Aging Considerations in the Development of Time-Dependent Seismic Fragility Curves
Publication: Journal of Structural Engineering
Volume 136, Issue 12
Abstract
This paper presents the formulation of a time-dependent seismic fragility format for bridges, as well as new insights into the potential effects of aging and deterioration on seismic vulnerability traditionally neglected in fragility modeling, including joint impacts of multiple component deterioration not investigated to date. The study evaluates the impact of lifetime exposure to chlorides from deicing salts on the seismic performance of multispan continuous highway bridges, considering corrosion of reinforced concrete columns and steel bridge bearings. The components’ degradation and their influence on seismic response are illustrated through three-dimensional nonlinear dynamic analysis. A full probabilistic analysis accounting for variation in bridge, ground motion, and corrosion parameters is conducted to develop time-dependent seismic fragility curves. These fragility curves indicate the evolving potential for component and system damage under seismic loading considering time-dependent corrosion-induced deterioration. The results indicate that while corrosion may actually decrease the seismic vulnerability of some components, most critical components suffer an increase in vulnerability. Quadratic models depicting the change in lognormal seismic fragility parameters are proposed to capture the time-dependent effect of aging on the fragility of the bridge system. Overall, the seismic vulnerability significantly increases throughout the lifetime of the representative bridge geometry, with a 32% shift in the median value of complete damage fragility near the end of the bridge’s life.
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Acknowledgments
The writers gratefully acknowledge the support from the National Science Foundation through grant CMMI-0928493.
References
Akgül, F., and Frangopol, D. M. (2004). “Lifetime performance analysis of existing prestressed concrete bridge superstructures.” J. Struct. Eng., 130(12), 1889–1903.
Albrecht, P., and Naeemi, A. (1984). Performance of weathering steel in bridges, National Cooperative Highway Research Program, Washington, D.C.
Aquino, W., and Hawkins, N. M. (2007). “Seismic retrofitting of corroded reinforced concrete columns using carbon composites.” ACI Struct. J., 104(3), 348–356.
ASCE. (2009). “ASCE: Infrastructure fact sheet.” ⟨http://www.infrastructurereportcard.org/sites/default/files/RC2009_bridges.pdf⟩ (May 22, 2009).
Basoz, N., and Kiremidjian, A. S. (1999). “Development of empirical fragility curves for bridges.” ASCE Technical Council on Lifeline Earthquake Engineering Monograph, ASCE, Reston, Va.
Basoz, N., and Mander, J. B. (1999). Enhancement of the highway transportation module in HAZUS, National Institute of Building Sciences, Washington, D.C.
Berahman, F., and Behnamfar, F. (2007). “Seismic fragility curves for un-anchored on-grade steel storage tanks: Bayesian approach.” J. Earthquake Eng., 11(2), 166–192.
Broomfield, J. P. (1997). Corrosion of steel in concrete, Taylor & Francis, London.
Buckle, G. (2006). Seismic retrofitting manual for highway structures, MCEER, Buffalo.
Choe, D., Gardoni, P., Rosowsky, D., and Haukaas, T. (2008). “Probabilistic capacity models and seismic fragility estimates for RC columns subject to corrosion.” Reliab. Eng. Syst. Saf., 93(3), 383–393.
Choe, D., Gardoni, P., Rosowsky, D., and Haukaas, T. (2009). “Seismic fragility estimates for reinforced concrete bridges subject to corrosion.” Struct. Safety, 31(4), 275–283.
Cimellaro, G., Reinhorn, A. M., and Bruneau, M. (2010). “Seismic resilience of a hospital system.” Struct. Infrastruct. Eng., 6(1), 127–144.
Cornell, C. A., Jalayer, F., Hamburger, R. O., and Foutch, D. A. (2002). “Probabilistic basis for 2000 SAC Federal Emergency Management Agency steel moment frame guidelines.” J. Struct. Eng., 128(4), 526–533.
Czarnecki, A. A., and Nowak, A. S. (2008). “Time-variant reliability profiles for steel girder bridges.” Struct. Safety, 30(1), 49–64.
Der Kiureghian, A. (2002). “Bayesian methods for seismic fragility assessment of lifeline components.” ASCE Council on Disaster Reduction and Technical Council on Lifeline Earthquake Engineering Monograph 21, ASCE, Reston, Va., 61–77.
