Abstract
This Chapter presents a literature review of seismic fragility functions for reinforced concrete road and railway bridges. It first covers the main issues in fragility analysis, such as the systems for classification of bridges, methods for deriving fragility functions, intensity measures, damage states and damage measures. A section is dedicated to the way the uncertainties regarding the seismic action, geometry, material properties and modelling are treated in existing studies. The Chapter deals also with the recent developments that examine special issues which were not addressed in the first generation of fragility curves. They refer to damaged and retrofitted bridges, the effects of corrosion, skew, spatial variability of the seismic action and liquefaction. Finally, a method for fast fragility analysis of regular bridges is presented. The method applies to bridges with continuous deck monolithically connected to the piers or supported on elastomeric bearings and with free or constrained transverse translation at the abutments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Argyroudis S, Monge O, Finazzi D, Pessina V (2003) Vulnerability assessment of lifelines and essential facilities: methodological handbook, Appendix 1: roadway transportation system. Report n°GTR-RSK 0101-152av7
ATC (1985) Earthquake damage evaluation data for California. Applied Technology Council, Redwood
Avşar Ö, Yakut A (2010) Evaluation of ground motion intensity measures for the fragility curves of ordinary highway bridges in Turkey. In: Proceedings of the 9th US national & 10th Canadian conference on earthquake engineering, Toronto
Avşar Ö, Yakut A, Caner A (2011) Analytical fragility curves for ordinary highway bridges in Turkey. Earthq Spectra 27(4):971–996
Aygün B, Dueñas-Osorio L, Padgett JE, DesRoches R (2011) Efficient longitudinal seismic fragility assessment of a multispan continuous steel bridge on liquefiable soils. ASCE J Bridge Eng 16(1):93–107
Azevedo J, Guerreiro L, Bento R, Lopes M, Proença J (2010) Seismic vulnerability of lifelines in the greater Lisbon area. Bull Earthq Eng 8(1):157–180
Banerjee S, Shinozuka M (2008) Mechanistic quantification of RC bridge damage states under earthquake through fragility analysis. Probab Eng Mech 23(1):12–22
Bardakis VG, Fardis MN (2011) Nonlinear dynamic v elastic analysis for seismic deformation demands in concrete bridges having deck integral with the piers. Bull Earthq Eng 9(2):519–536
Basöz N, Kiremidjian AS (1996) Risk assessment for highway transportation systems. The John A. Blume Earthquake Engineering Center, Stanford
Basöz NI, Kiremidjian AS, King SA, Law KH (1999) Statistical analysis of bridge damage data from the 1994 Northridge, CA, earthquake. Earthq Spectra 15(1):25–54
Biskinis DE, Fardis MN (2010a) Deformations at flexural yielding of members with continuous or lapspliced bars. Struct Concr 11(3):127–138
Biskinis DE, Fardis MN (2010b) Flexure-controlled ultimate deformations of members with continuous or lap-spliced bars. Struct Concr 11(2):93–108
Biskinis DE, Fardis MN (2013) Stiffness and cyclic deformation capacity of circular RC columns with or without lap-splices and FRP-wrapping. Bull Earthq Eng 11:1447–1466. doi:10.1007/s10518-013-9442-7
Biskinis DE, Roupakias G, Fardis MN (2004) Degradation of shear strength of RC members with inelastic cyclic displacements. ACI Struct J 101(6):773–783
Cardone D, Perrone G, Sofia S (2011) A performance-based adaptive methodology for the seismic evaluation of multi-span simply supported deck bridges. Bull Earthq Eng 9(5):1463–1498
Casciati F, Cimellaro GP, Domaneschi M (2008) Seismic reliability of a cable-stayed bridge retrofitted with hysteretic devices. Comput Struct 86(17–18):1769–1781
CEN (2002) EN 1990 Eurocode: basis of structural design. European Committee for Standardization, Brussels
CEN (2003) EN 1991-2 Eurocode 1: actions on structures – Part 2: Traffic loads on bridges. European Committee for Standardization, Brussels
CEN (2004a) EN 1992-1-1 Eurocode 2: design of concrete structures – Part 1-1: General rules and rules for buildings. European Committee for Standardization, Brussels
