Abstract
Although torsion is usually considered a secondary consideration in structural design, it can lead to failures, especially in structures with irregular geometry exposed to seismic forces or in unique situations. While some studies have explored the size effect on the torsional behavior of RC beams, none have addressed the impact of reinforcement. This paper investigates the size effect on the torsional behavior of RC beams with varying reinforcement ratios, including both FRP sheets and steel rebars. In this study, the torsional behavior of reinforced concrete (RC) beams with and without FRP strengthening was investigated numerically. Modeling was carried out by Finite element (FE) software ABAQUS and validated using experimental data from literature. The torsional behavior of 24 models with differences in cross-section size and reinforcement ratio were investigated. Concrete damage plasticity, Hashin damage criteria, and von Mises stress were used to investigate the damage in concrete, FRP, and steel, respectively. The cracking torsional moment, ultimate torsional moment, and torque-twist curve of the beams were evaluated and presented. The results indicated the presence of a significant size effect in the torsional strength of beams. After reinforcing the beams with FRP fabrics, the average cracking moment increased by a range of 1.72% to 36% across different groups of beams. An 8.2% increase in ultimate strength is observed with just a 0.4% rise in the FRP strengthening ratio. Post-cracking behavior was seen in 8 models with adequate steel and FRP reinforcement ratio.
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ACI 318-08 (2008) Building code requirements for structural concrete (ACI 318-08) and commentary. ACI 318-08
Agarwal P, Gupta A, Angadi RG (2014) Effect of FRP wrapping on axial behavior of concrete and cyclic behavior of external RC beam column joints. KSCE Journal of Civil Engineering 18(2):566–573, DOI: https://doi.org/10.1007/s12205-014-0259-y
Akguzel U (2011) Seismic performance of FRP retrofitted exterior RC beam-column joints under varying axial and bidirectional loading. PhD Thesis, University of Canterbury, New Zealand, DOI: https://doi.org/10.26021/2821
Al-Rousan RZ, Issa MA (2017) Flexural behavior of RC beams externally strengthened with CFRP composites exposed to severe environment conditions. KSCE Journal of Civil Engineering 21(6):2300–2309, DOI: https://doi.org/10.1007/s12205-016-0570-x
Alabdulhady MY, Sneed LH (2019) Torsional strengthening of reinforced concrete beams with externally bonded composites: A state of the art review. Construction and Building Materials 205:148–163, DOI: https://doi.org/10.1016/j.conbuildmat.2019.01.163
Ameli M, Ronagh HR, Dux P (2007) Behavior of FRP strengthened reinforced concrete beams under torsion. Journal of Composites for Construction 11(2):192–200, DOI: https://doi.org/10.1061/(ASCE)1090-0268(2007)11:2(192)
Bakis CE, Bank LC, Brown VL, Cosenza E, Davalos JF, Lesko JJ, Machida A, Rizkalla SH, Triantafillou TC (2002) Fiber-reinforced polymer composites for construction-state-of-the-art review. Journal of Composites for Construction 6(2):73–87, DOI: https://doi.org/10.1061/(ASCE)1090-0268(2002)6:2(73)
Bažant ZP, Şener S (1987) Size effect in torsional failure of concrete beams. Journal of Structural Engineering 113(10):2125–2136, DOI: https://doi.org/10.1061/(ASCE)0733-9445(1987)113:10(2125)
Bažant ZP, Şener S, Prat PC (1988) Size effect tests of torsional failure of plain and reinforced concrete beams. Materials and Structures 21(6):425–430, DOI: https://doi.org/10.1007/BF02472322
Chalioris C (2008) Torsional strengthening of rectangular and flanged beams using carbon fibre-reinforced-polymers–Experimental study. Construction and Building Materials 22(1):21–29, DOI: https://doi.org/10.1016/j.conbuildmat.2006.09.003
Chen W, Pham TM, Sichembe H, Chen L, Hao H (2018) Experimental study of flexural behaviour of RC beams strengthened by longitudinal and U-shaped basalt FRP sheet. Composites Part B: Engineering 134:114–126, DOI: https://doi.org/10.1016/j.compositesb.2017.09.053
Cheng L, Karbhari VM (2006) New bridge systems using FRP composites and concrete: A state-of-the-art review. Progress in Structural Engineering and Materials 8(4):143–154, DOI: https://doi.org/10.1002/pse.221
Demin W, Fukang H (2017) Investigation for plastic damage constitutive models of the concrete material. Procedia Engineering 210:71–78, DOI: https://doi.org/10.1016/j.proeng.2017.11.050
