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

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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.

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References

  • ACI Committee 318 (1995) Building code requirement for structural concrete and commentary. American Concrete Institute, Farmington Hills

    Google Scholar 

  • ACI-ASCE Committee 326 (1962) Shear and diagonal tension. ACI J 59: 1–30, 277–334, 352–396

  • 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, Berkeley

  • Aslani H, Miranda E (2005) Probabilistic earthquake loss estimation and loss disaggregation in buildings. Doctoral Dissertation, Stanford University

  • Baradaran Shoraka M, Elwood KJ (2013) Mechanical model for non-ductile reinforced concrete columns. J Earthq Eng 17(7):937–957

    Article  Google Scholar 

  • Biskinis D, Fardis MN (2007) Effect of lap splices on flexural resistance and cyclic deformation capacity of RC members. Beton-und Stahlbetonbau 102(S1):51–59

    Article  Google Scholar 

  • 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):773–783

    Google Scholar 

  • 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, London

  • 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):267–297

    Article  Google Scholar 

  • 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):41–62

    Article  Google Scholar 

  • 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 II

  • 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 144:88–106

    Article  Google Scholar 

  • CEB-FIB Model (2010) CEB-FIB Model Code 2010—final draft, Thomas Thelford, Lausanne, Switzerland

  • 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, Brusells

    Google Scholar 

  • Chang G, Mander J (1994) Seismic energy based fatigue damage analysis of bridge columns: part I—evaluation of seismic capacity. NCEER technical report 94-0006

  • Collins MP, Kuchma D (1999) How safe are our large, lightly reinforced concrete beams, slabs, and footings? ACI Struct J 96(4):482–490

    Google Scholar 

  • 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 145:348–367

    Article  Google Scholar 

  • Delgado P (2009) Avaliação da Segurança Estrutural em Pontes. Ph.D. Dissertation. FEUP, Porto

  • 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):377–389

    Article  Google Scholar 

  • 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):833–849

    Article  Google Scholar 

  • 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 537–547

    Chapter  Google Scholar 

  • Dhakal RP, Maekawa K (2002) Modeling for postyield buckling of reinforcement. J Struct Eng 128(9):1139–1147

    Article  Google Scholar 

  • 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, CA

  • 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, London

  • Elwood KJ (2004) Modelling failures in existing reinforced concrete columns. Can J Civ Eng 31(5):846–859

    Article  Google Scholar 

  • 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, California

  • Elwood KJ, Moehle JP (2005) Drift capacity of reinforced concrete columns with light transverse reinforcement. Earthq Spectra 21(1):71–89

    Article  Google Scholar 

  • Fardis MN (2009) Seismic design, assessment and retrofitting of concrete buildings: based on EN-Eurocode 8, vol 8. Springer, Berlin

    Book  Google Scholar 

  • Kawashima K, Unjoh S, Hoshikuma J, Kosa K (2010) Damage of bridges due to the 2010 Maule, Chile Earthquake. J Earthq Eng 15(7):1036–1068

    Article  Google Scholar 

  • Kim IH, Sun CH, Shin M (2012) Concrete contribution to initial shear strength of RC hollow bridge columns. Struct Eng Mech 41(1):43–65

    Article  Google Scholar 

  • Kowalsky MJ, Priestley MJN (2000) Improved analytical model for shear strength of circular reinforced concrete columns in seismic regions. ACI Struct J 97(3):388–396

    Google Scholar 

  • Krolicki J, Maffei J, Calvi GM (2011) Shear strength of reinforced concrete walls subjected to cyclic loading. J Earthq Eng 15(S1):30–71

    Article  Google Scholar 

  • Lynn AC, Moehle JP, Mahin SA, Holmes WT (1996) Seismic evaluation of existing reinforced concrete building columns. Earthq Spectra 12(4):715–739

    Article  Google Scholar 

  • McKenna F, Fenves GL, Scott MH (2000) Open system for earthquake engineering simulation. http://opensees.berkeley.edu. Accessed 2018

  • 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):1349–1370

    Article  Google Scholar 

  • Mergos PE, Kappos AJ (2010) Seismic damage analysis including inelastic shear–flexure interaction. Bull Earthq Eng 8(1):27

    Article  Google Scholar 

  • Mergos PE, Kappos AJ (2012) A gradual spread inelasticity model for R/C beam–columns, accounting for flexure, shear and anchorage slip. Eng Struct 44:94–106

