Reliability Analysis of Corroded Reinforced Concrete Beams Using Enhanced HL-RF Method

Document Type : Research Papers

Authors

1 Lecture, Department of Civil Engineering, Farsan Branch, Islamic Azad University, Farsan, Iran

2 Assistant Professor, Department of Civil Engineering, University of Zabol, P.O.Box: 9861335-856, Zabol, Iran.

Abstract

Steel corrosion of bars in concrete structures is a complex process which leads to the reduction of the cross-section bars and decreasing the resistance of the concrete and steel materials. In this study, reliability analysis of a reinforced concrete beam with corrosion defects under the distributed load was investigated using the enhanced Hasofer-Lind and Rackwitz-Fiessler (EHL-RF) method based on relaxed approach. Robustness of the EHL-RF algorithm was compared with the HL-RF using a complicated example. It was seen that the EHL-RF algorithm is more robust than the HL-RF method. Finally, the effects of corrosion time were investigated using the EHL-RF algorithm for a reinforced concrete beam based on flexural strength in the pitting and general corrosion. The model uncertainties were considered in the resistance and load terms of flexural strength limit state function. The results illustrated that increasing the corrosion time-period leads to increase in the failure probability of the corroded concrete beam.

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Bhargava, K., Mori, Y. and Ghosh, A.K. (2011). “Time-dependent reliability of corrosion-affected RC beams-Part 1: Estimation of time-dependent strengths and associated variability”, Nuclear Engineering and Design, 241(5), 1371-1384.
Cairns, J., Plizzari, G.A., Du, Y., Law, D.W. and Franzoni, C. (2005). “Mechanical properties of corrosion-damaged reinforcement”, ACI Materials Journal, 102(4), 256-64.
Darmawan, M.S. (2010). “Pitting corrosion model for reinforced concrete structures in a chloride environment”, Magazine of Concrete Research, 62(2), 91-101.
Hasofer, A.M. and Lind, N.C. (1974). “Exact and invariant second moment code format”, Journal of the Engineering Mechanics Division, 100(1), 111-121.
Keshtegar, B. and Miri, M. (2013). “An enhanced HL-RF Method for the computation of structural failure probability based on relaxed approach”, Civil Engineering Infrastructures Journal, 46(1), 69-80.
Keshtegar, B. and Miri, M. (2014a). “Introducing Conjugate gradient optimization for modified HL-RF method”, Engineering Computations, 31)4(, 775-790.
Keshtegar, B., Miri, M., (2014b), “Reliability analysis of corroded pipes using conjugate HL–RF algorithm based on average shear stress yield criterion”, Engineering Failure Analysis, 46, 104-117.
Liu, P.L. and Kiureghian, A.D. (1991). “Optimization algorithms for structural reliability”, Structural Safety, 9(3), 161-178.
Naess, A., Leira, B.J. and Batsevych, O. (2009). “System reliability analysis by enhanced Monte Carlo simulation”, Structural Safety, 31(5), 349-355.
Nowak, A.S. and Collins, K.R. (2000). Reliability of Structures, McGraw-Hill.
Rackwitz, R. and Fiessler, B. (1978). “Structural reliability under combined load sequences”, Computers and Structures, 9(8), 489-494.
Rondringuez, J., Ortega, L.M., Casal, J. and Diez, J.M. (1996). “Corrosion of reinforcement and service life of concrete structures”, Durability of Building Materials and Components, 7(1), 117-126.
Santosh, T.V., Saraf, R.K., Ghosh, A.K. and Kushwaha, H.S. (2006). “Optimum step length selection rule in modified HL-RF method for structural reliability”, International journal of Pressure Vessels Piping, 83(10), 742-748.
Stewart, M.G. (2004). “Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure”, Structural Safety, 26(4), 453-70.
Stewart, M.G. (2009). “Mechanical behaviour of pitting corrosion of flexural and shear reinforcement and its effect on structural reliability of corroding RC beams”, Structural Safety, 31(1), 19-30.
Stewart, M.G. and Al-Harthy, A. (2008). “Pitting corrosion and structural reliability of corroding RC structures, experimental data and probabilistic analysis”, Reliability Engineering and System Safety, 93(3), 273-382.
Stewart, M.G. and Rosowsky, D.V. (1998). “Time-dependent reliability of deteriorating reinforced concrete bridge decks”, Structural Safety, 20, 91-109.
Tarighat, A. and Jalalifar, F. (2014). “ Assessing the Performance of Corroding RC Bridge Decks: A Critical Review of Corrosion Propagation Models”, Civil Engineering Infrastructures Journal, 47(2), 173-186.
Vu, K. and Stewart, M.G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models”, Structural Safety, 22(4), 313-333.
Vu, K., Stewart, M.G. and Mullard, J., (2005). “Corrosion-induced cracking: Experimental data and predictive models”, ACI Structural Journal, 102(5), 719-726.
Yang, D. (2010). “Chaos control for numerical instability of first order reliability method”, Communications in Nonlinear Science and Numerical Simulation, 15(10), 3131-3141.