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Seismic evaluation of RC bridge pier using analytical fragility curves

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Abstract

This paper aims to evaluate the seismic vulnerability of a RC bridge pier using analytical approach that involves numerical modelling of structure, nonlinear analyses on the model and preparation of damage ranks for different damage states. In addition, simplified method to develop fragility curves for a typical highway bridge pier using nonlinear modelling at element and material levels has been discussed in this study. An existing two-span PSC box girder bridge has been chosen to carry out the analysis. Beam with hinges model for element modelling, reinforcing steel and concrete 01 models have been adopted for steel and concrete materials, respectively. Nonlinear static analysis and time history analyses were carried out to evaluate the capacity of pier, and corresponding responses of pier were studied under different ground motion intensities. By assuming log-normal distribution, fragility curves were constructed in longitudinal and transverse directions. In longitudinal direction, the probability of exceeding slight, moderate and extensive damage states is 73.9%, 65.2% and 58.5%, respectively, at 2.5 g (g = 9.81 m/s2) peak ground acceleration (PGA) and the probability of collapse at 2.5 g is 50%. In transverse direction, the probability of exceeding slight, moderate and extensive damage states is 91.7%, 98.2% and 80.75%, respectively, at PGA 3 g, and the probability of collapse is 59.8% in this direction. This simplified method discussed in the present study is useful to construct fragility curves for bridges in India which fall in the same group and similar characteristics. Fragility curves are particularly useful in assessing the seismic vulnerability of bridge piers in highly seismic-prone areas of India where seismic retrofit of bridges and pre-earthquake planning are becoming more prevalent.

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References

  1. Billah AM, Alam MS (2015) Seismic fragility assessment of highway bridges: A state-of-the-art review. Struct Infrastruct Eng 11(6):804–832. https://doi.org/10.1080/15732479.2014.912243

    Article  Google Scholar 

  2. Agarwal P, Shrikhande M (2006) Earthquake Resistant Design of Structures. Printice-Hall of India Learning Private Limited, New Delhi

  3. Cosmos ground motion database. https://strongmotioncenter.org/vdc Accessed 15 June 2022

  4. PESMOS ground motion database. https://pesmos.org Accessed 15 June 2022

  5. IS 1893 (Part 3) Criteria for Earthquake Resistant Design of Structures. Bureau of Indian Standards. New Delhi, 2014

  6. IRC: SP: 114–2018 Guidelines for Seismic Design of Road Bridges. Indian Road Congress, MAY 2018

  7. Whitman RV, Biggs JM, Brennan JE, Cornell AC, de Neufville RL, Vanmarcke EH (1975) Seismic design decision analysis. J Struct Div ASCE 101(5):1067–1084. https://doi.org/10.1061/JSDEAG.0004049

    Article  Google Scholar 

  8. ATC (1991) Seismic vulnerability and impact of disruption of lifelines in the Coterminous United States (Report No. ATC-25). Redwood City, CA: Applied Technology Council

  9. Basoz N, Kiremidjian AS (1998) Evaluation of bridge damage data from the Loma Prieta and Northridge, California Earthquakes. Technical report MCEER-98–0004. multidisciplinary centre for earthquake engineering research, State University of Buffalo, New York. Accessed 15 June 2022

  10. Der Kiureghian A (2002) Bayesian methods for seismic fragility assessment of lifeline components. ASCE Council on Disaster Reduction and Technical Council on Lifeline Earthquake Engineering Monograph 21, ASCE, Reston, Va., 61–77

  11. Shinozuka M, Feng MQ, Kim H, Uzawa T, Ueda T (2001) Statistical analysis of fragility curves Technical Report MCEER-03–0002. State University of Buffalo, New York, Multidisciplinary Centre for Earthquake Engineering Research

    Google Scholar 

  12. Elnashai AS, Sarno LD (2015) Fundamentals of Earthquake Engineering: From source to Fragility, 2nd edn. John Wiley & Sons, Ltd., New York

    Google Scholar 

  13. Yamazaki F, Motomura H, Hamada T (2000) Damage assessment of expressway networks in Japan based on seismic monitoring, Proceedings of 12th World Conference on Earthquake Engineering, Auckland, New Zealand, 0551: 1–8

