimension and internal reinforcement details of column are shown in Figure 1. Five specimens wrapped continually with FRP had the following configurations: one-layered and three-layered Carbon fibres and onelayered, three-layered and five-layered E-glass. The other two specimens were internally reinforced. The only difference between these two columns was that one specimen was continually wrapped with three-layer E-glass fibres. The testing matrix is summarized in Table 1 .
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616 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
haunched end
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(a) Column geometry
(b) Internal reinforcement details Figure 1. Column details
Table 1. Testing matrix on column specimens Column C1-1 C1-2 C1-3 C1-4 Cl-5 C2-6 C2-7
Diameter (mm) Ends Middle 235 150 235 150 235 150 235 150 235 150 235 150 150 235
Eccentric Loading
Length Internal (mm) Reinforcement 1400 1400 1400 1400 1400 1400 1400
Yes Yes No No No No No
Configurations 3-layered Carbon (ends only) 3-layered E-glass 3-lavered E-glass 5-lavered E-glass 3-lavered Carbon 1-layered E-glass I -layered Carbon
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In this study, all the seven columns were tested under eccentric loading, which was achieved by the introduction of haunched ends to each column. This can be seen clearly in Figure 1. When the concentric loading was applied to the top haunched ends of the column specimen, an eccentricity, e, of 42.5 mm, was achieved in the test region of each column. The large haunched ends were introduced in the configuration of the column
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Externally Confined High Strength Concrete Cloumns 617
specimens in order to prevent premature failure and to allow for eccentric loading. A steel plate and a knife edge were used on the top surface of the column in order to provide an accurate concentric loading to the haunched end and to facilitate the adjustment on the direction of loading. Specimen Preparation A11 the seven column specimens were cast in the Engineering Laboratory of University of Wollongong. The target strength for both batches of concrete was 100MPa. 103.lMPa and 95.9MPa determined by compressive tests were achieved for the two batches of concrete respectively. After removal of the moulds, two internally reinforced columns were found with significant defects as shown in Figure 2, which were probably caused due to insufficient vibration. Then, column C1-1 was decided to be wrapped with three-layer of Carbon fibre at both haunched ends to prevent premature failure outside the test region.
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(a) Column 1 (Cl-1)
(b) Column 2 (Cl-2)
Figure 2. Columns with significant defects
The resin was prepared by mixing with slow hardener according to 5: 1 ratio and firstly applied to the concrete surface. Then, the first layer of FRP was applied to the column with an overlap of 25 mm in each revolution. After wrapping the first layer, the second coating of epoxy was applied on the surface of the first layer to allow the second layer of FRP to be applied.
618 FRPRCS-6: Externally Bonded Reinforcementfor Conjinement
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This process was repeated until the desired layers of FRP were wrapped. Finally, the final layer of epoxy resin was applied on the surface of the wrapped specimens. The wrapped column specimens were left at room temperature for about 2 weeks for epoxy system to harden adequately before the testing.
Test Specimens
Seven columns were tested to failure using 900 kN Strong Floor testing machine of the Engineering Laboratory at the University of Wollongong. The load eccentricity is 42.5 mm, which resulted in a large e/r (eccentricity/column radius) ratio of 0.57.
OBSERVED BEHAVIOUR AND TEST RESULTS All the columns showed similar behaviour under the eccentric loading. Although sounds of snapping of the fibres could be heard near the failure load, the failure of the column specimens in all cases was characterised by a very loud and explosive failure. The results from experiment conducted on the seven column specimens are shown in Table 2. Table 2. Column test results Column C1-1 (21-2 C1-3 C1-4 (21-5 C2-6 C2-7
Ultimate Axial Stress Axial Defection Max. Compressive Max. Tensile Load (kV (MPa) (mm) Stress (MPa) Stress (MPa) 836.4 525.5 601 736.8 791.5 669 644.6
47.33 29.74 34.01 41.69 44.79 37.86 36.48
0.753 1.983 2.4 1.45 1.405 1.771
--
-154.67 -97.14 -111.10 -136.20 -146.31 -123.67 -119.16
60.00 37.66 43.08 52.82 56.73 47.95 46.20 ~~
Figure 3 shows how the eccentric loading was achieved and produced an axial load combined with the bending moment. From the bending moment diagram shown in Figure 3, it can be seen the maximum moment occurred right at the joint between the haunched ends and the test region, which was exactly the same as occurred in the experiment as shown in Figure 41; all columns failed at the upper part of the test region except C1-2 due to the significant defects in it.
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Externally Confined High Strength Concrete Cloumns 619
m = PP
Figure 3. Bending moment produced by the eccentric loading
Figure 4. Columns after failure
Internally Reinforced Columns The loading on the internally reinforced specimen wrapped with Carbon fibres at both ends resulted in the spalling of the concrete cover. The final sudden failure of this column was due to the yielding of steel reinforcement. Although defects existed in the haunched ends of this column, the failure of this column did occur in the test region as designed, which proved the effectiveness of wrapping using Carbon fibres at the ends. For the internally reinforced column with E-glass wrapping, ultimate failure occurred in the patched location. This confirmed that the final failure was marked by the fracture of the E-glass fibres as a result of lateral
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620 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
expansion under axial eccentric loading, preceded by the crushing of concrete of the patching part. The results shown in Table 2 confirm that the influence of defects on the load carrying capacity, which is much lower than that of another internally reinforced column having similar configurations.
E-glass Wrapped Columns
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The failure of all E-glass specimens was marked by the rupture of E-glass fibres. However the externally wrapped E-glass was ruptured in the hoop direction only for 3-layered E-glass column. While for 1-layered and 5 layered specimens, the fibres were torn in multi-direction and longitudinal direction besides the hoop direction, respectively. Approaching failure load, the appearance of white patches can be discerned, which indicated the imminent failure of E-glass and resin. The snapping sounds were heard before the ultimate failure, revealing the fracture of FRP composites and debonding between the layers of wrapping. Regarding the one-layered E-glass column, the inner side of wrapping was bonded with concrete even after failure, indicated that this column has achieved the best bond effect between the concrete and FRP. This is a possible explanation for this column having higher ultimate load carrying capacity than the single layered Carbon column.
Carbon Wrapped columns With a slight delamination of fibres between layers and accompanied by a simultaneous fracture of Carbon fibres and the concrete core, the final failure of both Carbon wrapped columns was more explosive and sudden when compared to the E-glass wrapped specimens. It is important to note that the ultimate load of column with a single layered carbon fibre is slightly lower than that of the single layered E-glass specimen. This can be attributed by the best bond effect achieved by the single layered E-glass specimen. Another reason is contributed the layout of fibres: the tensile strengthening by the unidirectional fibres is not as effective as that provided by plain weave fibres. COMPARISON AND ANALYSIS
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The experimental results from the six wrapped columns shows that the Carbon wrapped columns out-performed the E-glass wrapped columns. The three-layered Carbon specimen exhibited 7% and 23% increase over the five-layered and three-layered E-glass specimens, respectively. The three-
Externally Confined High Strength Concrete Cloumns 621
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layered and single layered Carbon columns exhibited 7.4% and 7.2% increase in ultimate load over the five-layered and three-layered E-glass columns, respectively. This proves that Carbon fibres are more effective than E-glass for external confinement. However, the single layered E-glass column achieved higher ultimate load than the single layered Carbon column due to the better bond effect and possibly smaller eccentricity. A comparison in terms of the maximum compressive stress and maximum tensile stress among columns C1-3, C1-4 and C2-6 show that increasing the number of layers leads to higher load carrying capacity of wrapped column generally. The five-layered E-glass column achieved 22% increase compared to the three-layered E-glass column. However, this is not the case for the single layered E-glass specimen due to the possible better bond effect and smaller eccentricity. As the steel plate and knife edge on the top surface of column could not easily be centred accurately, which could introduce smaller eccentricity, a higher ultimate load could be reached. The comparison between the two Carbon wrapped columns shows that increasing the number of layers from 1 to 3 increased the ultimate load by 23%. This again indicates that higher ultimate load could be achieved by increasing the number of layers. In order to evaluate the effectiveness of external confinement under eccentric loading as opposed to the internal reinforcement, comparison among Cl-1, C1-3, C1-4, C1-5 and C2-7 was made as well. Although C1-2 is one of the internally reinforced columns, it was not used here for comparison due to the significant defects that existed in this column. The three-layer Carbon wrapped column achieved the ultimate load of 79 1.5kN, which is just 5% lower than the high strength concrete column internally reinforced with high strength steel. This confirms that the external confinement with three-layer Carbon is as effective as the internal reinforcement with high strength steel. While for the E-glass wrapped columns under eccentric loading, the compressive stress and tensile stress of three-layered and five-layered columns were decreased by approximately 28% and 12% respectively. The ultimate load achieved by the column with a single layered Carbon fibre was decreased by 23% compared to the internally reinforced column.
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CONCLUSION
The experimental work involved in this study is mainly to evaluate the effectiveness of external and internal reinforcement as well as the contribution of two types of external reinforcement -- Carbon and E-glass to
622 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
high strength concrete columns under eccentric loading. Based on the test results of seven column specimens, it can be concluded that: (a) The experimental results clearly demonstrate that composite wrapping can enhance the structural performance of concrete columns under eccentric loading to some extent. However, the enhancement is not as significant as that of columns under concentric loading as suggested by previous studies. This was attributed to the fact that an eccentric loading once engaged, induced in the columns not only axial compression, but bending action too; (b) For the circular specimens under concentric or eccentric loading, the number of layers of FRF’ materials is one of the major parameters having a significant influence on the behaviour of specimens. However, the influence of the number of layers of FRP on the specimens under eccentric loading is not so pronounced as that of the specimens under concentric loading; (c) The fibre layout is one of major factors that affect the effectiveness of confinement especially when eccentricity is introduced. Plain weave fibres are effective both for flexural and compressive reinforcements. The behaviour of structural members can be markedly improved by using unidirectional fibres applied in right direction, which means the fibres are orientated in the direction where the higher tensile strength of FRP can be utilised; (d) Taking the expensive costs involved into consideration, external confinement with Carbon fibres is not suggested for strengthening of columns under eccentric loading at a larger eccentricity ratio.
REFERENCES
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1. Razvi, S. R. and Saatcioglu, M., “Strength and Deformability of Confined High-Strength Concrete Columns”, ACI Structural Journal, Vol. 9 1, November-December, 1994, pp. 678-687. 2. Demer, M. and Neale, K. W., “Confinement of Reinforced Concrete Columns with Fibre-reinforced Composite Sheets - an Experimental Study”, Canadian Journal of Civil Engineering, Vol. 26, iss.2, 1999, pp. 226-24 1. 3. Houssam, A. T. and Balauru, P., “Effects of Freeze-Thaw Exposure on Performance of Concrete Columns Strengthened with Advanced Composites”,ACI Materials Journal, Vo1.96, 1999, pp. 605-6 10. 4. Autar, K. K., Mechanics of Composite Materials, CRC Press, Boca Raton, New York, 1997
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan QWorld Scientific Publishing Company
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CREEP PERFORMANCE OF CFRP CONFINED CONCRETE CYLINDERS
M. THERIAULT, M.-A. PELLETIER, K. KHAYAT AND G. AL CHAMI Department of Civil Engineering, Universite' de Sherbrooke 2500 b o d Universitk, Sherbrooke QC J I K 2R1,Canada Multiple rehabilitation techniques were implemented in order to increase the life cycle of deficient structures. One of the most promising techniques is the addition of fiber reinforced polymer (FRP) strengthening systems, which have proven to be quite effective in the confinement of reinforced concrete columns. However, important concerns regarding the durability of FRP-rehabilitated structures remain to be investigated. One of these concerns is the long-term creep behavior of FRP strengthening systems. In this study, 15 CFRP confined and unconfined concrete cylinders were submitted to sustained loading. Three short-term creep tests and four longterm creep tests, each performed over three replicates, were carried out. The parameters of the study include the level of confinement and the level of sustained stress. According to the results, confinement can effectively increase the creep resistance of concrete. This increase depends primarily on the level of sustained loading according to the confined concrete strength. For the same percentage of loading in term of ultimate strength, specimens with the highest confinement level exhibited the greatest short term creep resistance.
INTRODUCTION Creep is defined as a strain increase in time of a material submitted to a constant stress. Creep in concrete is a time-dependent phenomenon which can be influenced by numerous factors, such as the type of cement, the waterkement ratio, the use of admixture and the changes in humidity and/or temperature. Hence, the use of FRP-wrapped concrete columns exhibits a complex creep phenomenon, since other parameters must also be considered including the type and degree of confinement and the thickness of the resin between the FRP layers. According to the ISIS Canada Design Guidelines and with the proper FRP confinement upgrading, the ultimate load that can be applied on a column may be doubled'. This increase in capacity, while theoretically acceptable, brings forth new considerations as to the mechanical durability
624 FRPRCS-6: Externally Bonded Reinforcement for Confinement
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of the system. In fact, for creep failure protection, the dead load applied on an unconfined concrete column should not exceed 80% of the concrete compressive strength. This value, once subjected to modification factors, is finally limited to 0.35 f,’. In the CSA reinforced concrete design manual’, the actual maximum applied load on a concrete column should not exceed 35% of its ultimate strength if all the design requirements are met; the risk of a creep failure at such stress level is therefore overlooked. However, the same cannot be said for FRP-confined columns, where the total factorized load can be as high as the unconfined concrete compressive strength3. At such high stress IeveI, the load-carrying capacity of the confined concrete columns depends on the effectiveness of the FRP wrap to restrain crack propagation, and thus prevent fragile failure. Further investigation on the durability aspects of this new technique is essential to investigate the long and safe use of this strengthening scheme. This study aims at the identification of the maximum dead load that can be sustained by an FKP-confined concrete column as a function of the applied confinement pressure.
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EXPERIMENTAL PROGRAM
Specimen Preparation
The concrete was prepared with coarse aggregates with 14 mm nominal size. Ready-mix concrete with a 65 mm slump and a 3.8% air content was used. Test cylinders were removed from mold one day after casting, cured in water for 7 days and then stored at room temperature until the time of testing. The mean compressive strength values at 28 days and 7 months were 24.5 and 29.1 MPa, respectively. The sample ends were ground with a diamond blade to perfectly smooth surfaces perpendicular to the cylinder axis for the secure creep testing. Unidirectional carbon fibers sheets were used for the confinement. The fiber properties are presented in Table 1. The design thickness provided by the manufacturer for a single ply is 0.165 mm. After 28 days of curing, the composite was wrapped around the cylinders in one, two or three layers corresponding to a confinement pressure of 7.4 to 22.2 MPa. A problem of insufficient anchorage length was observed during the preliminary static testing. This problem was solved by applying at the lapped joint an additional fiber sheet that had a length that did not exceed 65% of the
zyxw zy
Creep Performance of CFRP Confined Cylinders 625
cylinder circumference. Unconfined concrete cylinders were also tested and used as reference samples. Table 1. Properties of carbon fiber polymers Source
Tensile strength (N/m&plY)
Manufacturer Lab oratory
575 533
Tensile modulus of elasticity oV/mdplv) 37.5 42.5
Poisson’s Coefficient
0.22
Test Setup and Procedure Static tests
Before any creep test took place, a number of confined and unconfined concrete cylinders of 150 mm in diameter and 300 mm in height were subjected to axial compressive tests in order to obtain their ultimate strength and their stress-strain behavior. Testing procedures followed Standard CSA A23.2-9C. Short-term creep tests
zyxw
Short-term creep tests were performed on 150 x 300 mm cylinders. Standard CSA A23.2-9C loading rate was applied until the desired load was obtained. The load was then maintained until failure of the specimen. Cylinders were instrumented with an LVDT (Linear Variable Differential Transducer) and/or extensometer to monitor axial and radial strains. The short-term creep testing program started at high sustained load which was then progressively reduced for each new specimen until no failure was obtained after three days of sustained loading. This latest dead load level was then used as an upper loading level for the long-term creep testing. Long-term creep tests
The long-term creep testing was carried out according to ASTM Standard C512 using 80-ton frames (see Figure 1). Lab-built frames were mounted using upper and lower triangular trays, three huge steel bars threaded at both ends, ball-and-socket joint fixed under the upper tray and a flat jack connected to a pressurized air tank accumulator, and a manometer. Because of the ongoing danger of a fragile failure, the frames were built with two security units: Plexiglas windows installed in front of each of the triangular faces and, three large bolts and sockets systems attached at the bottom to
626 FRPRCS-6: Extenally Bonded Reinforcement for Confinemeni
the lower tray and at the top to a plate above the jack. This last security device can block the jack expansion in the case of unexpected large deformations or of a cylinder failure.
.zyxwvuts ; cr-
BALL AND SOCKET
ALUMINIUM CYLINDER 0150nn x 89nn
HUGE STEEL BARS
068nn
:i
3 CONCRETE CYLINDERS OF
0150nn x 300nn
OAD GENERATOR
zyxwvutsrq
ALUMlNIUM CYLINDER 0150"" x lOOnn FLAT JACK
LOWER TRAY
Figure 1. Frame used for the long-term creep testing
In each testing frame, three superimposed concrete cylinders measuring 150 mm in diameter and 300 mm in height were tested. Special attention was given to the superposition of the cylinders so as to secure an alternated position of the overlapping of the fiber sheets. Prior to loading, the upper and lower trays were checked for parallelism. The load was applied slowly by steps of 700 kPa (500 psi) to avoid eccentric loading. Once the desired pressure attained, it was maintained constant with a +70 @a (50 psi) margin of error. Cylinders were instrumented with two deformation acquisition systems. The first system is equipped with three displacement dials attached to the aluminum cylinders and spaced at 120 degrees around the frames. The dials (with -+0.01mm or 0.00001 m d m m precision) measure the displacement of the three cylinders all at once. The elastic deformation of the aluminum cylinders was carefully subtracted from the readings of the dials. The second measuring system consisted of four strain gauges all set on the middle cylinders of each frame. Three gauges were spaced at 120 degrees to measure axial strain; only one strain gauge was installed to measure radial strain. Temperature and relative humidity were also monitored. The axial
Creep Pe$omnce of CFRP Confined Cylinders 627
and radial strains of confined and unconfined cylinders were recorded at each loading step and at a rate corresponding to the strain increase once the target pressure level attained. Testing Parameters
zyxw zyx zy zy
Three short-term, and four long-term creep tests were carried out. The parameters of this study, which include the degree of confinement and loading level, are presented in Table 2. Table 2. Load level in function of
fi & fiC
Sustained load level Confinement scheme
Target Short-term
Long-term
0.8 $
U CI
Measured
1.2fi;0.9fic
Long-term
0.65
fi
1.2fi; 0.9fdc
0.8 fi ;0.4 fiC
fi ;0.4 f i C
c2
0.8
c2
1.2fi;0.6fic
c3
Short-term
1.7 fi ;OX5 fiC
fi ;0.5 fiC 1.7 f i ; 0.85 fiC
zyx zyxwvu
The specimen and sustained load level designations are as follows: U, unconfined concrete cylinder; C, confined concrete cylinder; 1, 2 and 3, number of CFRP layers; f i , compressive strength of unconfined concrete and; fiC, compressive strength of confined concrete.
TEST RESULTS AND DISCUSSION Compression Tests
Compression test results are presented in Table 3. Ultimate axial strains varied significantly from one specimen to another. Theoretical values were calculated according to the ISIS Canada Design Manual’. Significant differences between the experimental and expected theoretical values were found for the 3-ply specimens. The possibility of a maximum limit to
zyxw
6 2 8 FRPRCS-6: Externally Bonded Reinforcement for Confinement
confinement is not rejected. Further microscopic analysis also revealed the possibility of an insufficient resin thickness which might have led to the abrasion of the carbon fibers for the 1 and 3-ply specimens. Since these experimental results were obtained over a wide range of specimens with a standard deviation of less then 1 MPa, they were kept as reference values.
zyxwv
Table 3. Compression test results Confinement
Ultimate Axial Strains
scheme
(mm/mm) Minimum Maximum
Experimental
Theoretical
(MPa)
(MPa)
U
0.00225
0.00420
29
CI
0.01438
0.01605
38
43
c2
0.02076
0.02598
57
59
c3
0.02396
0.03048
58
73
Creep Tests When studying creep, several strain readings must be accounted for and subtracted from the recorded values. These readings include the elastic strain coming from the loading of the specimens, the dilatation or contraction of concrete due to changes in temperature or humidity and the volume variation due to the shrinkage of the concrete. In the present study, the temperature was kept in a relatively constant laboratory environment (1 S-23°C). As for humidity changes within the specimen, they were also of no concern since all specimens, including the unconfined cylinders, were covered with waterproof polymers. Shrinkage was not a relevant issue, since the testing did not start until at least one year of air drying. Therefore, only the elastic strain was subtracted from the total deformation readings. According to ASTM C512, elastic strains are obtained right after the loading for short-term creep testing and between 2 to 3 hours after loading for the long-term creep testing.
zyx
Short-term creep curves
Short-term creep test results are presented in Figure 2. According to this figure, the strain rate of concrete seems relatively constant on a log scale after about 2 minutes. Unfortunately for the C3 specimen tested at a sustained load of 170%&;85%&c, a power cut occurred after
zyxwvu zyxw zyx zyxwv zyxwv Creep Pegormance of CFRP Confined Cylinders 629
approximately 8 hours and 14 minutes of testing. The specimen was reloaded 10 hours later, and the strain readings were adjusted consequently. After 70 hours of sustained reloading, the specimen did not failed, and the loading was stopped. To give a better idea of the proper strain readings and time adjustment, the additional time and axial strain registered from the second loading was not added to the first loading until the strain rate registered before the power cut was approximately obtained. This explains the kink point in the C3 170% fi ;85% ficcurve.
-$
n
0,0001 8.64 sec 0 -200
-400 S -600 0 * -800 -1000 % -1200 .! -1400 l d 5; -1600 -1800
g s
0,001
Testing duration (days) 0,Ol 071
1.44 min
14.4 min
2.4 h
1
10
1 day
120% f ,-90% f cc
170% f,-85% f,,
1
C3 (failure at 77h)
Figure 2 . Deformations from the short-term creep tests
Given the above results, the major factor effecting creep seems to correspond to the level of sustained loading, expressed as % of fit. The lower is this level, the higher is the creep resistance (85% fit, as compared to 90%/Oc). The loading level characterized by fi does not yield any apparent relation. However, for the same loading level in terms of fiC, the specimen with the greatest load level in terms of fi ,which corresponds to a higher confinement, showed the highest creep resistance (1 80% fi ; 90%, fiC, as compared to 170% f i ; 90% fiC).
zyxwvu zy zyx zyxwvu
630 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
Long-term creep curves
Figure 3 shows the on-going results of the evolution of the axial strain with time obtained for the four experiments. The axial strain readings are deducted from the mean of three dial gauges positioned around the loading frame, which is also the average reading of three specimens (three specimens/frame). The strain gauge readings on concrete and FRP became inaccurate after a few days for all the loading levels above 80% 5 . This could be due to creep and/or relaxation of gauge and of the gauge bonding polymer under high strain. Creep deformation obtained from the strain gauges also had higher standard deviations than the readings obtained from the dials. A possible explanation would be the highly localized measure obtained from the strain gauges. Locally, a concrete may present defects and different creep behavior depending on the material immediately beneath the gauge. For comparison purposes, a creep curve obtained by Neville4 for a normal concrete at a load level equal to 70% fc' is presented in Figure 3.
Time (days)
0
50
100
150
200
0
n
E
33. W
0 c,
8
gu
ru 0
.-5
m
-500
zyxwv -1000
Neville 70% f,
zyxwvu 1 -1500 -2000 -2500 -3000
-3500
C3 100% f,-50%fcc
J
C2 100% fC-50%f,
Figure 3. Long-term creep test curves
When comparing the different curves, it can be seen that the 65%& loading curve of the unconfined concrete was quite similar to the 7 0 % 5 loading curve given by Neville, with corresponding lower strains given by a lower relative loading. As expected, higher loading resulted in higher creep strain, while similar loading led to similar creep behavior.
zyxw zyxwvuts Creep Pegormance of CFRP Conjined Cylinders 631
zyxwv
Creep strains
According to Neville4, the creep failure of concrete occurs at a total strain corresponding to the ultimate concrete strain obtained from a static compression test. This statement was not confirmed for the short-term creep tests, as shown in Table 4.Short-term creep tests showed higher strains at failure than the static compression tests. Therefore, it is expected that the long-term creep tests will also show higher strains. This phenomenon can be compared to the loading rate: the slower the loading rate is, the greater the strain at failure can be. Table 4. Projected creep resistance
Expected Failure Failure (days) (Range in days)
Actual Strain @ age W / m @ days)
Strain Rate (pm/m/day)
1330@100
2.049
449-1400
CI-1.2J;?;0.95c
[email protected]
29260
0.0859-0.1280
C2- .8fd;0.4fic
25980100
5.530
3 160-4228
6 3 0 3 0 149
5.883
2457-3345
C3- J? ;0.5 fir
4331050
14.55
1349-1797
C3-1.7fC;0.85 fir
36693”@2.95
0.4240
0.0023-0.1 15
3479003.22
393.5
0.0027-0.34
Test Designation U-0.65
C2-
C3-I 8
5
;0.5 J?c
5 ;0.9 fir
z
0.1208
3.22
‘Readings interrupted by a power cut
zy
Using the ultimate static strain as a failure criterion, combined with the hypothesis of a regular strain rate, the time of failure of the long-term creep tests were roughly estimated in Table 4. Considering that higher strains were obtained for the short-term creep tests, and considering that strain rate decreases with time and that the U- 0 . 6 5 5 specimens should not fail, a longer lifetime can be expected for all the long-term creep tests. CONCLUSIONS AND RECOMENDATIONS
At a sustained load equal to the ultimate strength of concrete, the FRP confinement was found effective to limit crack propagation for several months without showing any signs of upcoming failure. With regards to the
zyx
zyxw zy z
632 FRPRCS-6: Externally Bonded Reinforcementfor Conjinemeni
limited results of this study, two hypotheses can be drawn: (1) In FRP confined concrete cylinders, creep resistance is inversely proportional to the loading level as a fraction of fd.; and (2) for the same type of concrete and identical loading level as a function of fit, the system with the highest confinement might show the greatest creep resistance. Further investigations are however needed to confirm the results of this study and to clearly identify the creep limit of confined reinforced concrete columns. ACKNOWLEDGMENTS
The authors would like to acknowledge the financial support of the Natural Sciences and Engineering Research Council of Canada (NSERC), the Network of Centres of Excellence on Intelligent Sensing for Innovative Structures (ISIS Canada), le Centre de Recherche Interuniversitaire sur le Beton (CRIB), and le Fonds pour la Formation de Chercheurs et 1’Aide Ci la Recherche (FCAR). We also gratefully acknowledged the support of Master Builders Inc. for the donation of the FRP materials. REFERENCES
1. Neale, K., Strengthening Reinforced Concrete Structures with Externally-Bonded Fibre Reinforced Polymers - Design Manual No. 4, ISIS Canada Corporation, Winnipeg, Canada, 2001,210 p. 2. CSA, Standard 23.3-94, Design of Concrete Structures, Canadian Standards Association, Rexdale, Canada. 3. ThCriault, M. and Neale, K.W., “Design Equations for Axially-Loaded Reinforced Concrete Columns Strengthened with Fibre Reinforced Polymer Wraps”, Canadian Journal of Civil Engineering, 27(5), 2000, pp. 1011-1020. 4. Neville, A.M., Propriitis des bktons, Eyrolles, Paris, France, 2000, 806 p.
zyxwvutsr
FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan QWorld Scientific Publishing Company
DEVELOPMENT/SPLICE STRENGTH OF STEEL BARS IN CONCRETE CONFINED WITH CFRP SHEETS
zyxwv
M. H. HARAJLI AND B. S. HAMAD
Department of Civil and Environmental Engineering, American Universiv of Beirut, Beirut, Lebanon
The aspect of bond between reinforcing steel bars in tension and concrete confined with flexible carbon fiber-reinforced polymer (CFRP) sheets is analytically investigated. The bond analysis incorporates an experimentally derived local bond stress-slip model, applicable for both plain unconfined concrete and concrete confined with CFRP flexible sheets. It is found that confining the concrete with CFRP reinforcement increases considerably the bond strength and leads to significant improvement in the ductility of bond failure. Based on the analysis results, supported with experimental data, a design expression is proposed to evaluate the development length of reinforcing bars embedded in concrete confined with CFRP flexible sheets.
INTRODUCTION Bond strength between reinforcing bars and concrete is one of the most important aspects' that influence the structural performance and serviceability of reinforced concrete members under both static and dynamic earthquake loading. Bond strength can be improved by providing adequate bar developmentlsplice length, increasing the concrete covers, and confining the concrete at the critical locations where plastic hinges are most likely to develop. Fiber-reinforced polymer (FRP) composites are used to repair and strengthen reinforced concrete structural members, especially beams and columns. Many reinforced concrete beams have been tested, demonstrating the feasibility and efficiency of this technology to improve flexural stiffness and strength as well as seismic response.'. On the other hand, studies of the effectiveness of FRP in increasing the bond strength capacity of reinforcing bars in tension are very limited.
zyxwv
OBJECTIVES The main objectives of this investigation are to evaluate the bond performance of reinforcing bars embedded in concrete confined with carbon
634 FRPRCS-6: Externally Bonded Reinforcement for Confinement
zyxwvu
fiber-reinforced polymer (CFRP) flexible sheets, and to propose based on the analytical results and available experimental data, design expressions for evaluating the bond resistance and development/splice length of reinforcing bars, taking into account the effect of confinement provided by CFRP sheets. ANALYTICAL BOND MODEL
The analytical approach adopted in this study is based on a numerical solution scheme of the bond problem. In the analysis, the developed/spliced bar is subdivided into small elements and the stresslstrain at the loaded end is increased in increments. At any straidstress level during the response, the bar stress, bar slip and bond stress distribution along the development/splice length are determined using constitutive local bond stress-slip response and stress-strain model of the constituent materials to satisfy known or assumed stredstrain boundary conditions. More details of the analytical approach are described elsewhere3. The local bond law is shown schematically in Fig. 1. It is composed of an envelope curve applicable for pull-out bond failure in well-confined concrete and reduced bond stress-slip response corresponding to splitting bond failure for plain unconfined concrete or for concrete confined with CFRP flexible sheets. The splitting bond curve for CFRP confined concrete was developed recently by Harajli and Hamad4 based on experimental testing of beam specimens with short spliced bars at midspan having bar sizes db between 16 mm and 32 mm, and ratios of minimum concrete cover to bar diameter c / db between 0.56 and 2. I . The splice zone was confined by wrapping the beam with one or two layers of CFRP flexible sheets applied along the full splice length. The manufacturer's data of the sheets are as follows: design thickness of the fabric is equal to 0.13 mm, modulus of elasticity is equal to 230,000 MPa, tensile strength equals 3500 MPa and strain at break of the fibers is 1.5%. Referring to Fig. I, the envelope curve is expressed as follows5:
zyxwvu zyxw zyxwv z z zyxwvu
where u is the bond stress and s is the slip;
u1 (MPa) = 2 . 5 7 f i
; and sI =
0.15c0, s2 = 0.35 co and s3 = co, where co is the clear distance between the
zy zyxw zy
Development/Splice Strength of Steel Bars 635
ribs of the reinforcing bar; or equal to 1.5, 3.5, and 10 mm, respectively, if no information is available about the bar rib geometry; u f = 0 . 3 5 ~ ~ .
(c/dh)2/3I ul
urnox =
zy zyxwv zyxw
in which c is the minimum concrete cover and dh is the diameter of the steel bar, K = 0.78 for plain concrete and 0.92 for concrete confined with either one or two layers of CFRP flexible sheets. The terms a = 0.7; p = 0.65; and ufi = 0 . 3 0 ~ The ~ ~ .slip s,,, at which urn,, is mobilized, is calculated as follows: (1/ Q.3)Ln(+)
Smax
= '1'
+ s,Ln(-) UI
Umax
zyx (3)
where so = 0.15 mm for plain concrete and 0.20 mrn for concrete confined with CFRP sheets. For plain concrete, the descent in the bond stress u with increase in slip s follows the following expression: u=@ ,,
(s / s,,)-0.5
(4)
For concrete confined with CFRP sheets along the full splice length: r
1
In which k/-and k2 are equal to 0.8 and 0.13 for the beams confined with one CFRP layer, and 0.9 and 0.13, for beams confined with two layers, respectively. DISCUSSION OF RESULTS Analytical evaluation of the bond strength of plain unconfined concrete using the bond law for plain concrete in Fig. 1 was already undertaken in Ref. 3, where the results showed excellent agreement with experimental data.
zyx z zyxwv zyx zyxwvu zyxwvu zyxwv
636 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
Variation of predicted average bond strength at failure U, normalized to f ’ c 1 ’ 4 , versus ratio of developmenthplice length to bar diameter, L, / d, , corresponding to two different ratios of concrete cover to bar diameter, c / d, , and for different level of CFRP confinement are shown in Fig. 2. Typical results showing normalized steel stress versus slip response for CFRP confined concrete in comparison with plain unconfined concrete are shown in Fig. 3. The results were obtained assuming the reinforcing bar does not yield (i.e.,f, = infinite), db = 25 mm, and normal-strength concrete ( f ’ , 5 SOMPa).As shown, provided the concrete strength is within the range of NSC, the results are not sensitive to bar diameter or concrete compressive strength. Also, it should be pointed out that the choice of ‘A power instead of the conventional 54 power of f’,for normalization of the bond results is based on a recent study by Zuo and Darwin6 in which it was found that the use of ‘/4 power of concrete compressive strength leads to better representation of the effect of f‘,on bond strength. Figures 2 and 3 clearly show that confining the concrete with CFRP sheets leads to significant improvement in the bond strength at failure at all levels of L,/ d, investigated. The increase in bond strength for CFRP confined concrete increases as L,/d,or as c / d b increases (Fig. 2). Comparing the mode of failures in Fig. 3, it is clear that confining the concrete with CFRP sheets leads to a much gradual degradation in strength with increase in bar slip, and consequently much more ductile behavior in comparison with plain unconfined concrete. While using two layers, or doubling the area, of CFRP sheets may increase only slightly the ductility of bond failure in the post splitting range (Fig. 3), it does not lead to significant increase in bond strength as compared to concrete confined with one layer.
