Abstract
This article presents an investigation on corrosion damage effects on the shear bearing capacity of reinforced concrete (RC) beams after a fire. Accelerated corrosion tests were conducted using four RC beams designed with corrosion crack widths ranging from 0.1 mm to 0.3 mm to simulate an aggressive corrosion-prone environment. One control beam (B1) did not undergo accelerated corrosion. The fire test was conducted separately on each beam for two hours to explore how the different widths of corrosive cracks affect heat propagation at elevated fire-induced temperatures. A residual capacity test determined the effects of corrosion on the beams’ residual shear strength after a fire. The experimental results showed that corrosion cracks accelerate the heat propagation in concrete during a fire; moreover, the post-fire residual shear strength for corroded RC beams slightly decreased with an increasing degree of corrosion on the stirrups. The authors also developed a corresponding simplified calculating method to determine residual shear strength, which showed shear design provisions that could improve some existing codes.
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Abbreviations
- A :
-
Atomic weight of Fe (56 g)
- A ij :
-
The area of segment ij
- A v :
-
The area of shear reinforcement within spacing s (mm)
- b w :
-
The web width (mm)
- d :
-
The effective depth of beams (mm)
- d v :
-
0.9d
- E c :
-
The elasticity modulus of concrete at 20oC (MPa)
- E c(T):
-
The residual elasticity modulus of concrete after fire (MPa)
- E c,ave :
-
The residual elasticity modulus of concrete in the area (MPa)
- E c,ij(T):
-
The residual elasticity modulus of concrete in segment ij (MPa)
- E s :
-
The residual elasticity modulus of steel (MPa)
- E s(T):
-
The residual elasticity modulus of steel after the fire test
- F :
-
Faraday’s constant (96500A·s)
- f′c(T):
-
The residual compressive strength of concrete after the fire test (MPa)
- f′c, i :
-
The weighted average residual compressive strength of concrete in layer i (MPa)
- f′ c,ij(T):
-
The residual compressive strength of concrete in segment ij (MPa)
- f cu :
-
The cube compressive strength of concrete at 20oC (MPa)
- f cu(T):
-
The cube compressive strength of concrete after the fire test (MPa)
- f yv :
-
The yield strength of stirrups (MPa)
- f yv(T):
-
The residual yield strength of stirrups after the fire test
- f yv,c(T):
-
The post fire yield strength of corroding stirrups
- i :
-
Electric current density (A/cm2)
- m 0 :
-
The mass of the uncorroded steel bar (g)
- m c :
-
The mass of corroded steel bar (g)
- n :
-
Es/Ec
- r :
-
Radius of stirrups (cm)
- s :
-
The space between stirrups (mm)
- S d :
-
The combination value of load during service
- \({S_{{G_j}k}}\) :
-
The permanent load
- \({S_{{G_j}k}}\) :
-
The permanent load
- t :
-
Corrosion time (s)
- V c :
-
The shear capacity of the crushing of the inclined concrete
- V s :
-
The shear capacity of the yielding of stirrups
- V u :
-
The shear capacity of the beam
- Z :
-
Chemical valence of anode (+2)
- β :
-
The factor used to account for the shear resistance factor of cracked concrete, 0.16
- \({\gamma _{{G_j}}}\) :
-
The partial factor of permanent load, 1.35
- \({\gamma _{{L_i}}}\) :
-
The adjustment coefficient of variable load due to service life period.1.0
- \({\gamma _{{Q_j}}}\) :
-
The partial factor of variable t load, 1.4
- η s,test :
-
The testing degree of corrosion
- η s,theoretical :
-
Theoretical degree of corrosion
- θ u :
-
The inclination of the diagonal crack
- λ :
-
The factor used to account for low-density concrete, 1
- ρ :
-
The density of iron (g/cm3)
- ρ s :
-
Tensile reinforcement ratio
- ρ v :
-
Stirrup reinforcement ratio
- v :
-