Dönmez A, Bažant ZP (2017) Size effect on punching strength of reinforced concrete slabs with and without shear reinforcement. ACI Structural Journal 114(4):875, DOI: https://doi.org/10.14359/51689719
Ganganagoudar A, Mondal TG, Prakash SS (2016) Analytical and finite element studies on behavior of FRP strengthened RC beams under torsion. Composite Structures 153:876–885, DOI: https://doi.org/10.1016/j.compstruct.2016.07.014
Ghobarah A, Ghorbel M, Chidiac S (2002) Upgrading torsional resistance of reinforced concrete beams using fiber-reinforced polymer. Journal of Composites for Construction 6(4):257–263, DOI: https://doi.org/10.1061/(ASCE)1090-0268(2002)6:4(257)
Godat A, Neale KW, Labossière P (2007) Numerical modeling of FRP shear-strengthened reinforced concrete beams. Journal of Composites for Construction 11(6):640–649, DOI: https://doi.org/10.1061/(ASCE)1090-0268(2007)11:6(640)
Grace NF, Jensen EA, Eamon CD, Shi X (2012) Life-cycle cost analysis of carbon fiber-reinforced polymer reinforced concrete bridges. ACI Structural Journal 109(5):697–704, DOI: https://doi.org/10.14359/51684047
Greene Jr GG (2006) Behavior of reinforced concrete girders under cyclic torsion and torsion combined with shear: Experimental investigation and analytical models. Doctoral Dissertation, University of Missouri-Rolla, http://merlin.lib.umsystem.edu/record=b5795688~S5
Hii AKY, Al-Mahaidi R (2006) An experimental and numerical investigation on torsional strengthening of solid and box-section RC beams using CFRP laminates. Composite Structures 75(1–4):213–221, DOI: https://doi.org/10.1016/j.compstruct.2006.04.050
Hussain Q, Pimanmas A (2015) Shear strengthening of RC deep beams with openings using sprayed glass fiber reinforced polymer composites (SGFRP): Part 1. Experimental study. KSCE Journal of Civil Engineering 19(7):2121–2133, DOI: https://doi.org/10.1007/s12205-015-0243-1
Jumaa GB, Yousif AR (2019) Size effect in shear failure of high strength concrete beams without stirrup reinforced with basalt FRP bars. KSCE Journal of Civil Engineering 23(4):1636–1650, DOI: https://doi.org/10.1007/s12205-019-0121-3
Kara IF, Ashour A (2012) Flexural performance of FRP reinforced concrete beams. Composite Structures 94(5):1616–1625, DOI: https://doi.org/10.1016/j.compstruct.2011.12.012
Kirane K, Singh KD, Bažant ZP (2016) Size effect in torsional strength of plain and reinforced concrete. ACI Structural Journal 113(6): DOI: https://doi.org/10.14359/51689149
Lee SH, Abolmaali A, Shin KJ, Lee HD (2020) ABAQUS modeling for post-tensioned reinforced concrete beams. Journal of Building Engineering 30:101273, DOI: https://doi.org/10.1016/j.jobe.2020.101273
Majed MM, Tavakkolizadeh M, Allawi AA (2021) Finite element analysis of rectangular RC beams strengthened with FRP laminates under pure torsion. Structural Concrete 22(4):1946–1961, DOI: https://doi.org/10.1002/suco.202000291
Manos GC, Theofanous M, Katakalos K (2014) Numerical simulation of the shear behaviour of reinforced concrete rectangular beam specimens with or without FRP-strip shear reinforcement. Advances in Engineering Software 67:47–56, DOI: https://doi.org/10.1016/j.advengsoft.2013.08.001
Mirrashid M, Naderpour H (2021) Recent trends in prediction of concrete elements behavior using soft computing (2010–2020). Archives of Computational Methods in Engineering 28:3307–3327, DOI: https://doi.org/10.1007/s11831-020-09500-7
Mohammadi T, Wan B, Harries K (2013) Intermediate crack debonding model of FRP-strengthened concrete beams using XFEM. In Proceedings of the Simulia Community Conference, DOI: https://doi.org/10.13140/RG.2.1.3597.2641
Mondal TG, Prakash SS (2016) Nonlinear finite-element analysis of RC bridge columns under torsion with and without axial compression. Journal of Bridge Engineering 21(2):04015037, DOI: https://doi.org/10.1061/%28ASCE%29BE.1943-5592.0000798
Naderpour H, Haji M, Mirrashid M (2020) Shear capacity estimation of FRP-reinforced concrete beams using computational intelligence. Structures 28:321–328, Elsevier, DOI: https://doi.org/10.1016/j.istruc.2020.08.076
Naderpour H, Mirrashid M (2020) A novel definition of damage states for structural elements in framed reinforced concrete buildings. Journal of Building Engineering 32:101479, DOI: https://doi.org/10.1016/j.jobe.2020.101479
