A New Methodology to Assess Indirect Losses in Bridges Subjected to Multiple Hazards

Davide Forcellini


Decision making approaches to manage bridge recovering after the impact of multiple hazards are increasing all over the world. In particular, bridges can be considered critical links in highway networks because of their vulnerability and their resilience can be assessed on the basis of evaluation of direct and indirect losses. This paper aims at proposing a new methodology to assess indirect losses for bridges subjected to multiple hazards. The method applied to calculate direct costs is the credited Performance Based Earthquake Engineering (PBEE) methodology by the Pacific Earthquake Engineering Research (PEER) center. Therefore, the main objective of the study consists in the assessment of indirect losses that are generally neglected elsewhere. In particular, the paper proposes to calculate indirect losses from direct costs and to divide them into connectivity losses and prolongation of time. The presented formulation has been applied to a real case study aimed at strengthening a benchmark bridge with several isolated configurations. The results show that the application of the proposed methodology allows to evaluate possible solutions to strengthen the original configuration.


Type Your Keywords Here; Separated By Semicolons; Response Site Analysis; Opensees; Numerical Simulations; Eurocode 8.


Forcellini, D (2017). “Cost Assessment of isolation technique applied to a benchmark bridge with soil structure interaction.” Bulletin of earthquake Engineering, doi: 10.1007/s10518-016-9953-0.

Gelh P., D’Ayala D. (2016) “Development of a Bayesian Networks for the multi-hazard fragility assessment of bridge systems”, Structural Safety 60. 37–46. doi: 10.1016/j.strusafe.2016.01.006.

Andric J.M and Lu D (2016). “Risk assessment of bridges under multiple hazards in operation period”. Safety Science (83): 80-92. doi: 10.1016/j.ssci.2015.11.001.

Quang C., Shen J.J Zhou, M., Lee G.C. (2015). “Force-based and displacement-based reliability assessment approaches for highway bridges under multiple hazard actions”. Journal of traffic and transportation engineering: 2(4):223-232.

Alipour A., Shafei B., M., Shinozuka M. (2015). “Reliability-based Calibration of Load and Resistance Factors for Design of RC bridges under multiple extreme vents: sour and earthquake.”. Journal of Bridge Engineering, 2013, 18(5): 362-371.

Pitilakis, K., Argyroudis, S., Kakderi, K., Selva J. (2016) Systemic vulnerability and risk assessment of transportatio systems under natural hazards towards more resilient and robust infrastructures. Transportation Research Procedia 14 ( 2016 ) 1335-1344. doi: 10.1016/j.trpro.2016.05.206.

Wardhana K, Hadipriono F (2003) Analysis of recent bridge failures in the United States. J. Perform. Constr. Facil. 17(3):144-150. ISSN: 0887-3828.

Federal Highway Administration (FHWA) (2015) Deficient Bridges by State and Highway System. US Department of Transportation. ASCE (2017) Infrastructure Report Card.

Bruneau, M., Chang, S., Eguchi, R., Lee, G., O’Rourke, T., Reinhorn, A.M., Shinozuka, M., Tierney, K., Wallace, W. and Winterfelt, D. (2003). “A framework to Quantitatively Assess and Enhance the Seismic Resilience of Communities”. E. Spectra, 19(4), 733-7. doi: 10.1193/1.1623497.

Zhang W, Wang N (2016). Resilience-based risk mitigation for road networks. Structural Safety, 62: 57-65. doi: 10.1016/j.strusafe.2016.06.003.

Cimellaro G. (2016) “Urban resilience for emerging response and recovery”, Springer, DOI: 10.1007/978-3-319-30656-8. doi: 10.1061/(ASCE)ST.1943-541X.0001672.

Gidaris I., Padgett J.E., Barbosa A.R., Chen S. (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”, Journal of Structural Engineering, 143(3): 04016188. doi: 10.1061/(ASCE)ST.1943-541X.0001672.