  14. Vosooghi A, Saiidi MS (2012) Experimental fragility curves for seismic response of reinforced concrete bridge columns. ACI Struct J 109(6):825–834

    Google Scholar 

  15. Banerjee S, Chi C (2013) State-dependent fragility curves of bridges based on vibration measurements. Probabilistic Eng Mech 33:116–125. https://doi.org/10.1016/j.probengmech.2013.03.007

    Article  Google Scholar 

  16. Karim KR, Yamazaki F (2000). Comparison of empirical and analytical fragility curves for RC bridge piers in Japan. 8th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, ASCE, Paper No. PMC 2000–050

  17. 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):1839–18656. https://doi.org/10.1002/eqe.97

    Article  Google Scholar 

  18. Karim KR, Yamazaki F (2002) Effect of structural parameters on fragility curves of highway bridges based on numerical simulation. BULERS. 35:45–64

    Google Scholar 

  19. Karim KR, Yamazaki F (2003) A simplified method of constructing fragility curves for highway bridges. Earthq Eng Struct Dyn 32(10):1603–1626. https://doi.org/10.1002/eqe.291

    Article  Google Scholar 

  20. Kappos AJ, Panagopoulos G, Panagiotopoulos C, Penelis G (2006) A hybrid method for the vulnerability assessment of R/C and URM buildings. Bull Earthquake Eng 4:391–413. https://doi.org/10.1007/s10518-006-9023-0

    Article  Google Scholar 

  21. Kappos AJ, Panagopoulos G (2010) Fragility curves for reinforced concrete buildings in Greece. Struct Infrastruct Eng 6(1–2):39–53. https://doi.org/10.1080/15732470802663771

    Article  Google Scholar 

  22. Mander JB, Basoz N (1999) Seismic fragility curves theory for highway bridges. Proceedings of the 5th U.S. Conference on Lifeline Earthquake Engineering. TCLEE No. ASCE, 16: 31– 40.

  23. Choi E, Jeon JC (2003) Seismic fragility of typical bridges in moderate seismic zones. KSCE J Civil Eng 7(1):41–51. https://doi.org/10.1007/BF02841989

    Article  Google Scholar 

  24. Mackie K, Stojadinovic B (2004) Fragility curves for reinforced concrete highway overpass bridges. 13th world conference on Earthquake Engineering Vancouver, B.C., Canada, August 1–6, 2004. Paper No: 1553

  25. Nielson BG, Des Roches R (2007) Seismic fragility methodology for highway bridges using a component level approach. Earthq Eng Struct Dyn 36(6):823–839. https://doi.org/10.1002/eqe.655

    Article  Google Scholar 

  26. Banerjee S, Shinozuka M (2007) Nonlinear static procedure for seismic vulnerability assessment of bridges. Comput-Aided Civ Infrastruct Eng 22(4):293–305. https://doi.org/10.1111/j.1467-8667.2007.00486.x

    Article  Google Scholar 

  27. Lee SM, Kim TJ, Kang SL (2007) Development of fragility curves for bridges in Korea. KSCE J Civ Eng 11:165–174. https://doi.org/10.1007/BF02823897

    Article  Google Scholar 

  28. Banerjee S, Shinozuka M (2008) Experimental verification of bridge seismic damage states quantified by calibrating analytical models with empirical field data. Earthq Eng Eng Vib 7:383–393. https://doi.org/10.1007/s11803-008-1010-9

    Article  Google Scholar 

  29. Dryden M, Fenves GL (2008) Validation of numerical Simulations of a Two-Span Reinforced Concrete Bridge. The 14th World Conference on Earthquake Engineering October 12–17, 2008, Beijing, China

  30. Wang DS, Ai QH, Li HN, Si BJ, Sun ZG (2008) Displacement based seismic design of RC bridge piers: Method and experimental evaluation. The 14th World Conference on Earthquake Engineering October 12–17, 2008, Beijing, China

  31. Baylon MB, Co AD (2015) Seismic assessment of CAMANAVA transportation lifelines using fragility analysis. Proceedings of the Tenth Pacific Conference on Earthquake Engineering Building an Earthquake-Resilient Pacific, 6–8 November 2015, Sydney, Australia