PROPOSED EQUATION FOR DEVELOPMENT LENGTH The predicted bond strength at failure of concrete confined with CFRP flexible sheets applied along the full developmenthplice length, corresponding to a wide range of c / d , and L,/d, parameters, were sorted in many different ways. The way that produces the least scatter is to plot the results as ratio of bond strength with CFRP to that of plain unconfined concrete, in function of A , = w f t , / d , ,where Af is the area, wfis the width ( w f / L, I 1.0 ), and t/- is the design thickness of one layer of the
zy
z zyxwv Development/Splice Strength of Steel Bars 637
i NIax
Bond Stress (u)
r
S3
Slip (s)
z
Figure 1 . Local bond stress-slip model used in the analysis
4.0 3.5
zyxwv 3.0
z 4
h
h
bU
W
5
2.5
2.0
1.5 1.o
0.5
0.0
0
10
20
30
40
50
60
Ld/db
Figure 2. Predicted variation of normalized bond strength U at failure with LJdh and C/dh for different levels of CFRP confinement
zyxw zy
638 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
CFRP fabric. Since for the thickness of the CFRP fabric used in deriving the experimentally based local bond law (tJ = 0.13 mm), the number of CFRP layers, or total thickness, did not influence much the results, the parameter w ft f /d, can be reduced to wf /d,. Typical variation of analytical predictions with w f / d bis shown in Fig. 4. Shown also in Fig. 4 is the
trend of experimental data obtained in Ref. 4 for L, / db = 5.0,upon which Eq. (2) is based, and the experimental results reported recently728for NSC and HSC corresponding to L, /d, = 15.0, in which CFRP sheets, similar to the one used in this analytical study, were applied in one or two layers with ratios w f / L, of 1/3,2/3 and 1.O, respectively. It is clear from the results depicted in Fig. 4 that expressing the bond results as proposed (bond ratio) leads a consistent trend in both the experimental and analytical results. Note that for concrete confined with ordinary transverse steel, the effect of the transverse reinforcement on bond strength is expressed as bond increment (above that for plain unconfined concrete) that increases linearly with parameter A,r /nsd, (Ref. 6), where A,r is the area per one stirrup that crosses the potential plain of splitting, s is the spacing of stirrups, and n is the number of splices or bars being developed. If an analogy were to be used with ordinary transverse reinforcement, a more appropriate parameter to reflect the influence of CFRP sheets on bond strength (assumed to be applied along the full splice/development length) would be to use 2NAf / w,nd, = 2Nt, / nd, , where N is the number of CFRP applications (or layers). However, because the presence of CFRP sheets altered the mode of splitting failure from sidesplitting to predominantly bottom-splitting4.7, s and also since doubling the number of layers did not lead to a noticeable increase in bond strength (see Figs. 2-4), it is believed that the mechanism by which CFRP sheets influence the bond strength is different from that when ordinary transverse reinforcement is used. This difference in the mechanism of bond resistance may justify the use of “bond ratio” instead of “bond increment” and, accordingly, a CFRP parameter w f /d, instead of 2Ntf /nd,that would have been used if analogy with ordinary transverse reinforcement were made. Based on the results of this study, the following equation is proposed to calculate the bond strength of concrete confined with CFRP flexible sheets, regardless of the number of layers used (see Fig. 4), provided the thickness of the layers is not less than 0.13 mm:
zy
zyxwvu zyxwvu zyxwvutsrqp zyxwvuts zyxwvutsrqpon zyxwvutsrqpo
zyxwvutsrqpzy *
.d
120000
“E E-
zn -3
5 n
$ 5
100000 80000
60000
4
1.9 1.8 1.7 1.6 1.5 1.4
-a- Confined conc (1 CFRP layer)
1.3 1.2
XExperiment (NSC)
1.1 1
0
10
20
30
40
50
60
$ t
w/db
40000
20000
2
1.9 1.8
4
$P
1.7
;;i 1.6 & 1.5
s$’
1.4
2
.CI
0
0
2
4
6
8
1 0 1 2 1 4
Slip at Loaded End, mm
5 %
1.3
1.2 1.1
Figure 3. Typical predicted variation of normalized bond force A& versus slip response
B
1
0
10
20
30
40
50
60
wddb Figure 4. Comparison of predicted and experimental results
s2 ta
Q
a
2 \o
640 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
where, in the absence of experimental data to justify larger increases, the term (1 + 0 . 0 1 7 /~d~, ) shall not be taken more than 1.5; p is a concrete
zyxwvu zyxwv zyxwv zyx zy zyxwv
strength power (p = !4 or %). For plain unconfined concrete, the bond strength can be calculated using the design equation proposed by Orangun, Jirsa and Breen', upon which the ACI Building code" philosophy for bond design is based, or the more recent expression proposed by Zuo and Darwin6. For instance, using the expression by Zuo and Darwin, the bond force A, f , ( A, f,= Uzd,L, ) at bond failure for plain unconfined concrete is calculated as follows: -= Abfs
f y4
[59.8L,(cm+0.5db)+2350A,]
zyxwvu
in whichh is the steel stress and f Ic is the concrete strength in psi, 4, is the bar area (in2), c, is the minimum and cMis the maximum value (cdc, < 3.5) of c, or cb (in inches) where cs is the smaller of % clear distance between bars + 0.25 in. or side cover, and cb is the bottom cover of the reinforcing bar. Combining Eqs. (6) and (7) leads to: )cFRp = (1
fY4
+ 0.017 -)[59.8L, w/
(cm+ 0 . 5 4 ) + 2 3 5 0 A , ]
db /
, (8)
1
0 . 1 2+ 0.9 [ e m
When Eq. ( 8 ) is solved for the development length L, and by considering the conservative simplifications made by Zuo and Darwin (2000), the following expression is obtained:
zyx
zyx
zyxw zyxw DevelopmentLYplice Strength of Steel Bars 641
_fy_ -
Ld = db
fY4
(
68 1+0.017--
2100
(9)
-
:)(’b)
wheref, is the yield stress of the steel bar in psi. In analogy with the effect of confinement using ordinary transverse reinforcement, and in order to safe guard against pull-out bond failure as currently the philosophy of the ACI Building code”, it is recommended to limit the maximum value of (1+ 0 . 0 1 7 /~d~b ) ( c / d b )to 4.0 as suggested by Zuo and Darwin6
CONCLUSIONS Based on the results of this study, the following conclusions are drawn: (a) Confining the concrete with CFRP flexible sheets leads to significant improvement in bond strength and ductility of bond failure. (b) While using two CFRP layers may increase the ductility of bond failure, it does not lead to significant increases in bond strength. (c) Based on the analytical results, supported with experimental data, general design expressions were proposed to evaluate the development/splice strength and developmentlsplice length of reinforcing bars embedded in concrete confined with CFRP flexible sheets. ACKNOWLEDGEMENTS This work is supported by the Lebanese National Council for Scientific Research (NCSR). The authors are grateful for that support, and to the Faculty of Engineering and Architecture at the American University of Beirut (AUB) for providing the computer facilities. REFERENCES 1. ACI Committee 440, “State-of-the-Art Report on Fiber Reinforced Plastic (FRP) Reinforcement for Structural Applications,” ACI 440R-96, 1996, American Concrete Institute, Detroit, MI.
642 FRPRCS-6: Externally Bonded Reinforcementfor Confinemen1
2. ACI Committee 440, “Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures,” ACI 440.1 R-0 1, 200 1, American Concrete Institute, Detroit, MI. 3. Harajli, M. H., and Mabsout, M., E., “Evaluation of Bond Strength of Reinforcing Bars in Plain and Fiber Reinforced Concrete,” ACI Structural Journal, Vol. 99, No. 4, July-Aug., 2002, pp. 509-5 17. 4. Harajli, M., and Hamad, B., “Bond-Slip Behavior of Reinforcing Bars in Concrete Confined with CFRP sheets,” Submitted for possible Publication in the ACI Structural Journal, 2002. 5 . Harajli, M., Hout, M, and Jalkh, W., ”Local Bond Stress-Slip Relationship of Reinforcing Bars Embedded in FRC”, ACI Materials Journal, 92(4), July-Aug., 1995, pp. 343-354. 6. Zuo, J. and Darwin, D., “Splice Strength of Conventional and High Relative Rib Area Bars and High-Strength Concrete”, ACI Structural Journal, V. 97, NO. 4, July-August, 2000, pp. 630-641. 7. Hamad, B., Soudki, K, Harajli, M., and Rteil, A., “Experimental and Analytical Evaluation of the Bond Strength of Reinforcement in FFW Wrapped HSC Beams,” Submitted €or review and possible publication in the ACI Structural Journal, 2002. 8. Hamad, B., Rteil, A., Selwan, B., and Soudki, K., “Behavior of Bond Critical Regions Wrapped with FRP Sheets in Normal and High Strength Concrete,” Submitted to ASCE Journal of Composites for Construction, 2002. 9. Orangun, C. O., Jirsa, J. O., and Breen, J. E., “Strength of Anchored Bars: A Reevaluation of Test Data on Development on Development Length and Splices,” Research Report No. 154-3F, Center for Highway Research, University of Texas at Austin, 1975,78 pp. 10.ACI Committee 3 18, “Building Code Requirements for Structural Concrete”, ACI 3 18-99, American Concrete Institute, Farmington Hills, Mich, 391 pp.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan @WorldScientific Publishing Company
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LATERAL PRESTRESSIP G OF RC CO FRP JACKETS
JMNS WITH
A. A. MORTAZAVI, K. PILAKOUTAS AND M. A. CIUPALA Department of Civil and Structural Engineering, The University of ShefJield Mappin Street, Shefield SI 350, UK
This paper presents the results e o m experiments on a new strengthening technique for concrete columns that uses expansive materials to apply lateral pretensioning. The level of pre-tensioning is controlled by using different amounts of expansive agent. The technique aims to enhance the capacity and ductility of columns as well as achieve better utilisation of the confining FRP material. It is shown that jacketing columns by pre-tensioned FRP materials can increase the load bearing capacity up to 30% compared with conventional wrapping and up to more than 2 times compared with unconfined concrete. However, the most important effect of pre-tensioning is a delay in the initiation of the hcturing process of the concrete through cracking. The paper presents details of experimental work undertaken with different confining materials (CFRP and GFRP) but having the same ultimate jacket strength.
INTRODUCTION RC columns can be very vulnerable to seismic actions, especially when they are deficient in lateral reinforcement. This can lead to shear failure, lap splice failure, buckling of the longitudinal reinforcement and premature concrete compressive failure at low displacements. All these failure modes reduce the ductility and energy dissipation potential of columns. Since the 1995 Kobe earthquake, composites have been used for the repair and strengthening of columns against seismic actions and seismic codes need to be updated to account for these new materials and techniques. One of the problems with FRP confinement of concrete is that the strength of the FRP jacket is not mobilised until the lateral strain in the confined concrete is very high. In some cases, the concrete will crush before the FRP jacket is fully ~ t i l i s e d ' ~The * ~ ~existing . designs equations for steel confined concrete, such as for Eurocode S4, assume that the confining steel is fully utilised. These equations should not be used for FRP confined concrete, since the predicted properties of the confined concrete are not necessarily achieved. Hence, several researchers have adopted concrete constitutive models developed for steel reinforced concrete for use with FRP jackets. It is possible to overcome this problem of strength utilisation by
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644 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
reducing the lateral strain at failure of the concrete through pre-tensioning. This approach is particularly useful for low modulus materials (such as glass) or when relatively low amounts of confinement are used’,223. However, it is not easy to apply large pre-tensioning stresses in composites, especially when using the popular method of wrapping of sheet material. Some researcher~~’~” tried to develop lateral pre-tensioning through grout or resin injections, but had limited success in changing the concrete behaviour. The pre-stressing of the composites in this work is achieved by using an expansive agent’ (EA), normally used for concrete demolition, mixed with a cement grout in different proportions. This can ensure that the concrete is actively confined by the composite even at service loads. The advantage of this method is that, by applying additional lateral pressure in the early stages of loading, concrete dilation is delayed (as will be seen from volumetric expansion graphs). This results not only in higher confined concrete strengths, but also in higher energy dissipation. This paper will present details of a part of this experimental work with two different types of confining material (glass and carbon) and two levels of initial pre-stressing. This research is conducted at the Centre for Cement and Concrete of the University of Sheffield, UK. This research forms part of work undertaken under the EU TMR Network ConFibreCrete.
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PRETENSIONING METHOD In practice, the expansion of the jacket can take place through the injection of the expansion grout (EG) in preformed cavities at specific locations, such as the corners of rectangular columns. The method as applied in the laboratory differs and depends on gap size or the other parameters. In this method, a pre-formed confining tube (jacket) is placed around an existing czncrete cylinder and then the EG, comprising cement, sand and EA, is inserted between the concrete cylinder and the jacket. The jacket confines the expansion of the grout during the hardening period (3-4 days) and pressure builds-up due to the reaction of the EG against the concrete core. Once the EG sets, the jacket and grout become an integral part of the column. The expansive pressure of the grout has been shown’ to be a function of the allowable lateral displacement. If a large displacement can take place, such as when confining with very low stiffness materials, then the pressure can reduce to zero. Hence, special experiments were undertaken’,’’ to develop the understanding of the mechanical properties of the EG so as to enable accurate prediction of the lateral pre-tensioning pressure. Figure 1 shows the maximum expansive pressure (MEP)
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calculated by E ,
.tcprel r where EFw is the Young’s modulus of elasticity of the jacket, t is the thickness of the FRP jacket, E~~~ is the maximum lateral expansion measured by the lateral strain gauges, and r is the radius of the jacket. MEP expected to be developed in EG having two different ratios of EA. The horizontal axis shows the confinement stiffness (CS) calculated by EFRp. t / r . It can be seen that the relation between MEP and CS is more or less linear, as shown by the trend lines. These relations are currently being developed by the authors into design equations for use with this method of pre-tensioning. 35 1
-
30 25
g
20
=
10
15
5
0 0
10000
20000
30000
40000
50000
CS (MPa)
Figure 1. MEP versus CS for two values of EA
EXPENMENTAL PROGRAMME The experimental programme comprised of testing concrete cylinders with different confinement configurations. This section gives details of material properties, specimen preparation, instrumentation and test procedure. The properties of the materials used in this study are shown in Table 1.
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Fibre type
CFRP GFRP
t (mm)
0.1 17 0.135
(MPa) 240000 65000
EFRp
f,,,
(MPa)
3900 1700
EFM,
(%I
1.55
2.80
where f ,,, and cFRPu are the ultimate tensile strength and ultimate elongation in the FRP jacket. The concrete used was made with Ordinary Portland Cement, maximum aggregate size 10 mm and cylinder strength &) of 32 MPa.
646 FRPRCS-6: Externally Bonded Reinforcement for Confinement
Specimen Details
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Since the chemical pre-tensioning pressure (expansive pressure) is caused by the EG reacting against the confining jacket, this means that the magnitude of this pre-tension depends on the degree of stiffness of the jacket and percentage of EA. These two parameters were investigated in an extensive series of experimental work. A total of twenty seven lOOmm x 200mm concrete specimens were prepared without any pre-tensioning, 54 specimens were prepared with different levels of confinement pre-stressing and 18 unconfined specimens were tested under compression to determine the plain concrete strength. Four different confining materials were used (steel, glass, aramid and carbon) with different number of layers and ratios of EA. In this paper, only some results from Carbon and Glass FRF'jackets will be presented.
Instrumentation and Testing For the measurement of lateral strains, three 15mm surface strain gauges were attached horizontally at the mid-height of each specimen, 120" apart. To measure longitudinal strain, two surface strain gauges of 15mm length were mounted vertically in the middle height of the specimen. In addition to strain gauges, two other devices (DV1 and DV2) were designed to measure lateral and longitudinal strain by using displacement transducers. These devices are shown in Figures 2 and 3. The tests were undertaken in a servo-controlled hydraulic actuator under displacement control. All samples tested by monotonically loading.
Figure 2. Plan view of DVl
Figure 3. Elevation view DV2
EXPERIMENTAL RESULTS Due to the large amount of experimental data produced by each test, only a limited amount can be presented in this paper. Two pairs of specimen
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Lateral Prestressing of RC Columns with FRP Jackets 647
confined with Glass and Carbon FRP were selected. Each pair shows the effect of direct wrapping and pre-tensioning of the jacket. The properties of the fibres used as shown in Table 1. The glass fibre sheet was bi-directional (90"), hence the effective thickness of confinement is 0.0675 mm. For the selected specimens 4 layers of glass fibre were applied with an overlap of 110 mm. In the first specimen (WG4) the glass fibre sheet was applied directly onto the appropriately prepared concrete core. The second specimen of this pair (PG4-30) had the same amount of glass fibre, but the jacket was pre-tensioned with a 6 mm thick EG having 30% EA. The pair of CFRP confined specimens had only one layer of fibres with the same overlap as for the GFRP specimens. However, the pre-tensioning grout only had 20% EA (specimen PCI-20). The total confinement strength was the same for all specimens (around 460 N/mm width), but the carbon layer was 55% stiffer in the radial direction than the 4 layers of glass fibre.
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Failure mode Failure was always explosive due to the high strain energy stored by the FRP material and it took place around the middle of the cylinder height. Figures 4(a) and 4(b) show the failure of PG4-30 and PC1-20 respectively.
Figure 4. (a) failure of PG4-30, (b) failure of PC1-20
As shown in these figures, the mode of failure of the glass fibre confinement is completely different from that of the carbon. This is due to the bi-directional nature of the glass fibre wrapping which at failure has the effect of redistributing lateral strains over the full height of the specimen. In
648 FRPRCS-6: Externally Bonded Reinforcement for Confinement
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the case of carbon, the failure of the fibres at one location lead to the rapid debonding of the filaments near that location only. Stress-strain results
Figures 5 and 6 show the stress-strain relationships for all specimens. I
-25000
16 c.4
,
I
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-20000
-15000
-10000
-5000
0
5000
10000
Microstrain
Figure 5 . Stress-strain curve for WG4 and PG4-30 specimens
-20000
-14000
-8000
-2000
4000
10000
16000
22000
Microstrain
Figure 6. Stress-strain curve for WCl and PC1-20 specimens
Positive strain indicates axial compression and negative strain indicates lateral tension, as obtained from the averages of strain gauges on the surface of the jacket. The vertical axis shows the stress normalised with respect to the unconfined concrete strengthf,,.
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z zyxwv zyxwv Lateral Prestressing of RC Columns with FRP Jackets 649
GFRP confinement
The lateral pre-tensioning strain developed in PG4-30 is around 7300 p& and this also led to a modest expansion in the axial direction. This expansion was restrained by the glass fibres in the axial direction. A strength of 2.23 Loand 1.88Lowas achieved by PG4-30 and WG4, respectively. The failure of WG4 took place when the average lateral strain was around 18000 pe whilst for PG4-30 the average lateral strain at failure exceeded 25000 p, which means that the strength of the glass was fully utilised. It is worth noting that in WG4 the lateral confinement was only mobilised at around 80% of Lo,whilst for PG4-30 a different behaviour can be noticed all together.
CFRP confinement The CFRP confined specimens had a similar behaviour to the GFRP confined specimens. The lateral pre-tensioning strain developed in PC 1-20 is around 5300 pe and this again led to a modest expansion in the axial direction. A strength enhancement of 2.10L0 and 1.7Of,, was achieved by PC1-20 and WC1, respectively. The failure of both specimens took place when the average lateral strain in the carbon sheet was in excess of the 1.55% specified by the supplier. Again, there is a substantial difference in the level at which the confinement is mobilised. Hence, it is worth examining the volumetric strains of these specimens. Volumetric strain Figures 7 and 8 show the normalised axial stress against the volumetric strain for all specimens. In both pairs, the volume decreases at the initial stages of loading until a critical level is reached just below Lo. At this stage, volumetric dilation begins, which means that concrete cracking is developing rapidly. In the pre-tensioned specimens, PG4-30 and PC 1-20, the volumetric dilation is delayed by almost 50% offco.This has advantages in seismic loading, since the damage in the concrete will be delayed and the reinforced concrete element will have a chance to dissipate more energy. In addition, concrete is actively confined even at service loads.
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650 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement 2
1- 1 PG4-30
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-WG4
le -0.0015
0.0035
0.0085
0.0135
0.0185
0.0235
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Figure 7. Normalised axial stress versus volumetric strain for WG4 and PG4-30 specimens
r--
-0.0025
2.5
I
7
0.0005
0.0035
0.0065
0.0095
Volumetric strain (V-VO)NO
Figure 8. Normalised axial stress versus volumetric strain for WCl and PC1-20 specimens
Discussion
Even though all specimens had the same strength in the confinement jacket, they behaved differently and achieved different strengths at different lateral and axial strains. The pre-tensioning has led in both cases to higher strengths, and full utilisation of the confinement material. Though it appears that the GFRP confined specimens developed higher stresses, this may be partly due to the fact that the GFRP jacket is carrying some of the axial load. What is of interest in these two pairs is that the ultimate axial strain, E,, appears to be significantly higher in the CFRP confined specimens. The authors attribute this partly to the fact that the GFRP jackets slipped during
zyxwvu Lateral Prestressing of RC Columns with FRP Jackets 651
testing. As a result the true strain on the concrete core is higher than recorded on the jacket. In this particular case, for PG4-30 at failure, the axial concrete core strains recorded were 15000 ye. CONCLUSIONS
The results from the four specimens confined with Glass and Carbon of equal strength show different behaviour and strength enhancement. Pretensioning of the jacket led to higher strengths and a significant delay in the initiation of the fracturing process of the concrete through cracking. This is expected to lead to a better behaviour both at service loads and under cyclic loading, such as experienced during earthquakes. ACKNOWLEDGEMENTS
The authors acknowledge the financial support of the Ministry of Energy of the Islamic Republic of Iran, the financial support of the EU for TMR Network ConFibreCrete and the Marie Curie Fellowship Grant HPMF-CT-2001-01279. REFERENCES
1. Mortazavi, A.A. Pilakoutas, K. and Son, K.S. “RC column strengthening by lateral pre-tensioning of FRP”, Journal of Construction and Building Materials (approved for publication 2003). 2. Pilakoutas, K. and Mortazavi, A.A. “Laterally Pre-stressed Concrete with Composites”, Proceedings of the Fifth International Conference on Fibre-reinforced Plastics for Reinforced Concrete Structures, Cambridge, UK, 200 1, Vol. 2, pp. 855-864. 3. Mortazavi, A.A. and Pilakoutas, K. “Pre-tensioning of Composites by Lateral Pressure”, Proceedings of the International Conference on FRP Composites in Civil Engineering, Hong Kong, December 12-15, 200 1, Vol. 1, pp. 345-354. 4. EC8, Eurocode 8 - Design provisions for earthquake resistance of structures (Drafl), ENV 1998-1- 1, 1996. 5. Saadatmanesh, H. Ehsani, M.R. and Jin, L. “Seismic strengthening of circular bridge pier models with fibre composite”, ACI Structural Journal, 93(6), 1996, pp. 639-647.
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652 FRPRCS-6: Externally Bonded Reinforcement for Confinement
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6. Priestley, M. J. N. and Seible, F. “Design and seismic retrofit measures for concrete and masonry structures”, Construction and Building Materials, 9(6), 1995, pp. 365-377. 7. Harries, K.A. and Kharel, G. “Behaviour of modelling of concrete subject to variable confining pressure”, ACI Material Journal, 99(2), 2002, pp. 180-189. 8. Betonamit, The non-explosive cracking agent for universal application, Kriscut Plant Hire & Sales co. Ltd, UK, 1998. 9. Pilakoutas, K and Mortazavi, A.A. “Ductility through external lateral confinement of RC members with FRP”, Non metallic (FRP) reinforcement for Concrete Structures, Proceeding of the Third International Symposium, Sapporo, Japan, October 14-16, 1997, Vol. 1, pp. 225-232. 10. Mortazavi, A.A. “Behaviour of concrete confined with lateral pretensioned FRP PhD Thesis (expected Dec. 2002), The University of Sheffield, UK. ’I,
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan @WorldScientific Publishing Company
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CONFINEMENT OF RC RECTANGULAR COLUMNS USING GFRP
A. PROTA, G. MANFRED1 AND E. COSENZA Department of Structural Analysis and Design, University of Naples “Federico I/” via Claudio 21, 80125 Naples, Itah The confinement of Reinforced Concrete (RC) columns represents one of the most promising applications of Fiber Reinforced Polymer (FRP) to civil structures. The reasons for such upgrade could be generally related to durability issues, design or construction mistakes, increase of live loads or need for seismic retrofit. In all these cases, FRP laminates provide an effective and competitive strengthening technique and offers advantages such as easy and fast application, high durability, low impact on the use of the structure, negligible increase of structural mass as well as of member dimensions. The majority of studies have been performed on the confinement with FRP of circular columns, where the contribution of composites is fully exploited. A loss of effectiveness occurs in the case of square cross-sections where the presence of the corners reduces the confining action of the FRP jacket. Such problem becomes particularly critical for rectangular columns; despite that, very few studies have been conducted on them. The present paper deals with rectangular columns with high ratio between the sides of the cross-section. The experimental program concerning members subjected to axial load is herein presented and the upgrade technique using Glass FRP (GFRP) laminates is described. The effectiveness of such confining system is investigated also with respect to different fiber orientations (unidirectional, bidirectional and quadriaxial). Some preliminary experimental results are discussed in terms of column strength, failure mode and strains of the FRP jacket.
INTRODUCTION Within the applications of composites in construction, the confinement of RC columns is one of the most common. For both building columns and bridge piers, strengthening using FRP ensures an easy and fast installation, strength and/or ductility increase, high durability, low impact on the use of the structure, and almost no increase of mass and geometrical dimensions of the cross-sections. The confining action of FRP jackets gives the best performance on circular columns, whose geometrical configuration allows the fibers to be
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654 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
effective on the entire cross-section. A different behavior characterizes square and rectangular columns; in these cases, due to the presence of the corners a part of the cross-section remains unconfined. Similar to the confinement with steel hoops, that loss of effectiveness is modeled with parabolic areas defined by the corners and eventually by longitudinal steel rebard. This still represents an unresolved issue even in terms of code provisions',2. Experimental studies have been carried out on the confinement of square or rectangular columns using FRP. In order to assess the effectiveness of the system, columns subjected to axial load have been examined. Square columns strengthened with Carbon FRP (CFRP) have been tested and the effect of f45-degree laminates has been investigated3. GFRP laminates have been adopted within other experiments and the square members strengthened using both unidirectional and 0/45-degree laminates4. An experimental program has been lately developed with respect to rectangular columns strengthened by unidirectional GFRP composites6. RESEARCH OBJECTIVES The goal of this research is to investigate the effectiveness of FRP confinement for rectangular cross-sections and assess the influence of different fiber textures on both global behavior and failure mode of such columns. GFRP laminates are used to strengthen the elements and the influence of diffetent fiber textures is evaluated. This represents the innovative aspect of the presented research program, since tests performed using GFRP jackets to confine rectangular columns6 were based only on unidirectional sheets. In addition to them, this research aims at evaluating also the effectiveness of bidirectional and quadriaxial textures. The experimental results are expected to provide important insights about strength, deformability and failure mode of rectangular columns confined using GFRP. Moreover, the analysis of monitored laminate strains will allow assessing the effectiveness of its confining action on crosssections with high long/short side ratio. These outcomes will be used to check the assumptions of the numerical model proposed for strength prediction of FRP-confined cross-sections5 and to further improve that with respect to rectangular columns.
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Confinement of RC Rectangular Columns using GFRP 6.55
EXPERIMENTAL PROGRAM The specimens had rectangular cross-section with sides of 420 mm and 115 mm, respectively, and were 1.5 m high as shown in Figure 1. The forms were shaped so that the rectangular cross-section had a rounded corner with radius equal to 20 mm. This allowed reduction in time needed to prepare each specimen prior to FRP installation. In order to ensure a proper application of the axial load to such 1/3 scale columns, two bulbs with dimensions 700 mm x 350 mm x 250 mm were placed at top and bottom of each specimen. The longitudinal steel reinforcement was realized by 8 bars, half having diameter equal to 14 mm and the remaining with diameter of 12 mm (Figure l), yielding a percentage equal to 2.2% of the gross cross-section. Two stirrups having diameter of 6 mm were used and spaced at 100 mm on center along the height. A specific reinforcement layout was selected for the enlargements. The concrete cover was equal to 25 mm. Concerning material properties, for all columns concrete had a compressive strength, fc, equal to 12 MPa and steel was characterized by a yield strength, fy,equal to 420 MPa.
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Side view
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700
Section A-A
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700
I
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Figure 1 . Specimen geometry and steel reinforcement layout (dimensions in mm)
The first part of the experimental program (herein presented) concerned the strengthening of columns using GFRP unidirectional laminates, which was accomplished by following the steps indicated in Figure 2. First, two plies with fibers parallel to column axis were installed on each short side
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656 FRPRCS-6: Externally Bonded Reinforcement f o r Confinement
and extended for 75 mm on each long side (Step 1 in Figure 2). Then, the other three steps followed: they aimed at obtaining a 3-ply jacket with fibers perpendicular to the member axis and avoid overlapping of laminate at the same column height. Each ply had a fiber density equal to 900 g/m’ and was characterized by modulus of elasticity, Et equal to 73,000 MPa and ultimate tensile strength, P,,, equal to 3,400 MPa. The second part of the experimental program, which is currently in progress, deals with strengthening the specimens by using bidirectional and quadriaxial laminates. Apart from the type of fiber, the upgrade has been performed by the same steps described above and summarized in Figure 2. In total, twelve columns will be tested. The repetition of experimental results for each type of column will be checked on three equal specimens. Four types of column will be analyzed: bare, strengthened with unidirectional, bidirectional and quadriaxial GFRP laminates, respectively. STEP 2
STEP 1
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STEP 3
STEP 4
- /
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2 plies
First ply
Second ply
Figure 2. Upgrade scheme
TEST SETUP AND INSTRUMENTATION
The adopted set-up can be observed in Figure 3. A universal machine with a maximum capacity of 5000 kN was used and tests were load-controlled. The axial load was recorded by a cell disposed between the plate of the machine and a very stiff plate placed on the top bulb in order to distribute the axial force equally on the entire cross-section. During tests both displacements and strains were recorded. Three linear variable displacement transducers (LVDT) were mounted on each
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Confinement of RC Rectangular Columns using GFRP 657
specimen. Two of them measured the longitudinal relative displacement between bottom and top cross sections of the column on each long side (1 and 2 in Figure 3); such values allowed the computation of the average longitudinal deformation as well as checking the symmetry on the two sides. The third LVDT recorded the horizontal displacement of the mid-height cross-section in the direction parallel to its short side (Figure 3) in order to assess whether bending due to buckling occurred. Strain gages were installed on the GFRP jacket according to the layout as depicted in Figure 4. Twelve of them were placed at mid-height: two on the short sides (5 and 6 in Figure 4) and five on each long side (12 to 16 on side 1 and 7 to 11 on side 2 in Figure 4). Out of the remaining eight, four strain gages were installed at 375 mm (1 to 4 in Figure 4) and four at 1120 mm (17 to 20 in Figure 4) from the top of the column, respectively.
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side 2 Figure 3 . Test setup and LVDT positions
side 1
PRELIMINARY EXPERIMENTAL RESULTS As mentioned, the experimental program is still in progress. The results herein presented concern two bare columns (i.e., B-1 and B-2) and three specimens strengthened using unidirectional GFRP laminates (i.e., S- 1, S-2
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658 FRPRCS-6: Externally Bonded Reinforcement for Confinement
and S-3). They are discussed in the following sections in terms of strength, stiffness, axial deformation, failure mode, and jacket strains. Strength, Stgfness and Axial Deformation The failure of the virgin specimens occurred under a very similar ultimate axial force, as reported in Table 1. The GFRP strengthening provided a significant strength increase; a comparison with the average ultimate capacity of the bare columns (i.e., 1068 kN) underlines that such gain ranges between 26.2% (i.e., specimens S-3) and 30.9% (i.e., specimen S-1).
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Figure 4.Arrangement of strain gages on the FRP jacket
Such behavior is also depicted in Figure 5 where the axial load is plotted versus the axial strain of the column (on the height of 1500 mm). Due to data acquisition problems, the LVDT values were not fully recorded for specimen B-1; this is the reason for not including its ultimate strain
zyxw zyxw zyxwvu Confinement of RC Rectangular Columns using GFRP 659
value in Table 1 as well as its curve in Figure 5. Along with the discussed strength increase, the curves of Figure 5 allow the stiffness of strengthened members due to the presence of the GFRP jacket to be evaluated. Based on the initial slope of the curves (up to 300 kN), the average stiffening has increased by about 55%.
Table 1 . Ultimate performance of tested columns Column B- I B-2 s-I 92 s-3
Ult. Axial Load (W) 1070.33 1065.45 1398.1 I 1388.32 1348.03
Avg. Strength Incr.
Ult. Axial Strain
(%!
(mdmm)
+ 26.2 Yo
0.00417 0.00618 0.00517 0.00522
----------------+ 30.9 Yo + 30.0 Yo
---------
Even though they are stiffer as compared to virgin columns, the strengthened members show an important improvement in terms of ultimate axial deformation. Such parameter was calculated by dividing the axial displacement corresponding to the ultimate axial load over the column height (see Table 1 and Figure 5). Recorded values show increases of the ultimate strain ranging between 24% (i.e. S-2) and 48% (i.e. S-1). These percentages are important to underline the beneficial effect of the GFRP jacket on the ultimate axial strain rather than to quantify the entity of such effect. In fact, it is important to recognize that, being the tests forcecontrolled, it is not possible to exactly identify the point corresponding to the ultimate axial strain (i.e., quasi-horizontal branch around the peak load). Failure Modes
The failure mode of both virgin specimens (i.e., B-1 and B-2) was due to concrete crushing occurring at mid-height of the columns (Figure 6-a). This is also consistent with the ultimate axial strain which is slightly higher than 0.004. The GFRP upgrade moved the failure of strengthened specimens from concrete to the composite jacket, as depicted in Figure 6-b. Since this crisis involved fiber breakage, the failure of strengthened columns was brittle.
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660 FRPRCS-6: Externally Bonded Reinforcement for Confinement IS00
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0
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0.W3
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Figure 5. Axial load vs. axial average strain for bare and strengthened columns
(a> (b) Figure 6. Failure mode of control (a) and strengthened (b) columns
Laminate strains Interesting information were provided by strain gage measurements. While data processing is still in progress, some preliminary results are herein presented with respect to strain gages located at mid-height of strengthened columns (Figure 4). Figure 7 shows strain profiles on the two sides of the rectangular cross-section for load levels of 300 kN and 600 kN, representing about 20% and 40% of the ultimate axial force.
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Confinement of RC Rectangular Columns using GFRP 661
For the lower load level, the strain diagrams of columns S- 1, S-2 and S3 are very similar; strain values are not very different and range between 0.005% and 0.01%. For load equal to 600 kN, the confining action of the fibers becomes more significant with strain values up to 0.025%. The trends depicted in Figure 7 appear to be consistent with the formation of parabolic areas that are theoretically expected and are due to the presence of section corners and longitudinal steel rebars. This aspect will be further investigated in next steps of the research toward a comprehensive assessment of the effectiveness of FRP jackets on rectangular cross-sections.
ier
: : 1I .
s-3
1
Figure 7. Laminate strains at mid-height at 20% and 40% of ultimate axial load
CONCLUSIONS Preliminary results of an experimental program confirmed that the confinement with GFRP laminates could represent an effective technique for the strengthening of RC rectangular columns. Significant increase in both strength and ultimate axial strain was achieved by using unidirectional laminates. Tests now in progress will allow assessing the effectiveness of GFRP also with respect to bidirectional and quadriaxial fiber textures. The development of the experimental campaign will also provide important information about the effectiveness of the confinement of rectangular cross-sections with composites. A preliminary assessment of the strain distribution along the sides underlined very similar strains of the
662 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
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jacket for low load levels (i.e., about 20%). As the load increases, peaks in the strain trends were observed; this could be due to the formation of parabolic areas which is theoretically expected. Further analysis will be performed on this aspect in the next steps of the research; the authors believe that the outcomes will be a useful reference for the modeling of rectangular cross-sections confined with FRP. ACKNOWLEDGMENTS
The authors wish to acknowledge MAPEI S.p.a., Milano, Italy, for supporting both construction and strengthening of the specimens. Thanks is extended to Messrs. Balsam0 and Zaffaroni for their contribution. REFERENCES 1. ACI Committee 440, Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures, American Concrete Institute, Farmington Hills, MI, 2001. 2. fib Task Group 9.3, Externally Bonded FRP Reinforcement for RC Structures, International Federation for Structural Concrete, printed by Sprint-Digital-Druck, Stuttgart, 200 1. 3. Parretti, R. and Nanni, A., “Axial Testing of Concrete Columns Confined with Carbon FRP: Effect of Fiber Orientation”, Proceedings CD-ROM of the Third International Conference on Composites in Infrastructure, San Francisco, California, US, 10-12 June, 2002, Paper N. 8. 4. Pessiki, S., Harries, K.A., Kestner, J.T., Sause, R. and Rides, J.M., “Axial Behavior of Reinforced Concrete Columns Confined with FRP Jackets”, ASCE Journal of Composites for Construction, 5(4), 2001, pp. 237-245. 5 . Realfonzo, R., Prota, A., Manfredi, G. and Pecce, M., “Flexural Strength of FRP-Confined RC Columns”, Proceedings CD-ROM of the first j b Congress “Concrete Structures in the 21st century”, Osaka, Japan, 13-19 October, 2002, Disk B, pp. 41-50. 6. Tan, K.H., “Strength Enhancement of Rectangular Reinforced Concrete Columns using Fiber-Reinforced Polymer”, ASCE Journal of Compositesfor Construction, 6(3), 2002, pp. 175- 183.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan QWorld Scientific Publishing Company
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BEHAVIOUR OF RC COLUMNS RETROFITTED BY FIBRE REINFORCED POLYMERS UNDER CYCLIC LOADS H. SHAHEEN AND T. RAKIB
Housing and Buifding Research Center, 87 El-Tahrir st. Giza, Egypt Y. HASHEM AND I. SHAABAN
Faculty of Engineering, Zagazig Univ., 108 Shobra St., Cairo, Egypt A. ABDELRAHMAN Structural Eng. Dept., Ain Shams Univ., Cairo, Egypt Retrofitting of reinforced concrete (RC) elements with FRP wraps is one of the techniques used successfully for the last few years. RC rectangular columns are used extensively in both residential and commercial buildings. Consequently, a comprehensive study of the different parameters affecting the seismic behavior of RC columns strengthened with FRP is vitally needed. The objectives of this research are to study the behavior of rectangular RC columns wrapped with FRP sheets under cyclic lateral and axial loading. The main parameters investigated in the research are: different anchorage systems, volumetric ratio of FRP and spacing between FRP layers. Five columns with dimensions 150x 450x2300 mm were tested under both cyclic lateral and axial loading. Different recommendations are provided for the use of FRP in strengthening rectangular columns.
