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Bulletin of Earthquake Engineering

, Volume 17, Issue 1, pp 237–270 | Cite as

A modelling approach for existing shear-critical RC bridge piers with hollow rectangular cross section under lateral loads

  • Paolino Cassese
  • Maria Teresa De RisiEmail author
  • Gerardo Mario Verderame
Original Research
  • 95 Downloads

Abstract

Most of the existing Reinforced Concrete (RC) bridges were designed before the recent advancements in earthquake engineering and seismic codes. The performance assessment of these bridges is, therefore, a crucial issue for seismic safety of bridge infrastructures and estimation of losses due to seismic events. Despite the seismic assessment of columns with solid cross-section in ordinary buildings may be considered as quite comprehensive, a similar conclusion cannot be drawn for shear-critical hollow core piers, widespread in existing bridge structures. The present work aims at contributing to the investigation about the response of RC piers with hollow rectangular cross-section under cyclic loading. The main goal of the study is the definition of a comprehensive and practice-oriented modelling approach for the assessment of seismic response of RC hollow rectangular piers, able to account for all the deformability contributions, and, particularly, able to reliably predict drift-capacity at shear failure and subsequent degrading stiffness. A three-component model, accounting for flexural flexibility, shear flexibility and slippage of rebars is adopted. The shear capacity assessment is dealt with more in details. A proper experimental database is collected, made up of cyclic tests on hollow rectangular piers failing in shear, with or without yielding of longitudinal reinforcing bars. A new empirical formulation for the assessment of the displacement capacity at shear failure, specifically for the investigated structural elements, is calibrated. The degrading stiffness also is empirically calibrated to completely define the degrading shear response. Finally, the proposed numerical model is validated through the comparison with the experimental results carried out by the Authors (also in terms of local deformability contributions) and with test results collected from literature, proving that it can be a simple and reliable tool for the seismic assessment of existing shear-critical bridge piers.

Keywords

Existing reinforced concrete bridge piers Hollow rectangular cross-section Seismic assessment Shear capacity assessment Numerical modelling Drift-capacity at shear failure Degrading stiffness 

Notes

Acknowledgements

This work was developed under the financial support of METROPOLIS (“Metodologie e tecnologie integrate e sostenibili per l’adattamento e la sicurezza di sistemi urbani”—PON ‘Ricerca e Competitività 2007–2013) and “ReLUIS-DPC 2014-2018 PR 2-Linea Strutture in cemento armato”, funded by the Italian Department of Civil Protection (DPC). These supports are gratefully acknowledged.

