Evaluating Time-Dependent Reliability and Probability of Failure of Reinforced-Concrete Bridge Components and Predicting Residual Capacity after Subsequent Rehabilitation
Publication: Journal of Performance of Constructed Facilities
Volume 31, Issue 3
Abstract
The load-carrying capacity of reinforced concrete bridges can degrade over their service life through the initiation of deterioration mechanisms induced by fatigue, corrosion, cracks, and spalling. Analyses of residual capacity and time-dependent reliability of such bridges are significantly important information in the decision-making process of identifying the nature and timing of rehabilitation. It is noted in the literature that deterioration mechanisms such as chloride ingress, sulfate attack, and alkali-silica reaction have variable rates of deterioration governed by a large number of uncertain parameters. In such instances, a probabilistic approach provides a rational basis for estimating the uncertainties of residual capacity and reliability. In this paper, the authors present a probabilistic method to evaluate the time-dependent reliability and failure of concrete bridge elements. The probabilistic distribution of surface chloride concentration, diffusion coefficient, critical chloride concentration, and material variables were identified from literature. Monte Carlo simulation was employed for modeling the increases of live loads and the degradation of the component to obtain the time-dependent reliability curves for design service life. The methodology is further demonstrated by a pier column as an illustrative example. Results showed the reduction in resistance and the risk of failure periods. Further parametric studies showed that concrete cover depth and water-cement ratio have significant influence on the time-dependent probability of failure and reliability index. Overall, it has been shown that the methodology is generic and valuable information on residual capacity and time-dependent probability of failure can be applied to performance assessment and lifecycle for both new and existing structures.
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References
@RISK version 5.0 [Computer software]. Palisade, Ithaca, NY.
MATLAB [Computer software]. MathWorks, Natick, MA.
Collins, F. G., and Grace, W. R. (1997). “Specifications and testing for corrosion durability of marine concrete: The Australian perspective (ACI SP 170-39).” Proc., 4th CANMET/ACI Int. Conf. on Durability of Concrete, ACI Special Publication, Farmington Hills, MI, 757–776.
Enright, M. P., and Frangopol, D. M. (1998). “Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion.” Eng. Struct., 20(11), 960–971.
Frangopol, D. M. (2011). “Life-cycle performance, management, and optimisation of structural systems under uncertainty: Accomplishments and challenges 1.” Struct. Infrastruct. Eng., 7(6), 389–413.
Gonzalez, J., Andrade, C., Alonso, C., and Feliu, S. (1995). “Comparison of rates of general corrosion and maximum pitting penetration on concrete embedded steel reinforcement.” Cem. Concr. Res., 25(2), 257–264.
Hoffman, P., and Weyers, R. E. (1994). “Predicting critical chloride levels in concrete bridge decks.” Structural Safety and Reliability: Proc., ICOSSAR'93, A.A. Balkema, Rotterdam, Netherlands, 957–959.
Hunkeler, F. (2005). “Corrosion in reinforced concrete: Processes and mechanisms.” Corrosion in reinforced concrete structures, H. Bohni, ed., Cambridge, U.K., 1–42.
Leira, B. J., Lindgard, J., and Melchers, R. (2000). “Statistics analysis of laboratory test data for service life prediction of concrete subjected to chloride ingress.” Int. Conf. on Applications of Statistics and Probability, A.A. Balkema, Rotterdam, Netherlands, 291–295.
Li, C. (2003). “Life cycle modeling of corrosion affected concrete structures-initiation.” J. Mater. Civ. Eng., 594–601.
Liu, T., and Weyers, R. (1998). “Modeling the dynamic corrosion process in chloride contaminated concrete structures.” Cem. Concr. Res., 28(3), 365–379.
Mangat, P. (1994). “Underwater concreting and repair.” Durability of concrete underwater, Helsted Press, Wiley, New York, 115.
McGee, R. W. (1999). “Modelling of durability performance of Tasmanian bridges.” Proc., ICASP 8th Int. Conf. on the Applications of Statistics and Probability in Civil Engineering, A.A. Balkema, Rotterdam, Netherlands, 297–306.
Papadakis, V., Roumeliotis, A., Fardis, M., and Vagenas, C. (1996). “Mathematical modelling of chloride effect on concrete durability and protection measures.” Concrete repair, rehabilitation and protection, R. Dhir and M. Jones, eds., E&F Spon, London, 165–174.
Radojičić, A., Bailey, S. F., and Brüwiler, E. (2001). “Probabilistic models of cost for the management of existing structures.” Life-Cycle Cost Analysis and Design of Civil Infrastructure Systems, ASCE, Reston, VA, 251–270.
Rendell, F., Jauberthie, R., and Grantham, M. (2002). Deteriorated concrete: Inspection and physicochemical analysis, Thomas Telford, London, 29–54.
Rodriguez, J., Ortega, L. M., and Casal, J. (1997). “Load carrying capacity of concrete structures with corroded reinforcement.” Constr. Build. Mater., 11(4), 239–248.
Ryal, M. J. (2009). Bridge management, Taylor & Francis, Oxford, U.K.
Stewart, M. G. (2001). “Reliability-based assessment of ageing bridges using risk ranking and life cycle cost decision analyses.” Reliab. Eng. Syst. Saf., 74(3), 263–273.
Stewart, M. G., and Rosowsky, D. V. (1998). “Structural safety and serviceability of concrete bridges subject to corrosion.” J. Infrastruct. Syst., 146–155.
Thoft-Christensen, P. (1998). “Assessment of the reliability profiles for concrete bridges.” Eng. Struct., 20(11), 1004–1009.
Val, D. V., and Melchers, R. E. (1997). “Reliability of deteriorating RC slab bridges.” J. Struct. Eng., 1638–1644.
Val, D. V., and Stewart, M. G. (2003). “Life-cycle cost analysis of reinforced concrete structures in marine environments.” Struct. Saf., 25(4), 343–362.
Val, D. V., Stewart, M. G., and Melchers, R. E. (1998). “Effect of reinforcement corrosion on the reliability of highway bridges.” Eng. Struct., 20(11), 1010–1019.
Vu, K. A. T., and Stewart, M. G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Saf., 22(4), 313–333.
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©2017 American Society of Civil Engineers.
History
Received: May 7, 2015
Accepted: Sep 14, 2016
Published ahead of print: Feb 2, 2017
Published online: Feb 3, 2017
Published in print: Jun 1, 2017
Discussion open until: Jul 3, 2017
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