INTRODUCTION
During the last three decades, considerable changes in seismic design codes were introduced. In Egypt, many existing RC structures do not comply with any of the recent seismic code provisions. Deficiencies, often found in typical moment-resisting frames, are inadequate shear strength, flexural strength and ductility of columns. During earthquake loading and at high level of compressive or shear stresses, sudden collapse may occur and there may not be enough warning signs. As a result, retrofitting of RC columns is needed for buildings located in seismic regions. Recently, attention has been focused on the use of FRP materials for structural rehabilitation. If correctly used, FRP can result in significant enhancement to both ductility and strength of RC members. Previous work was undertaken on strengthening circular and square columns'. Rectangular
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664 FRPRCS-6: Externally Bonded Reinforcement for Confinement
columns are commonly used for residential and commercial buildings. Strengthening of rectangular columns subjected to axial loading was also reported’. This paper investigates the performance of rectangular RC columns wrapped by FRP sheets and subjected to a combined axial compression and cyclic flexural loading. Rectangular RC columns of aspect ratios of 1 to 3 were tested under constant axial load and increasing cyclic lateral load up to failure. Carbon FRP (CFRP) wraps were used in different volumetric ratio, spacing and with or without anchors.
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TEST PROGRAM The test program includes eleven specimens of which five of them have been tested. The columns have a rectangular cross section of 150x450 mm and a height of 2300 mm. The columns were tested horizontally under constant axial load combined with cyclic lateral load. It consisted of a right part of 1300 mm long and a left part 700 mm long with a beam stub in the middle as shown in Fig. 1. The right part of each specimen constituted the test portion. It represents a column extending from the beam-column connection to the point of inflection. The beam stub provided a point of application for the lateral load. The dimensions of the beam stub were chosen so that the failure occurs in the column rather than at the joint. The left portion was heavily reinforced and provided with two 6 mm thickness steel plates in order to force hinging into the right part. The longitudinal reinforcement ratio of the columns was 1%. Stirrups were 6 mm diameter bars spaced at 150 mm with a volumetric ratio of 0.3%. Extra stirrups were placed at the ends of each specimen where the axial load was applied to prevent crushing of concrete. CFRP laminates were applied to strengthen the columns C2 through C5 with different schemes. The thickness of CFRP laminates was 0.1 1 mm, while its tensile strength and modulus were 2400 MPa and 240 GPa, respectively. The characteristic compressive cube strength of the concrete was 25 MPa while the yield stress of the steel was 420 MPa for the longitudinal reinforcement and 3 10 MPa for stirrups.
Test Specimens The overall test program consists of eleven specimens. This paper represents the results of only five columns. The properties of the tested specimens are given in Fig. 1 and summarized as follows:
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RC Columns Retrofitted by FRP under Cyclic Loads 665
a. Specimen C1 is the reference specimen. A constant axial compression load of 0.15fc,Ac was applied on the specimen up to failure. This axial compression load was kept constant for all specimens. b. Specimen C2 was wrapped in the transverse direction with two layers of lateral CFRP laminates of 100 mm width .The clear distance between laminates was100 mm and the volumetric ratio of FRP was 0.2%. C. Specimen C3 was wrapped with one CFRP layer with a ratio of 0.1%. The width and spacing between the laminates were the same as C2. d. Specimen C4 was wrapped with one layer of CFRP with no spacing between the layers. The volumetric ratio of FRP was 0.2%. e. Specimen C5 was wrapped with one layer of CFRP as for specimen C3. Steel plates of 50mm width, 190mm length, 12mm thickness and 240 MPa yield stress, were used to anchor the lateral laminates. The plates were discontinuous, this is to investigate the steel plates contribution to concrete confinement and increasing the ductility of columns, independently from their contribution to the flexural capacity of columns. Two linear variable differential transducers (LVDTs) were mounted on the concrete surface at the critical section adjacent to the beam stub to measure the concrete strain and average section curvature in the plastic hinge region. The lateral displacement of the columns was also measured using LVDT’s. Electrical strain gages were attached on the longitudinal and transverse reinforcement of each specimen. As well as on the CFRP sheets. Test Setup and Procedure
Two independent reaction frames were used in the testing setup, as shown in Fig.2. The first frame was a 2000 kN capacity, large-scale testing double portal frame, while the second frame was a 3000 kN capacity, closed, horizontal, reaction frame. The closed horizontal frame was located under the cross girder of the double portal frame such that the centerline of the closed frame was oriented parallel to the line of support of the cross girder. The lateral reversed cyclic displacement was applied at the stub of the beam-column joint using a double acting hydraulic cylinder of 600 kN compression capacity and tension capacity of 400 kN. The cylinder was equipped with a tensionlcompression load cell of +/- 680 kN capacity to measure lateral load. The axial compression load was applied by a manual hydraulic cylinder of 900 kN capacity. The specimens were supported on two concrete blocks, spaced 2.10 m apart. Each block was equipped with a
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666 FRPRCS-6: Externally Bonded Reinforcement for Confinement
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hinged support at its top. The upward reaction was transmitted to the cross girder of the frame through two 500 kN hydraulic cylinders, each cylinder was equipped with a threaded adjustment and an end ball bearing. At the beginning of each test, the required axial load was applied and kept constant throughout the test. The lateral load was applied in stroke control as shown in Fig. 3. two layers of CFRP for C2 one layer of CFRP for C3
2 steel plates
200
450
1 5 0
200 700
1300
11x100
700
Steel plates
One layer of CFRP
700
11x100
7
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one layer of =Rp
11x100
700
Fig.1 Details of test Speciments
Fig. 2Test Test set-up Set-up Fig.2
Fig. 3 Load Load History History Fig.3
RC Columns Retrofitted by FRP under Cyclic Loads 667
OBSERVED BEHAVIOR The lateral load-displacement hysteresis loops of the control specimen are shown in Fig.4. The ultimate lateral load was 237.1 kN. The loaddisplacement relationship was linear until the ultimate load was achieved. Progressive drop in the strength occurred at a lateral displacement of 4 mm. Failure load was reached at a lateral displacement of 6.75 mm. A major diagonal tension crack appeared at a lateral load of 114.0 kN and extended up to failure as shown in Fig. 5. The specimen failed in a brittle shear mode. The lateral load-displacement hysteresis loops of specimens strengthed by CFRP are shown in Figs. 6 to 9. For all the strengthed specimens, a major flexural crack initially appeared at the critical section adjacent to the beam stub and extended up to failure. Gradual decrease in the lateral load occurred after the ultimate load was reached. No shear cracks were observed as the CFRP wraps prevented diagonal tension cracks even at high lateral displacement. At onset of flexure failure, crushing of concrete, buckling of the longitudinal bars and rupture of CFRP sheets at the corners of the specimens were observed. The ultimate lateral load of the wrapped specimens ranged from 1.2 to 1.46 times the strength of the control column C 1. It should be noted that crushing of concrete was observed for the entire full depth of all specimens at the critical section adjacent to the beam stub, however, for specimen C5, crushing of concrete was limited to 100 mm of the top and bottom of the cross section. The concrete core of C5 did not crush due to the confinement provided by the steel plates anchorage. Also, it was noted that the concrete crushing for all wrapped specimens was concentrated in the first lOOmm adjacent to the stub except for specimen C2, the concrete crushing occurred at the second lOOmm adjacent to the stub, i.e. at the clear spacing between CFRP laminates. Figs. 10 and 11 show typical failure of specimens retrofitted with CFRP.
Fig.4 Lateralload-displacement for ci
Fig.5 Brittle shear failure of ci
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668 FRPRCS-6: Externally Bonded Reinforcement for Confinemenl
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Fig.6 Lateral load-displacement of C2
Fig.10 Failure of specimen C2
Fig.7 Lateral load-displacement of C3
Fig. 11 Failure of specimen C4
ANALYSIS OF TEST RESULTS The strength envelope, which is the relationship between the peak load at each cycle and the corresponding displacement, is presented for the tested columns in Fig. 12. The lateral strength increases considerably for all the wrapped specimens. The highest strength was that of specimen C2 with two CFRP wraps, 46% higher than the control column. Specimen C3, with one layer of CFRP, produced the lowest increase, which was 20% higher than the control column. This increase in the flexural strength is attributed to the confinement provided by CFRP, which resulted in an increase in the concrete strength and strain. It should also be noted that the longitudinal
RC Columns Retrofitted by FRP under Cyclic Loads 669
reinforcement bars exhibited the strain hardening; consequently the stress in the steel bars exceeded the yield stress leading to an increase in the overall strength of the retrofitted columns. Specimen C2 also survived more cycles than all the other specimens, as shown in Table 1. Column C5 with anchored CFRP wraps had ultimate load close to C4 with zero spacing between wraps, (34% and 39% higher than the control specimen Cl), despite the CFRP ratio being 50% less than for the anchored column.
Displacement Ductility Analysis
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Displacement ductility factors were evaluated and used to compare the ductility of different columns. The yield displacement Ay of an equivalent elasto-plastic system with reduced cracked stiffness was calculated from the lateral load-displacement curve as the corresponding displacement at the intersection of the secant stiffness at a load level of 75% of the ultimate lateral load and the tangent at the ultimate load. The strength envelope is used to determine the yield displacement3. The failure load was taken equal to 75% of the ultimate load on the descending branch on the strength envelope and the corresponding displacement Af was computed. The displacement ductility factor is defined as the ratio between Af, and A, as given by Equation (1).
Displacement Ductilityfactor
No.
CI c2 c3 c4 c5
= Af/Ay
(1)
Table 1 . Lateral load-displacement test Results Visible Cracking Level Ultimate Load Level P,/ P, of
P,, (kiv) 114.0 275.0 200 230 215
A,, (mm) 3.5 8.5 4.8 6.4
5.5
P,, (kiv) 23 7.I 348.5 284.8 329.8 319.1
A, (mm) 4.04 27.80 16.09 12.10 11.85
61) I 1.46 1.20 1.39 1.34
Failure cycle 4 I1 8 9 9
The control column failed in a brittle shear mode at a low ductility factor of 2.3 as shown in Table 2. All the strengthed columns failed in a ductile mode with ductility factors more than 4.5. It should be noted that the satisfactory level of ductility is achieved by a minimum of ductility factor of three4. Specimen (C2) with double layer produced the highest value of ductility factor (3 times that of Cl). This result highlights the role of increasing the volumetric ratio of CFRP in enhancing both the ductility and lateral
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670 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
strength of the columns. It was observed that the ductility of columns C4 and C5 were similar (2.72 and 2.25 times that of the control column) despite the latter having 50% less CFRP wraps. This is attributed to the contribution of the anchorage system used for Column C5. Table 2. Ductility Analysis of Test Specimens Yield
Failure Displacement
specimenDisplacement
Ductility Factor
Energy Index
A, (mm)
A, (mm)
CI
2.85
6.75
2.36
8.9
c2
4.40
31.91
7.25
204.7
c3
3.94
18.91
4.78
66.5
c4
4.10
26.42
6.44
122.9
c5
4.85
25.80
5.31
114.7
-40
+C1
-30
-20
-10 0 10 Lateral displacement (mm)
Control C5 one sheet with steel plates c2 double wrraping
+
Af’AY
-A-
20
30
40
C3 with one sheet c4 continous wraping
Fig. 12 Hysteresis Loops Envelop of Lateral Load vs. Displacement
Energy Dissipation The dissipated energy was computed for each cycle as the area enclosed by the lateral load-displacement hysteresis loop for the given cycle. The
RC Columns Retrofitted by FRP under Cyclic Loads 671
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accumulated dissipated energy is plotted against the lateral displacement for the tested specimens in Fig. 13. A non-dimensional energy index based on Ehsani' was also used to evaluate the energy dissipated for the specimens. The index accounts for the cracked stiffness, yield load and displacement, as well as the dissipated energy of each cycle. This energy index is expressed as follows: I,
=
(24( W K J *(&'Ay) Z)4Py*AJ
(2)
where Ei is the dissipated energy at cycle (i); Ki, K, are the stiffness at cycle (i) and at yield, respectively; Ai is the average of maximum compression and tension displacements at cycle (i); and Ay, P, are the yield displacement and load, respectively. Specimen C2 possessed significantly larger energy dissipation than other columns as it had the largest index of 204. Column C3 had the lowest index of 66. The energy index of C4 and C5 were 123 and 1 14. Stiffness Analysis
The cracked stiffness of each tested specimen, Kj, is calculated for every loading cycle. The cracked cycle stiffness is computed as the ratio of the sum of the peak tension and compression loads to the sum of the corresponding tension and compression displacements. The cracked cycle stiffness is plotted against the lateral displacement to represent the stiffness degradation due to cyclic loading in Fig. 14.
s
0
10 20 Meral d i s p l m (m)
Fig. 13 Accumulated energy
30
0
10 20 30 Lateral d i s p l m (m)
Fig. 14 Stiffness degradation
It can be seen that the initial stiffness of all columns including the control one was approximately the same. This suggests that the strengthened columns will not attract more horizontal force due to seismic loading. At
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672 FRPRCS-6: Externally Bonded Reinforcement for Confinement
high load levels, the retrofitted columns showed higher stiffness than that of the control column. The rate of stiffness deterioration of the retrofitted columns under large reversed cyclic loading was less than that of the control column.
CONCLUSION CFRP wraps showed an excellent enhancement to the overall behavior of the strengthed columns. Conclusions are summarized as follows: 1. All the wrapped specimens failed in a ductile flexural mode instead of the brittle shear mode of the original column. 2. Increasing the CFRP volumetric ratio improved the overall behavior of the column. However, it is recommended to increase the number of CFRP layers instead of reducing the spacing between the layers. 3. A proper choice of the anchorage system may be more feasible than reducing the spacing between sheets. However, savings allowed by the anchorages should be assessed considering that the installation diminishes the ease and speed of application. 4. Unlike the conventional techniques for strengthening, the initial stiffness of the retrofitted columns was similar to that of the original one.
REFERENCES
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1. ACI 440.2R-02, Emerging Technology Series, “Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete Structures”, October 2002,45p. 2. Hosny A., Shaheen H., Abdelrahman A., and El-Afandy T. “Strengthening of Rectangular RC Columns Using CFRP”, MESC-3, Aswan, Egypt, December 2002. 3. Park R., and Paulay T. “Reinforced Concrete Structures”, John Wiely and Sons, New York, N.Y., 1975. 4. Priestly M., and Park R. “Strength and Ductility of Bridge Columns under Seismic Loading”, ACI Structural Journal, V84, No. 1, 1986. 5. Ehsani M., and Wieght J. “Confinement Steel Requirements for Connections in Frames”, ASCE Structural Journal, V116, No.3, 1990.
FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan OWorld Scientific Publishing Company
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PHOTOGRAMMETRICALLY MEASURED DEFORMATIONS OF FRP WRAPPED LOW STRENGTH CONCRETE A. ILKI, V. KOC, B. ERGUN, M.O. ALTAN AND N. KUMBASAR Department of Civil Engineering, Istanbul Technical University Maslak, 80626, Istanbul, Turkey
In this study, 8 specimens with square cross-section were tested under compression. The specimen dimensions were 250x250~500mm. The test program included unconfined specimens as well as specimens jacketed by 1, 3 and 5 plies of carbon fiber reinforced polymer (CFRP) sheets. The unconfined concrete compressive strength was less than 10 MPa for all specimens. Photogrammetric measurements were carried out as well as usual measurement techniques to determine the axial and lateral deformations of the specimens. With the help of photogrammetric techniques, more detailed information was collected about the deformation pattern that led to better understanding of the behavior. The performance of low strength concrete members jacketed by different thicknesses of CFRP sheets are discussed with a special emphasis on the distribution of deformations of the specimens. The effectiveness of the CFRP jackets increased significantly due to deformation characteristics of unconfined concrete with low compression strength. Very significant enhancement was obtained for compressive strength and deformability of CFRP jacketed specimens that resulted with tremendous increase in energy dissipation.
INTRODUCTION
FRP reinforcement has several advantages like its durability, electromagnetic neutrality, high strength, light weight and ease in application. Consequently, the use of FRP reinforcement in civil engineering structures has been increasing rapidly in recent years. According to Fukuyama and Sugano', the repair and seismic strengthening by continuous fiber sheet wrapping method was first developed in Japan, where research was first carried out in 1979. They presented an outline of the continuous fiber wrapping technique by comparing experimental data obtained for various rehabilitation techniques with a special emphasis on performance based engineering and effective rehabilitation techniques without hindrance of building operation. Guadagnini et a1.* reported an overview on the European Research on FRPs and their applications.
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674 FRPRCS-6: Externally Bonded Reinforcement for Confinement
Karbhari and Gao3, Toutanji4, Xiao and Wu5, and Ilki and Kumbasar6 developed experimental data for cylinder specimens, based on a variety of fiber types, orientations and jacket thicknesses. Rochette and Labossiere7, Wang and Restrepo8 , and Ilki and Kumbasar’’conducted axial loading tests on FRP jacketed specimens with square and rectangular cross-section. All of the experimental work was carried out on normal or high strength FRP jacketed concrete specimens. However, there are many existing structures, those were not built considering the up-to-date codes and recommendations. Consequently, these structures may experience severe damages due to insufficient ductility and low concrete compressive strength during earthquakes. Therefore, there is a need of research on the behavior of low strength concrete jacketed by FRP. In this study, 8 specimens of low strength concrete with square crosssection were tested under concentric compression. The standard concrete cylinder compressive strength was 6.2 MPa for all specimens. The specimens were either unconfined or jacketed by 1, 3 or 5 plies of CFRP in sets of two. Experimental results showed that the efficiency of the CFRP jackets on strength and ductility enhancement of low strength concrete is higher than that of normal or high strength concrete. Consequently, equivalent ductility or strength enhancement can be obtained with relatively smaller jacket thicknesses resulting with more economical solutions. The experimental results on similar specimens that have higher concrete compressive strength can be found elsewhere’. Photogrammetric deformation measurements were carried out as well as conventional deformation and displacement measurements done by using strain gages and displacement transducers. With the help of the photogrammetric measurements, deformation characteristics of the specimens could be analysed in more detail. When compared to deformation measurements with strain gages, photogrammetric deformation measurements have further advantages like; (a) availability of all surface deformations in three dimensions, (b) comparable precision, (c) lower cost, (d) convenience of test setup installation in a short time, (e) practically no deformation limit. The deformation patterns obtained by photogrammetric measurements are generally in good agreement with the deformations determined by the conventional techniques. Consequently, the photogrammetric measurement technique seems to be promising as an alternative or additional way of deformation measurements.
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Deformations of FRP Wrapped Low Strength Concrete 675 zyxwvut
TEST DETAILS
Specimen Characteristics,Mmaterials,Jacketing Eight specimens were tested under compression. The cross-section of all of the specimens were square (250x250 mm). The height of the specimens was 500 mm. General characteristics of the specimens are presented in Table 1. Concrete compressive strength was aimed to be less than 10 MPa to represent many existing structures with low strength concrete. Specially produced ready mixed concrete is used to obtain homogenous distribution of concrete in all of the specimens. The mix-proportion of ready mixed concrete is given in Table 2. As seen in this table, waterkement ratio of the mixture is 1.27.
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Table 1. Specimen characteristics Specimen LS-S-0-1 and LS-S-0-2 LS-S-1-1 and LS-S-1-2 LS-S-3-1 and LS-S-3-2 LS-S-5-1 and LS-S-5-2
f’c (MPa) 6.2 6.2 6.2 6.2
Dimensions (mm) 250x250~500 250x250~500 250 x 250 x 500 250x250~500
CFRP plies 0 1 3 5
Table 2. Mix-proportion for low strength concrete (kg/m3) Cement 150
Water 191
Sand 932
Gravel 1074
Total 2347
After waiting for about 28 days and rounding the corners of the specimens to radius of 40 mm, the specimens were jacketed by 1, 3 and 5 plies of CFRP in sets of two, except two specimens which were tested without external confinement (Figure 1).
Figure 1 . CFRP jacketing procedure
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676 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
The jacketing process included surface preparation, application of primer, putty, epoxy adhesive and wrapping. For jackets of 3 and 5 plies, the CFRP sheets were wrapped continuously and an overlap of 150 mm was formed at the end of the outermost ply. The characteristics of the epoxy system and CFRP sheets used for jacketing are given in Tables 3 and 4, respectively. Table 3. Characteristics ofthe epoxy system
Compressive strength (MPa) 80
Tensile strength (MPa) 50
Tensile elasticity modulus (MPa) 3000
Table 4. CFRP characteristics
Unit weight @g/m? 1820
Effective area Tensile strength Elas. modulus Max. elongation (mm2/mm) (MPa) (GPa) (mm/mm) 0.165 3430 230 0.015
Photogrammetric Measurements Digital photogrammetric systems have been used to solve various measurement problems in industrial applications for many years, since highresolution Charge Couple Devices (CCD) cameras and powerful computer technologies have been available. In this study, close range photogrammetric applications were carried out, where deformation measurement, analysis, and camera calibration are the most important steps. Twin Industrial Basler A302fs cameras with IEEE 1394 standard were calibrated with 16 mm fix focused Cosmicar Pentax lenses on the test setup. Then, the experimental data capturing system was designed in order to capture the images during tests in which about 20 stereo images were captured periodically. The first image pairs were captured before loading and the exterior orientation parameters were calculated. For deformation analysis, camera stations were fixed all through the test duration in order to use the same orientation parameters for other image pairs. The configuration of the signal points on the specimens was designed so that deformations could be determined by the coordinate differences recorded during loading. The derived exterior orientation parameters were obtained with 0.01 mm and the rotations were obtained with 0.001 radian accuracy.
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Loading and conventional data acquisition system A schematical representation of loading and conventional data acquisition system are shown in Figure 2. For loading, a 5000 kN capacity Amsler
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Deformations of FRP Wrapped Low Strength Concrete 677
loading machine, for displacement measurements TML displacement transducers and for deformation measurements TML strain gages were used. The considered gage lengths for displacement transducers and strain gages are 500 and 60 mm, respectively. The axial stresses were determined by dividing applied axial load to the cross-sectional area of the specimen.
n
n
250
*------.,
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Figure 2. Test setup and locations of strain gages TESTRESULTS
Photogrammetrically determined deformations The relative displacements of each point at the junctions of vertical and horizontal lines given in Figure 3 were determined by the photogrammetric method. Consequently, it was possible to calculate the deformations between all of these points.
Figure 3. Points considered during photogrammetric measurements
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678 FRPRCS-6: Externally Bonded Reinforcement for Confinement
The original distances between horizontal lines A and F, B and E, and C and D were 450, 200 and 60 mm respectively. The axial deformations measured between lines A and F on vertical lines 1, 2, 3, 4 and 5 are presented in Figure 4 for the Specimen LS-S-0-2. This shows that, axial deformations were almost identical on each vertical line until peak stress, but then damage is concentrated around certain regions. The axial stressaxial strain relationships for the Specimen LS-$3-2 are given between A and F, and B and E in Figure 5. These show that for jacketed specimens, axial deformations are identical on all vertical lines, both between A and F, and B and E. 10
1
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0,0000 0.0005 0,0010 0.0015 0.0020 0.0025 0.0030 Deformation
Figure 4. Axial strains determined by photogrammetric measurements, between A and F, 450 mm, (LS-S-0-2)
0.00
0.04
0.08
Deformation
0.12
0.16
0.00
0.04
0.08
0.12
0.16
Deformation
Figure 5. Axial strains determined by photogrammetric measurements, between A F (450 mm) and B - E (200 mm), (LS-S-3-2)
The average axial stress-axial strain relationships for Specimen LS-S-3-2 considering the axial deformations between A-F, B-E and C-D are given in different deformation scales in Figure 6. In this figure, it can be seen that, the damage is more concentrated in mid 200 mm height. It should be noted in Figure 6 that, since the signal points were lost due to excessive damage, no photogrammetric data could be obtained behind point X1 in mid 60 mm and behind point X2 in mid 200 rnm.
Deformations of FRP Wrapped Low Strength Concrete 679
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A - F, 450 mm Between 6 - E, 200 mm Between C - D,60 mm
t-
0.04
0.00
0.08
0.12
0.16
0.00
Deformation
0.01 0.02 0.03 0.04 0.05 Deformation
0.06
Figure 6. Average axial strains determined by photogrammetric measurements (LS-s-3-2)
The stress-strain relationships obtained for mid 450, 200 and 60 mm for the Specimen LS-S-5-2 and the appearance of the damaged specimen are presented in Figure 7. The stress-strain curves indicate that, the photogrammetrically determined average axial deformations are highest in mid 60 mm height and lowest in mid 450 mm height, which is also in consensus with the damage pattern of the specimen. However, it should be noted that all three curves are quite close to each other until failure.
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
Deformation
Figure 7. Average axial strains determined by photogrammetric measurements (LS-s-5-2)
The stress-strain relationships obtained photogrammetrically for the Specimens LS-S-0-2, LS-S-1-2, LS-S-3-2 and LS-S-5-2 are presented in Figure 8. As seen in this figure, for CFRP jacketed low strength concrete significant strength and ductility enhancement can be obtained by increasing the jacket thickness.
680 FRPRCS-6: Externally Bonded Reinforcement for Confinement
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0.12
0.08
0.04
0.18
Dsfonnation
Figure 8. Stress-strain relationships determined by photogrammetric deformation measurements (LS-S-5-2, LS-S-3-2, LS-S- 1-2, LS-S-0-2)
Comparison of photogrammetric and conventional measurements To compare of photogrammetric and conventional deformation measurement techniques, the stress-strain relationships determined for Specimens LS-S-5-2 and LS-S-3-2 are presented in Figure 9.
zy zyxwvutsr I , -Conventional.
.,.
+-Photogrammetric. Eelween A - F. 450 mm
.
0.M
0.08
Deformation
0.12
0.18
I I GL-500 mm
-Photoprammetrk.
-Phopnmmalric. Between B . E.200 mm . . . : . . . : . . . : . . , 0.00
,
0.00
0.02
0.04
0.06
Betwaan E . 0.08
I
E.200 mm
0.10
0.12
0.14
Deformstion
Figure 9. Comparison of photogrammetric and conventional measurements
In these figures, conventional deformation measurements were obtained by utilizing the average measurements of four displacement transducers in the gage length of 500 mm, which is the entire height of the specimen. As expected, the highest deformations are obtained for conventional measurement of gage length of 500 mm, which include the deformations of capping mortar. However, it is clear that all three curves represent the behavior realistically. For the comparison of the strain gage measurements in the gage length of 60 mm at mid height of the specimens with the photogrammetric measurements, Figure 10 is presented. As seen, theje measurements are almost the same, with the exception that, strain gages lost their reading capabilities after the axial deformation level of 0.009-0.01 1.
zyx z
zyxw Deformations of FRP Wrapped Low Strength Concrete 681
In Figure 1 1, comparison of transverse deformations is given for specimen LS-S-5-2 between vertical lines 2 and 4 at mid-height and horizontal line A. 25
-
20
5
15
p
10
1
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I
3
5 0
0000
0005
0010
0015
0020
0025
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0010
Deformation
0020
0030 Deformation
0040
0050
Figure 10. Comparison of axial deformations (LS-S-3-2 and LS-S-5-2)
-
. . . . . . . . . . . .~ ~ .~ . ~ ~ ~ ~ ~ ~ ~
-Strain
gagcmid-height
Photogrammeldomid-height
+PhotcgrammBtriotoprection 0.000
0.005
0.010
0.015
0.020
Transverse Deformation
Figure 11. Comparison of transverse deformations (LS-S-3-2)
CONCLUSIONS
Photogrammetric methods can be used for deformation measurements. This may help better understanding of the behavior of the specimens by providing extensive data on all surface deformations. The photogrammetric measurement technique is easy to apply and comparably precise with the conventional measurement techniques. By using photogrammetric measurements, deformations, which are much higher than readability limits of strain gages can be obtained. Significant increase in compressive strength and ductility is obtained when low strength concrete specimens with square cross-section are jacketed by CFRP sheets. An increase in the jacket thickness results with an increase in strength and ductility. The enhancement in strength and ductility is more pronounced for jacketed low strength concrete, with respect to normal or high strength concrete. It should be noted that validity of the test results is limited in the ranges of variables considered in this study.
682 FRPRCS-6: Externally Bonded Reinforcementfor Confinement
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ACKNOWLEDGMENTS
The financial support of Turkish Earthquake Foundation (Project : 0 I-AP1 IS), Research Fund of Istanbul Technical University (Project : 1607), and Yapkim Construction Chemicals Company, and the assistance of our students Mr. C. Demir and A. Karadeniz are acknowledged. REFERENCES 1. Fukuyama, H. and Sugano, S., “Japanese Seismic Rehabilitation of
2.
3. 4.
5.
6. 7.
8. 9.
Concrete Buildings after the Hyogoken-Nanbu Earthquake”, Cement and Concrete Composites, 22,2000, pp. 59-79. Guadagnini, M., Pilakoutas, K. and Waldron, P., “An Overview of the European research on FRPs and their applications”, Znt. Con$ on FRP Cornp. in Civ. Eng., Hong Kong, Dec. 12-15, 2001, Vol. 2, pp. 16991706. Karbhari, V.M. and Gao, Y., “Composite jacketed concrete under uniaxial compression-verification of simple design equations”, ASCE Journal of Materials in Civil Engineering, 9(4), 1997, pp. 185-193. Toutanji, H.A., “Stress-strain characteristics of concrete columns externally confined with advanced fiber composite sheets”, ACI Materials Journal, 96(3), 1999, pp. 397-404. Xiao, Y., and Wu, H., “Compressive behavior of concrete confined by carbon fiber composite jackets”, ASCE Journal of Materials in Civil Engineering, 12(2), 2000, pp. 139-146. Ilki, A. and Kumbasar, N., “Behavior of damaged and undamaged concrete strengthened by carbon fiber composite sheets ”, Structural Engineering and Mechanics, 13(I), 2002, pp. 75-90. Rochette, P. and Labossiere, P., “Axial testing of rectangular column models confined with composites”, ASCE Journal of Composites for Construction, 4(3), 2000, pp. 129-136. Wang, Y .C. and Restrepo, J.I., “Investigation of concentrically loaded reinforced concrete columns confined with glass fiber-reinforced polymer jackets”, ACZStructural Journal, 98(3), 2001, pp. 377-385. Ilki, A. and Kumbasar, N., “Compressive behavior of carbon fiber composite jacketed concrete with circular and non-circular crosssections”, accepted to be published in Journal of Earthquake Engineering.
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FRP Structural Shapes
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan OWorld Scientific Publishing Company
RECTANGULAR FRP TUBES FILLED WITH CONCRETE FOR BEAM AND COLUMN APPLICATIONS
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A. Z. FAM Department of Civil Engineering, Queen’s Universiw, Kingston, Ontario, k7L 3N6, Canada D. A. SCHNERCH AND S. H. RIZKALLA Civil Engineering Department, North Carolina State Universily, Raleigh, NC, 27695-7533, U.S.A.
This paper introduces an innovative concept of FRPIconcrete hybrid structural member. This concept includes rectangular filament-wound glass fiber reinforced polymer (GFRP) tubes, totally or partially filled with concrete, and used as beams andlor columns. The paper presents the experimental program and results of three beams and five short columns tested with different eccentricities. Two of the beams were completely filled with concrete, while the third beam was partially filled to minimize the self-weight of the beam. This beam had a void within the cross-section, eccentric towards the tension side of the beam such that the remaining concrete was used to resist the internal compression and shear forces. Two of the columns were subject to zero eccentricity and the other three were subjected to various levels of eccentricity to study the combined effect of axial and flexural loading.
INTRODUCTION The application of fiber reinforced polymers (FRP) in new concrete structures started with replacement of steel bars with FRP bars. Although this direct replacement philosophy was suitable at early stages, it does not necessarily utilize the full potential of FRP materials. It is, therefore, believed that FRP could be combined with concrete through more efficient structural concepts. The proposed system in this paper consists of concrete-filled rectangular filament-wound glass-FRP tube with several layers including fibers oriented at f 45 and 90 degrees for shear resistance. The upper and lower flanges of the tube include additional uniaxial roving for flexural rigidity. The tube, which could be totally or partially filled with concrete, acts as lightweight permanent formwork and reinforcement, simultaneously. The concrete provides stability for
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686 FRPRCS-6: FRP Structural Shapes
the tube and compressive resistance. Research has been conducted on concrete-filled circular FRP tubes', however, no research has been reported on optimized concrete-filled rectangular filament wound tubes. Triantafillou and Meier * have studied hybrid rectangular sections with GFRP tubes supporting concrete flange above the section and a layer of carbon-FRP attached to the lower GFRP flange, however, premature failure occurred due to debonding of concrete.
EXPERIMENTAL PROGRAM The objective of the experimental program is to determine the interaction of axial load and flexure behavior for rectangular GFRP concrete-filled tubes as well as to optimize the section by providing a central hole to reduce the self-weight of the beam. In this case, the concrete was cast with a void offset towards the tension side of the shell such that the concrete is optimally used for compression, shear and stability of the webs.
Composite Tubes The GFRP composite shells used in this study were fabricated using a combined filament-winding and hand lay-up technique, where bidirectional glass fiber sheets were inserted into the top and bottom flanges, resulting in two longitudinal (zero degree) layers in both the tension and compression flanges of the rectangular shell. The remaining, non-zero degree laminate, were produced through conventional filament winding techniques. The final stacking sequences for the webs and flanges were [90, 45, -45, 90,45, -45, 901 and [90,45, -45,0, 90, 0,45, 45, 901 respectively. E-glass fibers used for the filament winding process have tensile strength between 1380 and 2070 MPa, and modulus of elasticity of 72.5 GPa. The E-glass fiber sheets used in the hand lay up process have a tensile strength of 798 N/mm in the warp direction and 183 N/mm in the weft direction.
Rectangular FRP Tubes Filled with Concrete 687
Hybrid Beam Specimens The GFRP concrete-filled tubes used for the flexural tests were 2200 mm in length. No reinforcement was provided other than the outer GFRP shell was provided. Two different cross-section sizes were used. The smaller tube, with a height of 271 mm and a larger tube with a height of 374 mm as shown in Figure l(a and b). The flange was thicker due to the addition of two layers of glass fiber sheets oriented in the longitudinal direction of the specimen. A second configuration was produced using the larger sized GFRP tube. In this case a void, offset towards the tension side of the member, was generated to minimize the self-weight of the member and to optimize the use of the concrete as shown in Figure l(c). Concrete was used to carry the compressive and shear forces of the beam, in addition to providing stability for the thin GFRP webs. The cross sectional area of the concrete for the optimized beam was 40% of the totally filled tube. Considering the weight of the tube, the optimized beam has 44% of the weight of the totally filled tube.
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Short Column Specimens The axial specimens tested were the same size as the small specimen used in the flexural tests, as shown in Figure l(a). However, the length of the axial specimens was reduced to 680 mm, such that the length of the column was 2.5 times its width. In total, five compression specimens were fabricated. Three of these specimens were in their original state when tested and two were obtained from the shear spans of the flexural test of the small GFRP beam, far from the failure region.