References

  1. ACI Committee 318 (1995) Building code requirement for structural concrete and commentary. American Concrete Institute, Farmington HillsGoogle Scholar
  2. ACI-ASCE Committee 326 (1962) Shear and diagonal tension. ACI J 59: 1–30, 277–334, 352–396Google Scholar
  3. Aschheim M, Moehle JP (1992) Shear strength and deformability of RC bridge columns subjected to inelastic cyclic displacements. Rep. No. UCB/EERC-92/04, Earthquake Engineering Research Centre, University of California at Berkeley, BerkeleyGoogle Scholar
  4. Aslani H, Miranda E (2005) Probabilistic earthquake loss estimation and loss disaggregation in buildings. Doctoral Dissertation, Stanford UniversityGoogle Scholar
  5. Baradaran Shoraka M, Elwood KJ (2013) Mechanical model for non-ductile reinforced concrete columns. J Earthq Eng 17(7):937–957Google Scholar
  6. Biskinis D, Fardis MN (2007) Effect of lap splices on flexural resistance and cyclic deformation capacity of RC members. Beton-und Stahlbetonbau 102(S1):51–59Google Scholar
  7. Biskinis DE, Roupakias GK, Fardis MN (2004) Degradation of shear strength of rein-forced concrete members with inelastic cyclic displacement. ACI Struct J 101(6):773–783Google Scholar
  8. Broderick BM, Elnashai AS, Ambraseys NN, Barr JM, Goodfellow RG, Higazy EM (1994) The Northridge (California) earthquake of 17 January 1994: observations, strong motion and correlative response analysis. Engineering Seismology and Earthquake Engineering, Research Report No. ESEE 94/4, Imperial College, LondonGoogle Scholar
  9. Calvi GM, Pavese A, Rasulo A, Bolognini D (2005) Experimental and numerical studies on the seismic response of RC hollow bridge piers. Bull Earthq Eng 3(3):267–297Google Scholar
  10. Cardone D, Perrone G, Sofia S (2013) Experimental and numerical studies on the cyclic behavior of R/C hollow bridge piers with corroded rebars. Earthq Struct 4(1):41–62Google Scholar
  11. Cassese P (2017) Seismic performance of existing hollow reinforced concrete bridge columns. Ph.D. Dissertation. Department of Structures for Engineering and Architecture, University of Naples Federico IIGoogle Scholar
  12. Cassese P, Ricci P, Verderame GM (2017) Experimental study on the seismic performance of existing reinforced concrete bridge piers with hollow rectangular section. Eng Struct 144:88–106Google Scholar
  13. CEB-FIB Model (2010) CEB-FIB Model Code 2010—final draft, Thomas Thelford, Lausanne, SwitzerlandGoogle Scholar
  14. CEN (2004) European standard EN 1992-1-1:2004 Eurocode 2: design of concrete structures, Part 1-1: general rules and rules for buildings. Comite Europeen de Normalisation, BrusellsGoogle Scholar
  15. Chang G, Mander J (1994) Seismic energy based fatigue damage analysis of bridge columns: part I—evaluation of seismic capacity. NCEER technical report 94-0006Google Scholar
  16. Collins MP, Kuchma D (1999) How safe are our large, lightly reinforced concrete beams, slabs, and footings? ACI Struct J 96(4):482–490Google Scholar
  17. De Risi R, Di Sarno L, Paolacci F (2017) Probabilistic seismic performance assessment of an existing RC bridge with portal-frame piers designed for gravity loads only. Eng Struct 145:348–367Google Scholar
  18. Delgado P (2009) Avaliação da Segurança Estrutural em Pontes. Ph.D. Dissertation. FEUP, PortoGoogle Scholar
  19. Delgado R, Delgado P, Pouca NV, Arêde V, Rocha P, Costa A (2009) Shear effects on hollow section piers under seismic actions: experimental and numerical analysis. Bull Earthq Eng 7(2):377–389Google Scholar
  20. Delgado P, Monteiro A, Arêde A, Vila Pouca N, Delgado R, Costa A (2011) Numerical simulations of RC hollow piers under horizontal cyclic loading. J Earthq Eng 15(6):833–849Google Scholar
  21. Delgado P, Monteiro A, Arêde A, Pouca NV, Costa A, Delgado R (2012) Non linear shear effects on the cyclic behaviour of RC hollow piers. In: Oechsner A, da Silva LF, Altenbach H (eds) Materials with complex behaviour II. Springer, Berlin, pp 537–547Google Scholar
  22. Dhakal RP, Maekawa K (2002) Modeling for postyield buckling of reinforcement. J Struct Eng 128(9):1139–1147Google Scholar
