Performance of Compression Yielded FRP-Reinforced Concrete Beams with T Sections
Publication: Journal of Composites for Construction
Volume 27, Issue 2
Abstract
Concrete structures reinforced with fiber-reinforced polymer (FRP) reinforcement have been increasingly applied in civil engineering construction to improve several structural performances of bridges and buildings. However, the major weakness of these structures is that they typically suffer from poor ductility and brittle failure. An innovative mechanism called compression yielding (CY) has recently been proposed to enhance the ductility of FRP-reinforced concrete beams. In this study, the moment capacity and ductility of CY beams with T sections are analyzed based on a layered approach. The key variables in the design of a CY beam with a T section are identified and their importance is comprehensively investigated based on the elementary effects method and a parametric study. It is found that the ductility performance can be effectively improved by using a CY material with postmodulus ratio close to 0, and the moment capacity can be enhanced significantly by increasing the CY material strength. The most effective measure for simultaneously improving the moment capacity and ductility performance is to increase the CY block height.
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Data Availability Statement
All data that support the findings of this study are available from the corresponding author on reasonable request.
Acknowledgments
Acknowledgments
This work was supported by the Australian Research Council (Grant Number DP200100631).
Notation
The following symbols are used in this paper:
- A
- area enclosed by M–κcurve;
- Ae
- area equivalent to A;
- Af
- area of FRP reinforcement;
- As
- area of steel bars;
- bf
- flange width;
- bw
- web width;
- d
- effective depth of beam;
- Eb
- elastic modulus of CY block;
- Ec
- elastic modulus of concrete;
- elementary effect of variable Xj;
- Ef
- elastic modulus of FRP;
- Fb
- force on CY block;
- Fbi
- force in the ith layer of the CY block;
- Fc
- force on concrete;
- Fci
- force in the ith layer of concrete;
- Ff
- force on FRP bars;
- Fs
- force on steel;
- f
- stress of concrete corresponding to ɛc;
- fb
- stress of CY block corresponding to ɛb;
- fbu
- ultimate stress of CY block;
- fbx
- stress at interface between CY block and concrete;
- fby
- yield stress of CY block;
- fc
- compressive strength of concrete;
- ff
- stress of FRP;
- ffm
- maximum allowable stress of FRP;
- ffu
- ultimate stress of FRP;
- fs
- stress on steel bars;
- Mbi
- moment in the ith layer of the CY block;
- Mci
- moment in the ith layer of concrete;
- Mmax
- maximum moment of CY beam with T section;
- Ms
- moment on steel bars;
- Mt
- moment of balanced beam section;
- Mu
- ultimate moment of CY beam with T section;
- M0
- moment capacity of normal FRP-reinforced concrete beam with T section;
- p
- number of possible values of variable;
- r
- number of ductility or moment capacity calculated from section analysis;
- t
- layer thickness;
- tf
- flange thickness;
- Xj
- jth input variable;
- Yi
- location of ith layer;
- YNA
- location of neutral axis;
- Δ
- variable increment;
- ɛb
- strain at random point in CY block;
- ɛbu
- ultimate strain of CY block;
- ɛby
- yield strain of CY block;
- ɛc
- strain at random point in concrete;
- ɛcu
- crush strain of concrete;
- ɛcx
- strain at interface between CY block and concrete;
- ɛf
- strain of FRP;
- ɛfm
- maximum allowable strain of FRP;
- ɛfu
- rupture strain of FRP;
- ɛref
- reference strain;
- ɛs
- strain on steel bars;
- ɛ0
- yield strain of concrete;
- ζ
- concrete cover ratio;
- η
- height ratio of CY block;
- κ
- curvature of section corresponding to ɛref;
- κmax
- curvature corresponding to Mmax;
- κu
- ultimate curvature;
- κy
- yield curvature of CY beam with T section;
- importance score of jth variable;
- ξ
- postmodulus ratio of CY material;
- ρfrp
- reinforcement ratio of FRP;
- ρs
- reinforcement ratio of steel; and
- ϕy
- curvature ductility.
References
Bank, L. C. 2013. “Progressive failure and ductility of FRP composites for construction: Review.” J. Compos. Constr. 17 (3): 406–419. https://doi.org/10.1061/(asce)cc.1943-5614.0000355.
Behnam, B., and C. Eamon. 2013. “Reliability-based design optimization of concrete flexural members reinforced with ductile FRP bars.” Constr. Build. Mater. 47: 942–950. https://doi.org/10.1016/j.conbuildmat.2013.05.101.
Campolongo, F., J. Cariboni, and A. Saltelli. 2007. “An effective screening design for sensitivity analysis of large models.” Environ. Modell. Software 22 (10): 1509–1518. https://doi.org/10.1016/j.envsoft.2006.10.004.
Ferreira, A., P. Camanho, A. Marques, and A. Fernandes. 2001. “Modelling of concrete beams reinforced with FRP re-bars.” Compos. Struct. 53 (1): 107–116. https://doi.org/10.1016/S0263-8223(00)00182-3.
Guo, B., X. Lin, Y. Wu, and L. Zhang. 2022. “Evaluation of flexural resistance of compression yielded concrete beams reinforced with fibre reinforced polymers.” Eng. Struct. 250: 113416. https://doi.org/10.1016/j.engstruct.2021.113416.
Harris, H. G., W. Somboonsong, and F. K. Ko. 1998. “New ductile hybrid FRP reinforcing bar for concrete structures.” J. Compos. Constr. 2 (1): 28–37. https://doi.org/10.1061/(ASCE)1090-0268(1998)2:1(28).