Der Kiureghian, A., and Dakessian, T. (1998). “Multiple design points in first and second-order reliability.” Struct. Safety, 20(1), 37–49.
Edwards, R. V. (2006). Processing random data, World Scientific, Singapore.
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.
Enright, M. P., and Frangopol, D. M. (1999). “Condition prediction of deteriorating concrete bridges using Bayesian updating.” J. Struct. Eng., 125(10), 1118–1125.
Fang, C., Lundgren, K., Chen, L., and Zhu, C. (2004). “Corrosion influence on bond in reinforced concrete.” Cem. Concr. Res., 34(11), 2159–2167.
FHWA. (2009). “FHWA bridge programs NBI data.” ⟨http://www.fhwa.dot.gov/bridge/britab.cfm⟩ (March 29, 2009).
Frangopol, D. M., Lin, K. -Y., and Estes, A. (1997). “Reliability of reinforced concrete girders under corrosion attack.” J. Struct. Eng., 123(3), 286–297.
Gardoni, P., Der Kiureghian, A., and Mosalam, K. M. (2002). “Probabilistic capacity models and fragility estimates for reinforced concrete columns based on experimental observations.” J. Eng. Mech., 128(10), 1024–1038.
Graf, M., Nishijima, K., and Faber, M. (2009). “Bayesian updating in natural hazard risk assessment.” Australian Journal of Structural Engineering, 9(1), 35–44.
Hoeke, L. J. L., Singh, P. M., Moser, R. D., Kahn, L. F., and Kurtis, K. E. (2009). “Degradation of steel girder bridge bearing systems by corrosion.” Corrosion 2009, NACE—Int. Corrosion Conf. Series, National Association of Corrosion Engineers International, Atlanta, Ga.
Hoffman, P. C., and Weyers, R. E. (1996). “Probabilistic durability analysis of reinforced concrete bridge decks.” Proc., 1996 7th Specialty Conf. on Probabilistic Mechanics and Structural Reliability, ASCE, Worcester, Mass., 290–293.
Hwang, H., Liu, J. B., and Chiu, Y. (2001). “Seismic fragility analysis of highway bridges.” ⟨http://hdl.handle.net/2142/9267⟩ (Mar. 12, 2010).
Kayser, J. R., and Nowak, A. S. (1989). “Capacity loss due to corrosion in steel-girder bridges.” J. Struct. Eng., 115(6), 1525–1537.
Komp, M. (1987). “Atmospheric corrosion ratings of weathering steels-calculation and significance.” Materials Performance, 26(7), 42–44.
Koutsourelakis, P. (2010). “Assessing structural vulnerability against earthquakes using multi-dimensional fragility surfaces: A Bayesian framework.” Probab. Eng. Mech., 25(1), 49–60.
Li, J., Gong, J., and Wang, L. (2009). “Seismic behavior of corrosion-damaged reinforced concrete columns strengthened using combined carbon fiber-reinforced polymer and steel jacket.” Constr. Build. Mater., 23(7), 2653–2663.
Lindquist, L. (2008). “Corrosion of steel bridge girder anchor bolts.” MS thesis, Georgia Institute of Technology, Atlanta, Georgia.
Liu, C. (2005). “Evolutionary multiobjective optimization in engineering management: An empirical study on bridge deck rehabilitation.” Proc., 6th Int. Conf. on Parallel and Distributed Computing, Applications and Technologies, PDCAT 2005, Institute of Electrical and Electronics Engineers Computer Society, Dalian, China, 773–777.
Mackie, K., and Stojadinovic, B. (2001). “Probabilistic seismic demand model for California highway bridges.” J. Bridge Eng., 6(6), 468–481.
Mander, J. B., Kim, D., Chen, S., and Premus, G. (1996). Response of steel bridge bearings to reversed cyclic loading, NCEER, Buffalo.
Mazzoni, S., McKenna, F., Scott, M. H., and Fenves, G. L. (2009). OpenSees command language manual, Univ. of California, Berkeley, Calif.
Melchers, R. E. (1999). Structural reliability analysis and prediction, Wiley, New York (Import).
