Probabilistic Demand Models and Fragility Estimates for Bridges Elevated with Steel Pedestals
Publication: Journal of Structural Engineering
Volume 139, Issue 9
Abstract
Probabilistic seismic demand models are developed for bridges elevated with steel pedestals by adding correction and error terms to commonly used models. Separate probabilistic demand models are developed for the force demand on steel pedestals and the shear and deformation demands on concrete columns. Nonlinear time history analyses on detailed, three-dimensional finite-element models are used to generate virtual experimental data. By applying a Bayesian updating method to the generated data, parameters of the probabilistic models and their correlations are estimated. Comparisons between the demands from the developed probabilistic demand models and the demands from their corresponding demand models without correction and error terms reveal that the developed probabilistic models provide more accurate and unbiased predictions of the demands of interest. As an illustration of the developed framework, fragilities are estimated for a two-span bridge. The results show that pedestals are more vulnerable in the longitudinal direction, and columns are more vulnerable in the transverse direction. A sensitivity analysis on the studied bridges shows that decreasing the pedestal height, increasing the length of the pedestal anchor bolts within the concrete bent, and increasing the concrete cover on the anchor bolts are the most effective ways to decrease the probability of failure.
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Acknowledgments
The authors acknowledge the Texas A&M Supercomputing Facility (http://sc.tamu.edu/) for providing computing resources useful in conducting the research reported in this paper.
References
AASHTO. (2010). AASHTO LRFD bridge design specifications, 5th Ed., AASHTO, Washington, DC.
Abrahamson, N. A., and Silva, W. J. (2008). “Summary of the Abrahamson and Silva NGA ground-motion relations.” Earthq. Spectra, 24(1), 67–97.
Bai, J. W., Gardoni, P., and Hueste, M. B. D. (2011). “Story-specific demand models and seismic fragility estimates for multi-story buildings.” Struct. Saf., 33(1), 96–107.
Baker, J. W., and Cornell, C. A. (2005). “A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon.” Earthquake Eng. Struct. Dynam., 34(10), 1193–1217.
Bisadi, V., Gardoni, P., and Head, M. (2011b). “Probabilistic capacity models and fragility estimates for steel pedestals used to elevate bridges.” J. Struct. Eng., 137(12), 1583–1592.
Bisadi, V., and Head, M. (2011). “Evaluation of combination rules for orthogonal seismic demands in nonlinear time history analysis of bridges.” J. Bridge Eng., 16(6), 711–717.
Bisadi, V., Head, M., and Cline, B. H. (2011a). “Seismic effects of elevating bridges with steel pedestals in the southeastern United States.” Eng. Struct., 33(12), 3279–3289.
Box, G. E. P., and Cox, D. R. (1964). “An analysis of transformations.” J. R. Stat. Soc., B, 26, 211–246.
Box, G. E. P., and Tiao, G. C. (1992). Baysian inference in statistical analysis, Wiley, New York.
Burnham, K. P., and Anderson, D. R. (2002). Model selection and multimodel inference: A practical information-theoretic approach, 2nd Ed., Springer, New York.
CALTRANS. (2006). Seismic design criteria, version 1.4, Calif. Dept. of Transportation, Sacramento, CA.
Choe, D. E., Gardoni, P., and Rosowsky, D. (2007). “Closed-form fragility estimates, parameter sensitivity and Bayesian updating for RC columns.” J. Eng. Mech., 133(7), 833–843.
Choi, E. (2002). “Seismic analysis and retrofit of mid-America bridges.” Ph.D. thesis, Georgia Institute of Technology, Atlanta.
Feldman, L. R., Jirsa, J. O., and Kowal, E. S. (1998). “Repair of bridge impact damage.” Concr. Int., 20(2), 61–66.
Fernandez, J. A., and Rix, G. J. (2006). Development of synthetic ground motions, Georgia Institute of Technology, Atlanta.
Fu, C. C., Burhouse, J. R., and Chang, G. (2004). “Overheight vehicle collisions with highway bridges.” Transportation Research Record 1865, Transportation Research Board, Washington, DC, 80–88.
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.
Gardoni, P., Mosalam, K. M., and Der Kiureghian, A. (2003). “Probabilistic seismic demand models and fragility estimates for RC bridges.” J. Earthquake Eng., 7(Sp. Issue 1), 79–106.