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p 9 rnm
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Figure 1 Cross-section configurations of test specimens
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688 FRPRCS-6: FRP Structural Shapes
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Fabrication of Test Specimens
In order to enhance the bond between the GFRP tubes and the concrete fill, the inner surface of the GFRP tubes was coated with a layer of epoxy. A thin layer of coarse silica sand was then applied on the tacky epoxy in order to provide a rough texture. For the partially filled tube, which has a void inside the concrete core, a Styrofoam prism of the same size as the inner void was fabricated and inserted inside the tube. Later, after hardening of concrete, the Styrofoam core was removed. In order to facilitate casting concrete, the tubes were braced in a vertical position to a structural wall as shown in Figure 2(a), and were filled with 53 MPa concrete from the top end. Vibration of concrete was applied during the gradual filling of the tubes. Once the specimens had cured, the Styrofoam core was removed, leaving the void. The cross-section of the optimized GFRP beam is shown in Figure 2(b). In order to prevent crippling of the thin web of the optimized beam above the supports, Concrete end blocks were cast, filling in the void over a length of 375 mm from each end.
(a) Setup used for casting the concrete into the tubes (b) Optimized beam Figure 2 Fabrication of test specimens
Test Setup and Instrumentation of Beam Specimens The three beam specimens were tested using four-point bending as shown in Figure 3. The span of the beams was 2100 mm and the distance between the loads was 300 mm. The beams were loaded using displacement control with a 500 kN capacity hydraulic actuator using displacement rate of 0.50 mdmin. The specimens were instrumented to record load, deflection and strain measurements. Longitudinal strains at midspan were measured using strain gauge type displacement transducers and electrical foil gauges attached directly to the GFRP
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Rectangular FRP Tubes Filled with Concrete 689
surface at different levels along the depth of the beam. Transverse strains were also measured in the compression zone using foil strain gauges. Two displacement potentiometers were used to measure the midspan deflection and another was used to measure the support settlement. Digital displacement gauges and potentiometers were also used to measure the slip between the concrete core and the GFRP tube on the tension side at both ends.
Test Setup and Instrumentation of Short Column Specimens
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Figure 3 Test setup and instrumentation Figure 4 Test setup and instrumentation of test beams of short columns
Compression specimens were subjected to concentric and eccentric axial loads applied at various eccentricities using a 9000 kN capacity testing machine as shown in Figure 4. The eccentricities considered were 0, 25 mm, 50 mm and 64 mm using a setup with free rotation allowed at the ends. Another concentric test was conducted on a specimen between fixed platens, without allowing end rotation. All specimens tested were 680 mm in length. A thin layer of gypsum plaster was used to distribute the load from the steel plates to the specimens. Specimens were loaded under stroke control at a displacement rate of 0.165 mdmin. Load, deflection and strain measurements were taken for the compression specimens. Strain was measured in the axial direction at opposite faces using electrical foil gauges and strain gauge type displacement transducers with a gauge length of 200 mm. Foil strain gauges were also used in the transverse direction to measure the transverse strains.
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690 FRPRCS-6: FRP Structural Shapes
RESULTS OF THE EXPERIMENTAL PROGRAM Beam Specimens The load-deflection behaviours of the totally-filled small and large beams as well as the partially-filled beam are shown in Figure 5. The figure shows that the totally-filled beam and the partially-filled beam had similar flexural stiffness. This behaviour indicates that the size of the concrete in the compression zone of the optimized beam was quite efficient. The depth of concrete in the compression zone was determined based on location of the neutral axis using strain compatibility analysis of a totally-filled tube and the partially-filled beam was designed to eliminate the concrete below the neutral axis. The flexural strength of the optimized beam was however lower than that of the totally-filled beam by about 22 %. This is attributed to the different failure modes as will be discussed. The load-axial strain behaviour at the extreme tension and compression sides of the three beams is given in Figure 6. The behavior of the totally-filled large beam is very similar to that of the partiallyfilled beam. The small GFRP beam had the largest value of compressive strain, -0.0088. Both the totally-filled large beam and partially-filled beam had lower maximum compressive strains of -0.0049 before strain reversals occurred due to buckling of the GFRP, resulting in local bending stresses in the compression flange. Buckling resulted in debonding from the concrete and not only reduced the effectiveness of the compression flange in carrying compression force, but also eliminated any concrete confinement effect. Maximum tensile strains of 0.0267 are similar for the small beam and for the large beam where rupture of the GFRP tension flange was the cause of failure. The partially-filled beam, which failed due to compression failure, had a maximum tensile strain of only 0.0213. Hoop strains measured at midspan in the constant moment region indicate significant hoop stresses are developed during loading. Figure 7 shows the hoop strains for the totally-filled large beam and the partiallyfilled beam. It should be noted that the hoop strains are a result of the Poisson’s ratio effect of the tube, the confinement effect of concrete and the flange buckling. If all the strain were attributed to the buckling, it would be expected that the hoop strains would be very low initially, followed by a sudden increase when buckling occurred at the late stages of loading. This is true for the partially-filled beam, where confinement
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Rectangular FRP Tubes Filled with Concrete 691
was expected to be insignificant due to the void. However, the behaviour and magnitude of the strains is greater for the large totally filled tube, indicating that a portion of the hoop strain may be attributed to confinement. The maximum slip measured between the concrete core and GFRP tube at the ends of the beams were 0.18,2.5 and 0.01 mm for the small beam, the totally-filled large beam and the partially-filled beam respectively. Test results indicate that the partially-filled beam could provide an optimized section considering the significant reduction of weight and cost of the materials. 700
6500
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O
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mall beam (Totally-filled)
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Longitudinal Strain (6)
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Figure 6 Load-axial strain behavior
Figure 5 Load-deflection behavior 700 600
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Figure 7 Load-lateral strain behavior at compression zone
Short Column Specimens For the two tests with zero eccentricity the load versus axial and hoop strains is shown in Figure 8. The hoop strains in each case were measured at midheight on one of the shorter sides of the rectangular tube. A higher ultimate load was achieved with the complete contact of
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692 FRPRCS-6: FRP Structural Shapes
the cross-section with the loading plates, although with much less ductility than the pin ended condition. This is attributed to a localized premature failure in the pin-ended specimen. For the three compression specimens that were loaded eccentrically, the longitudinal strains at the extreme fibers were measured and shown in Figure 9. Towards the loaded side, strains were compressive. On other side of the specimen, strains were either compressive or tensile depending on the level of loading and the amount of eccentricity. Hoop strains were measured in more details for the pin-ended concentrically loaded column. One quarter of the circumference of the specimen was instrumented with strain gauges at mid-height as shown in Figure 10. The behavior can be categorized into three phases. Very little hoop strain, less than 0.0005, is recorded until about 1200 kN. From 1250 kN to 1550 kN, the highest strains are near the middle of the longer side and at the corner. Strains are highest near the middle of the longer side due to the outward bulging of the initially straight side due to expansion of the concrete core, resulting in bending in the plate. The strain is also high at the corner due to stress concentration. In the third
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,-.
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'0
g
U
9
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0 -12.0
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-8.0
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Axial Strain (ins)
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Figure 9 Load-strain behavior of columns Figure 8 Load-strain behavior of loaded with different eccentricities columns loaded with zero eccentricity
phase, from 1550 kN until failure the highest strains are at the center of the long and short sides due to the flexural strains induced by the internal expansion of the concrete and corresponding bulging of the sides of the rectangular tube. Based on the beam and column tests of the small concrete-filled tubes, a number of points on the axial load - bending moment interaction diagram have been established as shown in Figure 11.
Rectangular FRP Tubes Filled with Concrete 693
Failure Modes
The totally-filled beams failed by rupture of the GFRP on the tension side. Rupture immediately progressed up the web as shown in Figure 12(a). The partially-filled beam failed by inward buckling of the concrete compression flange.
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Figure 10 Variation of hoop strains on one quarter of the concentrically loaded specimer
2000
h
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0
m
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800
zyxwvut i *.i
400 0
Localized failure at one end
e=m
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50
100
I50
200
250
300
Moment (kNm)
Figure 11 Axial load-bending moment interaction diagram of small specimens
The short column with complete surface contact with the loading plates and zero eccentricity as well as the one loaded with 64 mm eccentricity failed by rupture of the fibers along the corner of the tube, initiated at one end of the specimen and progressed towards the other end as shown in Figure 12(b). The pin-ended specimen with zero eccentricity and the one with 50 mm eccentricity failed by local shearing of one corner as shown in Figure 12(c). The specimen with 25 mm eccentricity failed by crushing of the tube at midheight, accompanied by fracture of the fibers in the hoop direction as shown in Figure 12(d).
694 FRPRCS-6: FRP Structural Shapes zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPON
CONCLUSIONS
(a)
Large totally-filled
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(c) e = 0 (Pinned)
(d) e = 25 mm
Figure 12 Failure modes of beam and column specimens
A FRP/concrete hybrid concept has been introduced. A rectangular GFRP thin tube can be totally-filled or partially-filled with concrete to optimize the concrete within the cross-section. Beams and short columns have been tested. The following conclusions are drawn: (a) The partially-filled beam showed similar stiffness to the totallyfilled beam but lower flexural strength due to the different failure mode. (b) Totally-filled beam failed by fracture of GFRP tube in tension. Partially-filled beam failed by inward local buckling of the concrete flange. (c) In short columns, higher hoop strains are developed in the middle of the straight sides of the rectangular tube than at the rounded corners due to local bending of the GFRP tube as a result of the bulging concrete core. zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGF
REFERENCES
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1. Fam, A. Z. and Rizkalla, S. H., “Flexural Behavior of Concrete-Filled Fiber-Reinforced Polymer Circular Tubes”, ASCE Journal of Compositesfor Construction, Vol. 6, May 2002, pp.123-132. 2. Triantafillou, T. C. and Meier, U. “Innovative Design of FRP Combined with Concrete,” Proceeding of the Is‘ International Conference on Advanced Composite Materials for Bridges and Structures (ACMBS), Sherbrooke, Quebec, 1992. pp. 49 1-499.
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FRPRCS-6, Singapore, 8-1 0 July 2003 Edited by Kiang Hwee Tan @WorldScientific Publishing Company
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FLEXURAL BEHAVIOUR OF GFRP-POLYMER CONCRETE HYBRID STRUCTURAL SYSTEMS M. C. S. RIBEIRO, A. J. M. FERREIRA AND A. T. MARQUES INEGI, Faculdade de Engenharia da Universidade do Port0 Rua do Barroco, 174-214, 4465-591, Leqa do Balio, Portugal
In this paper, the development of a research work undertaken in hybrid structural systems, where GFRP pultruded profiles are assembled, in an innovative way, with a layer of polymer concrete is reported. Several beams, with three different hybrid designs, were tested in four-point bending and the flexural behaviour of such structures was analyzed. Model designs produced a highly optimized flexural behaviour, with a pronounced synergetic effect. A new finite element model for GFRP-polymer concrete hybrid beams was also developed. Due to non-linearity of polymer concrete and the need to account for interaction aspects, a geometric and material nonlinear analysis was performed. A thick shell element was considered, incorporating a layered approach for laminated composite modeling.
INTRODUCTION
FRP-Polymer Concrete Hybrid Systems In the last years, an innovative structural concept was developed involving the combination of FRP pultruded profiles with conventional cement concrete, to produce lightweight, corrosion-free and yet inexpensive hybrid systems According to this new concept, a FRP profile beam is combined with a concrete layer, cast onto the top flange, which replaces the thick FRP compressive flange of traditional pultruded profiles. The method maximizes system performance using materials by combination, and can be thought as a better way of producing structural members based on pultrusion process. In the last decade, FRP researchers have developed a number of hybrid systems, either by simply replacing steel with FRP pultruded profiles in conventional steel-concrete composite construction, or by developing new structural systems Following these studies, this paper presents the development of a research work undertaken with hybrid structures composed by GFRP profiles and polymer concrete. Polymer concrete is a mixture of mineral aggregates and a polymer binder in which the polymeric resin replaces the
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696 FRPRCS-6: FRP Structural Shapes
Portland cement-water binder of hydraulic concrete. This type of concrete has very high compressive strength, good chemical resistance, and relatively low elasticity modulus 4, Since the ~ O ’ S , when it was initially applied to produce synthetic marble, its applications have increased tremendously, mainly in the field of precast components for building industry 62 Exploiting the better performances of resin concretes, it is believed that the potential of the hybrid systems can be improved: (a) The higher compressive and flexural strength of polymer concrete allow a cross-section reduction and, therefore, a lightweight beam; (b) The better chemical resistance enlarges the application field of these structural systems to highly corrosive environments; (c) The faster curing time, early high strength and good workability of resin concrete make it suitable, either for production of precast components, or for an easier in site application. In a previous investigation work small-scale models of four different hybrid beams were designed, manufactured and tested in four-point bending. Flexural behaviour of such composite structures, in terms of loaddeflection history, load capacity and failure mode was analyzed and compared with the flexural behaviour of its material constituents. The four hybrid beams models were designed considering a GFRP pultrusion profile that works in tension, and an epoxy polymer concrete filling, that works mainly in compression. Experimental results indicated the high potential of these hybrid systems, revealing a pronounced synergetic effect associated to the assembly of polymer concrete and GFRP profiles. However, some technical problems were detected. Interface debonding promoted premature failure, hindering the maximum of load bearing capacity to be reached. Further studies were necessary in order to improve bond strength between polymer concrete and GFRP profiles. In this paper, some new experiments done on GFRP-polymer concrete hybrid beams, with improved adherence between material components is reported. Three new series of small-scale hybrid beam specimens were manufactured and tested in bending. A special treatment was given to GFRP profile internal surfaces to promote the adhesion to epoxy polymer concrete. A significant improvement in the flexural performance of the hybrid beams was reached.
’.
’.
’,
Numerical Modelling Past studies showed that cracking, deflection and ultimate load behaviour of FRP-reinforced concrete beams could be predicted with the same degree of accuracy as the behaviour of regular steel reinforced concrete beams, and
GFRP-Polymer Concrete Hybrid Structural Systems 697
that a theoretical correlation is therefore possible9. Theriault and Benmoluane" proposed alternative formulas for the prediction of deflection. They concluded that usual formulas for such predictions were misleading. Most of these previous studies are related to concrete beams. Very few studies of FRP reinforced plates or shells have been proposed, if any. The present work reports a numerical model for the analysis of concrete arbitrary shell structures reinforced with composite materials, particularly with FRP pultruded materials. The proposed model is capable of predicting deflections and stresses in concrete and in FRP reinforcement, considering geometrical and material non-linear behaviour. It includes constitutive laws for concrete material, based on smeared crack concepts and is applicable for high-strength composite materials. The model is implemented in a degenerated shell element as proposed by Ahmad et al.'', Owen and Figueiras12, and more recently by Ferreira and B a r b ~ s a ' ~In. order to check the model capacities, it was applied to predict the flexural behaviour of GFRP-polymer concrete hybrid beams. A good agreement between experimental and numerical results was found. The tests were only performed in beams, but the model is generally applicable to plates or shells of arbitrary shape.
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EXPERIMENTAL PROGRAM
Component Materials
Low viscosity epoxy resin, and foundry sand with a very uniform and fine grain (d5,, of 342 microns) were used for the polymer concrete mixture. Resin content, without charge, was 20% in weight. This formulation corresponds to an optimized result from previous research 14, and its mechanical properties are already known. Compressive strength and compressive elasticity modulus are 82 MPa and 1 1.5 GPa, respectively; with ultimate strain defined to be equal to 0.01. Compression properties were obtained from uniaxial testing according to RILEM TC-113 standards. Three types of standard U-shaped GFRP pultruded profiles were used. The pultrusion profiles consisted of continuous strand mat and roving of glass fibers, impregnated with unsaturated polyester resin and having an external veil pulled through a die. Volume content of glass fibers was between 50% to d55%, and roving occupied the most part of it. The GFRP profiles cross-section dimensions and mechanical properties, obtained from 52
698 FRPRCS-6: FRP Structural Shapes
uniaxial tension tests according ISO-527/4 standard, are summarized in Table 1.
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Table 1. Dimensions and mechanical properties of GFRP profiles
GFRP
Tensile Strength (MP4 Profile A 395 Profile B 3 10 Profile C 350
Tensile Elasticity Modulus (GPa) 25.1 25.3 25.6
Cross Section (mm) 55 * 60 * 5 30 * 40 * 4 50 * 40 * 5
Hybrid Beams: Design and Manufacturing
Among the four models of hybrid beams initially designed, only three models, - those that showed better flexural performance in first test series-, were chosen for this experimental program. Cross-sections of the three models, hereinafter referred as HB I, HI3 I1 and HB 111, are illustrated in Figure 1, All the small-scale models were 600 mm in length.
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Figure 1. Small scale models of GFRP-polymer concrete hybrid beams analyzed.
HB I and HB I11 beams have all the section full of concrete, with the profiles behaving, simultaneously, as reinforcement and as permanent formwork. HB I1 type beam is lighter, with only a thin layer of concrete positioned in the upper part of the profile. Cross-section of concrete layer, in this model, was designed in order to support only compressive stresses in the elastic range. Neutral axis was determined through the homogenization of the hybrid cross-section on GFRP material. In order to prevent premature failure due to interface debonding, adherence between GFRP profiles and polymer concrete was improved
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GFRP-Polymer Concrete Hybrid Structural Systems 699
through both mechanical and chemical processes. Internal surfaces of GFRP profiles were previously sandpapered, and a layer of silane adhesion promoter was applied before concrete casting. In addition, in HB I1 specimens, profile ‘B’ was bonded to profile ‘A’ with a special epoxy adhesive. In the first specimen series, the resin of concrete that drained during casting process assured junction between these two profiles. For each hybrid model, three specimens were manufactured. All specimens, before being tested, were allowed to cure for seven days at room temperature, and post-cured at 80°C during 3 hours. Testing Procedure
Four-point bending tests on three specimens of each type of hybrid beams were performed. The specimens were loaded over a span of 510 mm and with constant moment zone of 100 mm. Load was gradually increased up to failure at the rate of I d m i n u t e (displacement control mode). Test procedures were identical to those applied to perform flexural tests of first series of GFRP-polymer concrete hybrid beams. In order to evaluate the synergetic effect of the assembly, four-point bending tests were also performed on each constituent material of each type of hybrid beam. NUMERIC MODEL: ASSUMPTIONS AND IMPLEMENTATION The model is based on a dual criterion for polymer concrete. Crushing and cracking of concrete is considered by modification of the material stiffness and strength. Also, composite materials are modeled with a layered approach. Each material layer is considered to be orthotropic. Elastoplasticity of the material can be used, if necessary. The approach used for these hybrid beams relies on a homogenization procedure of the distinct zones of their cross-sections, both for stiffness and strength. In Figure 2, these zones are identified. is
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Figure 2. Layered system used for finite element approach.
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700 FRPRCS-6: FRP Structural Shapes
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In Zone 1, the equivalent material is considered to be a composite laminate only. Therefore, a typical FRP material formulation is considered 13, 15
In Zone 2, FRP walls are taken in account. Due to the shell formulation, an equivalent material in stiffness and strength is considered. In Zone 3, a combination of FRP and polymer concrete occurs. In this case, it is assumed that no contribution is given by FRP walls to support compressive solicitations. Therefore, compressive strength of the assembly layer is the compressive strength of the concrete, while tensile strength and elasticity modulus follows a law of mixtures:
where A'', AFP = stength or stiffness, of polymer concrete and FRP material, respectively; Aey = equivalent strength or stiffness of the layer; fc,AFRp = thickness of polymer concrete and FRP material in the layer, respectively; and /IToT = total thickness of the layer. EXPERIMENTAL VERSUS NUMERICAL RESULTS
For each type of beam, the average maximum load capacity and the related synergetic effects are summarized in Table 2. Synergetic effect was calculated by dividing the capacity load of the assembly by the sum of capacity load of each of its two elements. In order to evaluate the improvement of flexural strength reached through profiles surface treatment, experimental results obtained in first specimen series are also presented. Table 2. Summarized flexural tests results
Hybrid Max. Capacity Load (kN) Beam T Y P ~ I" Series T dSeries 38.07 46.30 HBI 43.09 HB II 26.96 32.96 HB 111 32.06
Synergetic Effect (%) I" Series 2ndSeries 233 284 203 3 19 258 266
Load deflection curves, obtained from both lst and 2"d test series of composite beams and correspondent components, are illustrated in Figure 3. Numerical results obtained by finite element modeling are also plotted.
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Figure 3. Numerical versus experimental load-deflections curves obtained from 1'' and 2"dtest series of hybrid beams, and correspondent components (GFRP and PC).
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702 FRPRCS-6: FRP Structural Shapes
Except for HBIII type beams, a significant increase in load bearing capacity occurred for the 2ndseries of hybrid beams tested. Failure modes were also distinct. HBI and HBII type beams, which failed prematurely at the first series due to interface debonding, collapsed in the second series due to GFRP webs shear fracture, as shown in Figure 4. For HB I type beams, an explosive rupture of concrete occurred as a result of shear crack propagation and consequent gradual loss of cohesion between components. Collapse of HB I1 beams was less brittle due to slower crack propagation, thus giving some warning of eminent collapse.
Figure 4. Typical failure modes of GFRP-polymer concrete hybrid beams: lst and Ydtest series.
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Type I11 beams, in the same way that occurred for the first series, failed due to tensile failure of lower surface of GFRP profile, followed by rupture of concrete. Cross-section of profile C is slightly narrower at the top, which made the slip of concrete more difficult. This fact explains why the improvement of bond, between concrete and GFRP profile on 2ndspecimen series, had no significant effect on its flexural performance.
GFRP-Polymer Concrete Hybrid Structural Systems 703
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Numerical results agree quite well with experimental results, according to the modeling hypothesis. At this stage, the model can already predict the load-displacement curves with reasonable accuracy. Although predicted initial stiffness and failure loads are reasonably modeled, the model has still to be improved to account for web shear failure and other failure mechanisms. CONCLUSIONS
Hybrid rectangular beams were designed, manufactured and tested. The assembly allows for a critical combination of polymer concrete and composite pultruded materials. A better flexural performance was reached with improved interface bonding between material components. This innovative design produces highly optimized behaviour with a pronounced synergetic effect. The highest strength to weight ratio and the highest synergetic effect associated to HI3 I1 beams, due to a more precise placement of material in stress zones, make this design model very promising for further investigations on large scale GFRP-polymer concrete hybrid beams. The numerical model used for flexural behaviour analysis of hybrid systems was implemented in a finite element code. The model predicts with very reasonable accuracy the load-displacement curves for all tested type beams. This model is still in progress. The results so far allow for a very interesting expectation in terms of a finite element code for the analysis of this kind of hybrid systems. ACKNOWLEDGMENTS
The support of Fundagilo para a CiCncia e Tecnologia under POCTVEME/42820/200 1, ‘Desenvolvimento de estruturas hibridas betilo polimerico/comp6sitos’ is gratefully acknowledged. REFERENCES
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1. Deskovic, N.; Meier, U. and Triantafillou, T., “Innovative design of FRP combined with concrete: Short term behaviour”, Journal of Structural Engineering, July (1995), pp. 1069-1078.
704 FRPRCS-6: FRP Structural Shapes
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2. Hall, J.E. and Mottram, J.T., “Combined FRP reinforcement and permanent formwork for concrete members”, Journal of Composites for Construction, ASCE, 2(2), (1 998), pp.78-86. 3. Mirmiran, A., “Innovative combinations of FRP and traditional materials”, Int. Conference on FRP Composites in Civil Engineering (CICE-2001), Hong Kong, China, December 12-15, 2001, Vol. 11, pp. 1289-1298. 4. Chawalwala, A.J., “Material characteristics of polymer concrete”, M S . Thesis, University of Delaware Center for Composite Materials, 1999. 5. Ribeiro, M.C.S.; Tavares, C.M.L. and Ferreira, A.J.M., “Chemical resistance of epoxy and polyester polymer concrete to acids and salts”, Journal of Polymer Engineering, 22( l), 2002, pp. 27-44. 6. Fowler, D.W., “Polymer in concrete: a vision for the 2lSt century”, Cement & Concrete Composites, 2 I (1999), pp 449-452. 7. Dikeou, J., “Precast polymer concrete in the United States”, 5”’ Int. Congress of Polymers in Concrete, Brighton, England, 1986. 8. Ribeiro, M.C.S., Ferreira, A.J.M. and Marques, A.T., “Static flexural performance of gfrp-polymer concrete hybrid beams”, Int. Conference on FRP Composites in Civil Engineering (CICE-ZOOl), Hong Kong, China, December 12-15,2001, Vol.11, pp. 1355-1362. 9. Saadmatmanesh, H. and Ehsani, M.R., “Fiber composite bar for reinforced concrete construction”, J. Compos. Mat., 25 (2), 1991, pp. 188-203. 10. Theriault, M. and Benmokrane, B., “Effects of FRP reinforcement ratio and concrete strength on flexural behaviour of concrete beams”, Journal of Composites for Construction, 2 (l), 1988, pp.7-16. 11. Ahmad, S., Irons, B. and Zienkiewicz, O.C., “Analysis of thick and thin structures by curved finite elements”, Int. J. Num. Meth.Engng., 2 (1970), pp. 419-451. 12. Owen, D.R.J. and Figueiras, J.A., Ultimate load analysis of reinforced concrete plates and shells, in Finite Element Software for Plates and Shells, E. Hinton and D.R.J. Owen (Eds.), Pineridge Press, 1984. 13. Ferreira, A.J.M. and Barbosa, J.T., “Buckling behaviour of composite shells”, Composite Structures, 50 (2000), pp.93-98. 14. Tavares, C.M.L.; Ribeiro, M.C.S.; Ferreira, A.J.M. and Guedes, R.M., “Creep behaviour of frp-reinforced polymer concrete”, Composite Structures, 57 (2002), pp. 47-5 1. 15. Ferreira, A.J.M.; Camanho, P.P.; Marques, A.T.M. and Fernandes, A.A., “Modelling of concrete beams reinforced with frp re-bars”, Composite structures, 53( l), 200 1, pp. 107-1 16.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Kiang Hwee Tan QWorld Scientific Publishing Company
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A NEW CONCEPT FOR AN FRP PANELIZED RAPID DEPLOYMENT SHELTER
N.M. BRADFORD AND R. SEN University of South Florida, Tampa, FL 33620
In the aftermath of a natural disaster, the aid worker is faced with three immediate tasks (1) provide protection from the environment, (2) provide food and resources for the facilitation of life and (3) provide health services for the treatment and prevention of illness. Each of these tasks depends on emergency shelters that can be rapidly deployed and assembled. This paper describes a new panelized concept for a FRP shelter developed by the University of South Florida as part of a research project sponsored by the Office of Naval Research. The size of the panels, their weight and ease of assembly were key constraints in the development of this concept. More importantly, the assembIed structure had to withstand Category 4 hurricane force winds. The lightweight, high strength and corrosion resistance of FRP makes them ideally suited for emergency structures that have to be rapidly deployed. A novel panelized concept was developed that integrated the connectors in the panels themselves thereby minimizing the need for additional connectors and greatly simplifying construction. This integration made it possible for the assembled structure to resist very high wind uplift forces. The individual panels are less than 0.914m (36”) wide and each section has four trapezoidal boxes that allow units to slide into each other and interlock. The concept is versatile and could be readily adapted for alternative applications such as bridge deck replacement.
INTRODUCTION
The goal of the project was to identify emergency shelters that utilize a “house in a box” concept in which all unassembled components can be packaged in a crate and conveyed to the site for erection by relief workers with minimal skills. The emergency shelter was to be designed to withstand hurricane force winds. Hurricane winds create pockets of wind pressure that can cause individual components to failure or the building to fail at the foundation connections, wall connections and roof connections. Further, the design is subject not only to extreme load conditions, but also non-structural parameters such as erection speed, construction simplicity and cost,
706 FRPRCS-6: FRP Structural Shapes
Structural Performance is not a simple question when it comes to emergency shelters. One must design the components to withstand extreme conditions without failure. Erection Simplicity is assessed by the speed of erection and the skill requirements of the workers. Further complicating the issue are the questions of connection and foundation requirements. The optimal solution involves an integration of several functions into a single component. Cost runs in an inversely proportional relationship to all other issues addressed during the design optimization process. This question can only be circumvented through innovation in either the areas of the materials or construction techniques used during erection. DurabilitylAdaptability addresses the possible long term usage of the final buildings as ‘safe houses’ where primary facilities can be maintained during future disasters. Based on the design issues listed above, it was decided that the optimum solution would address the problem as a material issue and a building component issue. In order to answer both questions, our focus was turned to the use of Fiber Reinforced Polymer materials, which offer design customization for specific applications. This paper presents a brief summary of the development work completed to date. The conceptual basis of the building shelter is discussed and a simple design procedure presented. A brief review of alternative buildings the shelter industry currently offers is also included.
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AVAILABLE SHELTER SYSTEM REVIEW
Subsequent to the detailed industry wide review conducted by the research team, several types of emergency shelters systems were found to provide viable alternatives. Specifically, as a result of our investigation3, it was concluded that the viable emergency shelters fell into three types of construction. (a) Standard Construction - New Materials: These systems emphasize the improved performance gained through the use of new materials. Such materials offer the user improved mechanical properties (on a localized basis), light weight, non-corrosive and non-metallic performance. Further, these systems attempt to use the new materials as direct substitutes for standard components in building systems. An example of this type of construction would be substituting FRP studs in a wood framed stud wall system or the use of styro foam molds in lieu of masonry blocks in a filled masonry wall system. Information was solicited from three manufacturers that fall into this category.
FRP Panelized Rapid Deployment Shelter 707
(b) New Construction - New Materials: These systems develop new construction systems in an attempt to best utilize the performance characteristics of the new materials. Typical examples of this construction consist of the development of panelized wall and roof systems which are fabricated using FRP systems. Information was solicited from six manufacturers in this category. (c) Alternate Systems: These systems within this category constitute a fully alternate system of construction, based on geometry, materials and construction. Typical examples of this construction include monolithic domes and Yurts. Information was solicited from two manufacturers that fall into this category. The existing emergency shelter industry was reviewed for viable candidates. Due to the stringent performance requirements, only eleven existing building systems met project requirements As a result of the existing emergency shelter review, it was concluded that while some systems appear to have met the base criteria of the project, all of the systems investigated exhibit similar weaknesses. Specifically, it was noted that the currently available rapid deployment shelters exhibited the following areas of weakness, (a) Inadequate supporting structural information (limited test data, limited detailed calculations). (b) Inadequate structural capacity of connections. (c) Reliance on supplemental steel systems for member stiffening. (d) Reliance on supplemental steel systems for connections. (e) No building system components currently being manufactured. Further, it was concluded that all of the systems are designed as one time usage buildings, since disassembly would constitute a significant amount of work and possible member damage. It was also noted that all of the systems emphasize localized member performance issues of bending and shear, while failing to fully develop the global issues of member connections and systemic performance under load.
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SHELTER DESIGN - CONCEPTUAL OPTIMIZATION A multitude of structures have been developed and fabricated by the emergency shelter industry. Their geometry range from cubicle shaped boxes to monolithic dome type structures. In order to develop an optimal geometric shape for use in this project, special attention was paid to the needs of the end user. These were classified as:
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(a) Structural Performance: Of primary concern is the capability of the structure to withstand hurricane force winds. (b) Anchorage Performance: Due to the wide variety of usage proposed for the emergency shelter, adequate foundation anchorage is required for a multitude of ground soil conditions. (c) Construction Simplicity: The emergency shelter should be simple to construct, both in terms of the constituent construction components and the technical skills of the laborers. (d) Geometric Adaptability: The emergency shelter must fit into a pod-like system of urban design. Specifically, the end user should be able to add or subtract shelter units to "build" configurations to suit specific usage needs. Initial Geometry Analysis An initial geometry based on previous shelters developed by the military was selected as a starting point for the emergency shelter. This geometry corresponded to a rectangular box shape, 7.32m x 10.97m x 2.44m (24'- 0" x 36'- 0" x 8'- 0") in shape, with a single roof ridge line and gable ends in the shorter 7.32m (24'- 0") dimension. A preliminary structural analysis of the building exposed to the design wind design pressures indicated that very large force concentrations occurred at the corners of the building and at the transition between the roof and wall members. Due to the magnitude of these forces, it was concluded that the building geometry needed to be revised. Development of Revised Geometry
In order to restrict the force concentrations to acceptable limits, the base geometry of the building was reduced to a 3.66m x 7.32m x 2.44m (12'- 0"x 24'- 0"x 8'- 0") box shape. A preliminary structural analysis of the reduced geometry showed that the force concentrations were reduced by a factor of three. Further, the reduced geometry provides for a usable area of 26.76m2 (288 ft'). This reduced footprint area allows for a greater variety of uses. Specifically, this area is more acceptable for usage as sleeping area, office space, storage area or medical facility.
FRP Panelized Rapid Deployment Shelter 709
Development of Roof Geometry The initial roof geometry called for a gable end roof system. This system was found to be unacceptable due to the inherent structural weakness that occurs at the gable end wall connections. This weakness results in the development of a hinge joint failure in the gable end wall during high wind events. A double hipped roof configuration was investigated as a first alternative roof system. While this roof configuration provides for adequate structural bracing at all wall roof transition points, it was concluded that the complexity of this construction prohibits its selection for use in a rapidly deployed emergency shelter where simplicity of the building construction is crucial to success. The geometry of the roof system is crucial to structural performance since it directly affects the magnitude and application of wind load forces'. Further, the roof system geometry affects erection speed and construction complexity. Roof optimization led to the selection of a low rise mono sloped roof configuration. This roof configuration has several positive aspects. Specifically, a mono sloped roof system provides structural stability at all roof wall transition points. A mono sloped roof is simple to constructed, requiring one basic structural component (plank member). Additional positive aspects of the mono sloped roof 'system include the ability to use the same members as used in the wall system, and the ability to align adjacent shelter units so as to create a variety of roof configurations (Fig. 1).
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Figure 1 Resultant Wind Design Pressures on Emergency Shelte
710 FRPRCS-6: FRP Structural Shapes
Door and Window Locations The initial design of the shelter utilized a variety of door and window sizes, placed in all elevations of the building. For the purpose of adaptability and simplicity, it was concluded that all door and window sizes should use the same opening size. It was concluded that openings should not be installed in either of the short dimension 3.66m (12'- 0") elevation wall, due to the need for lateral shear resisting members in these elevations. Subsequent design resulted in the use of a 0.914m (36") wide nominal opening for all windows and doors. Further, the placement of these openings in the long dimension elevation of the shelter facilitates the placement of adjacent shelters to create "rooms" which can be arranged into usable building complexes.
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PANEL SYSTEM - LOCALIZED PANEL DESIGN The panel shape was developed to enhance structural performance. Specifically, the panel is comprised of a continuous truss system that helps stiffen the section and facilitates stress transfer between the upper and lower skins that also act to resist bending induced stresses in two directions. The panels were developed to be used in an opposing, interlocking fashion, as shown in Figure 2. The single panel configuration is detailed in Figure 3.
Figure 2 Interlocking FRP Panel System'
FRP Panelized Rapid Deployment Shelter 711
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Trapezoid shaped ribs method for connection aaacent members. A1 panels are interlocked, provide resistance agai twisting along member length.
Trapezoid shape reduces the stress concentration that would occur at this point in a triangle shaped rib
Members are slid together during construction
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FRP skin provides the flexural andin-plane shear capacity Panel lip locks into adjacent member, providing resistance to moisture / air i n h s i m
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Figure 3 FRP Panel Member Cross Section’
Aside from the structural performance characteristics inherent in the continuous truss configuration of the panel, several positive attributes develop as a result of the geometry. Specifically, the truss shape of the panel ribs allow for their usage as interlocking connectors. When opposing panels are connected in this fashion, the overall panel structure acts to restrict moisture and air infiltration2. Another attribute of the panel member design are the lip connectors that run along the perimeter of each panel. These connectors, while not designed to transfer structural stresses between members, are adequate to seal the joint that occurs between adjacent panel members. Such a lip connection is required to restrict moisture and air penetration through the system. This
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attribute allows the user to transfer forces between adjacent panels while ensuring that building envelop integrity is maintained. PANEL SYSTEM - SYSTEMIC CONCEPTUAL DESIGN
The interlocking connections of the panel system greatly simplify the erection process due to the lack of a need for additional connections and members. This feature contrasts with one of the main observed weaknesses in existing building systems. Specifically, it was noted that all of the available systems required separate connector members, both for member to member connection and member to support frame attachment3. It may be argued that for each supplemental connector / attachment, an increase occurs in both erection complexity and the time required to construct the building. The application of a fully interlocking assembly system greatly simplifies the construction while ensuring the quickest erection process possible (Figure 4).
