Development of Performance-Based Fragility Curves of Coastal Bridges Subjected to Extreme Wave-Induced Loads
Publication: Journal of Bridge Engineering
Volume 28, Issue 3
Abstract
A number of coastal bridges faced significant damage due to recent natural hazards, inducing extreme waves. The fragility function is the basic step for assessing the resilience of a structure, thereby allowing the designers to alleviate post-event structural disasters and develop improved design methods for new structures. The majority of the focus of fragility functions developed in literature are concentrated on superstructure components and wave load on bridge decks. This paper presents a simplified methodology for the definition of damage states of the substructure component (pier drift) due to wave loads acting on piers as well as the bridge deck. The hazard intensity parameters representing the extreme wave loads chosen for this study are wave period, wave height, and still water depth. The Latin hypercube sampling technique is applied to consider the uncertainties in the intensity parameters as well as the material properties for the finite-element bridge models. Results indicate that the wave period is the most dominant factor affecting the wave-load intensity. The deck-level loading caused a higher probability of failure compared with the pier-level wave loading scenario. In both loading scenarios considered, the elastomeric bearing and shear keys are found to be one of the most vulnerable components in the system-level fragility curves developed. The system-fragility curves generated in this paper can be used to assess the resiliency of coastal bridges subjected to extreme wave-induced loads. The findings of this paper will also add to the risk mitigation and reliability assessment of coastal structures under multi-hazard conditions.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
The Natural Sciences and Engineering Research Council (NSERC) of Canada through the Discovery Grant supported this study. The financial support is greatly appreciated.
References
AASHTO (American Association of State Highway and Transportation Official). 2008. Guide specifications for bridges vulnerable to coastal storms. Washington, DC: AASHTO.
Akiyama, M., D. M. Frangopol, M. Arai, and S. Koshimura. 2013. “Reliability of bridges under tsunami hazards: Emphasis on the 2011 Tohoku-oki earthquake.” Earthquake Spectra 29 (Suppl. 1): 295–314. https://doi.org/10.1193/1.4000112.
Ataei, N., and J. E. Padgett. 2013a. “Limit state capacities for global performance assessment of bridges exposed to hurricane surge and wave.” Struct. Saf. 41: 73–81. https://doi.org/10.1016/j.strusafe.2012.10.005.
Ataei, N., and J. E. Padgett. 2013b. “Probabilistic modeling of bridge deck unseating during hurricane events.” J. Bridge Eng. 18 (4): 275–286. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000371.
Ataei, N., M. Stearns, and J. E. Padgett. 2010. “Response sensitivity for probabilistic damage assessment of coastal bridges under surge and wave loading.” Transp. Res. Rec. 2202 (1): 93–101. https://doi.org/10.3141/2202-12.
Attary, N., J. W. van de Lindt, V. U. Unnikrishnan, A. R. Barbosa, and D. T. Cox. 2017. “Methodology for development of physics-based tsunami fragilities.” J. Struct. Eng. 143 (5): 04016223. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001715.
Azadbakht, M., and S. C. Yim. 2015. “Simulation and estimation of tsunami loads on bridge superstructures.” J. Waterw. Port Coastal Ocean Eng. 141 (2): 04014031. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000262.
Azadbakht, M., and S. C. Yim. 2016. “Effect of trapped air on wave forces on coastal bridge superstructures.” J. Ocean Eng. Mar. Energy 2 (2): 139–158. https://doi.org/10.1007/s40722-016-0043-9.
Baker, J. W. 2015. “Efficient analytical fragility function fitting using dynamic structural analysis.” Earthquake Spectra 31 (1): 579–599. https://doi.org/10.1193/021113EQS025M.
Balomenos, G. P., S. Kameshwar, and J. E. Padgett. 2020. “Parameterized fragility models for multi-bridge classes subjected to hurricane loads.” Eng. Struct. 208: 110213. https://doi.org/10.1016/j.engstruct.2020.110213.
Balomenos, G. P., and J. E. Padgett. 2018. “Fragility analysis of pile-supported wharves and piers exposed to storm surge and waves.” J. Waterw. Port Coastal Ocean Eng. 144 (2): 04017046. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000436.
Billah, A. H. M. M., and M. S. Alam. 2016. “Performance-based seismic design of shape memory alloy–reinforced concrete bridge piers. I: Development of performance-based damage states.” J. Struct. Eng. 142 (12): 04016140. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001458.
