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Seismic Vulnerability Assessment: Reinforced Concrete Structures

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Synonyms

Axial load failure; Damage measure; Flexure; Nonlinear modeling; PBEE; RC structures; Shear

Introduction

Seismic vulnerability can be defined as the degree of loss to a given element at risk (e.g., buildings) resulting from the occurrence of an earthquake event (Coburn and Spence 2002). The development of methodologies for seismic vulnerability assessment is an essential tool for seismic risk management and for prioritizing pre-earthquake strengthening of the built environment.

Seismic risk can be approached through different methodologies. Most of them aim to deconstruct the problem into the typical elements defining any kind of risk: (i) hazard, (ii) vulnerability, and (iii) exposure, and they are based on the total probability theorem.

Available seismic vulnerability methods, i.e., empirical, analytical, or hybrid (e.g., Calvi et al. 2006), developed in the last 30 years, differ because of the nature of tools and data employed. In the following only analytical approach to...

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References

  • ACI 352R-02 (2002) Recommendations for design of beam-column connections in monolithic reinforced concrete structures. American Concrete Institute, Farmington Hills

    Google Scholar 

  • Alath S, Kunnath SK (1995) Modeling inelastic shear deformations in rc beam-column joints. In: Engineering mechanics proceedings of 10th conference, University of Colorado at Boulder, Boulder, 21–24 May, vol 2. ASCE, New York, pp 822–825

    Google Scholar 

  • Alire DA (2002) Seismic evaluation of existing unconfined RC beam–column joints. MSc thesis, University of Washington

    Google Scholar 

  • Altoontash A (2004) Simulation and damage models for performance assessment of reinforced concrete beam-column joints. PhD dissertation, Department of Civil and Environment Engineering, Stanford University, Stanford

    Google Scholar 

  • American Society of Civil Engineers (ASCE) (2007) Seismic rehabilitation of existing buildings, ASCE/SEI 41-06. American Society of Civil Engineers, Reston, VA

    Google Scholar 

  • Anderson M, Lehman D, Stanton J (2008) A cyclic shear stress-strain model for joints without transverse reinforcement. Eng Struct 30:941–954

    Article  Google Scholar 

  • ATC Applied Technology Council (1985) ATC-13, earthquake damage evaluation data for California. Applied Technology Council, Redwood City, CA, pp 492

    Google Scholar 

  • Aschheim AM, Moehle JP (1992) Shear strength and deformability of RC bridge columns subjected to inelastic displacements. Technical Report No UCB/EERC 92/04, University of California at Berkeley, Berkeley

    Google Scholar 

  • Aslani H (2005) Probabilistic earthquake loss estimation and loss disaggregation in buildings. PhD thesis, Stanford University

    Google Scholar 

  • Asteris PG, Kakaletsis DJ, Chrysostomou CZ, Smyrou EE (2011) Failure modes in infilled frames. Electron J Struct Eng 11(1):11–20

    Google Scholar 

  • Bakir PG, Boduroğlu HM (2002) A new design equation for predicting the joint shear strength of monotonically loaded exterior beam-column joints. Eng Struct 24:1105–1117

    Article  Google Scholar 

  • Beck JL, Porter KA, Shaikhutdinov R, Au SK, Moroi T, Tsukada Y, Masuda M (2002) Impact of seismic risk on lifetime property values, final report for CUREE-Kajima phase IV project. Consortium of Universities for Research in Earthquake Engineering, Richmond

    Google Scholar 

  • Berry M, Parrish M, Eberhard M (2004) PEER structural performance database user’s manual. Pacific Engineering Research Center, University of California, Berkeley, 38 pp. Available at http://nisee.berkeley.edu/spd/ and http://maximus.ce.washington.edu/~peera1/. Accessed 23 Feb 2014

  • Bertoldi SH, Decanini LD, Gavarini C (1993) Telai tamponati soggetti ad azioni sismiche, un modello semplificato: confronto sperimentale e numerico. In: Proceeding of 6° Convegno Nazionale ANIDIS, vol 2, 13–15 Perugia, Italy, 815–824 (in Italian)

    Google Scholar 

  • Biddah A, Ghobarah A (1999) Modelling of shear deformation and bond slip in reinforced concrete joints. Struct Eng Mech 7(4):413–432

    Article  Google Scholar 

  • Biskinis D, Fardis MN (2010a) Deformations at flexural yielding of members with continuous or lap-spliced bars. Struct Concr 11(3):127–138