Figure 4 F W Panelized Shelter System3
FRP Panelized Rapid Deployment Shelter 713
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A critical problem that arises with respect to the design of an emergency shelter is the transfer of forces along the building's load pathways from the roof to the foundation system. During the industry review, this aspect was noted to be a significant weakness with respect to each building's structural performance. Through the development of the FRP interlocking panelized building system, this issue was addressed through the use of sets of interlocking anchor blocks, installed at the roof - wall transition, and shown in Figure 5. To allow this connection to be adjustable during the construction / erection process, each set of blocks is attached using adjustable cables. During peak load applications, these blocks act both as tension connectors (providing direct uplift resisting members to transfer roof load to wall components) and rotational stiffeners (restraining the rotation of the roof - wall transition as a result of laterally induced wind shear on the shelter).
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Figure 5 FRP Roof Anchorage Detail3
714 FRPRCS-6: FRP Structural Shapes
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CONCLUSIONS
The development of the panelized shelter building system started with a conceptual design to address non-structural issues such as building system simplicity and the ability to disassemble and rebuild the structure with minimal work or member damage. The new system reduced the number of member types required during construction and facilitates systemic strength through interlocking of component members. Moreover, the use of FRP materials provided the greatest amount of design flexibility. We would recommend that a full size proto-type be built and tested to further develop the useful applications for this technology. ACKNOWLEDGMENTS
This work was supported by the Center for Disaster Management and Humanitarian Assistance, University of South Florida under contract from the Office of Naval Research. Further, we wish to thank Dr. Ayman Mosallam for his expertise in the areas of FRP composite materials and structural performance. REFERENCES
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1. ASCE 7-98, (1998). “Minimum Design Loads for Buildings and Other Structures”, American Society of Civil Engineers, New York, NY. 2. Bradford, N., Sen, R. and Mosallam, A. (2001). “Development of New Modular Composite Panel”. Proceedings of the 46‘h International SAMPE Symposium and Exhibition-Science of Advanced Materials and Process Engineering Series, Vol. 46, Long Beach, CA, May 6-10. Society for the Advancement of Material and Process Engineering, pp 93 1-942. 3. Bradford, N., Sen, R., Cooke, S. and Crespi, R. (2000). “Rapid Deployment Emergency Shelter”, Final Report submitted to Center for Disaster Management and Humanitarian Assistance/OfJice of Naval Research, December, pp. 169.
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FRPRCS-6, Singapore, 8-10 July 2003 Edited by Gang Hwee Tan QWorld Scientific Publishing Company
EXPERIMENTAL INVESTIGATION OF PULTRUDED FRP SECTION COMBINED WITH CONCRETE SLAB
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A. BIDDAH Department of Civil and Environmental Engineering, UAE University Al-Ain, P. O.B. 17555, United Arab Emirates
The use of Fiber Reinforced Polymer (FRP) Composites is one of the latest significant developments in the field of bridge construction. FRP composites have been the material of choice in the aerospace industry since 1960s. However, only recently glass FRP composites have been gaining both popularity and acceptance as one of the structural materials of choice because of their high strength and stiffness to weight ratio, and corrosion resistance. This paper demonstrates the possibility of combining composite materials with a low-cost construction material (i.e. concrete) resulting in a new concept of designing lightweight, corrosion immune, yet inexpensive beams having acceptable structural properties. Pultruded FRP beam section-to-concrete slab is proposed to behave under bending as a composite beam. The objectives of the proposed research are to investigate the composite behaviour of FRP members with reinforced concrete slabs and comparing the behaviour of fully encased FRP beams with that of FRP beams mechanically anchored to the concrete. An experimental program was conducted to demonstrate the behaviour of the pultruded FRP beam-toconcrete slab in composite action. Three large scale specimens of 2.25 m length were tested under four-point loading. The first specimen is a pultruded FRP beam used as a control beam. The second specimen consists of pultruded FRP beam-to-concrete slab acting as a composite beam. The third specimen is a fully concrete encased FRP beam. The test results indicated the feasibility of using hybrid FRP-concrete beam to increase the load carrying capacity in flexure as well as beam stiffness. The outcome of this research provides substantial information for both designers and researchers in the field of FRP composites.
INTRODUCTION The use of FRP composites as structural materials to replace the more traditional steel and concrete materials has gradually increased in the construction industry. Properties such as high corrosion resistance, low densities, high durability, high strength, good stiffness to weight ratios and ease of handling and installation make composites far more desirable.
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However, applications in current practice of this type of structural material are still very rare. Deformability and cost are the main obstacles. To overcome these disadvantages, many authors have proposed structural elements in which GFRP is combined with other (less expensive and more massive) structural materials. For instance, GFRP wires and rods have been proposed as reinforcing bars for concrete and GFRP box and tubular sections have been used as permanent forms (having a structural effect as confinement and reinforcement) for concrete columns. GFRP plates (bonded to an external surface of reinforced concrete beam or slab) have been used as a repair or strengthening measure. However, the associated structural deformation in these applications is comparatively high. To overcome the disadvantage of high deformability of GFRP, pultruded FRP-to-concrete slab is proposed in this research as a composite beam. The composite action between the FRP structural shapes and concrete is supposed to reduce the previously observed high deformation when FRP rebars were used in concrete. The results of the proposed research will provide an alternative, practical construction system. Shear connectors are installed between the pultruded FRP beam and the concrete slab. These connectors resist the horizontal shear at the pultruded FRP beam-to-concrete slab interface caused by composite action.
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BACKGROUND Pultruded fiber reinforced polymer (FRP) shapes are either thin-walled or moderately thick-walled open or closed sections consisting of assemblies of flat panels. Due to the high strength-to-stiffness ratio and thin-walled sectional geometry of FRP shapes, problems of global instability, global and local buckling mode interaction, and excessive local deformations are common in current structural shapes. Buckling prior to attainment of the ultimate material strength as well as deflection limits generally control the design of current FRP beams. For long-span FRP beams, Euler (overall) buckling is more likely to occur than local buckling. As for short-span FRP beams, local buckling or distortional buckling (a combination of local and lateral buckling) may occur first and may finally lead to large deflections or material degradations (crippling). The web element of FRP shapes may buckle locally due to shear loading when the beams are under bending. When the web is deep and thin, local buckling of the web under shear loading may occur before the flange buckles. The first application of FRP composites in the USA for road bridges was the structural composite honeycomb sandwich panel deck in Russell,
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Kansas in 1996. Following this, several demonstration bridges were installed throughout the USA. Currently over 40 FRP composite vehicle bridges have been installed. Some FRP composite examples include2: (a) Tom's Creek Bridge, Blacksburg, Virginia - Strongwell Product constructed in 1997, and (b) Troutville Weigh Station, Troutville, Virginia- Strongwell constructed in 1999. In most bridges, composite action with the deck was not considered. The design of GFRP beams is usually governed by the low stiffness, resulting in a need for excessive use of composite material to satisfy certain displacement requirements. In view of this, a novel and more efficient design of composite pultruded GFRP beam is necessary. Since concrete provides the highest compressive strength and stiffness to cost ratio, the GFRP flange could be substituted by a layer of concrete. Such a layer will prevent the local buckling of the compression flange of the GFRP. A good bond between the concrete and the GFRP can be achieved by either using epoxy adhesives or installing mechanical shear connectors to the top GFRP surface. EXPERIMENTAL PROGRAM
The work proposed in this research focuses on the combination of FRP members with concrete to provide a composite action. Two types of composite construction will be investigated as shown in Figure 1. The first type is a fully encased beam which rely on the natural bond between concrete and FRP without additional anchorage. The second type is a FRP beam with mechanical anchorage to concrete slabs in the form of double nut bolts as shear connectors. Composite action reduces the flexural stresses and increases the flexural stiffness. Consequently, the proposed composite action eliminates the disadvantage of high deformation obtained in the case when FRP rebars are used.
FRP beam mechanically anchored to concrete slab
Fully encased FRP beam without additional anchorage Figure 1. Types of composite construction
718 FRPRCS-6: FRP Structural Shapes
Test Specimens
Three large scale specimens were tested. The overall length of the specimens was 2.25 m. Specimen SPl, the control specimen, is a pultruded FRP wide-flange I-beam with flange dimensions of 150 x 6 mm and web dimensions of 150 x 6 mm. Specimen SP2 consists of a pultruded FRP wide-flange I-beam similar to that of SP1 but with a top concrete slab of thickness 60 mm and width of 600 mm. The slab reinforcement consists of 6 mm diameter steel bars at 200 mm in both directions. The slab was connected to the FRP section using two rows of 16 mm diameter double nut bolts at a uniform spacing of 150 mm throughout the span of the FRP beam. The height of the bolts above the FRP flange is 40 mm. A total of four FRP stiffeners (6 mm thick) were mounted on the FRP beam using polyester resin; two stiffeners at each support point. The third specimen SP3 consists of a pultruded FRP wide-flange I-beam similar to that of SPl fully encased in a concrete T-beam of beam dimensions 210 x 210 mm and top slab of dimensions 60 x 600 mm. The slab reinforcement consists of 6 mm diameter steel bars at 200 mm in both directions. A concrete slab similar to that used in specimen SP2 but without the FRP beam was tested to study the effect of the composite action on it. Figures 2 and 3 show the dimensions, loading and support system for Specimens SP2 and SP3, respectively. Figure 4 shows the test setup for specimens SPl and SP2. The specimens were tested in four-point bending over a 2.05 m simply supported span. Load control was employed and the loading was applied in increments of approximately 7% of the expected failure load. The loading was continued up to failure of the specimen. In all specimens, electrical strain gauges were mounted on the top and bottom surfaces of the FRP beam at mid-span section while in specimens SP2 and SP3, extra strain gauges were mounted on the concrete top surface. The deflection was measured by means of LVDT placed at the mid-span section.
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Figure 2. Specimen SP2 dimensions and loading and supporting system
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Pultruded FRP Section with Concrete Slab 719
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I ,
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195 c 210
l
4
,
1
195
4
Sectionx-x
1%'
683 mm
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684
Y
4
687
JW
4 4
Figure 3. Specimen SP3 : dimensions and loading and supporting system
Figure 4. Test set-up of specimens SPl and SP2
Material Properties The reinforcing bars used as longitudinal and transverse reinforcement in the slab are of yield strength of 275 MPa. The concrete cylinder compressive strength is 28 MPa. The pultruded GFRP structural shape is a wide-flange 150 x 6 mm beam. The mechanical properties of the FRP structural shapes are given in Table I , Table 1. Mechanical and Physical properties of FRP structural shapes
Mechanical properties
Physical properties
Tensile and compressive strength (MPa) Shear strength (MPa) Flexural strength (MPa) Tensile and compressive modulus (MPa) Flexural modulus (MPa) Full section Modulus of Elasticity (MPa) Poisson's ratio (MPa) Density ( p / m m ' ) Coeflcient of thermal expansion (mm/mmPC)
207 31 207 17200 11000 17200 0.33 0.002 8x
720 FRPRCS-6: FRP Structural Shapes zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQP
zyxwv zy
TEST RESULTS AND DISCUSSIONS
The mid-span deflection, strains and crack propagation were recorded at different stages of loading till the failure of the specimens. Behaviour of Test Specimens
A summary of the experimental results is presented in Table 2. It includes the loads and deflections at ultimate (failure) stage in addition to the modes of failure and the weight of the specimens per unit length. Figure 5 shows the local buckling of the compression flange of Specimen SPl and Figure 6 shows the failure of Specimen SP2. Table 2 . Failure loads, deflections and mode of failure of test specimens
Ultimate Specimen Specimen ultimate deflection weight designation load (IN) (mm) (kN/m) SPl
42.1
36.8
0.06
SP2
98.3
33.6
0.92
SP3
111.3
63.4
1.68
Figure 5. Local bucking of the compression flange of specimen SPI
Modes of failure local bucking of the comuression flanpe web-flangejunction delamination and local web buckling due to shear concrete crushing
Figure 6. Failure of specimen SP2 showing delamination in flange and buckling of web
From Table 2, Figures 5 and 6 as well as the observed behaviour of the test specimens, the following remarks could be concluded:
Pultruded FRP Section with Concrete Slab 721
(a) In the case of Specimen SP1, the FRP beam was loaded until the
(b)
(c)
(d)
(c)
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compression flange developed wave like deformations along the length due to local buckling. The flange deformations were large, often greater than the thickness of the flanges. The local buckling load was taken as the failure criterion. In the case of specimen SP2, cracking in the concrete slab started at a taken load of 45 kN. A slight noise was heard at a load of 58 kN. Separation between the FRP top flange and the FRP web started at a load of 70 kN. Specimen SP2 failed due to delamination at the interface between the top flange and web in the shear zone followed by buckling and compression failure of the web due to shear. Shear connectors eliminated the possibility of bond failure between concrete and FRP beam. In the case of Specimen SP3, primary flexural crack was first visible at the mid-third region at about 10 % of the ultimate load. A slight noise was heard at a load level of 52 kN. Specimen SP3 failed due to crushing of concrete near the slab bottom surface. Wide cracks appeared at a load of 70 kN in Specimen SP3. This is attributed to the sliding between the concrete slab and the FRP beam which prevented the development of monolithic flexural action in the longitudinal direction. In order to achieve monolithic flexural action between the concrete slab and the FRP beam, a mechanical bond needs to be established. This proposed bond improvement is under current investigation.
Load-Deflection Behaviour The applied load versus central-deflection of the test specimens is presented in Figure 7 from which the following remarks could be concluded: (a) The total applied load in Specimen SP1 increased linearly with deflection till a load level of 27 kN where the compression flange started to buckle. A linear behaviour is observed even after local compression flange buckling occurred. (b) The stiffness of the composite beam Specimen SP2 is higher than that of the control Specimen SP1 at all loading stages. This is attributed to the composite action between the concrete slab and the FRP beam which improved the strength and the stiffness of the beam. The addition of shear connectors does not only serve to improve the strength of the FRP beam but also leads to a stiffer specimen.
zyxwvutsr
722 FRPRCS-6: FRP Structural Shapes
(c) Although the initial stiffness of Specimen SP3 before cracking is higher than that of Specimen SP2, the latter shows higher stiffness than Specimen SP3 after cracking until failure. (d) At a load level of 53 kN, the stiffness of Specimen SP3 decreased due to the slippage between the FRP beam and the concrete. (e) At a load level of 70 kN, the stiffness of Specimen SP2 decreased due to the start of separation between the FRP top flange and the FRP web in the shear zone.
zyxwv
0
10
20
30
40
50
60
Central deflection (mm)
Figure 7. Load-central deflection relationship of the tested specimens
Concrete and FRP Strains The longitudinal strain was recorded at various locations in the specimens at different load levels. The total applied load versus strain curves, at midspan section, is displayed in Figures 8 and 9 of specimens SPl and SP2 and SP3, respectively. The longitudinal strain profile at various load levels at mid-span section is shown in Figures 10 and 11 for Specimens SP2 and SP3, respectively. From these figures the following remarks could be concluded: (a) In Specimen SP1, the strains in the bottom flange and top flange were approximately equal, indicating that the neutral axis is in the middle. At a load level of approximately 27 kN, local buckling started in the top flange causing larger strains which can accelerate the failure of the compression flange. (b) At all load levels, lower longitudinal FRP strains are noted in the composite Specimen SP2 to those in the control specimen SP1. This significant reduction in strain corresponds to a higher load capacity, which arises due to the composite action of the slab with the FRF'
Pultruded FRP Section with Concrete Slab 723
z
beam. The composite actions increased the effective depth of the specimen and shifted the neutral axis towards the concrete slab. c) Significant increase in strains in the FRP upper flange in Specimen SP3 occurred after the slippage of the FRP beam at a load level of 53 kN. (d) In Specimen SP2, the neutral axis remains roughly at the same location near the concrete slab bottom surface until failure took place. An approximate linear profile is observed at lower load levels. Non linearity in the strain profile is noticed at higher load levels, which indicates that the shear connectors could not provide full composite action between the concrete slab and the FRP beam. (e) In Specimen SP3, an approximately linear profile is observed, showing a composite action between the FRP beam and the concrete slab before slippage took place at a load level of 53 kN. After slippage, the strains at the concrete surface slightly increased, shifting the neutral axis of the specimen away from the concrete slab.
-8 v
-a
120 110 100 90 80
70
zyxwvutsrqpon zyxwvutsrqpon zyxwvutsrqpo
60 so
40 30 20 10 0 4.006
4.004
0
4.002
0.002
O.OM
0.006
4.006
Strains of specimens SP1 B SPZ(mm/mm)
4.004
4.002
0
0.002
0.004
0.006
Strains of specimen SP3 (mmlmm)
Figure 8. Load-strain relationship of the specimens SPl and SP2
Figure 9. Load-strain relationship of the specimen SP3
210
210
180
180
g I50 E ; 120
E ; 120
154
0
0
290
g
90
$
$
60
>
60
30
30 0 -4000
-2000
0
2000
4000
6000
Longitudinal strain (microstrain)
Figure 10. Longitudinal strain profile at mid-span section of specimen SP2
0 4000
-2000
0
2000
4000
6000
8000
Longitudinalstrain (microstrain)
Figure 11. Longitudinal strain profile at midspan section of specimen SP3
724 FRPRCS-6: FRP Structural Shapes
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CONCLUSIONS In this study, FRP-to-slab hybrid system is considered as an outstanding alternative to conventional slab systems. The system exhibited many advantages such as lightweight, easy and fast assembly without heavy lifting equipment, corrosion resistance and significant over-strength in the assembled system. However, the performance characteristics of the system need further investigation and development. The following conclusions can be deduced: (a) The tests revealed noticeable difference in flexural stiffness between the FRP beam and the FRP-to-slab hybrid systems. The difference is attributed to the composite action between the FRP beam and the concrete slab. (b) The overall response of the FRP-to-slab hybrid specimen was essentially elastic all way till reaching failure. The local web buckling failure mode indicated the possibility of further capacity increases when adding more web stiffeners to the FRP beam. (c) Despite the longitudinal debonding between the FRP beam and concrete in the FRP encased beam, the system capacity increased, thus, demonstrating the effectiveness of FRP encasement in concrete. The concrete surrounding the FRP beam prevents local buckling of its compression flange and web. ACKNOWLEDGEMENTS
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This research was funded by the scientific research council (grant No. 7-711/02), United Arab Emirates University and was conducted in the Department of Civil and Environmental Engineering laboratories. The efficient cooperation of Eng. Tarek Shaikhoun, Laboratory Engineer, in conducting the tests, is acknowledged. REFERENCES
1. Qiao P., Davalos J.F. and Wang J., "Local buckling of composite FRP shapes by discrete plate analysis," Journal of Structural Engineering, ASCE, Vol. 127, No. 3, March 2001, pp. 245-255. 2. C. Waldron, M. Hayes, E. Restrepo, T. Cousins and J. Lesko, "Determining the design parameters for an FRP girder bridge in Virginia," Proceedings of the 6* International Conference on short and medium span bridges, Vancouver, Canada, August 2002, pp. 1361-1368.
Author Index Abdelrahman, A. 663 Adhikary, B.B. 457 Agyei, B.B. 935 fit-Mokhtar, A. 833 AlChami,G. 623 Alhozaimy, A.M. 823 Al-Mahaidi, R. 247 Almusallam, T.H. 823 Al-Saidy, A.H. 1269 Al-Salloum, Y .A. 823 Alsayed, S.H. 823 Altan,M.O. 673 Alwis, K.G.N.C. 111 An,L. 995 Anderson, A.H. 1301 Araujo, A.F. 1003 Ara~jo,A.S. 477 Arora,D. 1067 Asakura, T. 1157 Ashraf,M. 457 Bakht, B. 923,945 Balafas, I. 1391 Balaguru, P. 367 Balendra, T. 1127 Balendran, R.V. 1047 Bank, L.C. 1067,1301 Banthia,V. 945 Barbato, M. 387 Benlloch, J. 337 Benmokrane, B. 737, 1291,1311, 1341 Biddah,A. 715 Bittencourt, T.N. 173
Blaschko, M. 205 Boulay, C. 913 Bousias, S.N. 527 Bradford, N.M. 705 Brikre, F. 1341 Burgoyne, C.J. 111,1013, 1391 Camata, G. 267,307 Carolin, A. 467, 1371 Carter, J.W. 1301 Casadei, P. 1097 Choi, M.C. 955 Chu,W. 759 Ciupala, M.A. 643, 1117 Clement, J.L. 913 Codato, D. 1239 Cosenza, E. 653,1361 Crawford, J.E. 1199 Dai, J.G. 143 Davies, J.M. 217 Davies, P. 347 De Lorenzis, L. 57 1,581,795, 975, 1351,1455 Dejke,V. 833 Delmas, Y. 497 Delpak,R. 347 Deng,Y. 875 Denton, S.R. 1147 DesgagnC, G. 1311, 1341 Desiderio, P. 843 Diagana, C.497 Dieter, D.A. 1301 Dietsche, J.S. 1301 Dos Santos, A.C. 173
Volume One: 1-724; Volume Two: 725-1464
zyxwvu
Ebead, U.A. 427,437 Ehrlacher, A. 407 El Maaddawy, T. 855 El-Hacha, R. 895 Elremaily, A.F. 79 El-Salakawy, E.F. 737, 1291, 1311, 1341 Ergun, B. 673 Erki,M.A. 895 Fakhri,P. 913 Fam,A.Z. 685 Fardis, M.N. 527 Feng,P. 1401 Ferracuti, B. 163 Ferreira, A.J.M. 695 Foret, G. 407 Foster, S.J. 1177 Fujisaki, T. 1435 Fukai,S. 1435 Fukuyama, H. 133,507,1435 Furuta, T. 133,507 Galati, N. 1219 Gale, L. 955 Gallagher, B. 1301 Gedalia, B. 497 Gettu, R. 173 Gonenc, 0. 1067 Gottardo, R. 1239 Grace, N.F. 1281 Grando, S. 1229 Gremel, D. 1067 Gu, X.L. 1107, 1259 Guadagnini, M. 517 Guan,H. 1381 Guglielmo, E. 1361 GuimarZes, G.B. 1003 Hadi, M.N.S. 487,613 Hamad, B.S. 633 Hanamori, N. 885 Harada,T. 89
Harajli, M.H. 633 Hashem, Y. 663 Hassan,T. 123 Hattori, A. 815,995 Hayashi, K. 885 He, W. 1157 Heffernan, P.J. 895 Hejll, A. 1371 Higuchi, T. 885 Hill, R.A. 1301 Hong, W.H. 1401 Huang, Y.H. 1107 Ibe,H. 227 Ibell, T.J. 539,955, 1097, 1147 Ichiryu,T. 885 Iervolino, I. 1361 Ikeda,A. 885 Ilki,A. 673 Ishikawa, T. 885 Ishiyama, S. 1037 Iwashita, K. 885 Janssens, J. 297 Jia, M. 875 Joh,O. 227 Kaku,T. 1445 Kanakubo, T. 133,507,1435 Karbhari, V.M. 759, 1381 Kassem, C. 1291 Keller, T. 1331 Kesse, G. 447 Khayat, K. 623 Khin, M. 89 Khomwan, N. 1177 Kirikoshi, K. 1037 Kishi, N. 287,327 Kishimoto, M. 865 Klaiber, F.W. 1269 Kobayashi, A. 865 Kobayashi, K. 1435 Koc,V. 673
Volume One: 1-724; Volume Two: 725-1464
Kojima, Y. 1157 Kong, K.H. 1127 Kubo,Y. 815 Kumbasar, N. 673 Kurihashi, Y. 287 La Tegola, A. 749,795,975, 1351 Labossikre, P. 779 Lackey, T. 1311 Lam, L. 99,601 Laoubi, K. 737 Lee,K. 247 Lees, J.M. 447,935 Leong, K.S. 257 Leung, H.Y. 1047 Li,A. 497 Li, J. 613 Liew, Y.S. 769 Ligozio, C.A. 79 Limam,O. 407 Limkatanyu, S . 307 Lin,L. 1401 Lopez, M.M. 317 Lu,M. 193 Lu, Z. 551,561 Luciani, P. 183 Maalej, M. 257 Manfredi, G. 653, 1209 Maqsood, T. 1047 Marcari,G. 1209 Marques, A.T. 695 Marzouk, H. 427,437 Masmoudi, R. 1341 Masuo, K. 1445 Matsui, S . 865 Matsuzaki., Y. 1445 Matthys, S. 297 Mazzoti, C. 163 McMonigal, D. 1067 Mehrabi, A.B. 79 Meier, U. 153, 1321
Melo, G.S. 477 Memon, A.H. 923 Micelli, F. 749,795, 1351 Migayama, T. 995 Mihashi, H. 1037 Mikami, H. 287,327 Miyagawa, T. 815 Modena, C. 1249 Monti, G. 183,387,1057 Morais, M.M. 1013 Morrill, K.B. 1199 Mortazavi, A.A. 643 Moulsdale, M. 613 Mufti, A.A. 923,945 Murakami,S. 885 Mutsuyoshi, H. 457 Myers, J.J. 749 Naaman, A.E. 3,25,317 Nagato, Y. 477 Nakai,H. 785 Nakan0.K. 1445 Nanni, A. 417,1097, 1147, 1219, 1229, 1455 Neale, K.W. 427,437,779 Nelson, B. 1067 Nilsson, L.O. 833 Nishimura, T. 785 Nishizaki, I. 779 Niu,H. 377 Nordin, H. 1077 Nurchi, A. 297 O’Regan, B. 527 Oh, H.S. 905 Oliva, M.G. 1301 Ouyang, Y. 1107,1259 OzeLM. 1067 Parra, C.J. 337 Patoary, M.K.H. 1189 Pecce, M. 1209 Pelletier, M.-A. 623
zyxwvu
zyxwvu Volume One: 1-724; Volume Two: 725-1464
Pigeon, M. 737 Pilakoutas, K. 5 17,643, 1117 Pimanmas, A. 277 Pornpongsaroj, P. 277 Porter, A.D. 1147 Poupard, 0. 833 Prota, A. 653 Qian, Z.Z. 1107 Rakib,T. 663 Renzelli, M. 183 Ribeiro, M.C.S. 695 Rizkalla, S.H. 123,685 Rousakis, T. 571,581 Russell, J.S. 1301 Russo, S. 1239 Sakai,H. 785 Santini, S. 1057 Saouma, V. 267 Sato, Y. 237,965 Savoia, M. 163 Sawada, S. 287 Sayed, G.A. 1281 Scarpa,M. 297 Schnerch, D.A. 685 Sen,R. 705 Shaaban, I. 663 Shaheen, H. 663 Sherping, R. 1137 Sim, J. 905 Smith, S.T. 193, 1023 Soudki, K. 855,1137 Spacone, E. 267,307 Spathis, L.A. 527 Stoecklin, I. 1321 Sugiyama, M. 727 Svecova, D. 945 Taerwe, L. 297 Tailhan, J.-L. 913 Takahashi, Y. 237 Takeda, T. 885
Taljsten, B. 467, 1077, 1167, 1371, 1425 Tamuis, V. 571,581 Tan, K.H. 769,985, 1087, 1127, 1189 Tan,K.Y. 417 Tanaka,M. 89 Tann, D.B. 347,357 Taranu, N. 1117 Teng,J. 591 Teng, J.G. 99,193,601 Tepfers, R. 571, 581, 833 Terrasi, G.P. 935 ThCriault, M. 623 Thomsen, H. 307 Tinazzi, D. 1249 Tjandra, R.A. 985 Toutanji, H. 367, 875 Triantafillou, T.C. 527 Tuladhar, R. 965 Tumialan, J.G. 417, 1219, 1229 Turco, V. 1219 Ueda, T. 51, 143,965 Ulaga, T. 153, 1415 Uomoto, T. 37,727,785 Utsunomiya, Y. 965 Valcuende, M. 337 Valerio, P. 539 Valluzzi, M.R. 1229, 1249 Van Zwol, T. 1137 Vanderpool, D.R. 79 Venkataramana, K. 89 Vogel, T. 153, 1415 Waldron, P. 5 17 Wang,Z. 227 Wight, R.G. 895 Wigum, B.J. 805 Wipf, T.J. 1269 Woods, S. 1301 Wu, G. 551,561
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Volume One: 1-724; Volume Two: 725-1464
zyx zyxwvut
Wu, G. 551,561 Wu,H.C. 591 Wu, Z. 377,551,561,885,1157 Wu, Z.J. 217 Wu,Z.Y. 913 Xiong, Z.H. 487 Yamada, K. 1037 Yamamoto, S. 815 Yamamoto, T. 995 Yang,T. 1401 Ye, F.F. 1259 Ye, L.P. 1401 Yin, J. 1157
You, C.S. 571,581 Yue, Q.R. 1401 Zehetmaier, G. 397 Zhang, G.F. 327 Zhang,K. 1401 Zhang, N. 1401 Zhang, W.P. 1259 Zhang,Y. 367 Zhao, H.D. 1087 Zhao,L. 1381 Zilch, K. 397 Zou, P.X.W. 1023
Volume One: 1-724; Volume Two: 725-1464
Edited by Kiang Hwee TAN
Reinforcement for Concrete Structures VOLUME 2
Proceedings of the Sixth International Symposium on FRP Reinforcement for Concrete Structures (FRPRCS-6) ^FRPRCS 1003 Singapore
World Scientific
Reinforcement for Concrete Structures VOLUME 2
This page is intentionally left blank
Edited by Kiang Hwee TAN National University of Singapore, Singapore
Singapore
8-10 July, 2003
Reinforcement for Concrete Structures
Proceedings of the Sixth International Symposium on F1P Reinforcement for Concrete Structures
VOLUME 2
(FRPRG-6)
Ililli •2#PJ Si^^pum i
^
World Scientific New Jersey • London
• Singapore
• Hong
Kong
Published by World Scientific Publishing Co. Pte. Ltd. Toh Tuck Link, Singapore 596224 USA office: Suite 202, 1060 Main Street, River Edge, NJ 07661 UK office:
Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-m-Publication Data catalogue record for this book available from the British Library.
FIBRE-REINFORCED POLYMER REINFORCEMENT FOR CONCRETE STRUCTURES — (In Volumes) Proceedings the Sixth International Symposium on FRP Reinforcement for Concrete Structures (FRPRCS-6) Copyright
2003 by World Scientific Publishing Co. Pte. Ltd.
any means, All rights reserved. This book, parts thereof, may not reproduced any form electronic or mechanical, including photocopying, recording any information storage and retrieval invented, without written permission from the Publisher. system now known
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Printed by Fulsland Offset Printing (S) Pte Ltd, Singapore
Preface Research on the application of fibrereinforced polymer (FRP) as reinforcement for concrete structures appeared m as early as the 1960s. However, was not until the late 1980s that such research has escalated, leading to field applications. The interest in nonmetallic reinforcement was fuelled by the corrosion problem associated with steel reinforcement that surfaced around the world at that time, and the downturn of the aerospace industry where fibrereinforced polymers have been widely used due to its high specific strength and modulus, and other superior characteristics. I was fortunate to spend my sabbatical with Professor Naaman at the University of Michigan, USA, during the Fall and Winter of 1991 and with Professor Okamura at the University of Tokyo, Japan, during Spring and Summer of 1992. The former introduced to me this new material that has since fascinated many in the research community and construction industry In okyo, in particular, was overwhelmed by the mountains of research that were embarked by universities, public institutions and private companies on the development and application of FRP rods as reinforcement for concrete structures. There were round bars, flat bars, square bars, braided bars, sanded bars, strands, grids and links, and even threedimensional reinforcement. Several applications m footbridges, foundation beams, tunnel linings, and floating structures suddenly mushroomed all over Japan and the rest of the world. That probably constituted the first era in the application of FRP reinforcement in concrete structures. The FRPRCS Symposia Series was initiated in 1993, and subsequently held every two years in the continents of America, Europe and Asia, on rotational basis. The previous symposia were held in Vancouver, Canada (1993), Ghent, Belgium (1995), Sapporo, Japan (1997), Baltimore, USA (1999), and Cambridge, UK (2001). This year marks the 10th anniversary of the FRPRCS Symposia Series, and the Department of Civil Engineering the National University of Singapore honored to host the 6th International Symposium on FRP Reinforcement for Concrete Structures (FRPRCS6) in Singapore.
The planning and preparation works for FRPRCS6 in effect began almost six years ago in 1997 when was asked in Sapporo, to be the second Asian host for the FRPRCS International Symposium. At that time, there was still little awareness of the material known as FRP reinforcement in Asia outside Japan, and if any the interests were centered mainly on externally bonded FRP systems rather than FRP reinforcing rods. The Kobe earthquake in 1995 has brought about rapidly increasing interests in the use of FRP systems in structural rehabilitation, and that marked the beginning of the second era in FRP applications in concrete structures. T promote awareness and interests in the development and application of FRP reinforcement in Singapore and the region, the Fibre Reinforced Society (Singapore) was formed in September 2002 and has since been coorganizer of this Symposium. The FRPRCS6 International Symposium will signify the beginning of the third era, in which one could witness global interests in FRP reinforcement, as well as the use of FRP reinforcements as structural shapes, and in masonry and steel structures. This set of proceedings contains total of 140 papers from 26 countries, in two volumes. Each technical paper had been reviewed and selected for presentation by at least two members of the International Scientific Committee, to whom I would like to express my gratitude. Volume of the proceedings contains four invited keynote papers and 63 technical papers dealing with: (i) FRP Materials and Properties; (ii) Bond Behaviour; (iii) Externally Bonded Reinforcement (EBR) for Flexure, Shear and Confinement; and (iv) FRP Structural Shapes. The topics covered in Volume 2 are: (v) Durability and Maintenance; (vi) Sustained and Fatigue Loads; (vii) Prestressed FRP Reinforcement and Tendons; (viii) Structural Strengthening; (ix) Applications in Masonry and Steel Structures; (x) Field Applications and Case Studies; and (xi) Codes and Standards. Seventythree papers are included m Volume 2. The FRPRCS6 International Symposium also witnessed the formation of the International Steering Committee, which comprises the chairmen of the current and previous FRPRCS Symposia. The mam purpose of this Committee to chart the future directions for the Symposia Series, has appointed threeman taskforce to determine the Best Paper (Research), Best Paper (Application) and Honorable Mention Awards, which were first introduced at FRPRCS6. The three gentlemen in the taskforce were Professor C.W Dolan from USA, Professor F.S.
VII
Rostasy from Germany, and Professor H. Okamura from Japan. All of them are well known in the areas of FRP reinforcement and structural concrete. The organization of the Symposium would not have been possible without the generous contributions from the sponsors, who are degussa MBT (S) Pte Ltd, Fyfe Asia Pte Ltd, Mapei Far East Pte Ltd, Sika (S) Pte Ltd, Lee Foundation (Singapore) and Defence Science & Technology Agency. I would also like to express my sincere thanks to the American Concrete Institute, USA, Institution of Engineers, Singapore, Japan Concrete Institute, Japan, and The Concrete Society, UK, for supporting the event. Last, but not least, I would like to acknowledge the help of my colleagues, in particular, Balendra, Mansur and Maalej, and the Secretariat, comprising Christine, Siti and Sarimah, who have devoted many hours in getting the Symposium organized.
