Damage-Based Capacity Limit States for Nonductile Bridge Columns
Publication: Journal of Bridge Engineering
Volume 28, Issue 5
Abstract
The ability to estimate, with reasonable accuracy, the likelihood and extent of damage to bridges following an earthquake is crucial to postearthquake response activities. While the development of seismic demand models has seen considerable progress, there is a significant gap in our current ability to correlate demands with capacity limit states, particularly for older bridges with nonductile detailing. A simulation model was developed for typical nonductile bridge columns considering potential failure modes and incorporating critical response effects at the material and sectional levels. A primary drawback in using ductility-based measures to characterize capacity limit states under random earthquake-induced loading led us to develop a damage index–based approach to classifying limit states. The proposed damage-based approach was validated against experimental data and then applied to single-column bridge bents. Fragility functions were developed by which the exceedance probabilities of damage states could be examined and median estimates used to develop damage-index ranges for each limit state. The findings from this study will not only assist in postearthquake emergency response efforts, but also in prioritizing the strengthening of older, nonductile bridges.
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Acknowledgments
The authors gratefully acknowledge the collaboration of, and input from, Cliff Roblee (Caltrans), Chuang-Sheng (Walter) Yang and Qiu Zheng (Georgia Tech) throughout the project. This work was supported by the Pacific Earthquake Engineering Research (PEER) Center under the Transportation Systems Research Program. The opinions, findings, conclusions and recommendations expressed in this publication are those of the authors and do not necessarily reflect those of PEER or the Regents of the University of California.
References
AASHTO. 2017. Bridge design specifications. Washington, DC: AASHTO.
Brown, J., and S. K. Kunnath. 2004. “Low-cycle fatigue behavior of reinforcing steel bars.” ACI Mater. J. 101 (6): 457–466.
Chai, Y. H., M. N. Priestley, and F. Seible. 1991. “Seismic retrofit of circular bridge columns for enhanced flexural performance.” ACI Struct. J. 88 (5): 572–584.
Coffin, L. F., Jr. 1954. “A study of the effects of cyclic thermal stresses on a ductile metal.” Trans. Am. Soc. Mech. Eng. 76: 931–950.
Coffin, L. F., Jr. 1971. “A note on low cycle fatigue laws.” J. Mater. 6: 388–402.
CSA (Canadian Standard Association). 2013. Canadian highway bridge design code. CAN/CSA-S6-14. Rexdale, ON, Canada: CSA.
Do, T. N., and F. C. Filippou. 2018. “A damage model for structures with degrading response.” Earthquake Eng. Struct. Dyn. 47: 311–332. https://doi.org/10.1002/eqe.2952.
Elwood, K. J., and J. P. Moehle. 2003. Shake table tests and analytical studies on the gravity load collapse of reinforced concrete frames. Rep. PEER 2003/01. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Feng, Y., M. J. Kowalsky, and J. M. Nau. 2014. “Fiber-based modeling of circular reinforced concrete bridge columns.” J. Earthquake Eng. 18 (5): 714–734. https://doi.org/10.1080/13632469.2014.904254.
FEMA P695. 2009. “Quantification of Building Seismic Performance Factors.” Prepared by the Applied Technology Council. Washington, DC: FEMA.
Goodnight, J. C., M. J. Kowalsky, and J. M. Nau. 2013. “Effect of load history on performance limit states of circular bridge columns.” J. Bridge Eng. 18: 1383–1396. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000495.
Goodnight, J. C., M. J. Kowalsky, and J. M. Nau. 2016. “Strain limit states for circular RC bridge columns.” Earthquake Spectra 32 (3): 1627–1652. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000495.
Heo, Y., and S. K. Kunnath. 2013. “Damage-based seismic performance evaluation of reinforced concrete frames.” Int. J. Concr. Struct. Mater. 7 (3): 175–182. https://doi.org/10.1007/s40069-013-0046-z.
Kashani, M. M., L. N. Lowes, A. J. Crewe, and N. A. Alexander. 2016. “Nonlinear fiber element modelling of RC bridge piers considering inelastic buckling of reinforcement.” Eng. Struct. 116: 163–177. https://doi.org/10.1016/j.engstruct.2016.02.051.
Kenawy, M., S. Kunnath, S. Kolwankar, and A. Kanvinde. 2018. “Fiber-based nonlocal formulation for simulating softening in reinforced concrete beam-columns.” J. Struct. Eng. 144 (12); 4018217. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002218.
Kowalsky, M. J. 2000. “Deformation limit states for circular reinforced concrete bridge columns.” J. Struct. Eng. 126 (8): 869–878. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(869).