Huang, X., Y. Zhou, F. Xing, Y. Wu, L. Sui, and N. Han. 2020. “Reliability-based design of FRP flexural strengthened reinforced concrete beams: Guidelines assessment and calibration.” Eng. Struct. 209: 109953. https://doi.org/10.1016/j.engstruct.2019.109953.
Kassem, C., A. S. Farghaly, and B. Benmokrane. 2011. “Evaluation of flexural behavior and serviceability performance of concrete beams reinforced with FRP bars.” J. Compos. Constr. 15 (5): 682–695. https://doi.org/10.1061/(asce)cc.1943-5614.0000216.
Lin, X., and Y. X. Zhang. 2011. “A novel one-dimensional two-node shear-flexible layered composite beam element.” Finite Elem. Anal. Des. 47 (7): 676–682. https://doi.org/10.1016/j.finel.2011.01.010.
Lin, X., and Y. X. Zhang. 2013a. “Bond–slip behaviour of FRP-reinforced concrete beams.” Constr. Build. Mater. 44: 110–117. https://doi.org/10.1016/j.conbuildmat.2013.03.023.
Lin, X., and Y. X. Zhang. 2013b. “Nonlinear finite element analyses of steel/FRP-reinforced concrete beams in fire conditions.” Compos. Struct. 97: 277–285. https://doi.org/10.1016/j.compstruct.2012.09.042.
Lin, X., and Y. X. Zhang. 2013c. “Novel composite beam element with bond-slip for nonlinear finite-element analyses of steel/FRP-reinforced concrete beams.” J. Struct. Eng. 139 (12): 06013003. https://doi.org/10.1061/(asce)st.1943-541x.0000829.
Liu, X., Y. Wu, A. Leung, and J. Hou. 2007. “Mechanical behavior of mild steel compressive yielding blocks.” In Proc., 1st Asia-Pacific Conf. on FRP in Structures, 12–14. Hong Kong: University of Hong Kong.
Morris, M. D. 1991. “Factorial sampling plans for preliminary computational experiments.” Technometrics 33 (2): 161–174. https://doi.org/10.1080/00401706.1991.10484804.
Neocleous, K., K. Pilakoutas, and M. Guadagnini. 2005. “Failure-mode-hierarchy-based design for reinforced concrete structures.” Struct. Concr. 6 (1): 23–32. https://doi.org/10.1680/stco.2005.6.1.23.
Qu, W., X. Zhang, and H. Huang. 2009. “Flexural behavior of concrete beams reinforced with hybrid (GFRP and steel) bars.” J. Compos. Constr. 13 (5): 350–359. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000035.
Wu, Y.-F. 2008. “Ductility demand of compression yielding fiber-reinforced polymer-reinforced concrete beams.” ACI Struct. J. 105 (1): 104.
Wu, Y.-F., J.-F. Jiang, and K. Liu. 2010a. “Perforated SIFCON blocks – An extraordinarily ductile material ideal for use in compression yielding structural systems.” Constr. Build. Mater. 24 (12): 2454–2465. https://doi.org/10.1016/j.conbuildmat.2010.06.011.
Wu, Y.-F., Y.-W. Zhou, and X.-Q. He. 2010b. “Performance-based optimal design of compression-yielding FRP-reinforced concrete beams.” Compos. Struct. 93 (1): 113–123. https://doi.org/10.1016/j.compstruct.2010.06.009.
Wu, Y.-F., Y.-W. Zhou, B. Hu, X. Huang, and S. Smith. 2019. “Fused structures for safer and more economical constructions.” Front. Struct. Civ. Eng. 14 (1): 1–9. https://doi.org/10.1007/s11709-019-0541-7.
Xie, H., Y. Wang, and R. Zou. 2015. “Reliability analysis of RC T-beam highway bridges in China based on a virtual bridge dataset.” Eng. Struct. 104: 133–140. https://doi.org/10.1016/j.engstruct.2015.09.029.
Yang, Y., N. T. K. Lam, and L. Zhang. 2012. “Evaluation of simplified methods of estimating beam responses to impact.” Int. J. Struct. Stab. Dyn. 12(3): 1250016. https://doi.org/10.1142/s0219455412500162.
Zhang, Y., and X. Lin. 2013. “Nonlinear finite element analyses of steel/FRP-reinforced concrete beams by using a novel composite beam element.” Adv. Struct. Eng. 16 (2): 339–352. https://doi.org/10.1260/1369-4332.16.2.339.
Zhou, Y., J. Zhang, W. Li, B. Hu, and X. Huang. 2020. “Reliability-based design analysis of FRP shear strengthened reinforced concrete beams considering different FRP configurations.” Compos. Struct. 237: 111957. https://doi.org/10.1016/j.compstruct.2020.111957.
Zhou, Y. W., Y. F. Wu, J. G. Teng, and A. Y. T. Leung. 2009a. “Ductility analysis of compression-yielding FRP-reinforced composite beams.” Cem. Concr. Compos. 31 (9): 682–691. https://doi.org/10.1016/j.cemconcomp.2009.06.007.
Zhou, Y. W., Y. F. Wu, J. G. Teng, and A. Y. T. Leung. 2009b. “Parametric space for the optimal design of compression-yielding FRP-reinforced concrete beams.” Mater. Struct. 43 (1-2): 81–97. https://doi.org/10.1617/s11527-009-9472-4.
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© 2023 American Society of Civil Engineers.
History
Received: Apr 15, 2022
Accepted: Oct 11, 2022
Published online: Jan 18, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 18, 2023
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