CEN (2004b) EN 1998-1 Eurocode 8: design of structures for earthquake resistance – Part 1: General rules, seismic actions and rules for buildings. European Committee for Standardization, Brussels
CEN (2005a) EN 1337-3 structural bearings – Part 3: Elastomeric bearings. European Committee for Standardization, Brussels
CEN (2005b) EN 1990 Eurocode: basis of structural design – Annex A2: application for bridges. European Committee for Standardization, Brussels
CEN (2005c) EN 1992-2 Eurocode 2: design of concrete structures – concrete bridges – design and detailing rules. European Committee for Standardization, Brussels
CEN (2005d) EN 1998-2 Eurocode 8: design of structures for earthquake resistance – Part 2: Bridges. European Committee for Standardization, Brussels
CEN (2005e) EN 1998-3 Eurocode 8: design of structures for earthquake resistance – Part 3: Assessment and retrofitting of buildings. European Committee of Standardization, Brussels
Ceresa P, Borzi B, Noto F, Onida M (2012a) Application of a probabilistic mechanics-based methodology for the seismic risk assessment of the Italian RC bridges. In: 15th world conference on earthquake engineering, Lisbon
Ceresa P, Fiorini E, Borzi B (2012b) Effects of the seismic input variability on the seismic risk assessment of RC bridges. In: 15th world conference on earthquake engineering, Lisbon
Choe D-E, Gardoni P, Rosowsky D (2007) Closed-form fragility estimates, parameter sensitivity, and Bayesian updating for RC columns. ASCE J Eng Mech 133(7):833–843
Choe D-E, Gardoni P, Rosowsky D, Haukaas T (2009) Seismic fragility estimates for reinforced concrete bridges subject to corrosion. Struct Saf 31:275–283
Choi E, DesRoches R, Nielson B (2004) Seismic fragility of typical bridges in moderate seismic zones. Eng Struct 26(2):187–199
Crowley H (ed) (2011) Fragility functions for roadway bridges. SYNER-G Deliverable D3.6
De Felice G, Giannini R (2010) An efficient approach for seismic fragility assessment with application to old reinforced concrete bridges. J Earthq Eng 14(2):231–251
Dong Y, Frangopol DM, Saydam D (2013) Time-variant sustainability assessment of seismically vulnerable bridges subjected to multiple hazards. Earthq Eng Struct Dyn 42(10):1451–1467
Elnashai AS, Borzi B, Vlachos S (2004) Deformation-based vulnerability functions for RC bridges. Struct Eng Mech 17(2):215–244
Fajfar P, Gašperšič P (1996) The N2 method for the seismic damage analysis of RC buildings. Earthq Eng Struct Dyn 25(1):31–46
Fardis MN, Tsionis G (2013) Eigenvalues and modes of distributed-mass symmetric multispan bridges with restrained ends for seismic response analysis. Eng Struct 51:141–149
FEMA (2010) Hazus MH MR5 technical manual. Federal Emergency Management Agency, Washington, DC
fib (2012) Model code 2010 – final draft. Bulletins 65/66, Federation Internationale du Beton, Lausanne
Franchin P, Pinto PE (2009) Allowing traffic over mainshock-damaged bridges. J Earthq Eng 13(5):585–599
Franchin P, Lupoi A, Pinto PE (2006) On the role of road networks in reducing human losses after earthquakes. J Earthq Eng 10(2):195–206
Gardoni P, Rosowsky D (2009) Seismic fragility increment functions for deteriorating reinforced concrete bridges. Struct Infrastruct Eng 7(11):869–879
Gardoni P, Mosalam KM, Der Kiureghian A (2003) Probabilistic seismic models and fragility estimates for RC bridges. J Earthq Eng 7(1):79–106
Ghosh J, Padgett JE (2010) Aging considerations in the development of time-dependent seismic fragility curves. ASCE J Struct Eng 136(12):1497–1511
Ghosh J, Padgett JE (2011) Probabilistic seismic loss assessment of aging bridges using a component-level cost estimation approach. Earthq Eng Struct Dyn 40(15):1743–1761
Hancilar U, Taucer F (eds) (2013) Guidelines for typology definition of European physical assets for earthquake risk assessment. Publications Office of the European Union, Luxembourg
Jeong SH, Elnashai AS (2007) Probabilistic fragility analysis parameterized by fundamental response quantities. Eng Struct 29(6):1238–1251
Karim KR, Yamazaki F (2001) Effect of earthquake ground motions on fragility curves of highway bridge piers based on numerical simulation. Earthq Eng Struct Dyn 30(12):1839–1856