    Google Scholar 

  • Biskinis D, Fardis MN (2010b) Flexure-controlled ultimate deformations of members with continuous or lap-spliced bars. Struct Concr 11(2):93–108

    Article  Google Scholar 

  • Biskinis DE, Roupakias GK, Fardis MN (2004) Degradation of shear strength of reinforced concrete members with inelastic cyclic displacement. ACI Struct J 101(6):773–783

    Google Scholar 

  • Bousias SN (1993) Experimental and analytical study of RC columns in cyclic biaxial bending with axial force. Doctoral thesis, Civil Engineering Department, University of Patras, Patras

    Google Scholar 

  • Bousias SN, Panagiotakos TB, Fardis MN (2002) Modelling of RC members under cyclic biaxial flexure and axial force. J Earthq Eng 6(3):213–238

    Google Scholar 

  • Calvi GM, Bolognini D, Penna A (2004) Seismic performance of masonry-infilled RC frames–benefits of slight reinforcements. Invited lecture to “Sísmica 2004 – 6° Congresso Nacional de Sismologia e Engenharia Sísmica”, Guimarães, 14–16 Apr

    Google Scholar 

  • Calvi GM, Pinho R, Magenes G, Bommer JJ, Restrepo-Vélez LF, Crowley H (2006) Development of seismic vulnerability assessment methodologies over the past 30 years. ISET J Earthq Technol Paper No 472 43(3):75–104

    Google Scholar 

  • CEB (1996) RC frames under cyclic loading. T. Telford, London, for Comite Euro-international du beton, Lausanne

    Google Scholar 

  • Celik OC, Ellingwood BR (2008) Modeling beam–column joints in fragility assessment of gravity load designed reinforced concrete frames. J Earthq Eng 12(3):357–381

    Article  Google Scholar 

  • CEN (2004) 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

    Google Scholar 

  • CEN (2005) Eurocode 8: design of structures for earthquake resistance – part 3: assessment and retrofitting of buildings. European Standard EN 1998-1:2005- Comité Européen de Normaliation, Brussels

    Google Scholar 

  • Chrysostomou CZ, Asteris PG (2012) On the in-pane properties and capacities of infilled frames. Eng Struct 41:385–402

    Article  Google Scholar 

  • CM 617 (2009) Istruzioni per l’applicazione delle nuove norme tecniche per le costruzioni. Ministero delle Infrastrutture e dei Trasporti, Rome (in Italian)

    Google Scholar 

  • Coburn A, Spence R (2002) Earthquake protection, 2nd edn. Wiley, Chichester

    Book  Google Scholar 

  • Colangelo F (2003) Experimental evaluation of member-by-member models and damage indices for infilled frames. J Earthq Eng 7(1):25–50

    Google Scholar 

  • Colangelo F (2013) Drift-sensitive non-structural damage to masonry infilled reinforced concrete frames designed to Eurocode 8. Bull Earthq Eng. doi:10.1007/s10518-013-9503-y

    Google Scholar 

  • Cornell A, Krawinkler H (2000) Progress and challenges in seismic performance assessment. PEER News, Apr

    Google Scholar 

  • Crisafulli FG (1997) Seismic behaviour of reinforced concrete structures with masonry infills. PhD thesis, University of Canterbury, Christchurch

    Google Scholar 

  • De Luca F, Verderame GM (2013) A practice-oriented approach for the assessment of brittle failures in existing RC elements. Eng Struct 48:373–388

    Article  Google Scholar 

  • De Luca F, Ameri G, Iervolino I, Bindi D (2014a) Toward validation of simulated accelerograms via prediction equations for nonlinear SDOF response. Boll Geofis Teor Appl 55(1):81–101

    Google Scholar 

  • De Luca F, Verderame GM, Gómez-Martínez F, Pérez-García A (2014b) The structural role played by masonry infills on RC building performances after the 2011 Lorca, Spain, earthquake. Bull Earthq Eng 12(5):1999–2026

    Article  Google Scholar 

  • Deierlein GG, Krawinkler H, Cornell CA (2003) A framework for performance-based earthquake engineering. In: Proceedings of 2003 pacific earthquake conference on earthquake engineering, University of Canterbury, Christchurch

    Google Scholar 

  • Deierlein GG, Reinhorn AM, Willford MR (2010) Nonlinear structural analysis for seismic design, NEHRP Seismic Design Technical Brief No. 4, produced by the NEHRP Consultants Joint Venture, a partnership of the Applied Technology Council and the Consortium of Universities for Research in Earthquake Engineering, for the National Institute of Standards and Technology, Gaithersburg, NIST GCR 10-917-5