The shear stress of the total cross-section
- v c :
-
The shear stress provided by concrete, where vc = 0.4v
- ϕ c :
-
The resistance factor for concrete, 0.65
- ϕ s :
-
The resistance factor for non-prestressed reinforcing bars, 0.85
- \({\psi _{{c_i}}}\) :
-
Combination coefficient of variable load, 1.0
- ω :
-
The mechanical shear-reinforcement ratio, \(0.01 \le \left({\omega = {{{\rho _v}{f_y}} \over {{f_c}\prime}}} \right) \le 0.2\)
References
AASHTO (2017) AASHTO LRFD bridge design specifications, 8th edition. American Association of State Highway and Transportation Officials, Washington DC, USA
ABAQUS (2019) ABAQUS analysis user’s manual. ABAQUS Inc., Providence, RI, USA
ACI 318R-11 (2019) Building code requirements for structural concrete and commentary. ACI 318R-11, American Concrete Institute, Farmington Hills, MI, USA
Almusallam AA (2001) Effect of degree of corrosion on the properties of reinforcing steel bars. Construction & Building Materials 15(8): 361–368, DOI: https://doi.org/10.1016/s0950-0618(01)00009-5
Alonso C, Andrade C, Rodriguez J (1998) Factors controlling cracking of concrete affected by reinforcement corrosion. Materials and Structures 31(7):435–441, DOI: https://doi.org/10.1007/bf02480466
Ba GZ, Miao JJ, Zhang WP, Liu CW (2016) Influence of cracking on heat propagation in reinforced concrete structures. Journal of Structural Engineering 142(7), DOI: https://doi.org/10.1061/(ASCE)st.1943-541x.0001483
Ba GZ, Miao JJ, Zhang WP, Liu JL (2019) Influence of reinforcement corrosion on fire performance of reinforced concrete beams. Construction & Building Materials 213:738–747, DOI: https://doi.org/10.1016/j.conbuildmat.2019.04.065
CEN (2004) Design of concrete structures. 1–2: General rules-structural fire design. Eurocode 2, European Committee for Standardization, Brussels, Belgium
CEN (2005) Eurocode 2 — Design of concrete structures: Part 1–1. General rules and rules for buildings. CEN 1992-1-1, European Committee for Standardization, Brussels, Belgium
Chang YF, Chen YH, Sheu MS, Yao GC (2006) Residual stress-strain relationship for concrete after exposure to high temperatures. Cement & Concrete Research 36(10):1999–2005, DOI: https://doi.org/10.1016/j.cemconres.2006.05.029
Collins MP, Mitchell D (1991) Prestressed concrete structures. Prentice Hall, Englewood Cliffs, NJ, USA
CSA (2004) Design of concrete structures. CAN CSA A23.3-04, Canadian Standards Association, Rexdale, ON, Canada
De Wilder K, De Roeck, Vandewalle L (2016) Experimental analysis of the shear behaviour of prestressed and reinforced concrete beams. European Journal of Environmental & Civil Engineering 22(3)
Demir A, Caglar N, Ozturk H, Sumer Y (2016) Nonlinear finite element study on the improvement of shear capacity in reinforced concrete T-section beams by an alternative diagonal shear reinforcement. Engineering Structures 120(8):158–165, DOI: https://doi.org/10.1016/j.engstruct.2016.04.029
Fang CQ, Lundgren K, Chen LG, Zhu CY (2004) Corrosion influence on bond in reinforced concrete. Cement & Concrete Research 34(11):2159–2167, DOI: https://doi.org/10.1016/j.cemconres.2004.04.006
GB50010-2010 (2010) Code for design of concrete structures. GB50010-2010, China Academy of Building Research, Beijing, China (in Chinese)
GB50010-2012 (2012) Load code for the design of building structures. GB50010-2012, China Academy of Building Research, Beijing, China (in Chinese)
He ZQ, Liu Z, Ma ZJ (2016) Simplified shear design of slender reinforced concrete beams with stirrups. Journal of Structural Engineering 142(2):5, DOI: https://doi.org/10.1061/(ASCE)st.1943-541x.0001394
ISO 834 (1975) Fire resistance tests-elements of building construction. International Standard ISO 834, Geneva, Switzerland