Billah, A. H. M. M., and M. S. Alam. 2021. “Seismic fragility assessment of multi-span concrete highway bridges in British Columbia considering soil–structure interaction.” Can. J. Civ. Eng. 48 (1): 39–51. https://doi.org/10.1139/cjce-2018-0667.
Carey, T. J., H. B. Mason, A. R. Barbosa, and M. H. Scott. 2019. “Multihazard earthquake and tsunami effects on soil–foundation–bridge systems.” J. Bridge Eng. 24 (4): 04019004. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001353.
CSA S6:19. 2019. Canadian Highway Bridge Design Code (CHBDC). Toronto, ON: Canadian Standards Association.
Douglass, S. L., Q. Chen, J. M. Olsen, B. L. Edge, and D. Brown. 2006. Wave forces on bridge decks. Final Report Prepared. Washington, DC: Federal Highway Administration, US Dept. of Transportation of Bridge Technology.
Douglass, S. L., S. Hughes, S. Rogers, and Q. Chen. 2004. The impact of Hurricane Ivan on the coastal roads of Florida and Alabama: A preliminary report. 1–19. Report to Coastal Transportation Engineering Research and Education Center. Mobile, AL: Univ. of South Alabama.
Du, X., P. Wang, and M. Zhao. 2014. “Simplified formula of hydrodynamic pressure on circular bridge piers in the time domain.” Ocean Eng. 85: 44–53. https://doi.org/10.1016/j.oceaneng.2014.04.031.
Dueñas-Osorio, L., and J. E. Padgett. 2011. “Seismic reliability assessment of bridges with user-defined system failure events.” J. Eng. Mech. 137 (10): 680–690. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000272.
Emanuel, K. 2020. “Evidence that hurricanes are getting stronger.” PNAS 117 (24): 13194–13195. https://doi.org/10.1073/pnas.2007742117.
Finnemore, E. J., and J. B. Franzini. 2002. Fluid mechanics with engineering applications. New York: McGraw-Hill.
Gidaris, I., J. E. Padgett, A. R. Barbosa, S. Chen, D. Cox, B. Webb, and A. Cerato. 2017. “Multiple-hazard fragility and restoration models of highway bridges for regional risk and resilience assessment in the United States: State-of-the-art review.” J. Struct. Eng. 143 (3): 04016188. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001672.
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/10.1193/030315EQS036M.
Gullett, P., M. Dickey, and I. Howard. 2012. Numerical modeling of bridges subjected to storm surge for mitigation of hurricane damage. Southeast Region Research Initiative (SERRI) Report. 70015-005. Washington, DC: US Department of Homeland Security Directorate.
HAZUS. 2013. Tsunami methodology technical manual. Washington, DC: Federal Emergency Management Agency.
Holmes, W. T. 2000. “A vision for a complete performance-based earthquake engineering system.” In Proc., 12th World Conf., on Earthquake Engineering. Auckland, New Zealand: New Zealand Society for Earthquake Engineering.
Hong, J., K. Wei, and B. Xu. 2021. “Experimental study of breaking wave loads on sea-crossing bridges piers.” In Earth and Space 2021: Materials, Structures, Dynamics, and Control in Extreme Environments, edited by P. J. van Susante, and A. D. Roberts, 271–279. Reston, VA: ASCE.
Huang, B., L. Liao, Q. Ren, X. Cui, J. Zhang, and B. Zhu. 2022. “Fragility analysis of the box-girder coastal bridge with different connections subjected to extreme random waves.” Ocean Eng. 245: 110580. https://doi.org/10.1016/j.oceaneng.2022.110580.
Imamura, F., S. P. Boret, A. Suppasri, and A. Muhari. 2019. “Recent occurrences of serious tsunami damage and the future challenges of tsunami disaster risk reduction.” Prog. Disaster Sci. 1: 100009. https://doi.org/10.1016/j.pdisas.2019.100009.
Isaacson, M., and S. Prasad. 1993. “Wave slamming on a horizontal circular cylinder.” In Proc., 3rd Int. Offshore and Polar Engineering Conf. Singapore: The International Society of Offshore and Polar Engineers.
Kameshwar, S., and J. E. Padgett. 2014. “Multi-hazard risk assessment of highway bridges subjected to earthquake and hurricane hazards.” Eng. Struct. 78: 154–166. https://doi.org/10.1016/j.engstruct.2014.05.016.
Kanji, G. K. 2006. 100 statistical tests. 3rd ed. London: Sage.
