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Investigation of the characteristics of Portuguese regular moment-frame RC buildings and development of a vulnerability model

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Abstract

A vulnerability model capable of providing the probabilistic distribution of loss ratio for a set of intensity measure levels is a fundamental tool to perform earthquake loss estimation and seismic risk assessment. The aim of the study presented herein is to develop a set of vulnerability functions for 48 reinforced concrete building typologies, categorized based on the date of construction (which has a direct relation with the design code level), number of storeys (height of the building) and seismic zonation (which affects the design of the buildings). An analytical methodology was adopted, in which thousands of nonlinear dynamic analyses were performed on 2D moment resisting frames with masonry infills, using one hundred ground motion records that are compatible, to the extent possible, with the Portuguese tectonic environment. The generation of the structural models was carried out using the probabilistic distribution of a set of geometric and material properties, compiled based on information gathered from a large sample of drawings and technical specifications of typical Portuguese reinforced concrete buildings, located in various regions in the country. Various key aspects in the development of the vulnerability model are investigated herein, such as the selection of the ground motion records, the modelling of the infilled frames, the definition of the damage criterion and the evaluation of dynamic (i.e. period of vibration) and structural (i.e. displacement and base shear capacity) parameters of the frames. A statistical bootstrap method is demonstrated to estimate the variability of the loss ratio at each intensity measure level, allowing the estimation of the mean, as well as 10 and 90 % percentile vulnerability curves.

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References

  • Akkar S, Sucuoglu H, Yakut A (2005) Displacement-based fragility functions for low- and mid-rise ordinary concrete buildings. Earthq Spectra 21(4):901–927

    Article  Google Scholar 

  • Almunia JAS (1993) Evaluación del comportamiento funcional y de la seguridad estructural de puentes existentes de hormigón armado y pretensado. Tesis Doctoral. Escola Técnica Superior D’Enginyers de Camins, Canals I Ponts, Universitat Politècnica de Catalunya, Barcelona, Spain (in Spanish)

  • Antoniou S, Pinho R (2004b) Development and verification of a displacement-based adaptive pushover procedure. J Earthq Eng 8(5):643–661

    Google Scholar 

  • Bal IE, Crowley H, Pinho R, Gulay F (2008) Detailed assessment of structural characteristics of Turkish RC building stock for loss assessment models. Soil Dyn Earthq Eng 28:914–932

    Article  Google Scholar 

  • Bal IE, Crowley H, Pinho R (2010) “Displacement-based earthquake loss assessment: Method development and application to Turkish building stock”, ROSE Research Report 2010/02. IUSS Press, Pavia

    Google Scholar 

  • Bommer JJ, Spence R, Erdik M, Tabuchi S, Aydinoglu N, Booth E, Re DD, Pterken D (2002) Development of an earthquake loss model for Turkish catastrophe insurance. J Seismol 6:431–446

  • Borzi B, Pinho R, Crowley H (2008) Simplified pushover-based vulnerability analysis for large-scale assessment of RC buildings. Eng Struct 30:804–820

    Article  Google Scholar 

  • Calvi GM, Pinho R (2004) LESSLOSS—a European integrated project on risk mitigation for earthquakes and landslides. IUSS Press, Pavia

    Google Scholar 

  • Campos Costa A, Sousa ML, Carvalho A, Coelho E (2009) Evaluation of seismic risk and mitigation strategies for the existing building stock: application of LNECloss to the metropolitan area of Lisbon. Bull Earthq Eng 8:119–134

    Article  Google Scholar 

  • Carvalho EC, Coelho E (2001) Seismic assessment, strengthening and repair of structures, ECOEST2-ICONS report no. 2, European Commission—Training and Mobility of Researchers Programme

  • Carvalho EC, Coelho E, Campos Costa A, Sousa ML, Candeias P (2002) Vulnerability evaluation of residential buildings in Portugal. In: Proceedings of the 12th European conference on earthquake engineering, London, UK

  • Casarotti C, Pinho R (2007) An adaptive capacity spectrum method for assessment of bridges subjected to earthquake action. Bull Earthq Eng 5(3):377–390

    Article  Google Scholar 

  • CEN (2004) Eurocode 2: design of concrete structures. European Committee for Standardization, Brussels, Belgium

  • CEN (2005) Eurocode 8: design of structures for earthquake resistance. European Committee for Standardization, Brussels, Belgium

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

  • Crowley H, Pinho R (2004) Period-height relationship for existing European reinforced concrete buildings. J Earthq Eng 8:893–119

  • Crowley H, Pinho R (2006) Simplified equations for estimating the period of vibration of existing buildings. In: Proceedings of the 1st European conference on earthquake engineering and seismology, Geneva, Switzerland, Paper No. 1122

  • Crowley H, Pinho R, Bommer J (2004) A probabilistic displacement-based vulnerability assessment procedure for earthquake loss estimation. Bull Earthq Eng 2:173–219