    Google Scholar 

  • Di Ludovico M, Verderame G, Prota A, Manfredi G, Cosenza E (2013) Experimental behavior of nonconforming RC columns with plain bars under constant axial load and biaxial bending. J Struct Eng 139(6):897–914

    Article  Google Scholar 

  • DM 14/1/2008(2008) Norme tecniche per le costruzioni. Ministero delle Infrastrutture e dei Trasporti, Rome (in Italian)

    Google Scholar 

  • Dolšek M, Fajfar P (2001) Soft storey effects in uniformly infilled reinforced concrete frames. J Earthq Eng 5(1):1–12

    Google Scholar 

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

    Article  Google Scholar 

  • Elwood KJ, Eberhard M (2009) Effective stiffness of reinforced concrete columns. ACI Struct J 106(4):476–484

    Google Scholar 

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

    Article  Google Scholar 

  • Elwood K, Moehle JP (2005b) Axial capacity model for shear-damaged columns. ACI Struct J 106(S45):578–587

    Google Scholar 

  • Elwood KJ, Matamoros AB, Wallace JW, Lehman DE, Heintz JA, Mitchell AD, Moore MA, Valley MT, Lowes LN, Comartin CD, Moehle JP (2007) Update to ASCE/SEI 41 concrete provisions. Earthq Spectra 23(3):493–523

    Article  Google Scholar 

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

    Book  Google Scholar 

  • Fardis MN, Panagiotakos TB (1997) Seismic design and response of bare and infilled reinforced concrete buildings – part II: infilled structures. J Earthq Eng 1(3):473–503

    Google Scholar 

  • Fardis MN et al (1992) Damage measures and failure criteria during seismic response. In: Cooperative research program on the seismic response of reinforced concrete structures. First phase, Final report, II, National Laboratory for Civil Engineering, Lisbon

    Google Scholar 

  • Federal Emergency Management Agency (FEMA) (1997) FEMA 273, guidelines for the seismic rehabilitation. Federal Emergency Management Agency, Washington, DC

    Google Scholar 

  • Federal Emergency Management Agency (FEMA) (2000) FEMA 356, prestandard and commentary for the seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington, DC

    Google Scholar 

  • Fédération internationale du béton (FIB). Task Group 7.1 (2003) Seismic assessment and retrofit of reinforced concrete buildings: state-of-art report (vol 24). International Federation for Structural Concrete (ed). FIB-Féd. Int. du Béton

    Google Scholar 

  • Federal Emergency Management Agency (FEMA) P-58-1 (2012) Seismic performance assessment of buildings volume 1 – 558 methodology. Federal Emergency Management Agency, Washington, DC

    Google Scholar 

  • Goulet CA, Haselton CB, Mitrani-Reiser J, Beck JL, Deierlein GG, Porter KA, Stewart JP (2007) Evaluation of the seismic performance of a code-conforming reinforced-concrete frame building – from seismic hazard to collapse safety and economic losses. Earthq Eng Struct Dyn 36(13):1973–1997

    Article  Google Scholar 

  • Grunthal G (ed) (1998) European Macroseismic Scale 1998 (EMS-98), Cahiers du Centre Européen de Géodynamique et de Séismologie, 15, Luxembourg

    Google Scholar 

  • Gu X, Lu Y (2005) A fuzzy–random analysis model for seismic performance of framed structures incorporating structural and non-structural damage. Earthq Eng Struct Dyn 34(10):1305–1321

    Article  Google Scholar 

  • Hakuto S, Park R, Tanaka H (2000) Seismic load tests on interior and exterior beam-column joints with substandard reinforcing details. ACI Struct J 97(1):11–25

    Google Scholar 

  • Haselton CB, Liel AB, Taylor Lange S, Deierlein GG (2008) Beam-column element model calibrated for predicting flexural response leading to global collapse of RC frame buildings, PEER report 2007/03

    Google Scholar 

  • Hassan WM (2011) Analytical and experimental assessment of seismic vulnerability of beam-column joints without transverse reinforcement in concrete buildings. PhD dissertation, University of California, Berkeley

    Google Scholar 

  • Hwang S, Lee H (1999) Analytical model for predicting shear strengths of exterior reinforced concrete beam-column joints for seismic resistance. ACI Struct J 96(5):846–858