Kiang Hwee Tan Singapore July 2003
FRPRCS6 Organizing Committees National University of Singapore Organizing Committee Chairman Members Secretariat
K.H. Tan T. Balendra, M.A. Mansur, M. Maalej C.S. Tan, Siti Rohani, Sarimah
International Steering Committee S.H. Rizkalla, USA L. Taerwe, Belgium K.H. Tan, Singapore T. Uomoto, Japan
CJ. Burgoyne, UK C.W. Dolan, USA A. Nanni, USA H. Okamura, Japan
International Scientific Committee K.H. Tan, Singapore (Chairman) K.W. Neale, Canada L.C. Bank, USA K. Pilakoutas, UK B. Benmokrane, Canada S.H. Rizkalla, USA C.J. Burgoyne, UK J. Sim, Korea E. Cosenza, Italy R.N. Swamy, UK C.W. Dolan, USA L. Taerwe, Belgium G.B. Guimaraes, Brazil J.G. Teng, China M. Harajli, Lebanon R. Tepfers, Sweden P. Hamelin, France T. Ueda, Japan L. Hollaway, UK T. Uomoto, Japan G. Manfredi, Italy P. Waldron, UK K. Maruyama, Japan Z. Wu, Japan U. Meier, Switzerland Q.R. Yue, China A.E. Naaman, USA A. Nanni, USA
VIM
Contents VOLUME 1 KEYNOTE PAPERS FRP Reinforcements in Structural Concrete: Assessment, Progress, and Prospects A.E. Naaman
3
Progress and Prospects of FRP Reinforcements: Survey of Expert Opinions A.E. Naaman
25
Durability Design of GFRP Rods for Concrete Reinforcement T. Uomoto
37
New Types of Continuous Fiber Reinforcements for Concrete Members T.Ueda
51
FRP MATERIALS AND PROPERTIES Performance of Thermoplastic Fiber Reinforced Polymer Rebars A.B. Mehrabi, C.A. Ligozio, A.F. Elremaily and D.R. Vanderpool
79
Experimental Study on Poisson's Ratio for FRP Tendons M. Tanaka, M. Khin, T. Harada and K. Venkataramana
89
Stress-Strain Model for FRP-Confined Concrete for Design Applications L. Lam and J.G. Teng
99
IX
Accelerated Techniques to Predict the Stress-Rupture Behaviour of Aramid Fibres (Best Paper - Research) K.G.N.C. Alwis and C.J. Burgoyne
111
BOND BEHAVIOUR Bond Characteristics of Various FRP Strengthening Techniques S.H. Rizkalla and T. Hassan
123
Bond Strength between Fiber-Reinforced Polymer Laminates and Concrete T. Kanakubo, T. Furuta and H. Fukuyama
133
Local Bond Stress-Slip Relations for FRP Sheets-Concrete Interfaces (Best Paper - Research) J.G. Dai and T. Ueda
143
Bilinear Stress - Slip Bond Model: Theoretical Background and Significance T. Ulaga, T. Vogel and U. Meier
153
Non Linear Bond-Slip Law for FRP-Concrete Interface M. Savoia, B. Ferracuti and C. Mazzoti
163
Experimental Analysis of Interface between CFRP and Concrete using Cylindrical Specimens A.C. Dos Santos, T.N. Bittencourt and R. Gettu
173
FRP Adhesion in Uncracked and Cracked Concrete Zones G. Monti, M. Renzelli and P. Luciani
183
Neural Network Prediction of Plate End Debonding in FRPPlated RC Beams S.T. Smith, J.G. Teng and M. Lu
193
Bond Behaviour of CFRP Strips Glued into Slits M. Blaschko
205
XI
EXTERNALLY BONDED REINFORCEMENT FOR FLEXURE Load Capacity of Concrete Beams Strengthened with External FRP Sheets Z.J. Wu and J.M. Davies
217
Reinforcing Effects of CFRP and AFRP Sheets with Respect to Flexural Behaviour of RC Beams O. Joh, Z. Wang and H. Ibe
227
Flexural Behaviour of RC Beams Externally Reinforced with Carbon Fiber Sheets Y. Takahashi and Y. Sato
237
Strength and Failure Mechanism of RC T-Beams Strengthened with CFRP Plates K. Lee and R. AlMahaidi
247
Effect of Beam Size on Interfacial Shear Stresses and Failure Mode of FRP-Bonded Beams K.S. Leong and M. Maalej
257
Debonding Failure of RC Structural Members Strengthened with FRP Laminates G. Camata, E. Spacone and V. Saouma
267
Effect of End Wrapping on Peeling Behaviour of FRP-Strengthened Beams P. Pornpongsaroj and A. Pimanmas
277
An Experimental Study on Debond-Control of AFRP for Flexurally Strengthened RC Beams S. Sawada, N. Kishi, H. Mikami and Y. Kurihashi
287
Tests on RC T-Beams Strengthened in Flexure with a Glued and Bolted CFRP Laminate A. Nurchi, S. Matthys, L. Taerwe, M. Scarpa and J. Janssens
297
XII
Parametric Studies of RC Beams Strengthened in Flexure with Externally Bonded FRP S. Limkatanyu, H. Thomsen, E. Spacone and G. Camata
307
Concrete Cover Failure or Tooth Type Failure in RC Beams Strengthened with FRP Laminates M.M. Lopez and A.E. Naaman
317
Influence of Material Properties of FRPs on Strength of Flexural Strengthened RC Beams G.F. Zhang, N. Kishi and H. Mikami
327
Ductility of Reinforced Concrete Beams Strengthened with CFRP Strips and Fabric M. Valcuende, J. Benlloch and C.J. Parra
337
A Review of Ductility Determination of FRP Strengthened Flexural RC Elements D.B.Tann,P. DaviesandR. Delpak
347
A Semi-Empirical Approach for the Prediction of Deflections of FRP Strengthened RC Slabs D.B. Tann
357
Crack Widths in RC Beams Externally Bonded with CFRP Sheets Y. Zhang, H. Toutanji and P. Balaguru
367
Numerical Simulations for Strengthened Structures with Hybrid Fiber Sheets H. Niu and Z. Wu
377
Fibre-Section FE of FRP-Strengthened RC Beam in Flexure, Shear and Confinement G. Monti and M. Barbato
387
Interaction between Internal Bars and External FRP Reinforcement in RC Members G. Zehetmaier and K. Zilch
397
XIII
Strengthening of RC Two-Way Slabs with Composite Materials O. Limam, G. Foret and A. Ehrlacher
407
Evaluation of Externally Bonded CFRP Systems for the Strengthening of RC Slabs K.Y. Tan, J.G. Tumialan and A. Nanni
417
Flexural Strengthening of Two-Way Slabs Using FRPs H. Marzouk, U.A. Ebead and K.W. Neale
427
Tensile Properties of Concrete in FRP Strengthened Two-Way Slabs H. Marzouk, U.A. Ebead and K.W. Neale
437
EXTERNALLY BONDED REINFORCEMENT FOR SHEAR Shear Critical RC Beams Strengthened with CFRP Straps G. Kesse and J. M. Lees
447
Effective Shear Strengthening of Concrete Beams using FRP Sheets with Bonded Anchorage B.B. Adhikary, H. Mutsuyoshi and M. Ashraf
457
Behaviour of Concrete Structures Strengthened in Shear with CFRP A. Carolin and B. Taljsten
467
Strengthening of RC T Beams in Shear with Carbon Sheet Laminates (CFRP) G.S. Melo, A.S. Araujo and Y. Nagato
477
Strength Analysis of Sheared Beams Retrofitted with Strengthening Materials Z. H. Xiong and M.N.S. Hadi
487
Shear Performance with Externally Bonded Carbon Fibre Fabrics A. Li, C. Diagana, Y. Delmas and B. Gedalia
497
XIV
Evaluation of Shear Capacity of RC Columns Strengthened by Continuous Fiber T. Furuta, T. Kanakubo and H. Fukuyama
507
Shear Design Equations for FRP RC Beams M. Guadagnini, K. Pilakoutas and P. Waldron
517
Strengthening of Corrosion-Damaged RC Columns with FRP S.N. Bousias, T.C. Triantafillou, M.N. Fardis, L.A. Spathis and B. O'Regan
527
Shear Strengthening of Concrete Bridge Decks using FRP Bar P. Valerio and T.J. Ibell
539
EXTERNALLY BONDED REINFORCEMENT FOR CONFINEMENT Stress-Strain Relationship for FRP-Confined Concrete Cylinders G. Wu, Z. Lu and Z. Wu
551
Stress-Strain Relationship for FRP-Confined Concrete Prisms G. Wu, Z. Wu and Z. Lu
561
Concrete Cylinders Confined by CFRP Sheets Subjected to Cyclic Axial Compressive Load T. Rousakis, C.S. You, L. De Lorenzis, V. Tamuzs and R. Tepfers
571
Concrete Cylinders Confined by Prestressed CFRP Filament Winding under Axial Compressive Load T. Rousakis, C.S. You, L. De Lorenzis, V. Tamuzs and R. Tepfers
581
Concrete Confined with Fiber Reinforced Cement Based Thin Sheet Composites H.C. Wu and J. Teng
591
XV
Hoop Rupture Strains of FRP Jackets in FRP-Confined Concrete L. Lam and J.G. Teng
601
Externally Confined High Strength Concrete Columns under Eccentric Loading J. Li, M. Moulsdale and M.S.N. Hadi
613
Creep Performance of CFRP Confined Concrete Cylinders M. Theriault, M.A. Pelletier, K. Khayat and G. Al Chami
623
Development/Splice Strength of Steel Bars in Concrete Confined with CFRP Sheets M.H. Harajli and B.S. Hamad
633
Lateral Prestressing of RC Columns with FRP Jackets A.A. Mortazavi, K. Pilakoutas and M.A. Ciupala
643
Confinement of RC Rectangular Columns Using GFRP A. Prota, G. Manfredi and E. Cosenza
653
Behaviour of RC Columns Retrofitted by Fibre Reinforced Polymers under Cyclic Loads H. Shaheen, T. Rakib, Y. Hashem, I. Shaaban and A. Abdelrahman
663
Photogrammetrically Measured Deformations of FRP Wrapped Low Strength Concrete A. Ilki, V. Koc, B. Ergun, M.O. Altan and N. Kumbasar
673
FRP STRUCTURAL SHAPES Rectangular FRP Tubes Filled with Concrete for Beam and Column Applications A.Z. Fam, D.A. Schnerch and S.H. Rizkalla
685
Flexural Behaviour of GFRP-Polymer Concrete Hybrid Structural Systems M.C.S. Ribeiro, A.J.M. Ferreira and A.T. Marques
695
XVI
A New Concept for an FRP Panelized Rapid Deployment Shelter N.M. Bradford and R. Sen
705
Experimental Investigation of Pultruded FRP Section Combined with Concrete Slab A.Biddah
715
VOLUME TWO DURABILITY AND MAINTENANCE Research on Strength and Durability of GFRP Rods for Prestressed Concrete Tendons M. Sugiyama and T. Uomoto
727
Durability of Concrete Beams Reinforced with GFRP Bars under Different Environmental and Loading Conditions K. Laoubi, E.F. ElSalakawy, B. Benmokrane and M. Pigeon
737
Environmental Effects on RC Beams Strengthened with Near Surface Mounted FRP Rods F. Micelli, A. La Tegola and J.J. Myers
749
Synergistic Hydrothermal Effects on Durability of E-Glass Vinylester Composites W. Chu and V.M. Karbhari
759
Durability of GFRP Composites under Tropical Climate Y.S. Liew and K.H. Tan
769
Effects of Different Long-Term Climatic Conditions on FRP Durability P. Labossiere, K.W. Neale and I. Nishizaki
779
XVII
Durability of Aramid and Carbon FRP PC Beams under Natural and Accelerated Exposure H. Nakai, H. Sakai, T. Nishimura and T. Uomoto
785
Effects of Wet Environment on CFRP-Confined Concrete Cylinders F. Micelli, L. De Lorenzis, and A. La Tegola
795
Alkali Aggregate Reactive Mortar Cylinders Partly Restrained by External CFRP Fabric B.J. Wigum
805
ASR Expansion Reduction and Ductility Improvement by CFRP Sheet Wrapping A. Hattori, S. Yamamoto, T. Miyagawa and Y. Kubo
815
Durability of GFRP Rebars in Concrete Beams under Sustained Loads at Severe Environments T.H. Almusallam, Y.A. AlSalloum, S.H. Alsayed and A.M. Alhozaimy
823
Influence of Sustained Stress on the Durability of GFRP Bars Embedded in Concrete V. Dejke, O. Poupard, L.O. Nilsson, R. Tepfers and A. AitMokhtar
833
A Maintenance Strategy for FRP Strengthening Systems P. Desiderio
843
SUSTAINED AND FATIGUE LOADS Viability of using CFRP Laminates to Repair RC Beams Corroded under Sustained Loads T. El Maaddawy and K. Soudki
855
Fatigue Bond of Carbon Fiber Sheets and Concrete in RC Slabs Strengthened by CFRP A. Kobayashi, S. Matsui and M. Kishimoto
865
XVIII
Fatigue Performance of RC Beams Strengthened with CF Sheets Bonded by Inorganic Matrix H. Toutanji, Y. Deng and M. Jia
875
Fatigue Performance of RC Beams Strengthened with Externally Prestressed PBO Fiber Sheets Z. Wu, K. Iwashita, T. Ishikawa, K. Hayashi, N. Hanamori, T. Higuchi, A. Ikeda, T. Takeda, S. Murakami and T. Ichiryu
885
Prestressed CFRP Sheets for Strengthening Reinforced Concrete Structures in Fatigue R. ElHacha, R.G. Wight, P.J. Heffernan and M.A. Erki
895
Fatigue Behaviour of Bridge Deck Specimen Strengthened with Carbon Fiber Polymer Composites J. Sim and H.S. Oh
905
Static and Fatigue Tests on Precracked RC Beams Strengthened with CFRP Sheets Z.Y. Wu, J.L. Clement, J.L. Tailhan, C. Boulay and P. Fakhri
913
Fatigue Investigation of Concrete Bridge Deck Slab Reinforced with GFRP and Steel Strap A.H. Memon, A.A. Mufti and B. Bakht
923
PRESTRESSED FRP REINFORCEMENT AND TENDONS Fatigue of High Strength Concrete Beams Pretensioned with CFRP Tendons B.B. Agyei, J.M. Lees and G.P. Terrasi
935
Transverse Confinement of Deck Slabs by Concrete Straps V. Banthia, A.A. Mufti, D. Svecova and B. Bakht
945
Design of Anchorage Zones for FRP-Prestressed Concrete T.J. Ibell, L. Gale and M.C. Choi
955
XIX
A Simple Continuous System of Shear Reinforcement with Polyacetal Fiber R. Tuladhar, Y. Utsunomiya, Y. Sato and T.Ueda
965
Analytical Modeling of Splitting Bond Failure for NSM FRP Reinforcement in Concrete L. De Lorenzis and A. La Tegola
975
Strengthening of RC Beams with External FRP Tendons: Tendon Stress at Ultimate R.A. Tjandra and K.H. Tan
985
Comparative Analysis on Stress Calculation Methods for External FRP Cables L. An, T. Yamamoto, A. Hattori and T. Migayama
995
Moment Redistribution in Continuous Monolithic and Segmental Concrete Beams Prestressed with External A ramid Tendons A.F. Araujo and G.B. Guimaraes
1003
Experimental Investigation on the Ductility of Beams Prestressed with FRP M.M. Morais and C.J. Burgoyne
1013
Time-Dependent Flexural Crack Width Prediction of Concrete Beams Prestressed with CFRP tendons P.X.W. Zou and S.T. Smith
1023
STRUCTURAL STRENGTHENING Multiscale Reinforcement Concept for Employment of Carbon Fiber Woven Mesh K. Yamada, S. Ishiyama, H. Mihashi and K. Kirikoshi
1037
Woven Composite Fabric to Strengthen Structurally Deficient RC Beams H.Y. Leung, R.V. Balendran and T. Maqsood
1047
XX
Calibration of Partial Safety Coefficients for FRP Strengthening G. Monti and S. Santini
1057
Comparison between FRP Rebar, FRP Grid and Steel Rebar Reinforced Concrete Beams M. Ozel, L.C. Bank, D. Arora, O. Gonenc, D. Gremel, B. Nelson and D. McMonigal
1067
Concrete Beams Strengthened with Pre-Stressed Near Surface Mounted Reinforcement H. Nordin and B. Talj sten
1077
Strengthening of One-Way RC Slabs with Openings using CFRP Systems H.D. Zhao and K.H. Tan
1087
Experimental Results of One-Way RC Slabs with Openings Strengthened with CFRP Composites P. Casadei, T.J. Ibell and A. Nanni
1097
Seismic Behaviour of Reinforced Concrete Beam-Column Joint Strengthened with GFRP Y. Ouyang, X.L. Gu, Y.H. Huang and Z.Z. Qian
1107
FRP Seismic Strengthening of Columns in Frames M.A. Ciupala, K. Pilakoutas and N. Taranu
1117
Retrofitting of Shear Walls Designed to BS8110 for Seismic Loads using FRP K.H. Kong, K.H. Tan and T. Balendra
1127
Strengthening of Interior Slab-Column Connections with CFRP Strips K. Soudki, T. Van Zwol and R. Sherping
1137
Effectiveness of FRP Plate Strengthening on Curved Soffits A.D. Porter, S.R. Denton, A. Nanni and T.J. Ibell
1147
XXI
Strengthening Performance of FRP Sheets Bonded to Concrete Tunnel Linings Z. Wu, W. He, J. Yin, Y. Kojima and T. Asakura
1157
Strengthening of Concrete Structures in Torsion with FRP B.Taljsten
1167
FE Modelling of FRP-Repaired RC Plane Stress Elements N. Khomwan and S.J. Foster
1177
APPLICATIONS IN MASONRY AND STEEL STRUCTURES Blast Resistance of Prototype In-Built Masonry Walls Strengthened with FRP Systems (Honourable Mention) M.K.H. Patoary and K.H. Tan
1189
Retrofit Techniques using Polymers and FRPs for Preventing Injurious Wall Debris J.E. Crawford and K.B. Morrill
1199
Experimental Behaviour of Masonry Panels Strengthened with FRP Sheets G. Marcari, G. Manfredi and M. Pecce
1209
Flexural Strengthening of URM Walls with FRP Systems V. Turco, N. Galati, J.G. Tumialan and A. Nanni
1219
Shear Strengthening of URM Clay Walls with FRP Systems S. Grando, M.R. Valluzzi, J. G. Tumialan and A. Nanni
1229
Effect of FRP Mesh Reinforcement on Shear Capacity and Deformability of Masonry Walls S. Russo, R. Gottardo and D. Codato
1239
Strengthening of Masonry Structures under Compressive Loads by using FRP Strips M.R. Valluzzi, D. Tinazzi and C. Modena
1249
Seismic Behaviour of Masonry Structural Walls Strengthened with CFRP Plates X.L. Gu, Y. Ouyang, W.P. Zhang and F.F. Ye
1259
Advanced Composite Materials for the Repair of Steel Structures A.H. AlSaidy, T.J. Wipf and F.W. Klaiber
1269
FIELD APPLICATIONS AND CASE STUDIES Construction and Evaluation of Full-Scale CFRP Prestressed Concrete DT-Girder N.F. Grace and G. A. Sayed
1281
Flexural Behaviour of Bridge Deck Slabs Reinforced with FRP Composite Bars E.F. ElSalakawy, C. Kassem and B. Benmokrane
1291
Details and Specifications for a Bridge Deck with FRP Framework, Grid and Rebar L.C Bank, M.G. Oliva, J.S. Russell, D.A. Dieter, J.S. Dietsche, R.A. Hill, B. Gallagher, J.W. Carter, S. Woods and A.H. Anderson
1301
Construction, Testing and Monitoring of FRP RC Bridges in North America B. Benmokrane, E.F. ElSalakawy, G. Desgagne and T. Lackey
1311
Strengthening of Concrete Structures with Prestressed and Gradually Anchored CFRP Strips {Best Paper - Application) I. Stoecklin and U. Meier
1321
Strengthening of Concrete Bridges with Carbon Cables and Strips T.Keller
1331
New Corrosion-Free Concrete Bridge Barriers Reinforced with GFRP Composite Bars E.F. ElSalakawy, R. Masmoudi, B. Benmokrane, F. Briere and G. Desgagne
1341
XXIII
Strengthening of Steel Silos with Post-Tensioned CFRP Laminates L. De Lorenzis, F. Micelli and A. La Tegola
1351
Seismic Performance Improvement of the Bell Tower in Serra S. Quirico by Composites E. Cosenza, I. Iervolino and E. Guglielmo
1361
Strengthening with CFRP under Simulated Live Loads A. Hejll, A. Carolin and B. Taljsten
1371
Composite Structural Systems - From Characterization to Field Implementation V.M. Karbhari, H. Guan and L. Zhao
1381
Optimal Cost Design for Beams Prestressed with FRP Tendons I. Balafas and C.J. Burgoyne
1391
FRP in Civil Engineering in China: Research and Applications L.P. Ye, P. Feng, K. Zhang, L. Lin, W.H. Hong, Q.R. Yue, N. Zhang and T. Yang
1401
CODES AND STANDARDS Design Concepts of the New Swiss Code on Externally Bonded Reinforcement T. Vogel and T. Ulaga
1415
Design Guideline for CFRP Strengthening of Concrete Structures B. Taljsten
1425
Design Practice of Framed Building Structure Based on AIJ Design Guideline 2002 K. Kobayashi, H. Fukuyama, T. Fujisaki, S. Fukai and T. Kanakubo
1435
XXIV
Evaluations of Continuous Fiber Reinforced RC Members based on AIJ Design Guildeline 2002 K. Nakano. Y. Matsuzaki., T. Kaku and K. Masuo
1445
Design Procedure of NSM FRP Reinforcement for Strengthening of RC Beams L. De Lorenzis and A. Nanni
1455
Durability and Maintenance
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FRPRCS-6, Singapore, 810 July 2003 Edited by Kiang Hwee Tan ©World Scientific Publishing Company
RESEARCH ON STRENGTH AND DURABILITY OF GFRP RODS FOR PRESTRESSED CONCRETE TENDONS M. SUGIYAMA ARG Development Department, Nippon Electric Glass Co.,Ltd. 906 Ima, Notogawa, Kanzaki, Shiga, Japan T. UOMOTO Institute of Industrial Science, University of Tokyo 4-6-IKomaba, Meguro, Tokyo, Japan Many concrete structures affected by chloride ions have been deteriorated remarkably due to the corrosion of steel bars embedded in concrete structures. This problem occurs not only in Japan but also in other countries. The deterioration of concrete structures located at the coast and bridges spread with deicing salt is a big concern. To deal with the problem of prestressed concrete structures constructed under environment of chloride induced corrosion, many attempts were performed to utilize cathodic protection, epoxy coated reinforcing steel etc. Among many attempts, utilization of fiber reinforced plastics (FRP) was evaluated as a good method to deal with the problem drastically, because it does not corrode in a chloride environment. In Japan, many researches have been performed to utilize FRP rods as concrete reinforcement, especially for prestressed tendons since 1980. Many researches have been reported on strength and durability of FRP rods made of glass fiber, aramid fiber, and carbon fiber. In this study, ultimate goal is that glass fiber reinforced plastics (GFRP) rods are utilized as prestressed concrete tendons. Regarding GFRP rods made of new glass fiber, physical properties and durability were investigated. INTRODUCTION There is a high possibility of the utilization of FRP rods in the field of concrete. They have characteristics such as high strength, high corrosion resistance, light weight and nonmagnetic property. However, in the case of GFRP rods, alkali resistance, cyclic fatigue properties, and static fatigue properties were inferior to AFRP rods, CFRP rods; hence there were many problems in the practical application.
728 FRPRCS-6: Durability and Maintenance In this study, GFRP rods made of conventional glass fiber (T type) and new glass fiber (New type) were used. The strength and durability of GFRP rods were investigated. In particular, cyclic fatigue properties, static fatigue properties to be considered important items in the case of tendons were evaluated. OUTLINE OF EXPERIMENTS The composition of glass fibers (T type, New type) is shown in Table 1. The new type has Ti, Zr in its composition. Also, vinyl ester resin was used as matrix. The properties of resin are shown in Table 2. The tested GFRP rods are round bar, onedimensionally reinforced rods with fiber content of 66% by volume and the rods are 6 mm in diameter, and 40 cm in length. The rods were gripped using two conical steel wedges, which were developed by Kobayashi1^ To ensure sufficient gripping, the ends of rods were coated with a mixture of unsaturated polyester resin and iron powder. Table 1. Composition of glass fibers others
Si02
Al203
MgO
CaO
BaO
Ti02
Zr02
T type
65
24
10
—
—
—
—
1
New type
44
5
4
6
16
10
3
12
Table 2. Properties of resin
Average
Tensile Strength (MPa) 83.2
Elastic Modulus (MPa) 3048
Maximum Strain (%) 5.22
S.D.
1.13
36.3
0.11
C.ofV.
0.014
0.012
0.021
The tensile tests were performed using displacement control type autograph (98kN) at room temperature(20±5°C). The cross head speed of the autograph was kept to 5 mm/min and the number of tests for each case was fixed at 100. The cyclic fatigue tests were performed using load control type servopulser (98kN) at room temperature (20 ± 5 °C). Maximum stress
Strength and Durability of GFRP Rods 729 (upper stress) in the cyclic fatigue tests was set from 30% to 80% of static tensile strength. Stress amplitude was varied as 50, 100, 250, 500 MPa, frequency was set from 1 to 10 Hz and the number of tests for each case was fixed at 8. The static fatigue tests were performed using load control type servopulser (98kN) at room temperature (20±5°C). Sustained tensile load in the static fatigue tests was set from 70% to 95% of static tensile strength. The number of tests for each case was fixed at 8. EXPERIMENTAL RESULTS AND DISCUSSION Tensile tests Table 3 shows the average, standard deviation (S.D.), and coefficient of variation (C. of V.) of tensile strength and elastic modulus of GFRP rods. It is clear that the tensile strength of GFRP rods made of New type is low compared with that of GFRP rods made of T type and elastic modulus of the two types is almost the same. Table 3. Properties of GFRP rods Type
T type
New type
Tensile Strength
Average
1735
1192
(MPa)
S.D.
119.6
73.1
C.ofV.
0.069
0.061
Elastic Modulus
Average
59035
58839
(MPa)
S.D.
992
462
C.ofV.
0.017
0.008
Table 4 shows the average, standard deviation (S.D.), coefficient of variation (C. of V.) of tensile strength and elastic modulus of glass fibers. The tensile tests were performed using displacement control type autograph (49N) in accordance with JIS R7601. The cross head speed of the autograph was kept to 2 mm/min and the number of tests for each case was fixed at 50. It is clear from Table 4 that tensile strength of New type is low
730 FRPRCS-6: Durability and Maintenance
compared with that of T type. It is because the New type has low Si content in glass composition compared with T type. Table 4. Properties of glass fibers(monofilament)
Type
T type
New type
Tensile Strength
Average
2460
2044
(MPa)
S.D.
853
497
C.ofV.
0.347
0.243
Elastic Modulus
Average
83780
86091
(MPa)
S.D.
15964
21063
C.ofV.
0.191
0.245
Usually, in the case of composite materials such as FRP, the law of mixtures can be applied as shown in Equation (1), (2). E = EjVf+Em{\ - Vf) a=afVf+am{\-Vj)
(1) (2)
in which E = elastic modulus of rods, Ef= elastic modulus of fiber, Em = elastic modulus of matrix, a = tensile strength of rods, aj = tensile strength of fiber, am = tensile strength of matrix, and Vf = fiber volume fraction. The tensile strength and elastic modulus of matrix are very low compared with those of fiber, hence one can neglect the matrix in the calculation as shown in Equation (3), (4) E = EfVf a ±F ajVf
(3) (4)
Table 5 shows the experimental values and the calculated values for GFRP rods and their ratios. The experimental values are 0.88 to 1.07 that of calculated values; hence, the tensile strength and elastic modulus of GFRP rods can be obtained using the law of mixtures.
Strength and Durability of GFRP Rods 731 Table 5. Comparison of experimental values and calculated values Type
T type
New type
Tensile Strength
Experimental (1)
1735
1192
(MPa)
Calculated (2)
1624
1349
(l)/(2)
1.07
0.88
Elastic Modulus
Experimental (1)
59035
58839
(MPa)
Calculated (2)
55295
56820
( l ) / ( 2 )
1.07
1.04
Cyclic fatigue tests The result of cyclic fatigue test (New type, stress amplitude: lOOMPa) is shown in Figure 1. The number of cycles at fatigue failure varied with the same stress ratio, hence, average number of cycles of 8 specimens was defined as the number of cycles at fatigue failure. 80 70
rf
H. LXJT"
60
2 50
:
hti K
^V-S-lJ
:
;
1 40 H 30 on
,\iJ&iiii
20 10 L_L i i .111-i ill. i ! i;.,! i I i iiii 0 l.E+01 l.E+02 l.E+03 l.E+04 l.E+05 l.E+06 Number of cycles at fatigue failure Figure 1. Result of cyclic fatigue test (New type, stress amplitude: lOOMPa)
732 FRPRCS-6: Durability and Maintenance
Figure 2 shows the relation between the stress amplitude and the number of cycles at fatigue failure of GFRP rods. The maximum stress was set 30%, 50%, 70% of static tensile strength and the stress amplitude varied from 50 MPa to 500 MPa for each condition. The tests were performed up to 4 million cycles. In Figure 2, N30%, N50%, N70% represent 30%, 50%, 70% stress ratio using GFRP rods made of New type respectively, T30%, T50%, T70% represent 30%, 50%, 70% stress ratio using GFRP rods made of T type respectively. As the maximum stress or stress amplitude increases, the number of cycles at fatigue failure reduces. In the case of 30% stress ratio, the number of cycles at fatigue failure is almost same in both rods. However, in the case of 50% and 70% stress ratio, the number of cycles at fatigue failure of GFRP rods made of New type increases compared with that of T type. In particular, in the case of 70% stress ratio, there is a difference of 1 order or more. — • N30% — — • N 5 0 % — * — N 7 0 % O T30% a T50% A T70%
1000
PL,
T3
S 100 D-
B a
in in ,„,™;,
80 C
20 30 40 Time (weeks)
20 30 40 Time (weeks)
(a) "Wet" condition (b) After redrying Figure 2. Effect of Immersion in simulated alkaline solution (CaC03 and Ca(OH)2 in deionized water) on tensile strength
764 FRPRCS-6: Durability and Maintenance A comparison of results due to immersion in the simulated alkali solution (Figure 2) indicates that the decrease in performance is greater than due to immersion in deionized water at the same temperature levels, both in the wet and redried cases. Micrographic examination of the specimens shows that the exposure to the simulated alkali solutions results in a greater level of degradation at the level of the fiber and the interface. It is of interest to compare the effects of the three solutions deionized water, simulated alkali solution, and the concrete leachate on properties at 23°C so as to assess effects that could take place when a FRP composite was embedded in concrete (rebar for example) or constantly in contact with concrete and hence subject to leachate due to moisture migration (as in the case of external strengthening or structural formwork). A comparison of effects in terms of percentage retention of properties is given in Table 2. It can be seen that the exposure to concrete leachate causes the maximum level of degradation emphasizing that the choice of solution used to assess actual field level degradation is important as the conventionally used simulated exposure conditions (deionized water and CaC03 and Ca(OH)2 solution) may not duplicate the actual effects of concrete salts. At the end of the yearlong exposure the percentage recovery between the wet and redried specimens was 7.46%, 3.84% and 6.12%, respectively for the three solutions. It is noted that even at 23°C the composites did not regain a substantial level of their properties after redrying indicating a high level of irreversible damage in this class of composites. Table 2. Comparison of aqueous immersion effects based on solution Time Period of Exposure 5 weeks 10 weeks 15 weeks 20 weeks 30 weeks 50 weeks
Percentage Retention of Tensile Strength Deionized Simulated Concrete Water Alkali Leachate 93.58 90.29 85.15 92.35 86.33 84.17 91.33 83.20 82.45 79.72 88.38 83.18 87.51 76.73 77.73 72.68 60.69 66.35
Percentage Retention of Tensile Modulus Deionized Simulated Concrete Water Alkali Leachate 88.65 89.23 89.77 91.68 92.36 92.77 92.52 86.80 90.61 91.14 91.73 92.74 91.69 91.05 92.63 90.89 90.89 90.29
Since microscopic studies conducted on the tension specimens indicated degradation at the level of the interface it is of significant importance to assess changes in shortbeamshear properties under similar conditions since the tension tests only indicate changes in fiber dominated properties rather than the other properties such as offaxis strength and shear properties
Durability ofE-Glass Vinylester Composites 765
which are significantly affected by changes in the resin state and the interface.
V\
•
^
w>-
^
" •
~23C
.
a
so
\ \ \
.
"~~ .
« \ .
M
X
\
20
1
70
\
30
•\
' " "• " .• .
I
40C
,
-80C
40
-23 C
v
V
-60C
— 10
40C
\ \ \ \
20
30
40
.
-80C
5
Time (Weeks)
Time (Weeks)
(a) Deionized water (b) Alkali solution Figure 3. Effect of Immersion on shortbeamshear strength
Figure 3 provides a comparison of changes in shortbeamshear (sbs) strength for the exposures related to deionized water and the simulated alkali solution. As can be seen the immersion in simulated alkali solution results in greater levels of degradation due to deterioration at the level of the interface and the fiber, in addition to microcracking between fibers coalescing to form a macrocrack. It is of interest to note that insofar as sbs strength is concerned the use of concrete leachate actually results in the least amount of degradation of all three aqueous solutions as shown in Table 3. Table 3. Comparison of aqueous immersion effects based on solution Time Percentage Retention of ShortPeriod of Beam Shear Exposure 15 20 30 50
weeks weeks weeks weeks
Deionized Water 95.91 92.00 90.05 87.12
Simulated Alkali 94.02 91.78 89.22 85.56
Concrete Leachate 96.15 95.35 90.64 88.96
It should be remembered that interlaminar shear strength is affected by the distribution of moisture in a composite. In a sbs test the center plane of the composite specimen develops the highest level of shear stress. Thus
766 FRPRCS-6: Durability and Maintenance
degradation due to moisture absorption is not fully operative at this level until the moisture has diffused to the midplane. Using the calculated rates of diffusion it can be seen that moisture does not penetrate to the center plane till after the 15th week of immersion in deionized water at 23°C. Silvergleit indicated that for glass/epoxy composites immersed in water shear strength initially decreased with increasing water content4. The rate of shear strength reduction was noted to change slope and decrease more slowly over time as moisture uptake reached saturation. It is interesting, however, to note that as shown in Table 4 in the current samples, with the exception of data corresponding to deionized water at 40°C the initial decline in shear strength is greater than that for the interval between 15 weeks and 50 weeks (the 15 week period is theoretically after moisture has reached the midplane). It can also be seen that the initial decline in shear strength increases with increase in temperature. Table 4. Comparison of aqueous immersion effects based on solution Temp. of Slope of Maximum Shear Strength Slope of Maximum Shear Strength Exposn ire Change Between 0-15 weeks Change Between 15-50 weeks Concrete Deionized Simulated Concrete Deionized Simulated CQ Leachate Water Water Alkali Leachate Alkali 0.112 20 0.1179 0.1726 0.1088 0.1045 0.0888 0.1144 NA 40 0.2879 0.3505 0.2838 NA 0.4760 0.4827 NA 0.2618 NA 60 0.2996 0.8412 NA 0.2048 NA 80 0.9165 0.1778
DMTA CHARACTERIZATION As noted previously for longterm response, in ambient temperature cured vinylester composites, there are often simultaneous effects of postcure and leaching/degradation. Whereas the former causes an increase in performance attributes the latter results in a decrease. However, this clarity in differentiation is not seen in reality due to competition between the two. Further, it is known that glass transition temperature can decrease due to moisture uptake and hydrolysis2, whereas it can increase due to both residual cure and the leaching of low molecular weight species. Figure 4 provides a record of the change in glass transition temperature with time under deionized water exposure. Through additional tests such as ICP and FTIR it was determined that the fluctuations are due to competing effects especially of post cure due to elevated temperatures and that the apparent higher levels of Tg attained after immersion in 60°C and 80°C deionized
Durability ofE-Glass Vinylester Composites 767
water is actually due to leaching effects of low molecular weight species. It is noted that the glass transition temperature (determined from the peak of the tan 8 curve) of the material prior to immersion was 148°C. As can be seen the effect of the alkali solution is substantially less than that of deionized water.
95 c e
c•
w\ '
V
V
/
r ''•
V . N. v•
.
>
a
§
90
a
'
s"
v
!