Melchers, R. E., and Frangopol, D. M. (2008). “Probabilistic modelling of structural degradation.” Reliab. Eng. Syst. Saf., 93(3), 363–500.
Montemor, M. F., Simões, A. M. P., and Ferreira, M. G. S. (2002). “Chloride-induced corrosion on reinforcing steel: From the fundamentals to the monitoring techniques.” Cem. Concr. Compos., 25(4–5), 491–502.
Nielson, B. (2005). “Analytical fragility curves for highway bridges in moderate seismic zones.” Ph.D. thesis, Georgia Institute of Technology, Atlanta, Ga.
Nielson, B. G., and DesRoches, R. (2007a). “Analytical seismic fragility curves for typical bridges in the Central and Southeastern United States.” Earthquake Spectra, 23(3), 615–633.
Nielson, B. G., and DesRoches, R. (2007b). “Seismic fragility methodology for highway bridges using a component level approach.” Earthquake Eng. Struct. Dyn., 36(6), 823–839.
Nowak, A. S., and Cho, T. (2007). “Prediction of the combination of failure modes for an arch bridge system.” J. Constr. Steel Res., 63(12), 1561–1569.
Padgett, J. E., and DesRoches, R. (2008). “Methodology for the development of analytical fragility curves for retrofitted bridges.” Earthquake Eng. Struct. Dyn., 37(8), 1157–1174.
Pantazopoulou, S., Bonacci, J., Sheikh, S., Thomas, M., and Hearn, N. (2001). “Repair of corrosion-damaged columns with FRP wraps.” J. Compos. Constr., 5(1), 3–11.
Rix, G., and Fernandez, J. (2004). “Earthquake ground motion simulation.” ⟨http://geosystems.ce.gatech.edu/soil_dynamics/research/groundmotionsembay/⟩ (Oct. 19, 2009).
Shinozuka, M., Feng, M. Q., Kim, H., and Kim, S. (2000). “Nonlinear static procedure for fragility curve development.” J. Eng. Mech., 126(12), 1287–1295.
Silano, L. G., and Brinckerhoff, P. (1993). Bridge inspection and rehabilitation, Wiley-IEEE, New York.
Singhal, A., and Kiremidjian, A. S. (1998). “Bayesian updating of fragilities with application to RC frames.” J. Struct. Eng., 124(8), 922–929.
Stewart, M. G., and Rosowsky, D. V. (1998). “Time-dependent reliability of deteriorating reinforced concrete bridge decks.” Struct. Safety, 20(1), 91–109.
Straub, D., and Der Kiureghian, A. (2008). “Improved seismic fragility modeling from empirical data.” Struct. Safety, 30(4), 320–336.
Thoft-Christensen, P., Jensen, F. M., Middleton, C. R., and Blackmore, A. (1996). “Assessment of the reliability of concrete slab bridges.” Conf. or Workshop Item, Univ. of Cambridge, Cambridge, U.K., ⟨http://publications.eng.cam.ac.uk/6361/⟩ (Mar. 5, 2010).
Val, D., Stewart, M., and Melchers, R. (2000). “Life-cycle performance of RC bridges: Probabilistic approach.” Comput. Aided Civ. Infrastruct. Eng., 15(1), 14–25.
Vu, K. A. T., and Stewart, M. G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Safety, 22(4), 313–333.
Wen, Y. K., and Wu, C. L. (2001). “Uniform hazard ground motions for Mid-America cities.” Earthquake Spectra, 17(2), 359–384.
Weyers, R. E., Fitch, M., Larsen, E., Al-Qadi, I., and Hoffman, P. (1994). “Concrete bridge protection and rehabilitation: Chemical and physical techniques.” Service life estimates, Strategic Highway Research Program, Washington D.C., 357.
Whiting, D., Stejskal, B., and Nagi, M. (1990). Condition of Prestressed concrete bridge components: Technology review and field surveys, Federal Highway Administration, Washington, D.C.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 136 • Issue 12 • December 2010
Pages: 1497 - 1511
Copyright
© 2010 ASCE.
History
Received: Jul 31, 2009
Accepted: Jun 10, 2010
Published online: Jun 15, 2010
Published in print: Dec 2010
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