    Google Scholar 

  • Ibarra LF, Medina RA, Krawinkler H (2005) Hysteretic models that incorporate strength and stiffness deterioration. Earthq Eng Struct Dyn 34:1489–1511

    Article  Google Scholar 

  • Kim J, LaFave JM (2007) Key influence parameters for the joint shear behavior of reinforced concrete (RC) beam-column connections. Eng Struct 29:2523–2539

    Article  Google Scholar 

  • Krawinkler H (2002) A general approach to seismic performance assessment. In: Proceedings of international conference on advances and new challenges in earthquake engineering research, ICANCEER, Hong Kong, 19–20 Aug

    Google Scholar 

  • Krawinkler H, Miranda E (2004) Performance-based earthquake engineering, chapter 9. In: Bozorgnia Y, Bertero VV (eds) Earthquake engineering: from engineering seismology to performance-based engineering. CRC Press, Boca Raton

    Google Scholar 

  • LaFave M, Shin M (2005) Discussion of ‘Modeling reinforced-concrete beam-column joints subjected to cyclic loading’, by Lowes, L. N. and Altoontash, A. ASCE J Struct Eng 131(6):992–993

    Article  Google Scholar 

  • Legeron F, Paultre P (2000) Behavior of high-strength concrete columns under cyclic flexure and constant axial load. ACI Struct J 97(4):591–601

    Google Scholar 

  • Lowes LN, Altoontash A (2003) Modeling reinforced-concrete beam-column joints subjected to cyclic loading. ASCE J Struct Eng 129(12):1686–1697

    Article  Google Scholar 

  • Manfredi G, Prota A, Verderame GM, Ricci P, De Luca F (2014) 2012 Emilia earthquake, Italy: reinforced concrete buildings response. Bull Earthq Eng 12(5):2275–2298

    Article  Google Scholar 

  • McGuire RK (2004) Seismic hazard and risk analysis. Report MNO-10. Earthquake Engineering Research Institute Publication, Oakland

    Google Scholar 

  • Mehrabi AB, Shing PB, Schuller MP, Noland JL (1996) Experimental evaluation of masonry-infilled RC frames. J Struct Eng ASCE 122(3):228–237

    Article  Google Scholar 

  • Mitrani-Reiser J (2007) An ounce of prevention: probabilistic loss estimation for performance-based earthquake engineering. PhD dissertation, California Institute of Technology (Caltech), Pasadena

    Google Scholar 

  • Moehle JP (2003) A framework for performance-based earthquake engineering. In: Proceedings of ATC-15-9 workshop on the improvement of building structural design and construction practices, Maui, June

    Google Scholar 

  • Moehle JP, Deierlein GG (2004) A framework for performance-based earthquake engineering. In: Proceedings of 13th world conference on earthquake engineering, Paper No 679, Vancouver

    Google Scholar 

  • Mosalam KM (1996) Experimental and computational strategies for the seismic behavior evaluation of frames with infill walls. PhD dissertations, Cornell University, Ithaca

    Google Scholar 

  • National Institute of Building Science (NIBS) (1997, 1999 and 2002) Earthquake loss estimation methodology. HAZUS. Technical manuals, vols 1, 2, 3. Federal Emergency Management Agency (FEMA), Washington, DC. http://www.fema.gov/hazus/

  • Özcebe S, Crowley H, Bal IE (2012) Distinction between no and slight damage states for existing RC buildings using a displacement-based approach. In: Proceedings of the 15th world conference on earthquake engineering, paper 5126, 24–28, Lisbon, Portugal

    Google Scholar 

  • Panagiotakos TB, Fardis MN (2001) Deformations of RC members at yielding and ultimate. ACI Struct J 98(2):135–148

    Google Scholar 

  • Pantelides CP, Hansen J, Nadauld J, Reaveley LD (2002) Assessment of reinforced concrete building exterior joints with substandard details, PEER 2002/18, May 2002

    Google Scholar 

  • Park R (2002) A summary of results of simulated seismic load tests on RC beam–column joints, beam and columns with substandard reinforcing details. J Earthq Eng 6(2):147–174

    Google Scholar 

  • Park YJ, Ang AMS (1985) Mechanistic seismic damage model of reinforced concrete. ASCE J Struct Eng 111:722–739

    Article  Google Scholar 

  • Park S, Mosalam KM (2012) Parameters for shear strength prediction of exterior beam–column joints without transverse reinforcement. Eng Struct 36:198–209

    Article  Google Scholar 

  • Park S, Mosalam KM (2013) Experimental investigation of nonductile RC corner beam-column joints with floor slabs. ASCE J Struct Eng 139(1):1–14