    Article  Google Scholar 

  • Crowley H, Colombi M, Silva V (2014) Chapter 4: epistemic uncertainty in fragility functions for European RC buildings. In: SYNER-G: typology definition and fragility functions for physical elements at seismic risk: buildings, lifelines, transportation networks and critical facilities. Ed: Pitilakis, Crowley, Kaynia (in press)

  • Dawe JL, Seah CK (1988) Lateral load resistance of masonry panels in flexible steel frames. In: Proceedings of the 8th international brick and block masonry conference, Dublin, Ireland

  • Di Pasquale G, Goretti A (2001) Vulnerabilità funzionale ed economica degli edifici residenziali colpiti dai recenti eventi sismici italiani. Proceedings of the 10\(^{th}\) national conference “L’ingegneria Sismica in Italia”, Potenza-Matera, Italy

  • Dolšek M, Fajfar P (2008) The effect of masonry infills on the seismic response of a four story reinforced concrete frame—a deterministic assessment. Eng Struct 30(7):1991–2001

    Article  Google Scholar 

  • Enomoto T, Schmitz M, Abeki N, Masaki K, Navarro M, Rocavado V, Sanchez A (2000) Seismic risk assessment using soil dynamics in Caracas, Venezuela. In: Proceedings of the 12th World conference in earthquake engineering, Auckland, New Zealand

  • Erberik MA (2007) Fragility-based assessment of typical mid-rise and low-rise RC buildings in Turkey. Eng Struct 30(5):1360–1374

    Article  Google Scholar 

  • Erberik MA (2008) Fragility-based assessment of typical mid-rise and low-rise RC buildings in Turkey. Eng Struct 30(5): 1360–1374

  • Espinoza F (1999) Determinación de las características dinámicas de estructuras. Ph.D. Thesis, Universidad Politécnica de Catalunya, Barcelona, Spain

  • Fajfar P (1999) Capacity spectrum method based on inelastic demand spectra. Earthq Eng Struct Dyn 28(9):979–993

    Article  Google Scholar 

  • FEMA and NIBS (1999) Earthquake loss estimation methodology—HAZUS 99. Federal Emergency Management Agency and National Institute of Buildings Sciences, Washington, DC, USA

  • FEMA-273 (1997) NEHRP guidelines for the seismic rehabilitation of buildings. Report No. FEMA 273. Federal Emergency Management Agency, Washington, DC, USA

  • FEMA-443 (2003) HAZUS-MH technical manual. Federal Emergency Management Agency, Washington DC, USA

  • Fernandes C, Melo J, Varum H, Costa A (2011) Comparative analysis of the cyclic behavior of beam-column joints with plain and deformed reinforcing bars. IBRACON Struct Mater J 4(1):147–172

  • Freeman S (2004) Review of the development of the capacity spectrum method. ISET J Earthq Technol 41:1–13

    Google Scholar 

  • Giuffrè A, Pinto PE (1970) Il comportamento del cemento armato per sollecitazioni cicliché di forte intensità, Giornale del Génio Civile (in Italian)

  • Hancilar U, Durukal E, Franco G, Deodatis G, Erdik M, Smyth A (2006) Probabilistic vulnerability analysis: an application to a typical school building in Istanbul. In: Proceedings of the 1st European conference on earthquake engineering and seismology, Geneva, Switzerland, Paper No. 889

  • Hashemi A, Mosalam K (2007) Seismic evaluation of reinforced concrete buildings including effects of masonry infill walls. PEER Report 2007/100, Pacific Earthquake Engineering Research Center,University of California, Berkeley, USA

  • Kappos A, Panagopoulos G, Panagiotopoulos C, Penelis G (2006) A hybrid method for the vulnerability assessment of R/C and URM buildings. Bull Earthq Eng 4(4):391–413

    Article  Google Scholar 

  • Kirçil M, Polat Z (2006) Fragility analysis of mid-rise R/C frame buildings. Eng Struct 28(9):1335–1345

    Article  Google Scholar 

  • Kobayashi H, Vidal F, Feriche D, Samano T, Alguacil G (1996) Evaluation of dynamic behaviour of building structures with microtremors for seismic microzonation mapping. In: Proceedings of the 11th world conference in earthquake engineering, Acapulco, México

  • Lagomarsino S, Giovinazzi S (2006) Macroseismic and mechanical models for the vulnerability assessment of current buildings. Bull Earthquake Eng, 4:415–443

  • Lopes L (2012) Dificuldades práticas na avaliação da segurança sísmica de estruturas existentes, MSc Thesis, University of Aveiro, Aveiro, Portugal (in Portuguese)

  • Melo J, Varum H, Rossetto T, Costa A (2012) Experimental response of RC columns built with plain bars under unidirectional cyclic loading. In: Proceedings of the 15th world conference on earthquake engineering, Lisbon, Portugal

