Analytical truss model for concrete beams reinforced with FRP bars
Email:
tctngoc@hcmiu.edu.vn
Keywords:
FRP bars; concrete beams; strut-and-tie; beam actions; arch actions; shear strength.
Abstract
A truss model supplementing the concrete contribution is introduced in this paper to predict the shear strength of concrete beams reinforced with various types of FRP bars. The contributions from truss and direct strut mechanisms are considered in the analytical model. The truss model which has struts at various angles considering concrete contribution is derived in this paper. The concept of equivalent transverse FRP reinforcement is applied to integrate the concrete contribution into the proposed truss model. The shear strengths of concrete and FRP transverse reinforcements in the proposed model are calculated based on El-sayed et al. and CSA S806, respectively. The validity and applicability of the proposed model are evaluated by comparison with available experimental database, which consists of concrete beams reinforced with glass, carbon, aramid and basalt FRP bars. The comparison has shown a good correlation between the experimental data and analytical results. The proposed model is also compared with ACI 440.1R and CSA S806’s shear strength models and the better correlation is found. The results from this research shows that the properly-treated truss analogy can be used to assess the shear strength of concrete beams reinforced with various types of FRP bars.References
[1]. A. El-Sayed, E. El-Salakawy, B. Benmokrane, Shear strength of concrete beams reinforced with FRP bars: design method, ACI Structural Journal, SP230-54 (2005) 955-973.
[2]. CSA S806-12, Design and Construction of Buildings Components with Fiber-Reinforced Polymers, Canadian Standards Association (CSA), Toronto, 2012
[3]. ACI 440.1R-06, Guide for the design and construction of concrete reinforced with FRP bars, American Concrete Institute, Farmington Hills, Mich, 2006.
[4]. ISIS, Reinforcing concrete structures with fibre reinforced polymers, Design manual No. 3, Intelligent Sensing for Innovative Structures, Canadian Network of Excellence, Winnipeg, Canada, 2001.
[5]. JSCE, Recommendation for design and construction of concrete structures using continuous fiber reinforcing materials, Japan Society of Civil Engineering, Tokyo, 1997.
[6]. N. A. Hoult, E. G. Sherwood, E. C. Bentz, M. P. Collins, Does the use of FRP reinforcement change the one-way shear behavior of reinforced concrete slabs?, J. Compos. Constr., 12 (2008) 125–133. https://doi.org/10.1061/(ASCE)1090-0268(2008)12:2(125)
[7]. B. Bresler, J. G. MacGregor, Review of Concrete Beams Failing in Shear, ACI Journal, Proceedings, 93 (1967) 343-372.
[8]. B. Li, C.T.N. Tran, Reinforced Concrete Beam Analysis Supplementing, Concrete Contribution in Truss Models, Engineering Structures, 30 (2008) 3285-3294. https://doi.org/10.1016/j.engstruct.2008.05.002
[9]. C.T.N. Tran, Modeling of Non-seismically Detailed Columns Subjected to Reversed Cyclic Loadings, Structural Engineering and Mechanics, 44 (2012) 163-178. https://doi.org/10.12989/sem.2012.44.2.163
[10]. A. G. Razaqpur, S. Spadea, Shear strength of FRP reinforced concrete members with stirrups, J. Compos. Constr., 19 (2015) 04014025. https://doi.org/10.0j1061/(ASCE)CC.1943-5614.0000483
[11]. J. Schlaich, K. Schafer, Designs and Detailing of Structural Concrete Using Strut-and-Tie Models, The Structural Engineer, 69 (1991) 113-125.
[12]. BS EN 1992-1-1:2004, Eurocode 2: Design of Concrete Structures, Part 1-1: General Rules and Rules for Buildings, 2004.
[13]. H. Nakamura, T. Higai, Evaluation of shear strength of concrete beams reinforced with FRP, Concr. Libr. JSCE, 26 (1995) 111–123.
[14]. W.J. Zhao, K. Maruyama, H. Suzuky, Shear behavior of concrete beams reinforced by FRP rods as longitudinal and shear reinforcement, Proc., FRPRCS-2, (1995) 352–359.
[15]. K. Maruyama, W.J. Zhao, Size effect in shear behavior of FRP reinforced concrete beams, 2nd Int. Conf. on Advanced Composite Materials in Bridges and Structures, M. El-Badry, ed., ACMBS, 1996, 227–234.
[16]. N. Duranovic, K. Pilakoutas, P. Waldron, Tests on concrete beams reinforced with glass fiber reinforced plastic bars, FRPRCS-3, Japan Concrete Institute, Sapporo, Japan, 1997, 479–486,.
[17]. S.H. Alsayed, Flexural behaviour of concrete beams reinforced with GFRP bars, Cem. Concr. Compos., 20 (1998) 1–11. https://doi.org/10.1016/S0958-9465(97)00061-9
[18]. T. Alkhrdaji, M.Wideman, A. Belarbi, A. Nanni, Shear strength of RC beams and slabs, CCC2001, J. Figueiras, L. Juvandes, and R. Faria, eds., A.A. Balkema Publishers, Netherlands, 2001, 409–414.