80 C
;
^ y ^
; ! 5 * ;
60 C
\
& 3 85 u ft. 80
\
^S,40C
23 C
20
30
40
Time (Weeks)
50
60
10
20
30
40
50
60
Time (Weeks)
(a) Deionized water (b) Alkali solution Figure 4. Effect of Immersion on glass transition temperature A comparison of the DMTA characteristics for the exposure conditions at 23°C is given in Table 5 and it can be noted that as with the change in sbs strength the alkaline environments have a reduced effect. Table 5. Comparison of aqueous immersion effects based on solution Percentage Retention of Glass Time Percentage Retention of Storage Transition Temperature Period of Modulus at 25 °C Exposure Deionized Simulated Concrete Deionized Simulated Concrete Alkali Leachate Water Water Alkali Leachate 5 weeks 95.65 93.63 117.10 108.55 88.20 100.00 95.55 10 weeks 98.95 95.13 129.06 136.75 104.27 15 weeks 96.67 90.06 243.59 194.02 170.94 93.19 95.25 98.08 105.13 113.68 116.24 94.07 20 weeks 92.56 88.21 102.56 112.82 30 weeks 87.17 99.15 88.11 88.33 50 weeks 78.06 85.47 100.86 94.87
This points to the fact that the alkaline salts in the solution have a greater effect on the fiber and the local fibermatrix interphasial region rather than the matrix itself indicating that degradation is more fiber dominated than resin dominated. While this points out a weakness in the composite in its primary load bearing constituent it also indicates a potential
768 FRPRCS-6: Durability and Maintenance
means of increasing durability through the use of resins that can serve as greater diffusion barriers for the salts causing fiber and fibermatrix interphase level degradation. CONCLUSIONS Mechanisms of degradation are seen to differ substantially based on aqueous solution and although acceleration can be conducted through the use of higher temperature levels this must be conducted with caution since changes in temperature can result in dramatic changes in modes and mechanisms of failure thereby nullifying the primary principles of time temperature superposition for acceleration. The use of timetemperature superposition on the deionized water exposure data provides a conservative estimate of 42% retention of tensile strength after 10 years and 35% retention after 30 years. ACKNOWLEDGMENTS The support by the California Department of Transportation, the California Department of Water Resources, and the National Science Foundation through a CAREER award to the second author is gratefully acknowledged REFERENCES 1. Burrell, P.P., Herzog, D.J. and MacCabe, R.T., "A Study of Permeation Barriers to Prevent in Marine Composites and a Novel Technique for Evaluating Blister Formation," Proceedings of the 42nd Annual SPI Conference, Session 15E, 1987, pp. 15.E: 113. 2. Ghorbel, I. and Valentin, D., "Hydrothermal Effects on the Physico Chemical Properties of Pure and Glass Fiber Reinforced Polyester and Vinylester Resins," Polymer Composites, Vol. 14[4], 1993, pp. 324 334. 3. Karbhari, V.M., Murphy, K. and Zhang, S., "Effect of Concrete Based Alkali Solutins on ShortTerm Durability of EGlass/Vinylester Composites," Journal of Composite Materials, 36[17], 2002, pp. 2101 2121. 4. Silvergleit, M., Macander, A.B., and Cardamone, J.A., "Effect of Long Term Water Immersion on Properties of Graphite/Epoxy Composites," Report MAT7616, DTNSRDC, June 1976.
FRPRCS-6, Singapore, 810 July 2003 Edited by Kiang Hwee Tan ©World Scientific Publishing Company
DURABILITY OF GFRP COMPOSITES UNDER TROPICAL CLIMATE Y. S. LIEW AND K. H. TAN Department of Civil Engineering, National University of Singapore 1 Engineering Drive 2, Singapore 117576 In this study, two types of glass fiber reinforced polymer (GFRP) composites were weathered outdoor and in accelerated weathering chamber to evaluate the durability of the composites under tropical climate. Engineering properties of GFRP laminates were evaluated after 1, 3, 6, 9 and 12 months of outdoor exposure, as well as in accelerated weathering chamber after equivalent exposure times to correlate the effects of two exposure conditions on the composites. In addition, the mechanical properties of GFRP laminates obtained from weathering tests were used to predict the ultimate moment capacity and failure mode of smallscale GFRPstrengthened RC beams which were also exposed under the same conditions. Test results showed that the tensile and bond strength of GFRP laminates decreased with exposure time. The reduction in tensile strength could be due to either a drop in ultimate strain or modulus depending on the type of resin. Failure modes of smallscale GFRPstrengthened beams were affected by exposure to outdoor weather. Such variations were accurately predicted using appropriate mechanical model incorporating weathering test data of the material. INTRODUCTION Externally bonded fiber reinforced polymer (FRP) system, either by wet layup of fiber sheets or adhesive bonding of composite strips/panels, has gained its popularity in structural retrofitting and rehabilitation of deteriorated structures. However, the susceptibility of FRP reinforcement to individual, as well as synergistic effects of ultraviolet (UV) rays, moisture and heat were reported by recent studies.1 The high average annual temperature, humidity and relatively constant UV dosage for tropical countries in equatorial countries like Singapore2 is believed to have detrimental effects on the mechanical performance of the externally bonded FRP composites, which may further affect the performance of FRP strengthened structures. Therefore, the durability of FRP composites under tropical climate is an important issue to be addressed.
770 FRPRCS-6: Durability and Maintenance
In light of this, a durability study was conducted to investigate the effects of local weathering on engineering properties of glass fiber reinforced polymer (GFRP) laminates and GFRPstrengthened beams. Specimens were subjected to both natural and accelerated weathering tests. The reproducibility of accelerated weathering tests was verified and the performance of weathered GFRP laminates was evaluated. The weathering test results of GFRP laminates were then used to predict the changes in failure mode of smallscale GFRPstrengthened beams subjected to the same exposure condition. FAILURE MODE OF GFRP-STRENGTHENED BEAMS With proper anchorage at the sheet cutoff points at beam ends including the use of adequate transverse reinforcement, failure modes of beams strengthened with GFRP laminates can be reduced to (i) compression crushing of concrete, (ii) rupture of GFRP laminates and (iii) debonding of GFRP laminates due to flexural cracks. Referring to Fig. 1, the internal resisting moment of the beam at failure can be calculated as
M = ApspEp(dp -x)+A,e,E,{d,
-x)-A,'e,'E,'(d,'-x)
(1)
where Ap, As and As' = area of GFRP, tensile and compressive steel reinforcement, respectively; Ep, Es and Es' = modulus of GFRP, tensile steel reinforcement and compressive steel reinforcement, respectively; ep, es and ss' = strains in GFRP, tensile steel reinforcement and compressive steel reinforcement, respectively; ds and d/ = distance from the top concrete fiber to the centroid of the tensile steel and compressive steel reinforcement, respectively; x = neutral axis depth, b = beam width, h = beam depth (= distance from the top concrete fiber to the centroid of GFRP). For tensile and compressive steel reinforcement, esEs and ss'Es' are taken to be
A,' •
JpK:T-7' h ds
N.Ar • "
(a) Beam section
(b) Strain distribution
(c) Stress distribution
Figure 1. Stress and strain distribution of a beam section
GFRP Composites under Tropical Climate 771
less than fy and fy', that is, the yield stress of tensile and compressive reinforcement, respectively. The beam moment capacity corresponding to concrete crushing and GFRP rupture can be found by substituting values for sc or sp, that is, EC = ecu for concrete crushing (2) or ep=0.iepu for GFRP rupture (3) where scu and epu are the ultimate compressive strain of concrete and ultimate tensile strain of GFRP laminates respectively, and solving other terms by iteration until the following equilibrium condition is achieved b jfjxjdx + A.'e.'E,1 = AsssEs + ApEpEp
(4)
X
The coefficient of 0.8 in Eq. (3) accounts for the average lower strains of FRP rupturing when bonded to beams compared to strains measured from material tensile test.3 To predict the flexural crack induced debonding, the associated strain in GFRP laminates can be taken as4 P
~e-db- Ep ~ Ep i
tp
(5)
where a - calibration factor, flp = width coefficient, f5L = length coefficient, fc'= concrete cylinder compressive strength, tp = thickness of GFRP laminates. The failure mode and ultimate beam capacity are then determined from the minimum moment capacity of all the three failure modes, that is, Mu = min(Mcc, Mfr, Mdb) where Mcc = moment capacity corresponding to concrete crushing, Mfr = moment capacity corresponding to GFRP rupture and Mas, = moment capacity corresponding to debonding. To predict the timedependent beam capacity, the properties of internal steel reinforcement and concrete are assumed unchanged since the former is protected by concrete while the latter gained most of its strength with good initial curing and is not susceptible to moisture, heat and UV. Therefore, the variation in the failure modes and moment capacity is associated with changes in properties of GFRP laminates. With adequate field or well represented accelerated weathering test data, the timedependent GFRP prosperities of GFRP laminates can be expressed as Q{t) = 4>p(f)P0 (6) where P0 is the initial property (for example, the asreceived material engineering properties), p(t) is the material property variation function and
772 FRPRCS-6: Durability and Maintenance
Q(t) is the predicted property at time t. The property variation function can be derived by regression function of outdoor or accelerated weathering data, that is,
i n\ = I^L
(7a)
fpU
Pit.) where P(t) is the regressed material property function, from either outdoor or accelerated weathering tests, and t0 is the time where no weathering effects have taken place on the material properties. If regression is obtained from accelerated test data with a factor of ka, then Eq. (7a) becomes *P(/k) A(f) = LLL. (7b) p *P(0 where *P is the regressed material property function based on accelerated weathering tests. With the above considerations, the beam capacity and failure mode after a period of weathering can be estimated from Eq. (1) by incorporating Eq. (7), with Eq. (2), (3) and (5) taking the form concrete crushing (at age t): sc (t) = scu (8a) (8b) GFRP rupture (at age t): ep(t) = (j)e __ (t) epu GFRP debonding (at age t): ep(t) = 0e
M
(t) spdb
and the modulus of GFRP laminates in Eq. (1) taken as EJt)=tE (t)Ep
(8c) (9)
TEST PROGRAM Tropical Climate and Accelerated Weathering Chamber Table 1 shows summarizes the past 11 years (19871997) of meteorological data of Singapore. Based on this, an accelerated test chamber was designed by intensify the UVA irradiance to six times that of outdoor, while maintaining the proportion of light/dark, wet/dry period, as well as relative humidity (RH) level. GFRP Tensile Coupon Two EGlass composite systems, denoted as Gl and G2, with different fiber weaving configurations and resin systems, were studied. Their properties are shown in Table 2. Tensile coupons, as shown in Fig. 2(a), were fabricated in accordance with JSCEE5412000.5 The
GFRP Composites under Tropical Climate 773 Table 1. Average of Singapore outdoor weathering factors (19871997) Weathering Factor Solar Irradiance (m Wh/cm2) Precipitation (mm) Temperature
Relative Humidity (%) Sunshine Rainfall
Yearly
Monthly
Daily
Mean
—
13875.90
462.53
Mean
2044.80
170.40
—
Average Max Min Average Max Min Total hours % Total days %
—
27.47 33.50 23.40 83.11 98.70 54.10 —
223.54 61
5.6 23 —
Table 2. Properties of Fiber sheets and Resins ' Gl E-Glass Unidirectional roving Tensile strength (MPa) 1700 Elastic modulus (Gpa) 71 Ultimate strain (%) 2.0 Two part, 100% Type Resin solid, low viscosity aminecured epoxy Tensile strength (MPa) 54 Elastic modulus (Gpa) 3.00 Ultimate strain (%) 2.5 " Based on manufacturers' product specifications Fiber
Type Tow sheet form
G2 E~Glass Bidirectional woven roving 130 11 1.25 Orthophthalic unsaturated polyester 30 0.67 4.4
774 FRPRCS-6: Durability and Maintenance
coupons were allowed to cure in the laboratory for at least 2 weeks before being subjected to both outdoor and accelerated weathering. All the coupons were tested after 0, 1, 3, 6, 9, 12 months for outdoor weathering and after 5, 15, 30, 45, 60 days in the case of accelerated weathering. GFRP-Concrete Plates The bond strength of GFRP reinforcement was evaluated by using pull apart concrete plates bonded with GFRP laminates, as shown in Fig. 2(b). The average compressive cube strength of the hosting plates was around 40 MPa. All the bonded plates were cast, bonded and cured at least 2 weeks in laboratory and subjected to accelerated weathering and tested at 0, 1 week, and 1, 3 and 6 months. GFRPstrengthened Beams Smallscale reinforced concrete beams bonded with Gl and G2 (as shown in. Fig. 2(c)) were fabricated and exposed outdoor and in the weathering chamber, and tested after 0, 1, 3, 6, 9, and 12 months of exposure.
Lateral View Section AA (c) Schematic view of GFRPstrengthened RC beam Figure 2. Types of specimen for weathering tests
TEST RESULTS AND DISCUSSION Preliminary results up to 6 months have been obtained and are presented herein.
GFRP Composites under Tropical Climate 775 Reproducibility of Outdoor Weathering Effects Fig. 3(a) shows the measured temperatures and relative humidity (RH) for outdoor condition and in the accelerated weathering chamber at different time scale, in which 1 day in chamber is being compared to 6 days outdoors. The observed outdoor temperature and RH were well reproduced in the chamber while the UVA intensity was kept 6 times that of outdoors. Fig. 3(b) shows the regressed ultimate strain and elastics modulus for both outdoor and chamberexposed Gl tensile coupons on logarithmic time scales, that is 1 to 180 days for outdoor and 1 to 30 days for chamber. It is also obvious that both the outdoor and chamberweathered coupons exhibited the same trend in their property variations. Chamber Elapsed Time 8 hrs
16 hrs
21Jul'02 12:00pm
24 hrs
23Jul'02 12:00pm
Outdoor Elapsed Time
(a) Temperature and RH Logarithmic chamber age, ln[ t ] (day) 1.00 O
3.
2.72
7.39
20.09
20
W 15
Outdoor Chamber 1.00
2.72
strain modulus strain modulus 7.39
• © a A-
test test test test -~.o» ""I ' ' 20.09 54.60
148.41
Logarithmic outdoor age, ln[ t ] (day)
(b) Properties of Gl Figure 3. Comparison of outdoors and accelerated effects on specimens
776 FRPRCS-6: Durability and Maintenance
Tropical Climatic Effects on GFRP Tensile Properties For all the virgin and weathered specimens, Gl tensile coupons typically ruptured with longitudinal splits between unidirectional fiber roving whereas G2 coupons ruptured with cracks perpendicular to direction of tensile load. The ultimate strain and modulus variation of Gl and G2 specimens after outdoor weathering are depicted in Figs. 4(a) and 4(b), respectively. Under the same exposure condition, the variations were different for composites with different resins. The ultimate strain of Gl decreased significantly more than the modulus. However, the decrease in ultimate strain in G2 specimens was relatively small compared to the decrease in modulus. The ultimate strength of both Gl and G2 composites decreased as a result of outdoor exposure. Reduction in ultimate strain after environmental exposure was also observed in other durability tests conducted on GFRP composites.6 By plotting the product of regressed strain and modulus, spu(t)Ep(t), in Fig. 4(c), it is seen that the product matches well with the regressed ultimate stress for both composites. This implies that the strength reduction in weathered composites could be due to either loss in ultimate strain (embitterment) or modulus, or both, depending on the composite constituents. Accelerated Weathering Effects on GFRP-concrete Bond The GFRPconcrete interfacial bond strength after 6 months in chamber, which is believed to be equivalent to that of 3 years outdoors, is depicted in Fig. 4(d). The initial bond strength was governed by the type of resin matrix used. However, both types of composites bond strength decreased at the same rate throughout the accelerated weathering period. Prediction and Test Result of' GFRP-strengthened Beams Material property variation functions (s ^ (t), 25,8 25,4
Average 41,1 35,4 31,8 41,1 32,4 31,3 35,0 31,7 29,3
(a), (b), (c) Same superscript indicates same set of five specimens
The evolution of shear strength shows more consistency than that of tensile strength; Table 2 indicates that it diminished consistently for all
784 FRPRCS-6: Durability and Maintenance
series of specimens. Once again, the coating does not appear to exert a positive effect on the properties of the specimens. CONCLUSIONS The outline of a longterm project aimed at measuring the longterm properties of CFRP laminates was presented. Initial results show that climatic conditions actually have an adverse effect on the product properties. ACKNOWLEDGMENTS This research program benefits from the longterm funding of the following sources which are gratefully acknowledged: the Natural Sciences and Engineering Research Council of Canada (NSERC) through the ISIS Canada Network of Centres of Excellence for the Canadian coauthors; the Public Works Research Institute of Japan for the Japanese coauthor. The sabbatical stay of Professor Labossiere in Japan was financially supported by the Japan Science Foundation: this invaluable contribution to the establishment of a longterm international collaboration is gratefully acknowledged. In addition, the authors wish to thank Mr. Marc Demers and Mr. Iwao Sasaki for their technical advice and their support in the maintenance of the exposure sites.
REFERENCES 1. Mufti, A.A., Labossiere, P., Neale, K.W., "Recent Bridge Applications of FRPs in Canada," Structural Engineering Int., 12(2), 2002, 9698. 2. Labossiere, P., Neale, K.W., Rochette, P., Demers, M., Lamothe, P., Lapierre, P., and Desgagne, G., "FRP Strengthening of the SteEmelie de1'Energie Bridge: Design, Instrumentation and Field Testing," Canadian Journal of Civil Engineering, 27(5), 2000, 916927. 3. Japan Society of Civil Engineers, "Code for Repair and Strengthening of Concrete Structures Using Continuous Fiber Sheet, Concrete Library no. 101, July 2000 (in Japanese). 4. ISIS Canada, "Strengthening Reinforced Concrete Structures with ExternallyBonded Fibre Reinforced Polymers (FRPs)," Design Manual #4, Winnipeg, Manitoba, 2001.
FRPRCS-6, Singapore, 810 July 2003 Edited by Kiang Hwee Tan ©World Scientific Publishing Company
DURABILITY OF ARAMID AND CARBON FRP PC BEAMS UNDER NATURAL AND ACCELERATED EXPOSURE H. NAKAI Manager, Sumitomo Construction Co., Ltd. 13-4 Araki-cho Shinjyuku-ku, Tokyo 162-5788, Japan H. SAKAI Chief Engineer, P.S. Corporation Otuka-bld. 3F, 1-3-17 Kita-otuka, Tosima-ku, Tokyo 170-0004, Japan T. NISHIMURA Technician, IIS, The University of Tokyo 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan T. UOMOTO Professor, The University of Tokyo, Japan In an effort to better understand the durability characteristics of fiber reinforced polymer (FRP) bar in severe environment, a longterm study has been undertaken using tendons made of aramid and carbon fibers, in pretensioned concrete (PC) beams. Reference beams have also been cast using normal steel reinforcement. The results obtained after 3 years of exposure show that there is no noticeable deterioration in the FRP reinforced specimens, though some differences are found in the flexural behavior of specimens that use steel strands as reinforcement. INTRODUCTION Fiber reinforced polymer (FRP) bars have attracted a lot of interest as an alternative reinforcement material for concrete structures, due to their high strength, light weight, nonmagnetic nature and corrosionfree properties. Since 1988, FRP bar has been used in over 180 structures throughout Japan1, and no reports of degradation in any of these structures has been reported. Also, in largescale exposure tests undertaken by the government, academic institutions and the private sectors, no degradation has been reported 2. However, it has been pointed out that the bond between FRP and concrete could be a potential problem due to the difference between the thermal
786
FRPRCS-6: Durability and
Maintenance
expansion coefficient of FRP and that of concrete; and secondly, the fact that organic fibers are hygroscopic3. The objective of this study is to better understand the degradation over time of pretensioned concrete beams (reinforced with FRP or steel) subjected to repeated drying/wetting cycles and variations in temperature. Exposure tests were carried out in two environments (a) a natural outdoor exposure test at two sites: one in the splash zone, and the other inland, and, (b) accelerated test, where the beams were stored in a tank with a controlled temperature and saturation regime. This paper reports the results after about 40 months of exposure tests, though specimens have been prepared with a 15year test program in mind. THE PARAMETER OF EXPOSURE The parameters of this study are the type of tendon material, the exposure test method and exposure time. The extent of degradation was assessed through static testing at the end of the exposure period, fatigue tests in some cases to study any changes in the bond between the tendon and the concrete, observation of the FRP tendons using an electron microscope, and observation of the onset of rusting in the case of steel reinforcement. In the natural outdoor exposure test (N series), the exposure locations were splash zone (I) and inland (T), the tendon materials were aramid FRP (A), carbon FRP (C) and steel (S). A total of 24 beams were used. In the accelerated exposure test (A series), the tendon materials were (A), (C) and (S), with 5, 5, and 3 beams, respectively, making a total of 13 beams. '
fable 1. Parameter of exposure ; Destru 40 2nd Fatigue Micro [ ReQuanInitial Name of specimen : months loading [loading ctiv e : loading test scope ' exposure ; tity [exposure yes yes yes 3 N[A,C,S]Control yes 6 N[I,T][A,C,S]1 yes yes ; yes )yes *' yes N[I,T][A,C,S][2,3] ! yes yes yes 12 NT[A,C,S]4 yes yes yes yes yes 3/24 i A[A,C,SJControl yes 3 ; yes yes 3 yes yes A[A,C,S]1 : yes yes *' ] yes yes A[A,C,SJ[2,3,4] yes yes 7* 3 /13 Initial letter designates type of exposure: N = N a t u r a l ; A = Accelerated. [I,T] designates exposure site: I = Splash zone on t h e Izu P e n i n s u l a ; T = I n l a n d site at Chiba Prefecture. [A,C,S] describes the tendon: A = A r a m i d ; C = Carbon; S = Steel. * 1 : without Steel tendon ;* 2: with steel tendon specimen j * 3 : S h a s 2 o n l y
Durability ofAramid and Carbon FRP PC Beams
787
Materials Table 2 shows the properties of the materials used as tendons. The aramid FRP was Technora®; the carbon FRP was CFCC®; and the steel tendon material was steel wire strand. Whereas the coefficient of thermal expansion of steel is about the same as that of concrete, that of the FRPs is about zero, or even negative in some cases. Comparing the Young's modulus of the tendon materials reveals a ratio of 1:2:4 for aramid, carbon and steel, respectively. Table 3 shows the mix proportions of the concrete used the proportions were chosen so that the concrete has a strength of 35 N/mm2 at an age of 12 hours with steam curing, and had a W/C ratio of 0.372. Table 4 shows the compressive strengths of concrete at the different ages. It is apparent that the compressive strength of the concrete increases substantially over time compared with the initial values. Creep and drying shrinkage measurements were also carried out using the inland exposed beams in the N series. Figure 1 shows the shrinkage strain observed. At an age of 44 months after prestressing (when the tests were carried out for the series of results reported in this paper), a shrinkage strain of about 0.08% was observed. Table 2. Properties of tendons and reinforcements Material
Aramid
cross section (mm 2)
Nominal
capacity
area
Tensile Capacity
(kN) (kN)
Young's modulus (kN/mm Elongation
Rebar
CFCC
SWPR-7A
SWM-P
failure* strains load strains '""''W (micro)'' (kN) (micro)*
no-preslressed PFS (2 layers)
12
87
119
25%-prestressed
30
121
141
36
112
132
PFS (2 layers) 33%-prestressed PFS (2 layers) no-prestressed PFS (2 layers) ; 25%-prestressed PFS (2 layers) 25%-prestressed PFS (2 layers) 33%-prestressed PFS (2 layers) 33%-prestressed: PFS (2 layers)
RCF0 59.5 RCF25 64.0(1) RCF25 76.8(1) RCF33 55.2 RCF33 66.0 RCF25 25%-prestressed 64.0(2) PFS (2 layers) RCF25 76.8(2) 25%-prestressed PFS (2 layers)
59.5 64.0 76.8 55.2 66.0 64.0 76.8
1250 [1271] 1250 [1138] 1500 [1537] 1000 [1008] 1250 [1260] 1250
....El?.?.!].... 1500 [2294]
Failure mode
PFS Debonding PFS Debonding
9904 [4200] 8067 [5544]
13.5
140 [211]
12
94
120
8733
16.0
140(138]
28
141
160
7957 [4200]
16.0
140 [138]
30
152
161
6445 [4200]
15.0
140(160]
36
134
143
15.0
140 [165]
36
121
146
16.0
140(145]
28
120
134
9749 [4200]
16.0
140 [142]
30
136
146
7505 [4200]
6640 [5544] 7910 [5544]
PFS Rupture PFS Debonding PFS Debonding PFS : Debonding PFS Rupture PFS Rupture PFS Debonding :
PFS Debonding
* The values in [ ] show the measured PFS strains at the specimen's midpoint due to upper or lower limit of fatigue loading. ** Under static loading * * * The values in [ ] show the PFS strains due to PFS prestressing and the average PFS strain is average value of 5 gages within the range of equal moment section.
were designed with 0%, 25% and 33% prestress levels of PFS tensile strength. These specimens are initially tested under static loading in fourpoint bending at a loading rate of 2kN/min. Seven specimens reinforced with nonprestressed (one specimens) and, two layers of 25% (four specimens) and 33% (two specimens) prestressed, internal PFS are tested under fatigue loading at a frequency of 2.4Hz. An upper load is set, assuming PFS strains at beam midspan of about 0.0125 (in allprestressing level), 0.015 (in 25%prestressing) and 0.01 (in 33%prestressing) at the first cycle of fatigue loading, and the lower load is set at a strain of 0.0014 in all investigations. The measured PFS strains are shown in Table 2. Where the beam specimens did not fail under 2 million cycles of fatigue load, they are subsequently tested under static loading. Design valuables are displacement, reinforcement bar strain, PFS strain, concrete strain at beam midspan, crack width, number and spacing of cracks as shown in Figure 2. The test temperature is about 2629°C.
890
FRPRCS-6: Sustained and Fatigue Loads
Initiation of crack A 2500 nHtfatioTToT crackl B
EESjuuture.
2000 1500 l< g J E J fl B7JM&>A• M
RCS0 RCS2 • 5 RCS3 • 3 60 20 40 D isplacem ent rfjm ) Figure 3 Static Performance of PFSstrengthened Beams with Different Prestressing Levels
•*
B
5 1000
—B—No.4:RCF059.5 — • — No.5:RCF2564.0 •' No.6:RCF2576.8 1 No,7:RCF3355.2 —A—NO.8RCF3366.0
500
1000000
2000000
Number of cycles
Figure 4 PFS Strain Versus Loading Cycles Relationships
Initiation of 30 25 20
H—No.4:RCF059.5 0 No.5:RCF2564.0 —No.6:RCF2576.8 —I No.7:RCF3355.2 A—No.8:RCF3366.0
15 10 5 0& 0
ration of crack) Initiation! rackB 1000000 Number of Cycles
2000000
Figure 5 Displacement Versus Loading Cycles Relationships
0.35 0.3 0.25 0.2 0.15 0.1 0.05 0
ckB
No.4:RCF059.5 No.5:RCF2564.0 No.6:RCF2576.8 No.7:RCF3355,2 No.8:RCF3366.0
1000000
2000000
Number of Cycles
Figure 6 Crack Width Versus Loading Cycles Relationships
EXPERIMENTAL RESULTS Typical data of the experimental results are summarized in Table 2 and the load versus midspan deflection curves under static loading is shown in Figure 3. Specimens RCS0 and RCS25 exhibited debonding failure of the PFS, which initiated from a flexural crack within the beam midspan region. Only specimen RCS33 showed a tensile rupture of the PFS at beam midspan. The ultimate load of the RCS25 is about 18.5% higher than RCS0, and cracking load and yielding load of reinforcing bars major increases due to prestressing of the internal PFS. However, comparing RCS33 with RCS25, ultimate load does not increase although prestress of internal of PFS is larger. It is considered to be due to a premature PFS rupture in RCS33. Under fatigue load, the relationships of displacement,
RC Beams with Externally Prestressed PBO Fiber Sheets 891 i \ > i
i
1
/
\\
\ \ / , \ \\ (c) No.3RCS33
1
Crack A
/ C r a c k B
V\\ 11
*
K\ IX
!
x
n\ \\
Wtittf
\
(f) No.6 RCF2576.8 Crack B
Crack B Crack A Crack B \
\
(d) No.4 RCS059.5 Crack B Crack A Crack B r^cKBiracKA crack a
f A\< Ah (e) No.5 RCF2564.0 \
(
f 1 1/ {\
(b) No.2RCS25 Crack B Crack A
(a) No.l RCS0 i i
1 \
irr A#\ \ III tTlll
tS&
(g) No.7 RCF3355.2 (h) No.8 RCF3366.0 Figure 7 Cracking Distributions before Yielding of Reinforcing Bars
PFS rupture
RCF2564.0(2) RCS25
12000
150
2)
10000 8000
100
' \.J/
PFS debonding
W"' AB RR CC FF 20 5 5 694. 5 . 0
50
—©RCF3366.0
0 0
i
i
20
40
6000' X0%prestressedPFS strengthened beam s
4000 m 2000
0 Displacement (mm)
D25%prestressedPFS strengthened beam s 50
U p p e r L i m j t o f F a t i g u e L o a d i n g
100 ( k N )
Figure 8 Fatigue Performance of Figure 9 Relationship of PFS Strain at PFSstrengthened Beams with Failure under Following Static Loading Different Prestressing Levels Versus Maximum Fatigue Loading PFS strain and crack width at beam midspan versus number of cycles are shown in Figures 46, and the crack patterns before steel bar yielding are shown in Figure 7, where crack A indicates cracks occurring in 01 million cycles and crack B those in 12 millions cycles. Midspan displacements appear to increase temporarily with increasing number of cycles in all strengthened beam specimens. However, PFS strain and crack width rapidly decreased when new cracks occurred under fatigue loading. All strengthened beam specimens did not fail under 2 million cycles of
892 FRPRCS-6: Sustained and Fatigue Loads
Concrete surface debondins 5 Omni
(a) No.2 RCS25 (b) No.5 RCF2564.0 (c) No.6 RCF-25-76.8 Figure 10 Photos of Concrete Surface after Debonding Failure
Nonfatigue specimens are stiffer than Fatigue specimens 180 j^~»»——— pFSndebonding i M i n g 160 140 _ „ _ _ A.EES..debQiKiing... 140 120 120 100 80 60 RCF2564.0(l) RCS0 40 RCF2576.8 (L) RCF2564.0G) 20 RCF059. • 5 RCF-25-76.8 C) 0 20 40 0 80 20 40 60 Displacement (mm) Displacement (mm) Figure 11 Fatigue Performance of Figure 12 Fatigue Performances of 25% noprestressing PFS strengthened prestressing PFS Strengthened Beams with Beams Different Upper Limit of Fatigue Loading
loading and were subsequently tested under static loading. The relationships of load versus beam midspan deflection under static load are shown in Figure 8. Compared with result of static test in Figure 3, ultimate load and steel yielding load of fatigue'damaged specimens are the same or higher than nofatigue damaged specimens. The relationship between PFS strain at failure under static loading and the upper limit of fatigue loading is shown in Figure 9. The average PFS strain at beam midspan at failure appears to decrease linearly with increasing upper limit of fatigue loading. Appearence of the concrete surface after PFRP sheets debonding and cracking patterns are shown in Figure 10. The cover concrete debonded with PFRP sheets, and the depth is about 50mm in RC825, about 2mm by 40mm width in RCP2564.0 and about 2mm in RCF2576.8. These depths decrease linearly with increasing upper limit of fatigue load. It is considered that PFSconcrete interface is damaged
RC Beams with Externally Prestressed PBO Fiber Sheets 893
150 130 110 90 70 50 30 10 10
Hcrackhg hsiie of state badhg before fatigue badhg EDcrackhg hsiie offatgue badhg RCF2576.8©
PES rupture
riifc^l
RCF2564.00
[fir
RCF3366.0
if
RCF3355.2
* R C S 3 3 —1— RCF3355.2 A R C F 3 3 6 6 . 0
RCF2576.8 RCF2564.0
\
60 20 40 D ispfecem ent rfjm ) Figure 13 Fatigue Performances of 33%Prestressing PFS Strengthened Beams with Different Upper Limit of Fatigue Loading 0
ra ••
m
RCF059.5 RCS33 RCS25 RCS0 5 10 Numberof crack
15
Figure 14 Comparison of Crack Number among Different Specimens before The Yielding Steel Reinforcement
Table 3 Crack Spacing No.
!
Specimens
Crac k spacing after 2 millions of eye les of fatigue loading (mm)
1
RCS0
84
static
loading
2
RCS25
84.5
static
loading
79
static
I 3 •'•
;
C rack spacing at first cycle of fatigue loading (mm)
4
5 6 7 : 8
RCS33 RCF059.5 ! RCF2564.0 ! RCF2576.8 ; RCF3355.2 RCF3366.0
90.0 88.9 110.0 83.8 88.0
loading 80.8 68.5 83.3 70.8 86.4
according to the fatigue load. Figures 11 to 13 show the load versus deflection relations at beam midspan for each prestressing level. It is found that the loadcarrying characteristics both for the yielding load of reinforcing bars and ultimate load increase due to the additional cracking occurring under fatigue loading. Moreover, it also alters some other characteristics such as stiffness. Comparison of number of cracks among different specimens is shown in Figure 14 and crack spacing is shown in Table 3. Crack number is increased and crack spacing decreased linearly with increasing loading cycles.
894 FRPRCS-6: Sustained and Fatigue Loads
CONCLUSIONS Based on the results of this experimental investigation, the following conclusions can be obtained: (a) It is shown that RC beam strengthened with prestressed PFS following the PPUT method exhibits satisfactory fatigue performance. (b) The capacity of PFSconcrete interface generally weaker with an increase in the upper limit of fatigue load; however, the interfacial performance of beams strengthened with prestressed PFS is the same as those of beams strengthened with noprestressed PFS. (c) The loadcarrying characteristics in terms of the yield load and ultimate load increase due to the additional cracking occurring under fatigue loading. Moreover, it alters some other characteristics such as stiffness.
REFERENCES 1. Wight R.G., and Erki M.A., Prestressed CFRP Sheets for Strengthening Concrete Slabs in Fatigue, International Conference on FRP Composites in Civil Engineering, Hong Kong, pp. 10931100, 2001. 2. T.C. Triantafillou and Deskovic N., Innovative prestressing with FRP sheets, Mechanics of short-term behavior, Journal of Engineering Mechanics, ASCE, Vol. 117, No.7, pp. 16531672, 1991. 3. EIHacha R., Wight G., and Green. M.F., Strengthening Concrete Beams with Prestressed Fiber Reinforced Polymer Sheets:Behavior at Room and Low, Fourth International Symposium Fiber Reinforced Polymer Reinforcement for Reinforced Concrete Structures, ACI, SP188, pp.737749,2000. 4. Wu Z.S., Matsuzaki T. Fukuzawa K.and Kanda T, Strengthening Effects on RC Beams with Externally Prestressed Carbon Fiber Sheets, Journal of Material, Concrete Structures and Pavements, JSCE, pp. 153165, 2000. 5. Wu Z.S., Iwashita K., Hayashi K., Higuchi T, Murakami S., Koseki Y, Strengthening PC structures with externally prestressed PBO fiber sheets, International Conference on FRP Composites in Civil Engineering, Hong Kong, pp. 10851092, 2001. 6. Wu Z.S., Iwashita K., Hayashi K., Higuchi T, Murakami S., Koseki Y., Strengthening Method for RC structures with externally prestressed PBO fiber sheets, Journal of The Japan Society for Composite Materials, Vol.28, No.4, pp.146155, 2002.
FRPRCS-6, Singapore, 810 July 2003 Edited by Kiang Hwee Tan ©World Scientific Publishing Company
PRESTRESSED CFRP SHEETS FOR STRENGTHENING REINFORCED CONCRETE STRUCTURES IN FATIGUE R. ELHACHA, R.G. WIGHT, P.J. HEFFERNAN AND M.A. ERKI Department of Civil Engineering, Royal Military College of Canada P.O. Box 17,000 Station Forces, Kingston, ON, K7K 7B4 CANADA Strengthening with externally bonded prestressed carbon fibre reinforced polymer (CFRP) sheets combines the benefits of excellent durability and structural improvement in terms of serviceability and ultimate conditions. The addition of CFRP sheets to the tension surface of a beam or slab reduces the stresses in the steel and this can dramatically improve the fatigue life of the specimens. By prestressing the sheets, stresses are further reduced and can result in even greater increases in fatigue life. During the initial stages of this research program, three oneway slabs and three largescale reinforced concrete Tbeams were constructed and tested to investigate the effectiveness of using prestressed CFRP sheets to strengthen concrete beams subjected to fatigue loading. The loading applied was very severe with an amplitude of loading from a small preload to a load from 90100% of the yield load of the steel reinforcement. For both the beams and the slabs, one specimen was unstrengthened and used as a control, the second specimen was strengthened with nonprestressed CFRP sheets, and the third specimen was strengthened with prestressed CFRP sheets tensioned to approximately 30% of their ultimate tensile strength. An anchorage system was developed to directly prestress the CFRP sheets against anchors mounted of the strengthened structure itself. The testing program for the slabs confirmed the benefits of prestressing the CFRP sheets and the practicality of the prestressing technique used. The prestressed sheets bonded to the lower surface of the beam relieved the stresses present in the internal reinforcing steel and were much more effective at extending the fatigue life, increasing the strength and improving the serviceability of the beams than nonprestressed sheets. For the T beams however, the details of the anchorage were such that a failure at the anchor location caused a premature failure of the strengthening system and the benefits of prestressing were less significant. Similar anchors had performed very well under static loading. It is clear that caution must be exercised when designing prestressing anchors if the structure will be subjected to very severe loading.