Karim KR, Yamazaki F (2003) A simplified method of constructing fragility curves for highway bridges. Earthq Eng Struct Dyn 32(10):1603–1626
Khan RA, Datta TK, Ahmad S (2004) Seismic risk analysis of cable stayed bridges with support flexibility. In: 13th world conference on earthquake engineering, Vancouver
Kibboua A, Naili M, Benouar D, Kehila F (2011) Analytical fragility curves for typical Algerian reinforced concrete bridge piers. Struct Eng Mech 39(3):411–442
Kim S-H, Shinozuka M (2004) Development of fragility curves of bridges retrofitted by column jacketing. Probab Eng Mech 19(1–2):105–112
Kumar R, Gardoni P, Sanchez-Silva M (2009) Effect of cumulative seismic damage and corrosion on the life-cycle cost of reinforced concrete bridges. Earthq Eng Struct Dyn 38(7):887–905
Kunnath SK, Larson L, Miranda E (2006) Modeling considerations in probabilistic performance-based seismic evaluation: case study of the I-880 viaduct. Earthq Eng Struct Dyn 35(1):57–75
Kurian SA, Deb SK, Dutta A (2006) Seismic vulnerability assessment of a railway overbridge using fragility curves. In: 4th international conference on earthquake engineering, Taipei
Kwon O-S, Elnashai A (2006) The effect of material and ground motion uncertainty on the seismic vulnerability curves of RC structure. Eng Struct 28(2):289–303
Kwon O-S, Elnashai AS (2009) Fragility analysis of a highway over-crossing bridge with consideration of soil–structure interactions. Struct Infrastruct Eng 6(1–2):159–178
Kwon O, Sextos AG, Elnashai, AS (2009) Seismic fragility of a bridge on liquefaction susceptible soil. In: 10th international conference on structure safety and reliability, Osaka
Lehman D, Moehle J, Mahin S, Calderone A, Henry L (2004) Experimental evaluation of the seismic performance of reinforced concrete bridge columns. ASCE J Struct Eng 130(6):869–879
Li J, Spencer BF, Elnashai AS (2012) Bayesian updating of fragility functions using hybrid simulation. ASCE J Struct Eng 139(7):1160–1171
Lupoi G, Franchin P, Lupoi A, Pinto PE (2004) Seismic fragility analysis of structural systems. In: 13th world conference on earthquake engineering, Vancouver
Lupoi A, Franchin P, Pinto PE, Monti G (2005) Seismic design of bridges accounting for spatial variability of ground motion. Earthq Eng Struct Dyn 34(4–5):327–348
Mackie K, Stojadinović B (2004a) Fragility curves for reinforced concrete highway overpass bridges. In: 13th world conference on earthquake engineering, Vancouver
Mackie K, Stojadinović B (2004b) Improving probabilistic seismic demand models through refined intensity measures. In: 13th world conference on earthquake engineering, Vancouver
Mackie KR, Stojadinović B (2006) Post-earthquake functionality of highway overpass bridges. Earthq Eng Struct Dyn 35(1):77–93
Mackie K, Stojadinović B (2007) R -factor parameterized bridge damage fragility curves. ASCE J Bridge Eng 12(4):500–510
Marano GC, Greco R, Mezzina M (2006) Analytical evaluation of fragility curves by using stochastic approach. In: 2nd fib international congress, Naples
Monti G, Nisticò N (2002) Simple probability-based assessment of bridges under scenario earthquakes. ASCE J Bridge Eng 7(2):104–114
Moschonas IF, Kappos AJ, Panetsos P, Papadopoulos V, Makarios T, Thanopoulos P (2009) Seismic fragility curves for Greek bridges: methodology and case studies. Bull Earthq Eng 7(2):439–468
Nateghi F, Shahsavar VL (2004) Development of fragility and reliability curves for seismic evaluation of a major prestressed concrete bridge. In: 13th world conference on earthquake engineering, Vancouver
Nielson BG, DesRoches R (2007) Seismic fragility methodology for highway bridges using a component level approach. Earthq Eng Struct Dyn 36(6):823–839
Nielson BG, Pang WC (2011) Effect of ground motion suite size on uncertainty estimation in seismic bridge fragility modeling. In: 2011 structures congress, Las Vegas
Padgett JE, DesRoches R (2007a) Bridge functionality relationships for improved seismic risk assessment of transportation networks. Earthq Spectra 23(1):115–130
Padgett JE, DesRoches R (2007b) Sensitivity of seismic response and fragility to parameter uncertainty. ASCE J Struct Eng 133(12):1710–1718
Padgett JE, DesRoches R (2009) Retrofitted bridge fragility analysis for typical classes of multispan bridges. Earthq Spectra 25(1):117–141