Mackie, K., and B. Stojadinovic. 2005. Fragility basis for California highway overpass bridge seismic decision making. PEER Rep. 2005/02. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Mander, J. B., M. J. N. Priestley, and R. Park. 1984. Seismic design of bridge piers. Research Rep. 84-2. Christchurch, New Zealand: Dept. of Civil Engineering, Univ. of Canterbury.
Manson, S. S. 1953. “Behavior of materials under conditions of thermal stress.” In Heat Transfer Symp., 9–75. Ann Arbor, MI: Univ. of Michigan Engineering Research Institute.
Mazars, J., and G. Pijaudier-Cabot. 1989. “Continuum damage theory-application to concrete.” J. Eng. Mech. 115 (2): 345–365. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:2(345).
McKenna, F. 2011. “Opensees: A framework for earthquake engineering simulation.” Comput. Sci. Eng. 13 (4): 58–66. https://doi.org/10.1109/MCSE.2011.66.
Miner, M. A. 1945. “Cumulative damage in fatigue.” J. Appl. Mech. 12: A-159. https://doi.org/10.1115/1.4009458.
Park, R. 1989. “Evaluation of ductility of structures and structural assemblages from laboratory testing.” Bull. N. Z. Natl. Soc. Earthquake Eng. 22 (3): 155–166. https://doi.org/10.5459/bnzsee.22.3.155-166.
Powell, G., and R. Allahabadi. 1988. “Seismic damage prediction by deterministic methods: Concepts and procedures.” Earthquake Eng. Struct. Dyn. 16 (5): 719–734. https://doi.org/10.1002/eqe.4290160507.
Ranf, R. T., J. M. Nelson, Z. Price, M. O. Eberhard, and J. F. Stanton. 2006. Damage accumulation in lightly confined reinforced concrete bridge columns. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Saatcioglu, M., and S. R. Razvi. 1992. “Strength and ductility of confined concrete.” J. Struct. Div. 118 (6): 1590–1607. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1590).
Schoettler, M. J., J. I. Restrepo, G. Guerrini, D. Duck, and F. Carrea. 2015. A full-scale, single-column bridge bent tested by shake-table excitation. Rep. PEER 2015/02. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Sheikh, M. N., and F. Légeron. 2014. “Performance based seismic assessment of bridges designed according to Canadian Highway Bridge Design Code.” Can. J. Civ. Eng. 41 (9): 777–787. https://doi.org/10.1139/cjce-2013-0025.
Soesianawati, M. T., R. Park, and M. J. N. Priestley. 1986. Limited ductility design of reinforced concrete columns. Rep. 86-10. Christchurch, New Zealand: Dept. of Civil Engineering, Univ. of Canterbury.
Su, J., R. P. Dhakal, and J. Wang. 2017. “Fiber-based damage analysis of reinforced concrete bridge piers.” Soil Dyn. Earthquake Eng. 96: 13–34. https://doi.org/10.1016/j.soildyn.2017.01.029.
Vosooghi, A., and M. Saiidi. 2012. “Experimental fragility curves for seismic response of reinforced concrete bridge columns.” ACI Struct. J. 109 (6): 825–834.
Williams, M. S., and R. G. Sexsmith. 1994. Review of methods assessing seismic damage in concrete structures. Technical Rep. 94-02. Vancouver, BC, Canada: Earthquake Engineering Research Facility, Univ. of British Columbia.
Yassin, M. H. M. 1994. “Nonlinear analysis of prestressed concrete structures under monotonic and cycling loads.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Yoon, Y. H., S. Ataya, M. Mahan, A. Malek, M. S. Saiidi, and T. Zokaie. 2019. “Probabilistic damage control application: Implementation of performance-based earthquake engineering in seismic design of highway bridge columns.” J. Bridge Eng. 24 (7): 04019068. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001443.
Zhao, J., and S. Sritharan. 2007. “Modeling of strain penetration effects in fiber-based analysis of reinforced concrete structures.” ACI Struct. J. 104 (2): 133–141.
Zhou, J. 2021. “Establishing capacity limit states for nonductile bridge columns through modeling and simulation.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Zong, Z., S. Kunnath, and G. Monti. 2014. “Material model incorporating buckling of reinforcing bars in RC columns.” J. Struct. Eng. 140 (1): 04013032. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000808.
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© 2023 American Society of Civil Engineers.
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Received: Apr 27, 2022
Accepted: Dec 3, 2022
Published online: Feb 21, 2023
Published in print: May 1, 2023
Discussion open until: Jul 21, 2023
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