Novel Truss Analogy Approach to Analyze Reinforced Concrete Deep Beams Strengthened with Externally Bonded FRP Systems
Publication: Journal of Structural Engineering
Volume 147, Issue 12
Abstract
A new analysis approach is devised herein to predict the response of reinforced concrete deep beams strengthened in flexure, shear or shear-flexure with fiber-reinforced polymer (FRP). The analysis approach recognizes the fact that FRP-strengthened deep beams represent a statically indeterminate idealized truss. Therefore, two parallel determinate trusses are modeled for the levels of yielding and ultimate loads. By imposing the compatibility of deflections between the two trusses at the yielding and ultimate levels, the contribution of the second truss is evaluated using the load obtained from the first truss. The nonlinear strain profile is adjusted to account for the Timoshenko first-order shear deformation contribution. The analysis procedure is examined against four different deep beams strengthened in flexure, shear, and combined shear-flexure and tested experimentally. The predicted full response agrees very well with all experimental curves. In addition, the analytical and experimental responses of five extra-deep beams are compared for added verification. Accordingly, this approach may be viewed as a unified procedure to analyze the whole spectrum of strengthened deep beams.
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References
ACI (American Concrete Institute). 1996. State-of-the-art report on fiber reinforced plastic (FRP) reinforcement for concrete structures. ACI 440. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2017. Guide for the design and construction of externally bonded FRP systems for strengthening concrete structures. ACI 440.2R-17. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2019. Building code requirements for structural concrete and commentary. ACI 318-19. Farmington Hills, MI: ACI.
Albidah, A., A. Abadel, H. Abbas, T. Almusallam, and Y. Al-Salloum. 2019. “Experimental and analytical study of strengthening schemes for shear deficient RC deep beams.” Constr. Build. Mater. 216 (Aug): 673–686. https://doi.org/10.1016/j.conbuildmat.2019.05.024.
Alsadat Asghari, A., Z. Tabrizian, M. Hossein Ali Beigy, G. Ghodrati Amiri, and B. Navayineya. 2014. “An experimental study on shear strengthening of RC lightweight deep beams using CFRP.” J. Rehabil. Civ. Eng. 2 (2): 9–19.
Al-Salih, H., C. Bennett, and A. Matamoros. 2021. “Evaluation of novel combined CFRP-steel retrofit for repairing distortion-induced fatigue.” J. Constr. Steel Res. 182 (Jul): 106642. https://doi.org/10.1016/j.jcsr.2021.106642.
Arabzadeh, A., A. R. Rahaei, and R. Aghayari. 2009. “A simple strut-and-tie model for prediction of ultimate shear strength of RC deep beams.” Int. J. Civ. Eng. 7 (3): 141–153.
Charkas, H., H. A. Rasheed, and H. Melhem. 2003. “Rigorous procedure for calculating deflections of fiber-reinforced polymer-strengthened reinforced concrete beams.” ACI Struct. J. 100 (4): 529–539.
Colotti, V., G. Spadea, and R. N. Swamy. 2004. “Analytical model to evaluate failure behavior of plated reinforced concrete beams strengthened for shear.” Struct. J. 101 (6): 755–764.
Dhahir, M. K. 2017. “Shear strength of FRP reinforced deep beams without web reinforcement.” Compos. Struct. 165 (Apr): 223–232. https://doi.org/10.1016/j.compstruct.2017.01.039.
Dhahir, M. K. 2018. “Strut and tie modeling of deep beams shear strengthened with FRP laminates.” Compos. Struct. 193 (Jun): 247–259. https://doi.org/10.1016/j.compstruct.2018.03.073.
Dong, J., Q. Wang, and Z. Guan. 2013. “Structural behaviour of RC beams with external flexural and flexural–shear strengthening by FRP sheets.” Composites, Part B 44 (1): 604–612. https://doi.org/10.1016/j.compositesb.2012.02.018.
Hanoon, A. N., M. S. Jaafar, F. Hejazi, and F. N. A. Aziz. 2017. “Strut-and-tie model for externally bonded CFRP-strengthened reinforced concrete deep beams based on particle swarm optimization algorithm: CFRP debonding and rupture.” Constr. Build. Mater. 147 (Aug): 428–447. https://doi.org/10.1016/j.conbuildmat.2017.04.094.