Padgett JE, Nielson BG, DesRoches R (2008) Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios. Earthq Eng Struct Dyn 37(5):711–725
Padgett JE, Ghosh J, Dueñas-Osorio L (2013) Effects of liquefiable soil and bridge modelling parameters on the seismic reliability of critical structural components. Struct Infrastruct Eng 9(1):59–77
Park YJ, Ang AHS (1985) Seismic damage analysis of reinforced concrete buildings. ASCE J Struct Eng 111(4):740–757
Park J, Choi E (2011) Fragility analysis of track-on steel-plate-girder railway bridges in Korea. Eng Struct 33(3):696–705
Prasad GG, Banerjee S (2013) The impact of flood-induced scour on seismic fragility characteristics of bridges. J Earthq Eng 17(6):803–828
Qi’ang W, Ziyan W, Shukui L (2012) Seismic fragility analysis of highway bridges considering multi-dimensional performance limit state. Earthq Eng Eng Vib 11(2):185–193
RMS (1995) Development of a standardized earthquake loss estimation methodology. Risk Management Solutions, Menlo Park
Saxena V, Deodatis G, Shinozuka M, Feng MQ (2000) Development of fragility curves for multi-span reinforced concrete bridges. In: International conference Mt-Carlo simulation, Monaco
Sextos A, Pitilakis K, Kappos A (2003a) Inelastic dynamic analysis of RC bridges accounting for spatial variability of ground motion, site effects and soil-structure interaction phenomena. Part 1: Methodology and analytical tools. Earthq Eng Struct Dyn 32(4):607–627
Sextos A, Pitilakis K, Kappos A (2003b) Inelastic dynamic analysis of RC bridges accounting for spatial variability of ground motion, site effects and soil-structure interaction phenomena. Part 2: Parametric analysis. Earthq Eng Struct Dyn 32(4):629–652
Shama AA, Mander JB (2003) The seismic performance of braced timber pile bents. Earthq Eng Struct Dyn 32(3):463–482
Shinozuka M, Feng MQ, Lee J, Naganuma T (2000a) Statistical analysis of fragility curves. ASCE J Eng Mech 126(12):1224–1231
Shinozuka M, Feng MQ, Kim HK, Kim SH (2000b) Nonlinear static procedure for fragility curve development. ASCE J Eng Mech 126(12):1287–1295
Shirazian S, Ghayamghamian MR, Nouri GR (2011) Developing of fragility curve for two-span simply supported concrete bridge in near-fault area. World Acad Sci Eng Technol 51:571–575
Sullivan IT (2010) Analytical seismic fragility curves for skewed multi-span steel girder bridges. M.Sc. dissertation, Clemson University
Tanaka S, Kameda H, Nojima N, Ohnishi S (2000) Evaluation of seismic fragility for highway transportation systems. In: 12th world conference earthquake engineering, Auckland
Yamazaki F, Motomura H, Hamada T (2000) Damage assessment of expressway networks in Japan based on seismic monitoring. In: 12th world conference earthquake engineering, Auckland
Yi JH, Kim SH, Kushiyama S (2007) PDF interpolation technique for seismic fragility analysis of bridges. Eng Struct 29(7):1312–1322
Zakeri B, Padgett JE, Amiri GG (2013) Fragility analysis of skewed single frame concrete box girder bridges. ASCE J Perform Constr Facil. doi:10.1061/(ASCE)CF.1943-5509.0000435
Zhang J, Huo Y, Brandenberg SJ, Kashighandi P (2008) Effects of structural characterizations on fragility functions of bridges subject to seismic shaking and lateral spreading. Earthq Eng Eng Vib 7(4):369–382
Zhong J, Gardoni P, Rosowsky D (2012) Seismic fragility estimates for corroding reinforced concrete bridges. Struct Infrastruct Eng 8(1):55–69
Acknowledgments
The research leading to these results received funding from the European Community’s 7th Framework Programme (FP7/2007-2013) under grant agreement n° 244061.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Tsionis, G., Fardis, M.N. (2014). Fragility Functions of Road and Railway Bridges. In: Pitilakis, K., Crowley, H., Kaynia, A. (eds) SYNER-G: Typology Definition and Fragility Functions for Physical Elements at Seismic Risk. Geotechnical, Geological and Earthquake Engineering, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7872-6_9
Download citation
DOI: https://doi.org/10.1007/978-94-007-7872-6_9
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-7871-9
Online ISBN: 978-94-007-7872-6
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)