    Article  Google Scholar 

  • 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, Italy

  • Mo YL, Nien IC (2002) Seismic performance of hollow high-strength concrete bridge columns. J Bridge Eng 7(6):338–349

    Article  Google Scholar 

  • Mo YL, Wong DC, Maekawa K (2003) Seismic performance of hollow bridge columns. Struct J 100(3):337–348

    Google Scholar 

  • Mo YL, Yeh YK, Hsieh DM (2004) Seismic retrofit of hollow rectangular bridge columns. J Compos Constr 8(1):43–51

    Article  Google Scholar 

  • Park R, Paulay T (1975) Reinforced concrete structures. Wiley, New York

    Book  Google Scholar 

  • 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):1995–2012

    Article  Google Scholar 

  • Popovics S (1973) A numerical approach to the complete stress strain curve for concrete. Cem Concr Res 3(5):583–599

    Article  Google Scholar 

  • Priestley MJN, Park R (1987) Strength and ductility of concrete bridge columns under seismic loading. ACI Struct J 84(1):61–76

    Google Scholar 

  • 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):537–551

    Google Scholar 

  • Priestley MJN, Seible F, Calvi GM (1996) Seismic design and retrofit of bridges. Wiley, New York

    Book  Google Scholar 

  • Priestley MJN, Calvi GM, Kowalsky MJ (2007) Displacement-based seismic design of structures. IUSS Press, Pavia

    Google Scholar 

  • 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 255–274

  • Scawthorn C (2000) The Marmara Turkey earthquake of August 17, 1999, reconnaissance report, MCEER technical report MCEER-00-0001, Buffalo, NY

  • Setzler EJ (2005) Modeling the behavior of lightly reinforced concrete columns subjected to lateral loads. Ohio State University, Columbus

    Google Scholar 

  • Setzler EJ, Sezen H (2008) Model for the lateral behavior of reinforced concrete columns including shear deformations. Earthq Spectra 24(2):493–511

    Article  Google Scholar 

  • 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, Berkeley

  • Sezen H (2008) Shear deformation model for reinforced concrete columns. Struct Eng Mech 28(1):39–52

    Article  Google Scholar 

  • 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):139–146

    Article  Google Scholar 

  • Sezen H, Mohele JP (2004) Shear strength model for lightly reinforced concrete columns. ASCE J Struct Eng 130(11):1692–1703

    Article  Google Scholar 

  • Sezen H, Setzler EJ (2008) Reinforcement slip in reinforced concrete columns. ACI Struct J 105(3):280–289

    Google Scholar 

  • 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 2007–2013

  • Turmo J, Ramos G, Aparicio AC (2009) Shear truss analogy for concrete members of solid and hollow circular cross section. Eng Struct 31(2):455–465

    Article  Google Scholar 

  • Xiao Y, Ma R (1997) Seismic retrofit of RC circular columns using prefabricated composite jacketing. J Struct Eng 123(10):1357–1364

    Article  Google Scholar 

  • Yeh YK, Mo YL, Yang CY (2002a) Full-scale tests on rectangular hollow bridge piers. Mater Struct 35(2):117–125

    Article  Google Scholar 

  • Yeh YK, Mo YL, Yang CY (2002b) Seismic performance of rectangular hollow bridge columns. J Struct Eng 128(1):60–68

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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):741–758

    Article  Google Scholar 

  • 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):138–148

    Google Scholar 

  • Zhu L, Elwood KJ, Haukaas T (2007) Classification and seismic safety evaluation of existing reinforced concrete columns. J Struct Eng 133(9):1316–1330

    Article  Google Scholar 

  • 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 Kingdom

  • 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):1631–1650

    Article  Google Scholar 

  • 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):1722–1741

    Article  Google Scholar 

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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.

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  1. Department of Structures for Engineering and Architecture, University of Naples Federico II, via Claudio 21, 80125, Naples, Italy

    Paolino Cassese, Maria Teresa De Risi & Gerardo Mario Verderame

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  1. Paolino Cassese
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  2. Maria Teresa De Risi
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  3. Gerardo Mario Verderame
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Correspondence to Maria Teresa De Risi.

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Cassese, P., De Risi, M. & Verderame, G.M. A modelling approach for existing shear-critical RC bridge piers with hollow rectangular cross section under lateral loads. Bull Earthquake Eng 17, 237–270 (2019). https://doi.org/10.1007/s10518-018-0429-2

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