Bridge Design Framework for Target Seismic Loss
Publication: Journal of Bridge Engineering
Volume 22, Issue 10
Abstract
The design of bridges based on current seismic design codes is prescriptive and targets a uniform seismic hazard level rather than a uniform risk (i.e., loss). This paper puts forward an applied method for reliable performance-based seismic design of bridges founded on a design philosophy in which tolerable seismic loss is incorporated in the design decision process up front. The proposed technique is based on a few simple design-aid graphs that are developed using a full Monte Carlo probabilistic simulation over a Pacific Earthquake Engineering Research Center (PEER) Probabilistic-Based Seismic Assessment (PBSA) approach while considering the correlation between demands in different components to estimate bridge repair cost ratios (RCRs) at various levels of column drift ratio (CDR). A Bayesian updating method is used to develop the probability distribution of CDRs given RCR. In this paper, the method is exercised for the design of a two-span Caltrans ordinary bridge. Various design parameters, such as column diameter, column height-to-depth ratio, longitudinal reinforcement ratio, and span length, are included in the design process. The bridge probability of collapse and the probability of exceeding a RCR are estimated for various design-parameter configurations. The proposed bridge seismic design method can serve as the basis for the design of bridges for uniform risk.
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References
AASHTO. (2014). AASHTO guide specifications for LRFD seismic bridge design, 2nd Ed., Washington, DC.
ASCE. (2010). Minimum design loads for buildings and other structures, Reston, VA.
Aslani, H. (2005). “Probabilistic earthquake loss estimation and loss disaggregation in buildings.” Ph.D. thesis, Stanford Univ., Stanford, CA.
ATC (Applied Technology Council). (1981). “Seismic design guidelines for highway bridges.” Rep. No. ATC-6, Redwood City, CA.
Baker, J. W., and Cornell, C. A. (2006). “Vector-valued ground motion intensity measures for probabilistic seismic demand analysis.” Rep. No. PEER 2006/08, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Baker, J. W., Ling, T., Shahi, S. K., and Jayaram, N. (2011). “New ground motion selection procedures and selected motions for the peer transportation research program.” Rep. No. PEER 2011/03, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Bazzurro, P., and Cornell, C. A. (2002). “Vector-values probabilistic seismic hazard analysis (VP-SHA).” Proc., 7th U.S. National Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, CA.
Bebamzadeh, A., Rahamani, A., Taiebat, M., Ventura, C. E., and Finn, W. D. L. (2014). “Performance-based seismic design of bridges using high performance computing tools.” Proc., 10th U.S. National Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, CA.
Berry, M. P., and Eberhard, M. O. (2003). “Performance models for flexural damage in reinforced concrete columns.” Rep. No. 2003/18, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Bertsekas, D. P., and Tsitsiklis, J. N. (2002), Introduction to probability, Athena Scientific, Belmont, MA.
Bozorgnia, Y., and Bertero, V. V. (2004). “Performance-based earthquake engineering.” Earthquake engineering: From engineering seismology to performance-based engineering, CRC, Boca Raton, FL.
Bozorgzadeh, A., Megally, S. H., Ashford, S. A., and Restrepo, J. I. (2007). “Seismic response of sacrificial exterior shear keys in bridge abutments.” Rep. SSRP-04/14, Caltrans, Sacramento, CA.
Caltrans. (2007). “Bridge construction cost index, 1970–2007.” 〈http://www.dot.ca.gov/hq/esc/estimates/〉 (Jun. 13, 2016).
Caltrans. (2009). “Bridge memo to designers.” 〈http://www.dot.ca.gov/des/techpubs/mtd.html〉 (Jun. 13, 2016).
Caltrans. (2012). “Bridge design aids.” 〈http://www.dot.ca.gov/des/techpubs/bda.html〉 (Jun. 13, 2016).
Caltrans. (2013). Caltrans seismic design criteria, version 1.7, Sacramento, CA.
Caltrans. (2014). “Comparative bridge costs.” 〈http://www.dot.ca.gov/hq/esc/estimates/〉 (Jun. 13, 2016).
Choi, E. (2002). “Seismic analysis and retrofit of mid-America bridges.” Ph.D. thesis, Georgia Institute of Technology, Atlanta.
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., 526–533.
Cornell, C. A., and Krawinkler, H. (2000). “Progress and challenges in seismic performance assessment.” PEER Center News, 3(2), 1–4.
DesRoches, R., Padgett, J. E., Ramanathan, K., and Dukes, J. (2012). “Feasibility studies for improving Caltrans bridge fragility relationships.” Rep. No. CA12-1775, Caltrans, Sacramento, CA.
Floren, A. and Mohammadi, J. (2001). “Performance-based design approach in seismic analysis of bridges.” J. Bridge Eng., 37–45.
FEMA. (2006). “Next-generation performance-based seismic design guidelines.” FEMA 445, Washington, DC.
FEMA. (2009). “Quantification of building seismic performance factors.” FEMA P695, Washington, DC.
Ghosn, M., and Moses, F. (1986). “Reliability calibration of bridge design code.” J. Struct. Eng., 745–763.
Ibarra, L. F., Medina, R. A., and Krawinkler, H. (2005). “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Eng. Struct. Dyn., 34(12), 1489–1511.
Israel, M., Ellingwood, B., and Corotis, R. (1987). “Reliability-based code formulations for reinforced concrete buildings.” J. Struct. Eng., 2235–2252.