  23. Eligehausen R, Popov EP, Bertero VV (1983) Local bond stress–slip relationship of a deformed bar under generalized excitations. Report No. UCB/EERC 83/23, University of California-Berkeley, Berkeley, CAGoogle Scholar
  24. Elnashai AS, Bommer JJ, Baron I, Salama AI, Lee D (1995) Selected engineering seismology and structural engineering studies of the Hyogo-ken Nanbu (Kobe, Japan) earthquake of 17 January 1995. Engineering Seismology and Earthquake Engineering, Report No. ESEE/95-2, Imperial College, LondonGoogle Scholar
  25. Elwood KJ (2004) Modelling failures in existing reinforced concrete columns. Can J Civ Eng 31(5):846–859Google Scholar
  26. Elwood JK, Moehle JP (2003) Shake table tests and analytical studies on the gravity load collapse of reinforced concrete frames. PEER Report 2003/01, Pacific Earthquake Engineering Research Center, University of California, Berkeley, CaliforniaGoogle Scholar
  27. Elwood KJ, Moehle JP (2005) Drift capacity of reinforced concrete columns with light transverse reinforcement. Earthq Spectra 21(1):71–89Google Scholar
  28. Fardis MN (2009) Seismic design, assessment and retrofitting of concrete buildings: based on EN-Eurocode 8, vol 8. Springer, BerlinGoogle Scholar
  29. Kawashima K, Unjoh S, Hoshikuma J, Kosa K (2010) Damage of bridges due to the 2010 Maule, Chile Earthquake. J Earthq Eng 15(7):1036–1068Google Scholar
  30. Kim IH, Sun CH, Shin M (2012) Concrete contribution to initial shear strength of RC hollow bridge columns. Struct Eng Mech 41(1):43–65Google Scholar
  31. Kowalsky MJ, Priestley MJN (2000) Improved analytical model for shear strength of circular reinforced concrete columns in seismic regions. ACI Struct J 97(3):388–396Google Scholar
  32. Krolicki J, Maffei J, Calvi GM (2011) Shear strength of reinforced concrete walls subjected to cyclic loading. J Earthq Eng 15(S1):30–71Google Scholar
  33. Lynn AC, Moehle JP, Mahin SA, Holmes WT (1996) Seismic evaluation of existing reinforced concrete building columns. Earthq Spectra 12(4):715–739Google Scholar
  34. McKenna F, Fenves GL, Scott MH (2000) Open system for earthquake engineering simulation. http://opensees.berkeley.edu. Accessed 2018
  35. Mergos PE, Kappos AJ (2008) A distributed shear and flexural flexibility model with shear–flexure interaction for R/C members subjected to seismic loading. Earthq Eng Struct Dyn 37(12):1349–1370Google Scholar
  36. Mergos PE, Kappos AJ (2010) Seismic damage analysis including inelastic shear–flexure interaction. Bull Earthq Eng 8(1):27Google Scholar
  37. Mergos PE, Kappos AJ (2012) A gradual spread inelasticity model for R/C beam–columns, accounting for flexure, shear and anchorage slip. Eng Struct 44:94–106Google Scholar
  38. Miranda PH, Calvi GM, Pinho R, Priestley MJN (2005) Displacement-based assessment of RC columns with limited shear resistance, ROSE Research Report No. 2005/04, IUSS Press, Pavia, ItalyGoogle Scholar
  39. Mo YL, Nien IC (2002) Seismic performance of hollow high-strength concrete bridge columns. J Bridge Eng 7(6):338–349Google Scholar
  40. Mo YL, Wong DC, Maekawa K (2003) Seismic performance of hollow bridge columns. Struct J 100(3):337–348Google Scholar
  41. Mo YL, Yeh YK, Hsieh DM (2004) Seismic retrofit of hollow rectangular bridge columns. J Compos Constr 8(1):43–51Google Scholar
  42. Park R, Paulay T (1975) Reinforced concrete structures. Wiley, New YorkGoogle Scholar
  43. Pinto AV, Molina J, Tsionis G (2003) Cyclic tests on large-scale models of existing bridge piers with rectangular hollow cross-section. Earthq Eng Struct Dyn 32(13):1995–2012Google Scholar
  44. Popovics S (1973) A numerical approach to the complete stress strain curve for concrete. Cem Concr Res 3(5):583–599Google Scholar
  45. Priestley MJN, Park R (1987) Strength and ductility of concrete bridge columns under seismic loading. ACI Struct J 84(1):61–76Google Scholar
  46. Priestley MJN, Seible F, Xiao Y (1994) Steel jacket retrofitting of reinforced concrete bridge columns for enhanced shear strength-part 2: test results and comparison with theory. Struct J 91(5):537–551Google Scholar