  32. Nguyen D, Park H, Lee T (2016) Seismic Performance of a double-curved continuous steel box girder bridge: a case study. The Fourteenth East Asia-Pacific Conference on structural engineering and construction (EASEC-14), January 6–8, 2016, Saigon, Vietnam

  33. Sharma B, Suwal R (2020) Seismic vulnerability evaluation of simply supported multi span RCC bridge pier. Int J Latest Eng Manag Res 5(8):42–48

    Google Scholar 

  34. Firoj M, Ojha S, Poddar P, Singh SK (2020) Seismic hazard assessment of existing reinforced concrete bridge structure using pushover analysis. J Struct Eng Appl Mech 3(4):229–243. https://doi.org/10.31462/jseam.2020.04229243

    Article  Google Scholar 

  35. Nesrine G, Djarir Y, Khelifa A, Tayeb B (2021) Performance assessment of interaction soil pile structure using the fragility methodology. Civ Eng J 7(2):376–398. https://doi.org/10.28991/cej-2021-03091660

    Article  Google Scholar 

  36. Lallam M, Mammeri A, Djebli A (2021) Fuzzy analytical hierarchy processes for damage state assessment of arch masonry bridge. Civ Eng J 7(11):1933–1946. https://doi.org/10.28991/cej-2021-03091770

    Article  Google Scholar 

  37. Aviram A, Mackie KR, Stojadinovic B (2008) Effect of abutment modelling on the seismic response of bridge structures. Earthq Eng Eng Vib 7(4):395–402. https://doi.org/10.1007/s11803-008-1008-3

    Article  Google Scholar 

  38. Mazzoni S, McKenna F, Scott MH, Fenves GL et al. (2006) Opensees Command Language Manual. Open System for Earthquake Engineering Simulation, July 2006, University of California. Accessed 15 June 2022

  39. Park YJ, Ang AHS (1985) Mechanistic seismic damage model for reinforced concrete. J Struct Eng ASCE 111(4):722–739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722)

    Article  Google Scholar 

  40. Almutairi A, Lu J, Elgamal A, Mackie K (2019) Ms Bridge: Opensees Pushover and Earthquake Analysis of Multi Span Bridges-User Manual. January 2019, University of California, San Diego La Jolla, California. Accessed 15 June 2022

  41. Nielson BG (2005) Analytical fragility curves for highway bridges in moderate seismic zones. Ph.D. Dissertation. Georgia Institute of Technology, Atlanta, GA. Accessed 15 June 2022

  42. Ramanathan K, DesRoches R, Padgett JE (2012) A comparison of pre- and post-seismic design considerations in moderate seismic zones through the fragility assessment of multi-span bridge classes. Eng Struct 45:559–573. https://doi.org/10.1016/j.engstruct.2012.07.004

    Article  Google Scholar 

  43. Ramanathan K, DesRoches R, Padgett JE (2010) Analytical fragility curves for multi-span continuous steel girder bridges in moderate seismic zones. Transp Res Rec: J Transp Res Board 2202(1):173–182. https://doi.org/10.3141/2F2202-21

    Article  Google Scholar 

  44. Choi E, DesRoches R, Nielson BG (2004) Seismic fragility of typical bridges in moderate seismic zones. Eng Struct 26(2):187–199. https://doi.org/10.1016/j.engstruct.2003.09.006

    Article  Google Scholar 

  45. Jara JM, Galvn A, Jara M, Olmos B (2013) Procedure for determining the seismic vulnerability of an irregular isolated bridge. Struct Infrastruct Eng 9(6):516–528. https://doi.org/10.1080/15732479.2011.576255

    Article  Google Scholar 

  46. Alam MS, Bhuiyan AR, Billah AHMM (2012) Seismic fragility assessment of SMA-bar restrained multi-span continuous highway bridge isolated with laminated rubber bearing in medium to strong seismic risk zones. Bull Earthquake Eng 10:1885–1909. https://doi.org/10.1007/s10518-012-9381-8

    Article  Google Scholar 

  47. Hwang H, Jernigan JB, Lin YW (2000) Evaluation of seismic damage to Memphis bridges and highway systems. J Bridge Eng ASCE 5(4):322–330. https://doi.org/10.1061/(ASCE)1084-0702(2000)5:4(322)

