Seismic Risk Assessment of Four-Span Bridges in Montreal Designed Using the Canadian Bridge Design Code
Publication: Journal of Bridge Engineering
Volume 19, Issue 8
Abstract
The seismic performance of 15 continuous four-span bridges with different arrangements of column heights and diameters and designed using the 2006 Canadian Highway Bridge Design Code provisions were studied using incremental dynamic analysis (IDA). The seismic risk associated with exceeding different damage states in the columns, including yielding, cover spalling, bar buckling, and structural collapse (i.e., dynamic instability) was predicted. Some simplified equations were derived for Montreal, Quebec, Canada, to estimate the mean annual probability of exceeding different damage states in the columns using the IDA results. The results indicated that the probabilities of exceeding different damage states were reasonably low.
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Acknowledgments
The financial support provided by the Natural Sciences and Engineering Research Council of Canada for the Canadian Seismic Research Network is gratefully acknowledged. The authors are grateful for the raw seismic hazard data provided by Professors Gail Atkinson and Katsuichiro Goda.
References
Applied Technology Council (ATC). (2008). “Quantification of building seismic performance factors.” Rep. No. ATC-63 (FEMA P695) Prepared for the Federal Emergency Management Agency, Applied Technology Council, Redwood City, CA.
Atkinson, G. M., and Boore, D. M. (2006). “Earthquake ground-motion prediction equations for eastern North America.” Bull. Seismol. Soc. Am., 96(6), 2181–2205.
Atkinson, G. M., and Goda, K. (2011). “Effects of seismicity models and new ground-motion prediction equations on seismic hazard assessment for four Canadian cities.” Bull. Seismol. Soc. Am., 101(1), 176–189.
Aviram, A., Mackie, K. R., and Stojadinovic, B. (2008). “Effect of abutment modeling on the seismic response of bridge structures.” Earthquake Eng. Eng. Vib., 7(4), 395–402.
Baker, J. W., and Cornell, C. A. (2005). “Spectral shape, epsilon and record selection.” Earthquake Eng. Struct. Dynam., 34(10), 1193–1217.
Baker, J. W., and Cornell, C. A. (2006). “Which spectral acceleration are you using?” Earthq. Spectra, 22(2), 293–312.
Berry, M. P., and Eberhard, M. O. (2007). “Performance modeling strategies for modern reinforced concrete bridge columns.” Rep. No. PEER-2007/07, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics and decision for civil engineers, McGraw Hill, New York.
Boore, D. M., and Atkinson, G. M. (2008). “Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.01 s and 10.0 s.” Earthq. Spectra, 24(1), 99–138.
CALTRANS. (2006). “Seismic design criteria.” Los Angeles.
Canadian Standards Association (CSA). (2006). “Canadian Highway Bridge Design Code (CHBDC) and commentary.” CAN/CSA-S6-10, Mississauga, ON, Canada.
Carr, A. (2009). Ruaumoko, a computer program for inelastic dynamic analysis, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Goda, K., Hong, H. P., and Atkinson, G. M. (2010). “Impact of using updated seismic information on seismic hazard in western Canada.” Can. J. Civ. Eng., 37(4), 562–575.
Haselton, C. B., Baker, J. W., Liel, A. B., and Deierlein, G. G. (2011). “Accounting for ground-motion spectral shape characteristics in structural collapse assessment through an adjustment for epsilon.” J. Struct. Eng., 332–344.
Haselton, C. B., and Deierlein, G. G. (2007). “Assessing seismic collapse safety of modern reinforced concrete moment-frame buildings.” Rep. No. PEER 2007/08, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Hong, H. P., and Goda, K. (2006). “A comparison of seismic-hazard and risk deaggregation.” Bull. Seismol. Soc. Am., 96(6), 2021–2039.
Jalayer, F., and Cornell, C. A. (2003). “A technical framework for probability-based demand and capacity factor (DCFD) seismic formats.” Rep. No. PEER-2003/08, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
National Research Council of Canada (NRCC). (2010). National building code of Canada. Ottawa.
Otani, S. (1981). “Hysteresis model of reinforced concrete for earthquake response analysis.” Journal of Fac. of Eng., Univ. of Tokyo, Series B, XXXVI-11(2), 407–441.
Priestley, M. J. N., Calvi, G. M., and Kowalsky, M. J. (2007). Direct displacement based design of structures, IUSS, Pavia, Italy.
Shome, N., and Cornell, C. A. (1999). “Probabilistic seismic demand analysis of non-linear structures.” Report No. RMS-35, RMS Program, Stanford Univ., Stanford, CA.
Tehrani, P. (2012). “Seismic analysis and behaviour of continuous reinforced concrete bridges.” Ph.D. thesis, Dept. of Civil Engineering and Applied Mechanics, McGill Univ., Montreal.
Tehrani, P., and Mitchell, D. (2012a). “Effects of column and superstructure stiffness on the seismic response of bridges in the transverse direction.” Can. J. Civ. Eng. 40(8), 827–839.
Tehrani, P., and Mitchell, D. (2012b). “Effects of column stiffness irregularity on the seismic response of bridges in the longitudinal direction.” Can. J. Civ. Eng. 40(8), 815–825.
Tehrani, P., and Mitchell, D. (2012c). “Seismic performance assessment of bridges in Montreal using incremental dynamic analysis.” Proc., 15th World Conf. on Earthquake Engineering, Lisbon, Portugal, Paper 3096.
Tseng, W. S., and Penzien, J. (1973). “Analytical investigations of the seismic response of long multiple span highway bridges.” Rep. No. UCB/EERC-73/12, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Vamvatsikos, D., and Cornell, C. A. (2002). “Incremental dynamic analysis.” Earthquake Eng. Struct. Dynam., 31(3), 491–514.
Vamvatsikos, D., and Cornell, C. A. (2004). “Applied incremental dynamic analysis.” Earthq. Spectra, 20(2), 523–553.
Zhang, J., Huo, Y. L., Brandenberg, S. J., and Kashighandi, P. (2008). “Effects of structural characterizations on fragility functions of bridges subject to seismic shaking and lateral spreading.” Earthquake Eng. Eng. Vib., 7(4), 368–382.
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Information
Published In
Journal of Bridge Engineering
Volume 19 • Issue 8 • August 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Aug 29, 2012
Accepted: Apr 9, 2013
Published online: Apr 12, 2013
Discussion open until: Jun 3, 2014
Published in print: Aug 1, 2014
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