  47. Priestley MJN, Seible F, Calvi GM (1996) Seismic design and retrofit of bridges. Wiley, New YorkGoogle Scholar
  48. Priestley MJN, Calvi GM, Kowalsky MJ (2007) Displacement-based seismic design of structures. IUSS Press, PaviaGoogle Scholar
  49. Pujol S, Ramfrez JA, Sozen MA (1999) Drift capacity of reinforced concrete columns subjected to cyclic shear reversals. In: Seismic response of concrete bridges, SP-187. American Concrete Institute, Farmington Hills, pp 255–274Google Scholar
  50. Scawthorn C (2000) The Marmara Turkey earthquake of August 17, 1999, reconnaissance report, MCEER technical report MCEER-00-0001, Buffalo, NYGoogle Scholar
  51. Setzler EJ (2005) Modeling the behavior of lightly reinforced concrete columns subjected to lateral loads. Ohio State University, ColumbusGoogle Scholar
  52. Setzler EJ, Sezen H (2008) Model for the lateral behavior of reinforced concrete columns including shear deformations. Earthq Spectra 24(2):493–511Google Scholar
  53. Sezen H (2002) Seismic response and modelling of lightly reinforced concrete building columns. Ph.D. dissertation, Department of Civil and Environmental Engineering, University of California, BerkeleyGoogle Scholar
  54. Sezen H (2008) Shear deformation model for reinforced concrete columns. Struct Eng Mech 28(1):39–52Google Scholar
  55. Sezen H, Chowdhury T (2009) Hysteretic model for reinforced concrete columns including the effect of shear and axial load failure. J Struct Eng ASCE 135(2):139–146Google Scholar
  56. Sezen H, Mohele JP (2004) Shear strength model for lightly reinforced concrete columns. ASCE J Struct Eng 130(11):1692–1703Google Scholar
  57. Sezen H, Setzler EJ (2008) Reinforcement slip in reinforced concrete columns. ACI Struct J 105(3):280–289Google Scholar
  58. STRIT RT D.1.2-part 1 (2015) Inventory e sviluppo database per la caratterizzazione della vulnerabilità delle infrastrutture viarie. STRIT Project PON Ricerca e Competitività 2007–2013Google Scholar
  59. Turmo J, Ramos G, Aparicio AC (2009) Shear truss analogy for concrete members of solid and hollow circular cross section. Eng Struct 31(2):455–465Google Scholar
  60. Xiao Y, Ma R (1997) Seismic retrofit of RC circular columns using prefabricated composite jacketing. J Struct Eng 123(10):1357–1364Google Scholar
  61. Yeh YK, Mo YL, Yang CY (2002a) Full-scale tests on rectangular hollow bridge piers. Mater Struct 35(2):117–125Google Scholar
  62. Yeh YK, Mo YL, Yang CY (2002b) Seismic performance of rectangular hollow bridge columns. J Struct Eng 128(1):60–68Google Scholar
  63. Zhang Y, Han S (2017) Hysteretic Model for flexure-shear critical reinforced concrete columns. J Earthq Eng.  https://doi.org/10.1080/13632469.2017.1297267 Google Scholar
  64. Zhang Q, Gong JX, Zhang YQ (2013) Lateral-load behavior prediction and pushover analysis of reinforced concrete columns including shear effects. Adv Struct Eng 16(4):741–758Google Scholar
  65. Zhang Q, Gong JX, Ma Y (2014) Study on lateral load-deformation relations of flexural-shear failure columns under monotonic and cyclic loading. J Build Struct 35(3):138–148Google Scholar
  66. Zhu L, Elwood KJ, Haukaas T (2007) Classification and seismic safety evaluation of existing reinforced concrete columns. J Struct Eng 133(9):1316–1330Google Scholar
  67. Zimos (2017) Modelling the post-peak response of existing reinforced concrete frame structures subjected to seismic loading. Ph.D. thesis, City, University of London, United KingdomGoogle Scholar
  68. Zimos DK, Mergos PE, Kappos AJ (2018a) Modelling of R/C members accounting for shear failure localisation: finite element model and verification. Earthq Eng Struct Dyn 47(7):1631–1650Google Scholar
  69. Zimos DK, Mergos PE, Kappos AJ (2018b) Modelling of R/C members accounting for shear failure localisation: hysteretic shear model. Earthq Eng Struct Dyn 47(8):1722–1741Google Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of Structures for Engineering and ArchitectureUniversity of Naples Federico IINaplesItaly

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