Obaidat YT, Heyden S, Dahlblom O (2010) The effect of CFRP and CFRP/concrete interface models when modelling retrofitted RC beams with FEM. Composite Structures 92(6):1391–1398, DOI: https://doi.org/10.1016/j.compstruct.2009.11.008
Önal MM, Zengin B, Koçak A, Doran B (2014) An experimental investigation on flexural behavior of RC beams strengthened with different techniques. KSCE Journal of Civil Engineering 18(7):2162–2169, DOI: https://doi.org/10.1007/s12205-014-1353-x
Panchacharam S, Belarbi A (2002) Torsional behavior of reinforced concrete beams strengthened with FRP composites. First FIB Congress, Osaka, Japan, DOI: https://doi.org/10.1177/1369433220988625
Pawłowski D, Szumigala M (2015) Flexural behaviour of full-scale basalt FRP RC beams–experimental and numerical studies. Procedia Engineering 108:518–525, DOI: https://doi.org/10.1016/j.proeng.2015.06.114
Prakash M, Abishek VL, Abishek R, Devarajan K (2016) Numerical simulation of low velocity impact analysis of fiber metal laminates. Mechanics and Mechanical Engineering 20(4):515–530
Raza A, Khan QuZ, Ahmad A (2020) Prediction of axial compressive strength for FRP-confined concrete compression members. KSCE Journal of Civil Engineering 24:2099–2109, DOI: https://doi.org/10.1007/s12205-020-1682-x
Sæther I, Sand B (2012) FEM simulations of reinforced concrete beams attacked by corrosion. ACI Structural Journal 109(2):15–31, DOI: https://doi.org/10.1088/1757-899X/652/1/012031
Seo SY, Lee MS, Feo L (2016) Flexural analysis of RC beam strengthened by partially de-bonded NSM FRP strip. Composites Part B: Engineering 101: 21–30, DOI: https://doi.org/10.1016/j.compositesb.2016.06.056
Sharaky I, Baena M, Barris C, Sallam H, Torres L (2018) Effect of axial stiffness of NSM FRP reinforcement and concrete cover confinement on flexural behaviour of strengthened RC beams: Experimental and numerical study. Engineering Structures 173:987–1001, DOI: 10.1016%2Fj.engstruct.2018.07.062
Smith M (2009) ABAQUS/Standard User’s Manual, Version 6.9
Teng JG, Lam L, Chen JF (2004) Shear strengthening of RC beams with FRP composites. Progress in Structural Engineering and Materials 6(3):173–184, DOI: https://doi.org/10.1002/pse.179
Tibhe SB, Rathi VR (2016) Comparative experimental study on torsional behavior of RC beam using CFRP and GFRP fabric wrapping. Procedia Technology 24:140–147, DOI: https://doi.org/10.1016/j.protcy.2016.05.020
Wahalathantri BL, Thambiralnam D, Chan T, Fawzia S (2011) A material model for flexural crack simulation in reinforced concrete elements using ABAQUS. Proceedings of the first international conference on engineering, designing and developing the built environment for sustainable wellbeing, Queensland University of Technology
Yu F, Guan Y, Fang Y, Li D (2021) Experimental and numerical investigations of PVC-FRP confined concrete column-rc beam joint reinforced with core steel tube under axial load. KSCE Journal of Civil Engineering 25(12):4671–4685, DOI: https://doi.org/10.1007/s12205-021-0381-6
Yu T, Teng JG, Wong YL, Dong SL (2010) Finite element modeling of confined concrete-II: Plastic-damage model. Engineering Structures 32(3):680–691, DOI: https://doi.org/10.1016/j.engstruct.2009.11.013
Zheng YZ, Wang WW, Mosalam KM, Fang Q, Chen L, Zhu ZF (2020) Experimental investigation and numerical analysis of RC beams shear strengthened with FRP/ECC composite layer. Composite Structures 246:112436, DOI: https://doi.org/10.1016/j.compstruct.2020.112436
Zhou J, Shen W, Wang S (2017) Experimental study on torsional behavior of FRC and ECC beams reinforced with GFRP bars. Construction and Building Materials 152:74–81, DOI: https://doi.org/10.1016/j.conbuildmat.2017.06.131
Zimmermann S (2001) Normal strength concrete in multiaxial compression A 3D constitutive model (including ultimate failure behavior). Report TUE-BCO 01.05, Technische Universiteit Eindhoven, Eindhoven, Niederlande (in German)
Zou X, Lin H, Feng P, Bao Y, Wang J (2021) A review on FRP-concrete hybrid sections for bridge applications. Composite Structures 262:113336, DOI: https://doi.org/10.1016/j.compstruct.2020.113336
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Shokri, M., Edalati, M., Mirhosseini, S.M. et al. FE Analysis on Size Effect in Torsional Behavior of Rectangular RC Beams with and Without FRP Strengthening. KSCE J Civ Eng 28, 1836–1852 (2024). https://doi.org/10.1007/s12205-024-0020-0
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DOI: https://doi.org/10.1007/s12205-024-0020-0