[19]. F. Yang, Deformation Behaviour of Beams Reinforced with Fibre Reinforced Polymer Bars under Bending and Shear, Ph.D Thesis, University of Sheffield, 2015.
[20]. M.A. Issa, T. Ovitigala, M. Ibrahim, Shear Behavior of Basalt Fiber Reinforced Concrete Beams with and without Basalt FRP Stirrups, J. Compos. Constr 20 (2005) 04015083. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000638
[2]. CSA S806-12, Design and Construction of Buildings Components with Fiber-Reinforced Polymers, Canadian Standards Association (CSA), Toronto, 2012
[3]. ACI 440.1R-06, Guide for the design and construction of concrete reinforced with FRP bars, American Concrete Institute, Farmington Hills, Mich, 2006.
[4]. ISIS, Reinforcing concrete structures with fibre reinforced polymers, Design manual No. 3, Intelligent Sensing for Innovative Structures, Canadian Network of Excellence, Winnipeg, Canada, 2001.
[5]. JSCE, Recommendation for design and construction of concrete structures using continuous fiber reinforcing materials, Japan Society of Civil Engineering, Tokyo, 1997.
[6]. N. A. Hoult, E. G. Sherwood, E. C. Bentz, M. P. Collins, Does the use of FRP reinforcement change the one-way shear behavior of reinforced concrete slabs?, J. Compos. Constr., 12 (2008) 125–133. https://doi.org/10.1061/(ASCE)1090-0268(2008)12:2(125)
[7]. B. Bresler, J. G. MacGregor, Review of Concrete Beams Failing in Shear, ACI Journal, Proceedings, 93 (1967) 343-372.
[8]. B. Li, C.T.N. Tran, Reinforced Concrete Beam Analysis Supplementing, Concrete Contribution in Truss Models, Engineering Structures, 30 (2008) 3285-3294. https://doi.org/10.1016/j.engstruct.2008.05.002
[9]. C.T.N. Tran, Modeling of Non-seismically Detailed Columns Subjected to Reversed Cyclic Loadings, Structural Engineering and Mechanics, 44 (2012) 163-178. https://doi.org/10.12989/sem.2012.44.2.163
[10]. A. G. Razaqpur, S. Spadea, Shear strength of FRP reinforced concrete members with stirrups, J. Compos. Constr., 19 (2015) 04014025. https://doi.org/10.0j1061/(ASCE)CC.1943-5614.0000483
[11]. J. Schlaich, K. Schafer, Designs and Detailing of Structural Concrete Using Strut-and-Tie Models, The Structural Engineer, 69 (1991) 113-125.
[12]. BS EN 1992-1-1:2004, Eurocode 2: Design of Concrete Structures, Part 1-1: General Rules and Rules for Buildings, 2004.
[13]. H. Nakamura, T. Higai, Evaluation of shear strength of concrete beams reinforced with FRP, Concr. Libr. JSCE, 26 (1995) 111–123.
[14]. W.J. Zhao, K. Maruyama, H. Suzuky, Shear behavior of concrete beams reinforced by FRP rods as longitudinal and shear reinforcement, Proc., FRPRCS-2, (1995) 352–359.
[15]. K. Maruyama, W.J. Zhao, Size effect in shear behavior of FRP reinforced concrete beams, 2nd Int. Conf. on Advanced Composite Materials in Bridges and Structures, M. El-Badry, ed., ACMBS, 1996, 227–234.
[16]. N. Duranovic, K. Pilakoutas, P. Waldron, Tests on concrete beams reinforced with glass fiber reinforced plastic bars, FRPRCS-3, Japan Concrete Institute, Sapporo, Japan, 1997, 479–486,.
[17]. S.H. Alsayed, Flexural behaviour of concrete beams reinforced with GFRP bars, Cem. Concr. Compos., 20 (1998) 1–11. https://doi.org/10.1016/S0958-9465(97)00061-9
[18]. T. Alkhrdaji, M.Wideman, A. Belarbi, A. Nanni, Shear strength of RC beams and slabs, CCC2001, J. Figueiras, L. Juvandes, and R. Faria, eds., A.A. Balkema Publishers, Netherlands, 2001, 409–414.
[19]. F. Yang, Deformation Behaviour of Beams Reinforced with Fibre Reinforced Polymer Bars under Bending and Shear, Ph.D Thesis, University of Sheffield, 2015.
[20]. M.A. Issa, T. Ovitigala, M. Ibrahim, Shear Behavior of Basalt Fiber Reinforced Concrete Beams with and without Basalt FRP Stirrups, J. Compos. Constr 20 (2005) 04015083. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000638
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Received
18/03/2023
Revised
17/04/2023
Accepted
14/05/2023
Published
15/05/2023
Type
Research Article
How to Cite
Tran Cao Thanh, N. (1684083600). Analytical truss model for concrete beams reinforced with FRP bars. Transport and Communications Science Journal, 74(4), 456-468. https://doi.org/10.47869/tcsj.74.4.6
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