Hadipriono, F. C. (1985). “Analysis of events in recent structural failures.” J. Struct. Eng., 111(7), 1468–1481.
Harik, I. E., Shaaban, A. M., Gesund, H., Valli, G. Y. S., and Wang, S. T. (1990). “United States bridge failures 1951–1988.” J. Perform. Constr. Facil., 4(4), 272–277.
Hilton, M. H. (1973). “Some case studies of highway bridges involved in accidents.” Highway Research Record, 432, 41–51.
Hite, M., DesRoches, R., and Leon, R. T. (2008). “Full-scale tests of bridge steel pedestals.” J. Bridge Eng., 13(5), 483–491.
Hurvich, C. M., and Tsai, C. (1989). “Regression and time series model selection in small samples.” Biometrika, 76(2), 297–307.
Krawinkler, H., and Nassar, A. A. (1992). “Seismic design based on ductility and cumulative damage demands and capacity.” Nonlinear seismic analysis and design of reinforced concrete buildings, P. Fajfar and H. Krawinkler, eds., Elsevier Applied Science, New York.
Maleki, S., and Bisadi, V. (2006). “Orthogonal effects in seismic analyses of skewed bridges.” J. Bridge Eng., 11(1), 122–130.
Mallows, C. L. (1973). “Some Comments on CP.” Technometrics, 15(4), 661–675.
Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress strain model for confined concrete.” J. Struct. Eng., 114(8), 1804–1826.
McKay, M. D., Beckman, R. J., and Conover, W. J. (1979). “A comparison of three methods for selecting values of input variables in the analysis of output from a computer code.” Technometrics, 22(2), 239–245.
Muthukumar, S., and DesRoches, R. (2006). “A Hertz contact model with non-linear damping for pounding simulation.” Earthquake Eng. Struct. Dynam., 35(7), 811–828.
Nielson, B., and DesRoches, R. (2006). “Influence of modeling assumptions on the seismic response of multi-span simply supported steel girder bridges in moderate seismic zones.” Eng. Struct., 28(8), 1083–1092.
Open System for Earthquake Engineering Simulation (OpenSees) 2.2.2 [Computer software]. Berkeley, CA, Pacific Earthquake Engineering Research Center.
Pacific Earthquake Engineering Research Center. (1999). “Pacific Earthquake Engineering Research Center: NGA Database.” 〈http://peer.berkeley.edu/nga〉 (Mar. 20, 2011).
Ramamoorthy, S. K., Gardoni, P., and Bracci, J. M. (2006). “Probabilistic demand models and fragility curves for reinforced concrete frames.” J. Struct. Eng., 132(10), 1563–1572.
Ramamoorthy, S. K., Gardoni, P., and Bracci, J. M. (2008). “Seismic fragility and confidence bounds for gravity load designed reinforced concrete frames of varying height.” J. Struct. Eng., 134(4), 639–650.
Sharma, H., Hurlebaus, S., and Gardoni, P. (2008). “Development of a bridge bumper to protect bridge girders from overheight vehicle impacts.” Comput. Aided Civ. Infrastruct. Eng., 23(6), 415–426.
Shome, N., and Cornell, C. A. (1999). “Probabilistic seismic demand analysis of nonlinear structures. Reliability of Marine Structures.” Rep. No. RMS-35, Dept. of Civil and Envir. Engineering, Stanford Univ., Palo Alto, CA.
Theil, H. (1961). Economic forecasts and policy, North-Holland Pub. Co., Amsterdam, Holland.
Wald, F., Bauduffe, N., and Muzeau, J. P. (2001). “Preliminary prediction of the column-base stiffness.” TU Graz papers, G. R. Festschrift, et al., eds. Graz Univ., Graz, Austria, 47–52.
Wardhana, K., and Hadipriono, F. C. (2003). “Analysis of recent bridge failures in the United States.” J. Perform. Constr. Facil., 17(3), 144–150.
Zhong, J., Gardoni, P., Rosowsky, D., and Haukaas, T. (2008). “Probabilistic seismic demand models and fragility estimates for reinforced concrete bridges with two-column bents.” J. Eng. Mech., 134(6), 495–504.
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© 2013 American Society of Civil Engineers.
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Received: Mar 5, 2012
Accepted: Sep 12, 2012
Published online: Sep 17, 2012
Published in print: Sep 1, 2013
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