Kaviani, P., Zareian, F., and Taciroglu, E. (2014). “Performance-based seismic assessment of skewed bridges.” Rep. No. 2014/01, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Ketchum, M., Chang, V., and Shantz, T. (2004), “Influence of design ground motion level on highway bridge costs.” Rep. No. 6D01, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Khalili-Tehrani, P., Taciroglu, E., and Shamsabadi, A. (2010). “Backbone curves for passive lateral response of walls with homogeneous backfills.” Soil-foundation-structure interaction, CRC, Boca Raton, FL, 149–154.
Krawinkler, H. (2002). “A general approach to seismic performance assessment.” Proc., Int. Conf. on Advances and New Challenges in Earthquake Engineering Research, Organizing Committee of the International Conference at the Hong Kong Polytechnic Univ., Hong Kong.
Luco, N., and Cornell, C. A. (2007). “Structure-specific scalar intensity measures for near-source and ordinary earthquake ground motions.” Earthquake Spectra, 23(2), 357–392.
Luco, N., Ellingwood, B. R., Hamburger, R. O., Hooper, J. D., Kimball, J. K., and Kircher, C. A. (2007). “Risk-targeted versus current seismic design maps for the conterminous United States.” Proc., SEAOC 2007 Convention, Structural Engineers Association of California, Sacramento, CA.
Mackie, K. R., and Stojadinovic, B. (2007a). “Performance-based seismic bridge design for damage and loss limits states.” Earthquake Eng. Struct. Dyn., 36(13), 1953–1971.
Mackie, K. R., and Stojadinovic, B. (2007b). “R-factor parameterized bridge damage fragility curves.” J. Bridge Eng., 500–510.
Mackie, K. R., Wong, J-M., and Stojadinovic, B. (2008). “Integrated probabilistic performance-based evaluation of benchmark reinforced concrete bridges.” Rep. No. 2007/09, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
MathWorks. (2015). MATLAB and statistics toolbox release, Natick, MA.
MATLAB [Computer software]. MathWorks, Natick, MA.
NCHRP (National Cooperative Highway Research Program). (2013). NCHRP synthesis 440: Performance-based seismic bridge design, Transportation Research Board of the National Academics, Washington, DC.
Nielson, B. G., and DesRoches, R. (2007). “Analytical seismic fragility curves for typical bridges in the central and southeastern United States.” Earthquake Spectra, 23(3), 615–633.
OpenSees [Computer software]. Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Padgett, J. E., and DesRoches, R. (2008). “Methodology for development of analytical fragility curves for retrofitted bridges.” Earthquake Eng. Struct. Dyn., 37(8), 1157–1174.
Padgett, J. E., Nielson, B. G., and DesRoches, R. (2008). “Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios.” Earthquake Eng. Struct. Dyn., 37(5), 711–725.
PEER (Pacific Earthquake Engineering Research Center). (2010). “Guidelines for performance-based seismic design of tall buildings.” Rep. No. PEER 2010/05, TBI Guidelines Working Group, Univ. of California, Berkeley, CA.
Priestley, M. J. N. (2000). “Performance based seismic design.” Proc., 12th World Conf. on Earthquake Engineering, New Zealand Society for Earthquake Engineering, Wellington, New Zealand.
Priestley, M. J. N., Calvi, G. M., and Kowalsky, M. J. (2007). Displacement-based seismic design of structures, IUSS, Pavia, Italy.
Ramanathan, K. N. (2012). “Next generation seismic fragility curves for California bridges incorporating the evolution in seismic design philosophy.” Ph.D. thesis, Georgia Institute of Technology, Atlanta.
Shafieezadeh, A., Ramanathan, K., Padgett, J. E., and DesRoches, R. (2011). “Fractional order intensity measures for probabilistic seismic demand modeling applied to highway bridges.” Earthquake Eng. Struct. Dyn., 41(3), 391–409.
Stewart, M. G. (2010). “Acceptable risk criteria for infrastructure protection.” Int. J. Prot. Struct., 1(1), 23–40.
USGS. (2017). “Unified hazard tool.” 〈https://earthquake.usgs.gov/hazards/interactive/index.php〉.
Wang, Z., Padgett, J. E., and Dueñas-Osorio, L. (2014). “Toward a uniform seismic risk design of reinforced concrete bridges: A displacement-based approach.” Struct. Saf., 50, 103–112.
Xue, Q., and Chen, C.-C. (2003). “Performance-based seismic design of structures: A direct displacement-based approach.” Eng. Struct., 25(14), 1803–1813.
Yang, T. Y., Moehle, J., Stojadinovic, B., and Der Kiureghian, A. (2009). “Seismic performance evaluation of facilities: Methodology and implementation.” J. Struct. Eng., 1146–1154.
Zakeri, B., Padgett, J. E., and Amiri, G. G. (2014a). “Fragility analysis of skewed single-frame concrete box-girder bridges.” J. Perform. Constr. Facil., 571–582.
Zakeri, B., Padgett, J. E., and Amiri, G. G. (2014b). “Fragility assessment for seismically retrofitted skewed reinforced concrete box girder bridges.” J. Perform. Constr. Facil., 04014043.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 22 • Issue 10 • October 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Jun 15, 2016
Accepted: Mar 6, 2017
Published online: Jul 17, 2017
Published in print: Oct 1, 2017
Discussion open until: Dec 17, 2017
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