Kawashima, K., and I. Buckle. 2013. “Structural performance of bridges in the Tohoku-oki earthquake.” Earthquake Spectra 29 (Suppl. 1): 315–338. https://doi.org/10.1193/1.4000129.
King, R. 1987. “The determination of design allowable properties for advanced composite materials.” GEC J. Res. 5 (2): 76–87.
Knabb, R. D., J. R. Rhome, and D. P. Brown. 2005. Tropical cyclone report: Hurricane katrina. Miami: National Hurricane Center.
Kunnath, S. K., A. El-Bahy, A. W. Taylor, and W. C. Stone. 1997. Cumulative seismic damage of reinforced concrete bridge piers. Technical Report NCEER 97-0006. Buffalo, NY: US National Center for Earthquake Engineering Research.
Lukic, E. A., and C. P. A. Auditor. 2009. Review of hurricane wilma expenditures and reimbursements. Technical Report 09-04. Office of the County Auditor.
Maniglio, M., G. P. Balomenos, J. E. Padgett, and G. P. Cimellaro. 2021. “Parameterized coastal fragilities and their application to aging port structures subjected to surge and wave.” Eng. Struct. 237: 112235. https://doi.org/10.1016/j.engstruct.2021.112235.
Marin, J., and D. M. Sheppard. 2009. “Storm surge and wave loading on bridge superstructures.” In Proc., Structures Congress 2009: Don’t Mess with Structural Engineers: Expanding Our Role, edited by L. Griffis, T. Helwig, M. Waggoner, and M. Hoit. Reston, VA: ASCE.
Mas, E., J. Bricker, S. Kure, B. Adriano, C. Yi, A. Suppasri, and S. Koshimura. 2015. “Field survey report and satellite image interpretation of the 2013 Super Typhoon Haiyan in the Philippines.” Nat. Hazards Earth Syst. Sci. 15 (4): 805–816. https://doi.org/10.5194/nhess-15-805-2015.
Matsutomi, H., and K. Okamoto. 2010. “Inundation flow velocity of tsunami on land.” Isl. Arc 19 (3): 443–457. https://doi.org/10.1111/j.1440-1738.2010.00725.x.
McConnell, K., W. Allsop, and I. Cruickshank. 2004. Piers, jetties and related structures exposed to waves: Guidelines for hydraulic loadings. London: Thomas Telford.
McKenna, F., G. Fenves, and M. Scott. 2013. Computer program OpenSees: Open system for earthquake engineering simulation. Berkeley, CA: Pacific Earthquake Engineering Center, Univ., of California. http://opensees.berkeley.edu.
McPherson, R. L. 2008. “Hurricane induced wave and surge forces on bridge decks.” Master’s thesis, Zachry Dept. of Civil and Environmental Engineering, Texas A&M Univ.
Mo, W., K. Irschik, H. Oumeraci, and P. L.-F. Liu. 2007. “A 3D numerical model for computing non-breaking wave forces on slender piles.” J. Eng. Math. 58 (1): 19–30. https://doi.org/10.1007/s10665-006-9094-6.
Montoya, A., A. Matamoros, F. Testik, R. Nasouri, A. Shahriar, and A. Majlesi. 2019. Structural vulnerability of coastal bridges under extreme hurricane conditions. San Antonio, TX: Univ. of Texas. https://digitalcommons.lsu.edu/transet_pubs/54.
Mood, A. M., F. A. Graybill, and D. C. Boes. 1974. Introduction to the theory of statistics 1974. New York: McGraw-Hill Kogakusha.
Nielson, B. G., and R. DesRoches. 2007. “Seismic fragility methodology for highway bridges using a component level approach.” Earthquake Eng. Struct. Dyn. 36 (6): 823–839. https://doi.org/10.1002/eqe.655.
NOAA (National Oceanic and Atmospheric Administration). 2020. “National data buoy center.” Accessed September 12, 2020. https://www.ndbc.noaa.gov/.
Paulay, T., and M. N. Priestley. 1992. Seismic design of reinforced concrete and masonry buildings. Hoboken, NJ: Wiley.
Priestley, M. N., F. Seible, and G. M. Calvi. 1996. Seismic design and retrofit of bridges. Hoboken, NJ: Wiley.
Qeshta, I. M. I., M. J. Hashemi, R. Gravina, and S. Setunge. 2019. “Review of resilience assessment of coastal bridges to extreme wave-induced loads.” Eng. Struct. 185: 332–352. https://doi.org/10.1016/j.engstruct.2019.01.101.