    Article  Google Scholar 

  • Porter KA (2003) An overview of PEER’s performance-based earthquake engineering methodology. In: Conference on Applications of Statistics and Probability in Civil Engineering (ICASP9), Civil Engineering Risk and Reliability Association (CERRA), San Francisco, 6–9 July

    Google Scholar 

  • Priestley MJN, Verma R, Xiao Y (1994) Seismic shear strength of reinforced concrete columns. J Struct Eng 120(8):2310–2329

    Article  Google Scholar 

  • Pujol S (2002) Drift capacity of reinforced concrete columns subjected to displacement reversals. PhD thesis, Purdue University

    Google Scholar 

  • Ricci P, De Luca F, Verderame GM (2011) 6th April 2009 L’Aquila earthquake, Italy: reinforced concrete building performance. Bull Earthq Eng 9(1):285–305

    Article  Google Scholar 

  • Ricci P, Verderame G, Manfredi G (2013) ASCE/SEI 41 provisions on deformation capacity of older-type reinforced concrete columns with plain bars. ASCE J Struct Eng 139(12):04013014

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Shin M, LaFave JM (2004) Testing and modeling for cyclic joint shear deformations in rc beam-column connections. In: Proceedings of the thirteenth world conference on earthquake engineering, Vancouver, 1–6 Aug 2004, Paper No 0301

    Google Scholar 

  • Shing PB, Mehrabi AB (2002) Behaviour and analysis of masonry-infilled frames. Prog Struct Eng Mater 4:320–331

    Article  Google Scholar 

  • Tothong P, Cornell CA (2006) An empirical ground motion attenuation relation for inelastic spectral displacement. Bull Seismol Soc Am 96:2146–2164

    Article  Google Scholar 

  • Tothong P, Luco N (2007) Probabilistic seismic demand analysis using advanced ground motion intensity measures. Earthq Eng Struct Dyn 36:1837–1860

    Article  Google Scholar 

  • Vecchio FJ, Collins MP (1986) The modified compression-field theory of reinforced concrete elements subjected to shear. ACI Struct J 83(2):219–231

    Google Scholar 

  • Verderame GM, Ricci P, Manfredi G, Cosenza E (2010) Ultimate chord rotation of RC columns with smooth bars: some considerations about EC8 prescriptions. Bull Earthq Eng 8(6):1351–1373

    Article  Google Scholar 

  • Verderame GM, De Luca F, Ricci P, Manfredi G (2011) Preliminary analysis of a soft-storey mechanism after the 2009 L’Aquila earthquake. Earthq Eng Struct Dyn 40(8):925–944

    Article  Google Scholar 

  • Vollum RL (1998) Design and analysis of exterior beam column connections. PhD dissertation, Imperial College of Science Technology and Medicine-University of London

    Google Scholar 

  • Vollum RL, Newman JB (1999) Strut and tie models for the analysis/design of external beam-column joints. Mag Concr Res 51(6):415–425

    Article  Google Scholar 

  • Walker SG (2001) Seismic performance of existing RC beam–column joints. MSc thesis, University of Washington

    Google Scholar 

  • Watanabe F, Ichinose T (1992) Strength and ductility of RC members subjected to combined bending and shear. In: Concrete shear in earthquake. Elsevier Applied Science, New York, pp 429–438

    Google Scholar 

  • Williams MS, Sexsmith RG (1997) Seismic assessment of concrete bridges using inelastic damage analysis. Eng Struct 19(3):208–216

    Article  Google Scholar 

  • Wong HF (2005) Shear strength and seismic performance of non-seismically designed reinforced concrete beam-column joints. PhD dissertation, Department of Civil Engineering, The Hong Kong University of Science and Technology, August

    Google Scholar 

  • Yavari S, Elwood KJ, Wu C (2009) Collapse of a nonductile concrete frame: evaluation of analytical models. Earthq Eng Struct Dyn 38(2):225–241

    Article  Google Scholar 

  • Youssef M, Ghobarah A (2001) Modelling of RC beam-column joints and structural walls. J Earthq Eng 5(1):93–111

    Google Scholar 

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

    Google Scholar 

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De Luca, F., Verderame, G.M. (2015). Seismic Vulnerability Assessment: Reinforced Concrete Structures. In: Beer, M., Kougioumtzoglou, I.A., Patelli, E., Au, SK. (eds) Encyclopedia of Earthquake Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35344-4_252

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