Tierney K.J. (1995) “Impacts of recent US disasters on businesses: the 1993 midwest floods and the 1994 Northridge Earthquake”, Preliminary paper n.270, University of Delaware Disaster Research Center.

Wasileski, G., Rodríguez, H., Diaz, W. (2011) “Business closure and relocation: a comparative analysis of the Loma Prieta earthquake and Hurricane Andrew” Disasters, 35 (1), pp. 102–129. doi: 10.1111/j.1467-7717.2010.01195.x.

Webb, G.R., Tierney, K.J., Dahlhamer, J.M. (2002) “Predicting long-term business recovery from disaster: A comparison of the Loma Prieta earthquake and Hurricane Andrew” Global Environmental Change Part B: Environmental Hazards, 4 (2), pp. 45–58. doi: 10.3763/ehaz.2002.0405.

Chang, S.E., Svekla, W.D. , Shinozuka M. (2002) “Linking infrastructure and urban economy: simulation of water-disruption impacts in earthquakes” Environment and Planning B, 29 (2), pp. 281–302.

Miles S.B. and Chang S.E. (2003) “Urban Disaster Recovery: A Framework and Simulation Model”MCEER-07-0014(PB2004-104388,CD-A07). ISSN 1520-295X

Chang, S.E. and Shinozuka,M. (2004) “Measuring Improvements in the Disaster Resilience of Communities.” Engineering Structures 20(2), 739-755.

Renschler, C., Frazier, A., Arendt, L., Cimellaro, G.P., Reinhorn, A.M., Bruneau M. (2010) “Framework for Defining and Measuring Resilience at the Community Scale: The PEOPLES Resilience Framework” T. Report MCEER-10-006 (2010), Univ at Buffalo, NY. doi: 10.1007/978-94-017-8875-5_27.

Brookshire DS, Chang SE, Cochrane H, Olson RA, Rose A, Steenson, J (1997) “Direct and Indirect Economic Losses from Earthquake Damage”. Earthquake Spectra; 14 (4): 683-701.

Forcellini, D. (2016) “A Direct-Indirect Cost Decision Making Assessment Methodology for Seismic Isolation on Bridges”, J. of Mathematics and System Science, vol. 4, No. 03-04, 85-95. doi: 10.17265/2328-224X/2015.0304.002.

Adey B, Hajdin R, Brudwile E (2004) “Effect of common cause failures on indirect costs”. Journal of Bridge Engineering 9 (2): 200-208.

Lu, J., Mackie, K.R., and Elgamal, A. (2011) “BridgePBEE: OpenSees 3D Pushover and Earthquake Analysis of Single-Column 2-span Bridges, User Manual, Beta 1.0”, http://peer.berkeley.edu/bridgepbee/.

Mackie K.R., Lu J, Elgamal A (2010) “User interface for performance-based earthquake engineering: a single bent bridge pilot investigation”. 9th US National and 10 th Canadian Conference on Earthquake Engineering: Reaching Beyond Borders, Toronto, Canada.

Billah AHM, Alam MS (2015). Seismic fragility assessment of highway bridges: a state-of-the-art review. Str & Infrastr Eng 11(6):804-832. doi: 10.1080/15732479.2014.912243.

Karamlou A. and Bocchini P. (2015) “Computation of bridge seismic fragility by large-scale simulation for probabilistic resilience analysis”. Earthquake Engng Struct. Dyn. 2015; 44:1959–1978. doi: 10.1002/eqe.2567.

Kelly JM (1997) Earthquake-Resistant Design with Rubber, 2nd ed., Springer-Verlag, London, UK. doi: 10.1007/978-1-4471-0971-6

Forcellini D, Kelly JM (2014) The analysis of the large deformation stability of elastomeric bearings. Journal of Engineering Mechanics, ASCE; 140(6):04014036. doi: 10.1061/(ASCE)EM.1943-7889.0000729.

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DOI: 10.28991/esj-2018-01159


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