896 FRPRCS-6: Sustained and Fatigue Loads
INTRODUCTION Nonprestressed FRP sheets bonded to the tension face of an understrength or structurally damaged concrete member supplement the flexural reinforcement of the deficient member. Studies have shown that the flexural strength under service load was improved slightly and the ultimate strength was significantly increased. However, only a portion of the strength of the FRP sheets is effective in nonprestressed strengthening applications. To improve the efficiency of this strengthening technique, the sheets may be prestressed prior to bonding. This strengthening technique offers the benefits of both a prestressed system that contributes to load carrying capacity even before further deformation occurs in the structure, and a bonded system that sustains a significant portion of the load under further deformations. Prestressed FRP sheets can improve the serviceability of the beam by limiting deflection and providing excellent control of cracks, and can restore prestress to a system that has suffered a loss of internal prestressing. The benefits and advantages associated with prestressed FRP sheets have been discussed by ElHacha et al., (2001). There is very little research into the use of prestressed FRP sheets for strengthening beams and slabs. Generally, researchers found that failure was due to fracture of the internal reinforcing steel, the fatigue life was increased and the deflections were decreased2'3,4,5'6. Research into the fatigue behaviour of members strengthened with prestressed FRP sheets is also limited. A fatigue test was carried out at EMPA with the CFRP plate prestressed to 50% of its strength. Thirty million cycles were performed without any evidence of damage to either the concrete or the CFRP plate7. Wight and Erki (2001) found that the prestressed sheets were much more effective at extending the fatigue life of the reinforced concrete slabs than nonprestressed sheets. OBJECTIVES This investigation is part of a large experimental/analytical project studying the fatigue behaviour of concrete beams and slabs strengthened with bonded nonprestressed and prestressed CFRP sheets. Only the effectiveness of CFRP sheets when used to strengthen, in flexure, simply supported reinforced concrete Tbeams is reported in this paper and will be compared with the results of the oneway reinforced concrete slabs. A new mechanical anchorage system has been developed as part of this study and used to directly prestress the CFRP sheets by jacking and reacting against anchors mounted on the web of the strengthened beam itself.
Prestressed CFRP Sheets for RC Concrete Structures 897
EXPERIMENTAL PROGRAM Specimen Details, Test Set-Up and Strengthening Materials The experimental program consisted of testing, simply supported, three 4.0 m reinforced concrete Tbeams, and three 3.0 m oneway reinforced concrete slabs (90mm x 1000mm) under fourpoint loading. In each group, one specimen was unstrengthened and used as control, the second specimen was strengthened with nonprestressed CFRP sheets, and the third specimen was strengthened with prestressed CFRP sheets. The specimens were tested to failure 7 days after strengthening. A summary of these specimens is given in Table 1. The 28day compressive strength of the concrete was 40MPa. The test setup of a Tbeam specimen, reinforcement details and strengthening schemes are shown in Figure 1. The total load was applied to the specimen using a 500kN capacity actuator through an MTS controller testing machine operating under loadcontrol mode. The specimens were initially loaded to 5kN to ensure stability before starting the cyclic loading. All fatigue loads were applied at a rate of 2Hz, and data was recorded at every 1000th cycle and 10,000th cycle. The beams were subjected to a cyclic load from 5 to 65kN, and the slabs to a cyclic load from 5 to 55kN. All specimens were fully instrumented. Table 1. Experimental Program
Beam # TBeamC TBeamNP TbeamP2 SF SFN SFP
Type of Strengthening Unstrengthened Control Beam Four layers of NonPrestressed CFRP Sheets Four layers of Prestressed CFRP Sheets Unstrengthened Control Slab Two Strips (two layers each) of NonPrestressed CFRP Sheets Two Strips (two layers each) of Prestressed CFRP Sheets
Strengthening System The FRP system used for strengthening the Tbeams and slabs was the wet layup composite system consists of dry unidirectional high tensile carbon fiber sheet9. According to the manufacturer the sheet had a nominal thickness of 0.165mm/ply, and ultimate tensile strength and tensile modulus of elasticity of the sheets were 3800MPa and 227GPa, respectively. The design strength per unit width was 627N/mm. Details of Tbeam strengthening are given in the following sections and details of slab strengthening are given in Wight and Erki (2001).
898 FRPRCS-6: Sustained and Fatigue Loads 1.0 m
LVDT
-1.55m
1.55m
«-'• - —0.8 m —H^~"
L 2000000
No evident deformation
N„16
54
60%F 0 7 .
150% Fo.7
49
140
266037
Concrete shear failure
N 0 23
58
20% F0.7
112% F0.7
52
180/260
1040582 (stop) (rebar 640002)
1 rebar fracture
N024
58
12%Fo,7
120%F0,7
63
207/274
371571 (rebar 370003)
2rebars fracture
Beams strengthened with carbon sheet
Precracked RC Beams with CFRP Sheets 921
Figure 11. Deflections of strengthened specimens
0
100000 200000 300000 400000 500000 600000 700000 800000 cyclas
Figure 12. Propagation of crack widths in specimen N023 CONCLUSIONS This test study has shown that: (a) The external bonding of CFRP sheets on initially crackdamaged RC structures is an effective method to restore and improve the structural strength and ultimate fatigue life. (b) For beams with a small shear span/beam depth ratio, besides strengthening on tensile surface, additional strengthening in shear is usually necessary under static and fatigue loads. (c) Under static and fatigue loads, CFRP sheet reduces the propagation of cracks because of the bridging effect. On the other hand, the stress redistribution between CFRP sheet and steel reduce reduce the stress range in the steel rebars. (d) The development of strains in steel rebar under fatigue load in beams strengthened with carbon cloth is different from that in unstrengthened beams. (e) The fracture of steel rebar is the main reason for fatigue failure of RC beams strengthened with CFRP sheet. This kind of failure is not sudden:
922 FRPRCS-6: Sustained and Fatigue Loads
after the fracture of the steel rebars, the specimen does not fail completely, (f) The stress range is the principal reason for the fatigue fracture of steel rebars. Morever, the magnitude of crack width affects this fracture significantly. ACKNOWLEDGMENTS This study was supported by DRAST(MEMR) and the CFRP sheets were TFC®, provided by Freyssinet International.
REFERENCES 1. Clement, J.L., Dumas, C. and Belhoul, M., Numercial simulations of RC beams strengthened by carbon cloth. Computational modelling of concrete structures (EUROC1998), de Brost, Bicanic, Mang and Meschke(eds), Balkema, Rotterdam, ISBN 90 54 10 946, pp.741748. 2. Hamelin, P. and Ferrier, E., Etude bibliographique sur les renforcements par materiaux composite de structures du genie civil. Rapport N° LCPC/01/du 27/04/01. 3. Ferrier, E., Naseri, H. and Hamelin, P., Fatigue Behavior of Composite Reinforcement for Concrete Structure. Fourth International Symposium Fiber Reinforced Polymer Reinforcement for Reinforced Concrete Structures. ACI special publication SP188, pp. 535545, 1999. 4. Shahawy, M. and Beitelman, T.E., Fatigue Performance of RC Beams Strengthened by CFRP Laminates. CDCC 98, pp. 169178, 1998. 5. Barnes, R.A. and Mays, G.C., Fatigue Performance of Concrete Beams Strengthened with CFRP Plates. Journal of composite for construction may, 1999 pp.6372. 6. Chollaway, L. and Bleeming, M. Strengthening of Reinforced Concrete Structure Using Externally Bonded FRP Composites in Structure and Civil Engineering . Woodhead publishing england and CRC press USA 2001. 7. Wu, Z.Y., Clement, J.L., Tailhan, J.L., Boulay, C. and Fakhri, P., Fatigue Test on Damaged reinforced Concrete Specimens Strengthened by Carbon Cloth. Proceedings of HPSC2002, Seville Spain 2002, pp. 347355.
FRPRCS-6, Singapore, 810 July 2003 Edited by Kiang Hwee Tan ©World Scientific Publishing Company
FATIGUE INVESTIGATION OF CONCRETE BRIDGE DECK SLAB REINFORCED WITH GFRP AND STEEL STRAP
A. H. MEMON, A. A. MUFTI AND B. BAKHT ISIS Canada, University of Manitoba #A250 Agricultural and Civil Engineering, Winnipeg, MB, R3T2N2, Canada This paper describes the behavior of one segment of the cast in situ full scale model of bridge deck slab reinforced with glass fibre reinforced polymer (GFRP) internally and externally with steel strap. Due to this hybrid GFRP and steel strap, corrosion can be eliminated completely from the deck slab, leading to an economical durable bridge deck system. The model of the deck slab was tested under cyclic loading to investigate the fatigue behavior. The cyclic load was simulating the effect of truck wheel load. From the test results, it was observed that at 25 tones load level, the model deck slab completed 1,000,000 cycles without any damage and this satisfied the serviceability and lifetime number of axles that a bridge deck would experience. The deflection behavior, crack width, strain distribution in GFRP bars and steel straps with the number of cycles are reported. INTRODUCTION The decline in North American infrastructure has never been more prevalent than it is today. In particular, the highway system and its bridges have been adversely affected by age and weathering over the past two decades. Surveys show that the majority of the highway bridges have reinforced concrete decks supported on steel or concrete girders. Concrete has been the choice for highway bridge decks for a long time. Over the years, the weather has taken its toll on these reinforced concrete decks. Rainwater and deicing chemicals applied to roadway surfaces during the winter months have seeped through many concrete decks and caused corrosion of the reinforcing steel. To avoid the corrosion of steel, Mufti et al.1 proposed the concept of a steelfree deck slab entirely free of any internal steel reinforcement. In a steelfree deck slab, steel straps are connected to the top flange of the girder providing lateral restraint, which develops compressive membrane force in the deck slab. In operation, as the bridge deck withstands the stress of the traffic loads, the deck will deform and stresses develop. Eventually the
924 FRPRCS-6: Sustained and Fatigue Loads
loads will reach a magnitude where the tensile stresses will cause the concrete to crack. Once the bridge deck cracks it resists traffic loads through arching action. Such arching action is characterized by compressive membrane action and failure by punching shear. This paper describes a study to replace the steel reinforcement completely from the deck slab with hybrid internal GFRP and external steel strap as an alternative solution to increase the service life of bridges. This study investigates the fatigue behavior of a cast in situ fullscale model of a bridge deck slab. This fullscale model of a deck slab is divided into three segments (A, B and C). Segment A is designed according to the Canadian Highway Bridge Design Code Section 8, while segment B and C are designed according to Section 16 and make use of the principle of a steel free deck slab that is confined transversely by steel straps. In segment B, carbon fibre reinforced polymers (CFRP) are used, while in segment C, GFRP are used to reduce the chances of development of cracks. The test results of segment C, GFRP panel is reported in this paper. During its lifetime, a bridge deck slab is subjected to a very large number of wheels of different magnitudes. By contrast, the laboratory investigation of the fatigue resistance of a bridge deck slab is usually conducted under wheel loads of constant magnitude. The design codes (AASHTO 2 and CHBDC 3 ) are not explicit with respect to the design fatigue loads on deck slabs. An analytical method was developed by Mufti et al.4 for establishing the equivalence between fatigue test loads and a given population of wheel loads. While the method is general enough to be applicable to all deck slabs of concrete construction, it is developed especially for steelfree deck slabs 1,s which are relatively new and do not have a long track record of field performance. In this paper, fatigue behavior of segment C, model of bridge deck slab is reported. EXPERIMENTAL PROGRAM Details of Bridge Deck Slab The fullscale model of bridge deck slab was tested under cyclic loading to investigate fatigue behavior. The model of deck slab consisted of 3.0 m each with overall dimensions of 9.0 x 3.0 mm and a thickness of 175 mm, as shown schematically and before casting in Figures 1(a) and 1(b). The deck slab was cast in situ compositely on two steel girders at a centertocenter spacing of 2.0 m through the use of shear connectors and had a 500 mm long cantilever overhanging beyond the center of the each girder. In the
Concrete Bridge Deck Slab with GFRP and Steel Strap 925
longitudinal direction, (i.e.: parallel to the girders), the deck slab was 9.0 m long. Although cast monolithically, the slab was conceptually divided into three segments, as shown in Figure 1(a). Segment C of the deck slab was reinforced with hybrid GFRP internally and externally with steel strap. GFRP bars with a modulus of elasticity 40.8 GPa and ultimate tensile strength of 690 MPa were used. One GFRP bar with a diameter of 12.7 mm (#4) is spaced at 150 mm in the transverse direction, providing a reinforcing ratio of 0.48% (0.16% per m), and one 12.7 mm (#4) is spaced at 200 mm in the longitudinal direction, providing a reinforcing ratio of 036% (0.12% per m). The steel strap having dimensions 25.4 x 38.1 mm (1" x 1.5") is spaced at 1000 mm in the transverse direction only, providing the reinforcing ratio of 0.55% (0.18% per m). A steel free concrete deck slab of girder bridge derives its strength from an arching action, which is harnessed by both longitudinal, and transverse confinement system, the latter may comprise transverse steel strap connected to the top flange of the girder. To control the temperature and thermal cracking, concrete is mixed with 0.3% chopped polypropylene fibers. The average concrete compressive strength was 57.7 MPa. H-lfflttttlilhTiirtliTfl _L 1 I 1
•
1 M
1 1
y
if
1 InMiHlri-J|J-1J_M^IM
00
-4rnTrTOTtr MM JL N i l hj' M1 Segment A
4
Segment B
00 • iTtfrf l 1 , ,., iJ
Segment C
r
m (12.7 mm) cSa Asian 190 QFRP rsbar @ spacing ef 15C mm In Transvsrs* and 200
Figure I (a), Reinforcement detail or the deck slab
Figure 1(b). Picture of the deck slab showing GFRP
926 FRPRCS-6: Sustained and Fatigue Loads
Instrumentation To Investigate the performance under cyclic loading, the model of the deck slab was monitored through a number of sensors, which included linear variable displacement transducers (LVDTs), strain gauges5 and pigauges. Vertical deflection of the model was measured by LVDTs. In order to measure deflection of the deck slab with respect to girders, the displacement transducers (5 LVDTs) were attached to steel beams resting directly above the center of the girders, as shown in Figure 2.
Figure 2. Test Setup and Instrumentation
The displacement transducers were located at midspan and on all four sides in both the longitudinal and transverse centerline of the model, so that profile of the deflection can be obtained with respect to the increasing number of cycles. In order to monitor the performance of the steel straps, an electrical resistance strain gauge was mounted on the middle of each strap. To monitor internal performance of the deck slab through GFRP bars, an electrical resistance strain gauge was mounted on five transverse and three longitudinal bars at the center and away from the center as shown in Figure 1(b). The purpose of doing this was to get the distribution of strain with respect to the number of cycles. The ultimate goal is to monitor the yielding of the steel strap and rapture of the GFRP bar. Pigauge instruments were used to measure the crack width. To monitor the crack width of the longitudinal crack of the model deck slab, three pigauges were mounted at the bottom surface of deck slab at the center (under the load) and 1.0 m towards West end (near the edge beam) and 1.5 m towards East, as shown in Figure 3. Testing Procedure To understand the fatigue behavior of cast in situ fullscale model of bridge deck slab, cyclic test was conducted at 25 t load. The load was applied
Concrete Bridge Deck Slab with GFRP and Steel Strap 927
through a hydraulic actuator. The load cell has a capacity of 1000 kN. The load was controlled by an MTS controller. For this dynamic test, the load control was selected at 1 Hz frequency. The data was recorded through Data Acquisition System. The deck slab was tested under a central rectangular patch load measuring 610 x 305 mm, with the later dimension being in the longitudinal direction of the deck slab. The test setup is shown in Figure 2.
Figure 3. Bottom View, steel straps and Instrumentation
WHEEL LOADS DATA Commentary Clause C3.6.1.4.2 of the AASHTO 2 Specifications (1998) notes that the Average Daily Traffic (ADT) in a lane is physically limited to 20,000 vehicles, and the maximum fraction of tracks in traffic is 0.20. Thus, the maximum number of trucks per day in one direction (ADTT) is 4,000. When two lanes are available to trucks, the number of trucks per day in a single lane, averaged over the design life, (ADTTSL) is found by multiplying ADTT by 0.85, giving 3,400. It is assumed that the average number of axles per truck is four (a conservative assumption), and that the life of a bridge is 75 years. The maximum number of axles that a bridge deck would experience on one lane during its lifetime is 372 million. Matsui and Tei 6 described the maximum axle load observed in Japan as 32 t, or 314 kN. The close correspondence between the expected annual maximum axle weight in Canada4 and the maximum observed axle load in Japan indicates a similarity between the axle loads in the two countries. Matsui and Tei 6 also provided a histogram of axle weights observed on 12 bridges in Japan. In the absence of data on Canadian tracks, this histogram was used to construct the wheel load statistics, as shown in Table 1.
928 FRPRCS-6: Sustained and Fatigue Loads Table 1. Statistics of wheel loads Wheel Weight (Tons)
1
2
3
Percentage of Total (%)
21.25
32.06
21.61
12.60 6.48 3.24 1.44
0.54
No. of Wheels (million)
79.05
119.3
80.39
46.87 24.1 12.1 5.37
2.01
Wheel Weight (Tons)
9
10
11
12
Percentage of Total (%)
0.32
0.18
0.11
0.07
0.04 0.02 0.01 0.003
No. of Wheels (million)
1.19
0.67
0.41
0.26
0.15 0.07 0.04
4
5
13
6
14
7
15
8
16
0.01
This table also includes the numbers of wheels of various magnitudes, corresponding to a total of 372 million wheel passes. Any fatigue test load on a bridge deck slab should cause the same damage in the slab as the damage caused by all the wheel loads included in this or any similar table. An analytical method was developed by Mufti et al.,4 according to this approach: N2=Nl*e(K>-*>>'3°
(1)
RX=P,/PS
(2)
R2=P2/PS
(3)
with and
Pi and P2 are two different wheel loads; Ni and N2 are the corresponding number of passes of Pi and P2 respectively; while Ps is the static failure load. The ultimate capacity of the deck slab can be predicted by using Punch Program developed by Newhook and Mufti7. The reliability of this program is discussed in Mufti and Newhook 8. Therefore according to the Punch Program, the ultimate capacity of the segment C model deck slab is about 827 kN (84.41). Consider that model deck slab has a static failure load (Ps) of 84.4 t; while Pi, P2 and Ni are 11, 161 and 79.1 million, respectively. By using the equation (1), N2 will be 0.38 million, as shown in Table 2. From this table 2, it is clear that the maximum number of axles that a bridge deck would experience in one lane, during its lifetime, is 372 million. This includes the number of wheels of various magnitudes from 1 t to 161.
Concrete Bridge Deck Slab with GFRP and Steel Strap 929 Table 2. Lifetime number of cycles, equivalent to 161 wheel load Static Load (Ps)
Load (Pi)
No. of Cycles (n1)
Load (P2)
No. of Cycles (n2)
(Tons)
(Tons)
(million)
(Tons)
(million)
84.4
1
79.05
16
0.38
84.4 84.4
2 3 4
119.26 80.39 46.87
16 16 16
0.82 0.79 0.66
84.4
5
24.11
16
0.48
84.4
6
12.05
16
0.34
84.4 84.4
7 8
5.37 2.01
16 16
0.22 0.12
84.4 84.4
9 10
1.19 0.67
16 16
0.10 0.08
84.4 84.4 84.4 84.4
11 12 13 14
0.41 0.26 0.15 0.07
16 16 16 16
0.07 0.06 0.05 0.03
84.4
15
0.04
16
0.03
84.4
16
0.01
16
84.4
Total No. of Cycles @ 16 Tons
0.01
4.25
RESULTS AND DISCUSSION Test results show that at 25 t load level; model deck slab completed 1,000,000 cycles, without any damage. As mentioned earlier, during its lifetime, a bridge deck slab is subjected to 372 million cycles of different magnitudes. By using an analytical approach, which was explained earlier, 372 million cycles are equivalent to 4.25 million cycles of 16 t load, as shown in Table 2. From the experimental results, the deck slab completed 1,000,000 cycles at 25 t, which is equivalent to 4.25 million cycles at a 20.93 t. This can increase the carrying capacity to approximately 30% more. Vertical deflection of the deck slab was measured by displacement transducers. It was observed that maximum deflection was obtained at the center of the deck slab, as shown in Figure 4. From Figure 4, it is clear deflection was increased with increasing number of cycles. It was also found that the maximum deflection is less than the permissible limit. In order to measure the internal and external response of the deck slab, strain gauges were mounted on every strap, GFRP bars in transverse and longitudinal and maximum response was measured under the applied cyclic load, as shown in Figure 5. From Figure 5, it is clear that maximum strain was achieved by GFRP bar in transverse direction, followed by GFRP bar in longitudinal direction and steel strap. All values are lower than the serviceability limit.
930 FRPRCS-6: Sustained and Fatigue Loads
2.S 2.0 -j
I,.. 5
',
s
1.0 LVDT2@Center
0.5
0
200000
400000 600000 800000 No. of Cycles (Nos.)
1000000
1200000
Figure 4. DeflectionNo. of cycles near the applied load
1000 O X Z.
800 600
|
400.
.*-
-'
.
..- ""
200
-
-
-
"
•
"
- - - -Steel Strap — — GFRP-Longitudinal
0
200000
400000 600000 800000 No. of Cycles (Nos.)
1000000
1200000
Figure 5. StrainNo. of Cycles under the applied load A longitudinal crack was observed along the centerline of the deck slab at 20,000 cycles. Few cracks were noticed when the deck slab completed 1,000,000 cycles. To monitor the propagation of the centerline longitudinal crack, a pigauge was mounted at the bottom of the deck slab under the load. The crack width with the increasing number of cycles is shown in Figure 6. From Figure 6, it is clear that crack width increased with the increasing number of cycles and maximum crack width was found less than the permissible limit. From these results it is clear that the maximum deflection of the deck slab, strain in the steel strap, GFRP transverse and longitudinal bars and crack width in the deck slab are within the permissible limits.
Concrete Bridge Deck Slab with GFRP and Steel Strap 931
0.4 -,
I" ack
3
1o
PG2@Under Load
(
200000
400000
600000
800000
1000000
1200000
No. of Cycles (Nos.)
Figure 6. Crack widthNo. of cycles under the applied load
CONCLUSIONS Based on the analysis and findings of this investigation, the following conclusions can be drawn: (a) The presence of GFRP bars in the deck slab reduced the chances of development of cracks. (b) The concrete deck slab reinforced with hybrid GFRP and steel strap completely eliminate the corrosion of the deck slab. (c) Test results show that GFRP bar in transverse direction reached maximum strain under load of about 0.12%, which is 60% of the service strain, hence area of the GFRP bar in transverse direction can be reduced up to 40%. (d) Experimental results show that fatigue damage induced at 25 t, are within permissible limits. (e) Analytical results show that during the bridge deck's lifetime, it is subjected to 372 million cycles of different magnitudes, which are equivalent to about 4.25 million cycles of a 161 wheel load. (f) Experimental results show that, 1,000,000 cycles at 25 t, equivalent to 4.25 million cycles of a 20.93 t, can increase the carrying capacity to approximately 30% more during the lifetime. (g) The deck slab satisfied the serviceability and lifetime number of axles that a concrete bridge deck slab would experience.
932 FRPRCS-6: Sustained and Fatigue Loads
ACKNOWLEDGEMENTS The financial assistance provided by ISIS Canada, A Network of Centres of Excellence, and the Cement Association of Canada are gratefully acknowledged. The authors gratefully acknowledge the GFRP bars provided by Hughes Brothers, Inc. USA. Special thanks to Moray Mcvey, Grant Whiteside and Liting Han for their assistance during fabrication and testing of the deck slab and the administrative support from ISIS Canada. REFERENCES 1. Mufti, A.A.; Jaeger, L.G.; Bakht, B.; and Wegner, L.D., "Experimental Investigation of FRC Slabs Without Internal Steel Reinforcement," Canadian Journal of Civil Engineering, V. 20 No.3, 1993, pp. 398406. 2. AASHTO, LRFD Bridge Design Specifications, American Association of State Highway and Transportation Officials, Washington, D.C., 1998. 3. CHBDC, "Canadian Highway Bridge Design Code, "Canadian Standards Association International, Toronto, 2000. 4. Mufti, A.A., Memon, A.H., Bakht, B., and Banthia, N., "Fatigue Investigation of the SteelFree Bridge Deck Slabs," ACI International SP 206, American Concrete Institute, 2002, pp. 6170. 5. Bakht, B. and Mufti, A.A., "Five SteelFree Bridge Deck Slabs in Canada," Journal of the International Association for Bridge and Structural Engineering (IABSE), V. 8, No. 3, 1998, pp. 196200. 6. Matsui, S. and Tei, K., "Researches and Japanese Developments on Highway Bridge Slabs and Contribution of Wheel Running Machines," Proceedings, Third International Conference on Concrete under Severe Conditions, Vancouver, June 1820, 2001, V. 1, pp. 9921008. 7. Newhook, J.P. and Mufti, A.A., "Punch Program User Manual ", Nova Scotia CAD/CAM Centre Dalhousie University, Hallifax, Nova Scotia, September, 1998. 8. Mufti, A.A. and Newhook, J.P., "Punching Shear Strength of Restrained Concrete Bridge Deck slabs", ACI Structural Journal, 95(4), 1998, pp. 375381.
Prestressed FRP Reinforcement and Tendons
This page is intentionally left blank
FRPRCS-6, Singapore, 810 July 2003 Edited by Kiang Hwee Tan ©World Scientific Publishing Company
FATIGUE OF HIGH STRENGTH CONCRETE BEAMS PRETENSIONED WITH CFRP TENDONS B. B. AGYEI AND J. M. LEES Dept. of Engineering, Univ. of Cambridge, Trumpington St., UK G. P. TERRASI SACAC Schleuderbetonwerk AG, Lenzburg, Switzerland The research investigates the fatigue resistance of high strength concrete beams prestressed with CFRP tendons. The fatigue performance of bare CFRP tendons has been found to be very good. However, the influence of stress concentrations at concrete crack locations on the fatigue behaviour requires further verification. In the main experiments, concrete beams pretensioned with CFRP tendons were subjected to cyclic loading. The maximum and minimum loads were chosen so that the beams were cycled above and below the cracking load. Thus, as the cracks opened and closed the concrete crack faces rubbed against each other and potentially against the tendon. It is concluded that the fatigue resistance of CFRP tendons does not appear to be affected by stress concentrations at crack locations since debonding occurs and reduces the strain concentrations.
INTRODUCTION The first CFRP prestressed high strength concrete pylon for transmitting electricity was produced in Switzerland, in September 2000'. The 27m pole was manufactured using a centrifugallycast high strength concrete containing silicafumeblended cement and polypropylene chopped fibre reinforcement. The CFRP prestressed pole had a wall thickness of only 40mm and the weight was 40% less than that of a conventional steel prestressed concrete pole design. Having successfully used CFRP tendons in pylons, the potential of extending this novel idea to the design of wind turbine towers was identified. Wind turbines are very efficient in onshore and offshore environments. However, these environments are very aggressive causing corrosion of steel or steelprestressed concrete towers. It is thus an ideal application for combining concrete with a noncorrodible, lightweight and high strength tendon material such as CFRP. Although the initial cost of the structure is expected to be higher, lower maintenance, transportation and installation costs are expected to make CFRPprestressed poles cost
936 FRPRCS-6: Prestressed FRP Reinforcement and Tendons
effective. The most severe loading condition for wind turbine towers is fatigue in a corrosive environment. Hence, the initial focus of the research was to study the fatigue of CFRP tendons embedded in concrete. FATIGUE REVIEW The goal was to carry out a series of experiments to investigate the fatigue behaviour of high strength concrete prestressed with CFRP. In particular, the required stress range and mean stress to be used in the experiments needed to be determined. As a basis for the design of the experiments, various codes of practice and relevant publications were studied. The findings are shown in Tables 1 and 2. Table 1 summarises various fatigue tests on bare CFRP tendons (not in concrete) undertaken by others. The tests were conducted under varying stress ranges and frequencies but on average for about 3000000 cycles. All the tests shown in the table survived the specified number of cycles. However, in Saadatmanesh et al's2 tests, the tendons failed for a stress range of 200 MPa when the minimum stress was 90% of the ultimate tendon strength and also for a stress range of 400 MPa when the minimum stress was 60% of the ultimate tendon strength. In the case of Uomoto's3 experiments, tendons subjected to maximum stresses greater than 87.5% failed during testing. Table 1. Summary of CFRP fatigue tests.
Ref Uomoto* Saadat manesh 2 UomotoJ Adim?
Freq. (Hz)
Stress (MPa)
Range (MPa)
Min. no. of cycles
-
mean 85% m/«3090% min 3060% min 30% max 87.5% min/max=0.1
100 100 200 400 1001000 98.8988
2000000 3000000 3000000 3000000 4000000 4000000
35 35 35 110 4
Ultimate Strength (MPa) 1295 2000 2000 2000 1390 2600
Table 2 shows the specifications of various design codes for the fatigue performance of bare steel tendons and also for steel embedded in concrete. The table shows that most of the codes specify a mean stress range of about 180 MPa for 2000000 cycles. As the CFRP tendons are expected to be used instead of steel, these results would represent a minimum baseline fatigue performance.
High Strength Concrete Beams with CFRP Tendons 937 Table 2. Summary of code recommendations for the fatigue resistance of steel. Ref/Steel status CEB-fip "/bare CEB-flp '/bare Mallet*/bare Mallet1'Ibare Mallei/bare SiA^/in cone. SiA^lin cone.
Stress (MPa) max 70%
Range (MPa) 170180 80280 80280 18026 • 0 50220 100150 1012% of Strength
Cycles (N) 2000000 2000000 1000000 2000000 10000000 4000000
* In the absence of fretting effects.
An alternative approach to designing fatigue experiments is to specify a load range above and below the beam cracking load. Hence, an example of a possible practical stress range that could be used in the experiments is that which corresponds to a minimum load (Pmi„) below the cracking load and a maximum load (Pmsx) above the cracking load as indicated in Figure 110. It is expected that fatigue failures would almost always occur at crack locations as a result of stress concentrations. These loads (Pmax and Pmi„) can be used to calculate the tendon stress range Afp . Using the SN curve for the tendon, Figure lb, the corresponding number of cycles until failure (N) can then be deduced from the SN plot. This approach was used in the design of the experiments. A typical SN curve (as shown in Figure 1) predicts the fatigue life of a material at given stress ranges or stress ratios for a given frequency of tensile oscillation and a given temperature. The fatigue life is usually predicted within a 90/95% confidence limit. A 00
d2(j>
dy
ox
d2d> '
dxdy
Hence, the stresses in both the x and y directions can be determined by selecting an appropriate stress function which satisfies all boundary conditions. There are numerous methods for obtaining a suitable form for the stress function, but here dynamic relaxation (DR) incorporated into a finite difference grid is used10. Using DR, the form of the stress function (x, y) can be found for the various loading conditions, essentially by using numerical partial differentiation, so that the stresses in both the x and y directions can be calculated and hence the cracking load predicted. Figure 6 shows a typical stress plot for a specimen loaded under two distant concentrated anchorage locations.
Figure 6. Elastic stress distribution in secondary anchorage zones
Anchorage Zones for FRP-Prestressed Concrete 961 Figure 7 shows correlation between predicted and actual cracking loads for all secondary zone specimens. Agreement is reasonably good. Correlation between predicted and actual cracking loads ouu
z"
.* -~
•
/ •
500-
n o -a) 400-
*
C
o 300ra
y»/
•
•
\s* * * S • l
=5 1000. n. 0
U
100
i
i
i
i
i
200
300
400
500
600
700
Actual cracking load (kN)
Figure 7. Cracking load predictions for all secondary zone specimens Plastic Model In order to predict the ultimate failure load of the specimens, it was decided to use plasticity theory once again, as had been used for the primary zones, as it was noticed during testing that the final collapse state in every case always involved wedging beneath the load plates. The level at which this wedging occurred was found to be related to the quantity of secondary reinforcement. Further, in every case, the secondary reinforcement was inspected following failure of the overall specimen, and it seemed that rather than the FRP being mainly stretched (as one might expect from steel bars crossing a shear discontinuity), there was substantial transverse shear damage where the wedge action had attempted to guillotine the FRP bars. Therefore, the model shown in Figure 8 has been adopted for the ultimate capacity analysis of the secondary zones. In tandem with this model, the same plastic assumptions as were made for the primary zone situation are made here, with the only exception being that stretching of the FRP bars does not occur. Instead, the guillotine shear strength of the bars
962 FRPRCS-6: Prestressed FRP Reinforcement and Tendons was measured and used in the analysis. Figure 9 shows correlation between the actual ultimate collapse capacities and the predicted values using this plasticitybased approach. Correlation is reasonably good for specimens in which the anchorage loads are spaced far apart, but less good for specimens in which the anchorage loads are closer together.
Figure 8. Isometric and elevation of the assumed failure planes
Correlation between predicted and actual test loads _
16001
z £. 1400 X v\
1000
800
-200
^ _ AvgPAF
1800
*k
-100 -50 Load(kN)
Figure 6. Average strain in PAF and steel
Development of PAF strain with different PAF ratios 10
d/dy Figure 7. Maximum strain development in PAF with different amount of PAF
Figure 7 shows the effect of amount of PAF on the maximum strain of PAF (of both inner and outer PAF). The strain development at the first yielding displacement is greater in SI2 where there is smaller amount of PAF. Also, after the flexural yielding, the strain development is greater in the pier with smaller amount of PAF and it is approximately linear. The strain
Simple Continuous System of Shear Reinforcement
973
development in steel is relatively smaller at the initial phase until it yields in both the piers. Effect of repeated cyclic displacement on PAF strain The increment in maximum strain of PAF with increment in repeated load reversals at constant displacement in addition to the non repeated displacement reversals is shown in Figure 8. The effect is more pronounced when the amount of PAF is smaller. The increment in strain reduces decrease as the number of repeated cycles at the same displacement level increases. There is no specific trend in increment in strain with increase in displacement level. The mean value of available nonnegative and nonzero data from Figure 8 shows 0.78 and 0.56 times yielding strain of steel stirrup for the first repeated cycles of pier SI2 and SI3 respectively. The mean values are 0.29 and 0.17 times yielding strain of steel stirrup for the second repeated cycles of the piers SI2 and SI3 respectively. Conservatively, it can be concluded that the increment in strain in PAF for the second repeated cycle, excluding non repeated cycle, is half that of the first repeated cycle. 1.5
1.5 Sl-2
1.2
DCycle3
• Cycle2
Sl-3
1.2
DCycle3
• Cycle2
1
^0.9
«0.9
i
i
W
T ?
i
T
Scheme (a) Scheme (b) Scheme (c) Figure 2. Schematic of the computation of stresses in the groovefilling material in the linearlyelastic range. where dg is the size of the (square) groove, and ux and uy are displacements along x and y, respectively. Once the system is solved for the unknowns X, and X2, it is possible to compute the stresses in the epoxy. Based on phenomenology, stresses whose computation is more relevant are the "hoop" stresses on the x and y axes. Particularly important is to determine the "hoop" tensile stress on the positive y axis, i.e., in the cover of the bar where initiation of longitudinal cracking in the epoxy can thus be predicted. The maximum inplane principal stresses on the two locations are as follows: ai(0,y) = -kW
) =
9y + 1 + + kjiv-) 4^— 3 + ~ ~l0do 4
l-{*l("')-J*2("') + {. -ki(.v') + -k2(v')-
(3a) /
2xl
+ 9kj(v')-
k2-\
(3b) 2x 1 , 1 2 * . valid for 1