Qeshta, I. M., M. J. Hashemi, M. R. Hashemi, R. J. Gravina, and S. Setunge. 2021. “Development of fragility functions for rigid-frame bridges subjected to tsunami-induced hydrodynamic forces.” Struct. Infrastruct. Eng. 18 (9): 1282–1299. https://doi.org/10.1080/15732479.2021.1892774.
Rahman, J., and A. H. M. M. Billah. 2021. “Wave loading on bridges: A state-of-the-art review.” In Proc., of the Canadian Society of Civil Engineering Annual Conf. Singapore: Springer.
Robertson, I. N., H. R. Riggs, S. C. Yim, and Y. L. Young. 2007. “Lessons from Hurricane Katrina storm surge on bridges and buildings.” J. Waterw. Port Coastal Ocean Eng. 133 (6): 463–483. https://doi.org/10.1061/(ASCE)0733-950X(2007)133:6(463).
Schumacher, T., C. Higgins, C. Bradner, D. Cox, and S. C. Yim. 2008. “Large-scale wave flume experiments on highway bridge superstructures exposed to hurricane wave forces.” In Proc., 6th National Seismic Conf., on Bridges and Highways. Charleston, SC: Transportation Research Board.
Sheppard, D. M., and J. Marin. 2009. Wave loading on bridge decks: Final Report BD545-58. Tallahassee, FL: Florida Department of Transportation.
Siddiquee, K., and M. Alam. 2017. “Highway bridge infrastructure in the province of British Columbia (BC), Canada.” Infrastructures 2 (2): 7. https://doi.org/10.3390/infrastructures2020007.
Stefanidou, S. P., and A. J. Kappos. 2017. “Methodology for the development of bridge-specific fragility curves.” Earthquake Eng. Struct. Dyn. 46 (1): 73–93. https://doi.org/10.1002/eqe.2774.
Stefanidou, S. P., E. A. Paraskevopoulos, V. K. Papanikolaou, and A. J. Kappos. 2022. “An online platform for bridge-specific fragility analysis of as-built and retrofitted bridges.” Bull. Earthquake Eng. 20 (3): 1717–1737. https://doi.org/10.1007/s10518-021-01299-3.
Wagner, H. D., S. L. Phoenix, and P. Schwartz. 1984. “A study of statistical variability in the strength of single aramid filaments.” J. Compos. Mater. 18 (4): 312–338. https://doi.org/10.1177/002199838401800402.
Wang, P., M. Zhao, X. Du, and J. Liu. 2019. “Dynamic response of bridge pier under combined earthquake and wave–current action.” J. Bridge Eng. 24 (10): 04019095. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001471.
Winter, A. O., M. R. Motley, and M. O. Eberhard. 2018. “Tsunami-like wave loading of individual bridge components.” J. Bridge Eng. 23 (2): 04017137. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001177.
Xiong, H., J. Yang, and X. Tian. 2020. “An experimental study on the inline wave force on a truncated vertical cylinder.” Ships Offshore Struct. 15 (1): 39–52. https://doi.org/10.1080/17445302.2015.1114292.
Zhang, J., and Y. Huo. 2009. “Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method.” Eng. Struct. 31 (8): 1648–1660. https://doi.org/10.1016/j.engstruct.2009.02.017.
Zhu, J., and W. Zhang. 2017. “Numerical simulation of wind and wave fields for coastal slender bridges.” J. Bridge Eng. 22 (3): 04016125. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001002.
Zhu, J., W. Zhang, and M. X. Wu. 2018. “Coupled dynamic analysis of the vehicle-bridge-wind-wave system.” J. Bridge Eng. 23 (8): 04018054. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001268.
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Information
Published In
Journal of Bridge Engineering
Volume 28 • Issue 3 • March 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jun 8, 2022
Accepted: Nov 11, 2022
Published online: Jan 13, 2023
Published in print: Mar 1, 2023
Discussion open until: Jun 13, 2023
ASCE Technical Topics:
- Bridge components
- Bridge decks
- Bridge engineering
- Bridges
- Decks
- Design (by type)
- Disaster risk management
- Disasters and hazards
- Engineering fundamentals
- Fluid mechanics
- Hydraulic engineering
- Hydraulic structures
- Hydrologic engineering
- Load factors
- Material mechanics
- Material properties
- Materials engineering
- Ocean waves
- Piers
- Ports and harbors
- Structural design
- Structural engineering
- Structural systems
- Water and water resources
- Water waves
- Waves (fluid mechanics)
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