Karayannis CG, Chalioris CE (2013) Shear tests of reinforced concrete beams with continuous rectangular spiral reinforcement. Construction & Building Materials 46(9):86–97, DOI: https://doi.org/10.1016/j.conbuildmat.2013.04.023
Lachemi M, Al-Bayati N, Sahmaran M, Anil O (2014) The effect of corrosion on shear behavior of reinforced self-consolidating concrete beams. Engineering Structures 79:1–12, DOI: https://doi.org/10.1016/j.engstruct.2014.07.044
Miao JJ, Liu F, Liu YC, Chen N (2014) Experimental research on fire resistance performance for RC beams with damages caused by marine environment. Journal of Building Structures 35(9):64–71, DOI: https://doi.org/10.14006/j.jzjgxb.2014.09.009 (in Chinese)
Pan ZF, Li B (2013) Evaluation of shear strength design methodologies for slender shear-critical RC beams. Journal of Structural Engineering 139:619–622, DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000634
Porcari GL, Zalok E, Isgor O (2012) Fire performance of corrosion-damaged reinforced concrete beams. Journal of Structural Fire Engineering 3(4):311–326
Russo G, Mitri D, Pauletta M (2013) Shear strength design formula for RC beams with stirrups. Engineering Structures 51(2):226–235, DOI: https://doi.org/10.1016/j.engstruct.2013.01.024
Topçu İB, Boga AR, Demir A (2010) The effect of elevated temperatures on corroded and uncorroded reinforcement embedded in mortar. Construction & Building Materials 24(11):2101–2107, DOI: https://doi.org/10.1016/j.conbuildmat.2010.04.050
Val DV (2007) Deterioration of strength of RC beams due to corrosion and its influence on beam reliability. Journal of Structural Engineering 133(9):1297–1306, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2007)133:9(1297)
Vecchio FJ, Collins MP (1986) The modified compression-field theory for reinforced concrete elements subjected to shear. ACI Journal 83(2):219–231
Vidal T, Castel A, François R (2004) Analyzing crack width to predict corrosion in reinforced concrete. Cement & Concrete Research 34(1):165–174, DOI: https://doi.org/10.1016/S0008-8846(03)00246-1
Wang LP, Zhang XH, Zhang JR, Ma YF, Liu YM (2015) Effects of stirrup and inclined bar corrosion on shear behavior of RC beams. Construction & Building Materials 98:537–546, DOI: https://doi.org/10.1016/j.conbuildmat.2015.07.077
Zhang WP, Chen H, Gu XL (2016a) Bond behaviour between corroded steel bars and concrete under different strain rates. Magazine of Concrete Research 68(7):364–378, DOI: https://doi.org/10.1680/jmacr.15.00174
Zhang WP, Song XB, Gu XL, Li SB (2012) Tensile and fatigue behavior of corroded rebars. Construction & Building Materials 34:409–417, DOI: https://doi.org/10.1016/j.conbuildmat.2012.02.071
Zhang WP, Ye ZW, Gu XL (2016b) Effects of stirrup corrosion on shear behaviour of reinforced concrete beams. Structure & Infrastructure Engineering 13(8):1081–1092, DOI: https://doi.org/10.1080/15732479.2016.1243563
Zhang WP, Zhou BB, Gu XL, Dai HC (2014) Probability distribution model for cross-sectional area of corroded reinforcing steel bars. Journal of Materials in Civil Engineering 26(5):822–832, DOI: https://doi.org/10.1061/(asce)mt.1943-5533.0000888
Acknowledgments
This research work was funded by the National Natural Science Foundation of China (grant number 51179081) and the Natural Science Foundation of Shandong Province (grant number ZR2017MEE029). The authors deeply appreciate their support.
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Liu, J., Miao, J., Ba, G. et al. Effect of Stirrup Corrosion and Fire on Shear Behavior of Reinforced Concrete Beams. KSCE J Civ Eng 25, 3424–3436 (2021). https://doi.org/10.1007/s12205-021-1647-8
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DOI: https://doi.org/10.1007/s12205-021-1647-8