    Article  Google Scholar 

  48. Alipour A, Shafei B, Shinozuka M (2013) Reliability-based calibration of load factors for LRF Design of reinforced concrete bridges under multiple extreme events: scour and earthquake. J Bridge Eng ASCE 18(5):362–371. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000369

    Article  Google Scholar 

  49. Banerjee S, Prasad GG (2013) Seismic risk assessment of reinforced concrete bridges in flood-prone regions. Struct Infrastruct Eng 9(9):952–968. https://doi.org/10.1080/15732479.2011.649292

    Article  Google Scholar 

  50. Billah AHMM, Alam MS (2015) Seismic fragility assessment of concrete bridge pier reinforced with super-elastic shape memory alloy. Earthq Spectra. https://doi.org/10.1193/2F112512EQS337M

    Article  Google Scholar 

  51. Tavares DH, Padgett JE, Paultre P (2012) Fragility curves of typical as-built highway bridges in eastern Canada. Eng Struct 40:107–118. https://doi.org/10.1016/j.engstruct.2012.02.019

    Article  Google Scholar 

  52. Akbari R (2012) Seismic fragility analysis of reinforced concrete continuous span bridges with irregular configuration. Struct Infrastruct Eng 8(9):873–889. https://doi.org/10.1080/15732471003653017

    Article  Google Scholar 

  53. Li J, Spencer BF, Elnashai AS (2013) Bayesian updating of fragility functions using hybrid simulation. J Struct Eng ASCE 139:1160–1171. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000685

    Article  Google Scholar 

  54. Kim SH, Shinozuka M (2004) Development of fragility curves of bridges retrofitted by column jacketing. Probabilistic Eng Mech 19(1–2):105–112. https://doi.org/10.1016/2Fj.probengmech.2003.11.009

    Article  Google Scholar 

  55. Basu SB, Shinozuka M (2011) Effect of ground motion directionality on fragility characteristics of a highway bridge. Adv Civ Eng Article ID 536171:1–12. https://doi.org/10.1155/2011/536171

    Article  Google Scholar 

  56. HAZUS-MH. (2013) Retrieved September 04, 2015, from A Federal Emergency Management Agency

  57. Rahai AR, Nafari SF (2013) A comparison between lumped and distributed plasticity approaches in the pushover analysis results of a pc frame bridge. Int J Civ Eng 11(4): 217–225. http://ijce.iust.ac.ir/article-1-493-en.html

  58. Scott MH, Fenves GL (2006) Plastic hinge integration methods for force-based beam-column elements. J Struct Eng 132(2):244–252. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:2(244)

    Article  Google Scholar 

  59. Paulay T, Priestley M (1992) Seismic design of reinforced concrete and masonry buildings. John Wiley and Sons, New York

    Book  Google Scholar 

  60. Lu J, Elgamal A, Mackie KR (2015) parametric study of ordinary standard bridges using opensees and csi bridge. Report CA 16–2419. Transp Res Board http://worldcat.org/oclc/920685848

  61. Mander JB, Priestley MJN, Park R (1988) Theoretical stress–strain model for confined concrete. J Struct Eng 114(8):1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)

    Article  Google Scholar 

  62. Caltrans (2019) Caltrans Seismic Design Criteria version 2.0. California Department of Transportation, Sacramento, California

    Google Scholar 

  63. Hwang H, Liu JB, Chiu YH (2001) Seismic fragility analysis of highway bridges. Mid-America Earthquake Center, Technical Report: MAEC RR-4 project. Accessed 15 June 2022

  64. ATC (1996). Seismic evaluation and retrofit of concrete buildings (Report No. ATC-40). Redwood City, CA: Applied Technology Council

  65. Aviram A, Mackie KR, Stojadinović B (2008) Guidelines for nonlinear analysis of bridge structures in California. Pacific Earthquake Engineering Research Center

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  1. Department of Civil Engineering, National Institute of Technology Warangal, Warangal, Telangana, 506004, India

    Sai Chaitanya Banda & G. Rajesh Kumar

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  1. Sai Chaitanya Banda
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Correspondence to Sai Chaitanya Banda.

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Banda, S.C., Kumar, G.R. Seismic evaluation of RC bridge pier using analytical fragility curves. Innov. Infrastruct. Solut. 7, 276 (2022). https://doi.org/10.1007/s41062-022-00874-0

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