Islam, M. R., M. A. Mansur, and M. Maalej. 2005. “Shear strengthening of RC deep beams using externally bonded FRP systems.” Cem. Concr. Compos. 27 (3): 413–420. https://doi.org/10.1016/j.cemconcomp.2004.04.002.
Javed, M. A., M. Irfan, S. Khalid, Y. Chen, and S. Ahmed. 2016. “An experimental study on the shear strengthening of reinforced concrete deep beams with carbon fiber reinforced polymers.” KSCE J. Civ. Eng. 20 (7): 2802–2810. https://doi.org/10.1007/s12205-016-0739-3.
Li, W., and C. K. Leung. 2016. “Shear span–depth ratio effect on behavior of RC beam shear strengthened with full-wrapping FRP strip.” J. Compos. Constr. 20 (3): 04015067. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000627.
Mhanna, H. H., R. A. Hawileh, and J. A. Abdalla. 2019. “Shear strengthening of reinforced concrete beams using CFRP wraps.” Procedia Struct. Integrity 17 (Jan): 214–221. https://doi.org/10.1016/j.prostr.2019.08.029.
Nehdi, M., Z. Omeman, and H. El-Chabib. 2008. “Optimal efficiency factor in strut-and-tie model for FRP-reinforced concrete short beams with (1.5< a/d< 2.5).” Mater. Struct. 41 (10): 1713–1727. https://doi.org/10.1617/s11527-008-9359-9.
Norris, T., H. Saadatmanesh, and M. R. Ehsani. 1997. “Shear and flexural strengthening of R/C beams with carbon fiber sheets.” J. Struct. Eng. 123 (7): 903–911. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:7(903).
Park, R., and T. Paulay. 1975. Reinforced concrete structures. Hoboken, NJ: Wiley.
Pham, H., and R. Al-Mahaidi. 2004. “Experimental investigation into flexural retrofitting of reinforced concrete bridge beams using FRP composites.” Compos. Struct. 66 (1–4): 617–625. https://doi.org/10.1016/j.compstruct.2004.05.010.
Raheem, M. M. 2019. “Structural behavior of reinforced concrete deep beams strengthened in flexure with CFRP.” Doctoral dissertation, Dept. of Civil Engineering, Kansas State Univ.
Raheem, M. M., and H. A. Rasheed. 2021. “Development of an objective model to predict shear capacity of FRP U-wrap anchors.” Compos. Struct. 265 (Jun): 113762. https://doi.org/10.1016/j.compstruct.2021.113762.
Rasheed, H. A. 1990. “Inelastic behavior of reinforced concrete frame structures.” M.Sc. thesis, Dept. of Civil Engineering, Univ. of Baghdad.
Rasheed, H. A., and M. Raheem. 2019. “Objective model to predict shear capacity of spike anchor.” In Proc., 7th Asia-Pacific Conf. on FRP in Structures APFIS 2019. Brisbane, Australia: International Centre for Composites in Infrastructure.
Triantafillou, T. C., and C. P. Antonopoulos. 2000. “Design of concrete flexural members strengthened in shear with FRP.” J. Compos. Constr. 4 (4): 198–205. https://doi.org/10.1061/(ASCE)1090-0268(2000)4:4(198).
Wakjira, T. G., and U. Ebead. 2019. “Internal transverse reinforcement configuration effect of EB/NSE-FRCM shear strengthening of RC deep beams.” Composites, Part B 166 (Jun): 758–772. https://doi.org/10.1016/j.compositesb.2019.03.004.
Zaki, M. A., H. A. Rasheed, R. R. Roukerd, and M. Raheem. 2020. “Performance of reinforced concrete T beams strengthened with flexural CFRP sheets and secured using CFRP splay anchors.” Eng. Struct. 210 (May): 110304. https://doi.org/10.1016/j.engstruct.2020.110304.
Zhang, Z., C. T. T. Hsu, and J. Moren. 2004. “Shear strengthening of reinforced concrete deep beams using carbon fiber reinforced polymer laminates.” J. Compos. Constr. 8 (5): 403–414. https://doi.org/10.1061/(ASCE)1090-0268(2004)8:5(403).
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Received: Feb 7, 2021
Accepted: Jul 1, 2021
Published online: Sep 21, 2021
Published in print: Dec 1, 2021
Discussion open until: Feb 21, 2022
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- Novel Truss Analogy Model to Predict Full Response of Reinforced Concrete Deep Beams, ACI Structural Journal, 10.14359/51734655, 119, 4, (2022).