  • Mouroux P, Le Brun BT (2006) Presentation of RISK-UE project. Bull Earthq Eng 4:323–339

    Article  Google Scholar 

  • Navarro M, Oliveira CS (2004) Evaluation of dynamic characteristics of reinforced concrete buildings in the City of Lisbon. In: Proceedings of the 4th assembly of the Portuguese–Spanish of geodesy and geophysics, Figueira da Foz, Portugal

  • NZSEE (2006) Assessment and improvement of the structural performance of buildings in earthquakes. New Zealand Society for Earthquake Engineering, Study Group Draft

  • Oliveira CS, Navarro M (2010) Fundamental periods of vibration of RC buildings in Portugal from in-situ experimental and numerical techniques. Bull Earthq Eng 8:609–642

    Article  Google Scholar 

  • Özcebe S (2011) Identification of initial damage states in displacement-based assessment of existing RC buildings. MSc Thesis, ROSE School, Pavia, Italy

  • Papaila A (2011) Seismic fragility curves for reinforced concrete buildings, MSc Thesis, University of Patras, Patras, Greece

  • Peláez Montilla JA, López Casado C (2002) Deaggregation in magnitude, distance, and azimuth in the south and west of the Iberian Peninsula. Bull Seismol Soc Am 92:2177–2185

    Article  Google Scholar 

  • Pipa M (1993) Ductilidade de Elementos de Betão Armado Sujeitos a Acções Cíclicas—Influência das Características Mecânicas das Armaduras. IST/LNEC, Lisbon, Portugal (in Portuguese)

  • Ramirez CM, Miranda E (2012) Significance of residual drifts in building earthquake loss estimation. Earthq Eng Struct Dyn 41:1477–1493

    Article  Google Scholar 

  • RBA (1935) Regulamento para o Emprego de Betão Armado, Decreto-Lei n\(^{\circ }\) 4036, Lisbon, Portugal

  • REBA (1967) Regulamento de Estruturas de Betão Armado, Decreto-Lei n\(^{\circ }\) 47723, Lisbon, Portugal

  • RGEU (2007) Regulamento Geral das Edificações Urbanas, Decreto-Lei n\(^{\circ }\) 38382, Lisbon, Portugal

  • Rodrigues H, Varum H, Costa A (2010) Simplified macro-model for infill masonry panels. J Earthq Eng 14:390–416

    Article  Google Scholar 

  • Rodrigues H, Arêde A, Varum H, Costa AG (2012) Experimental evaluation of rectangular reinforced concrete column behaviour under biaxial cyclic loading. Earthq Eng Struct Dyn. doi:10.1002/eqe.2205

  • Rossetto T, Elnashai A (2003) Derivation of vulnerability functions for European-type RC structures based on observational data. Eng Struct 25(10):1241–1263

    Article  Google Scholar 

  • Rossetto T, Elnashai A (2005) A new analytical procedure for the derivation of displacement-based vulnerability curves for populations of RC structures. Eng Struct 27(3):397–409

    Article  Google Scholar 

  • RSA (1983) Regulamento de Segurança e Acções para Estruturas de Edifícios e Pontes, Decreto-Lei n.\(^{\circ }\)235/83, Lisbon, Portugal

  • RSCCS (1958) Regulamento de Segurança das Construções Contra os Sismos, Decreto-Lei n\(^{\circ }\)41658, Lisbon, Portugal

  • RSEP (1961) Regulamento de Solicitações em Edifício e Pontes, Decreto-Lei n.\(^{\circ }\)44041, Lisbon, Portugal

  • Sattar S, Liel A (2010) Seismic Performance of the Reinforced Concrete Frame Structures with and without Masonry Infill Walls. In: Proceedings of the 9th US national and 10th Canadian conference on earthquake engineering, Toronto, Canada

  • Scott BD, Park R, Priestley MJN (1982) Stress–strain behavior of concrete confined by overlapping hoops at low and high strain rates. ACI J Proc 79(1):13–27

    Google Scholar 

  • Silva V, Crowley H, Pagani M, Modelli D, Pinho R (2013) Development of the OpenQuake engine, the Global Earthquake Model’s open-source software for seismic risk assessment. Nat Hazards. doi:10.1007/s11069-013-0618-x

  • Silva V, Crowley H, Varum H, Pinho R (2014a) Seismic hazard and risk assessment for mainland Portugal. Bull Earthq Eng. doi:10.1007/s10518-014-9630-0

  • Silva V, Crowley H, Pinho R, Varum H, Sousa R (2014b) Evaluation of analytical methodologies to derive vulnerability functions. Earthq Eng Struct Dyn. doi:10.1002/eqe.2337

  • Smyrou E, Blandon-Uribe C, Antoniou S, Pinho R, Crowley H (2006) Implementation and verification of a masonry panel model for nonlinear dynamic analysis of infilled frames. In: Proceedings of the first European conference on earthquake engineering and seismology, Geneva, Switzerland

  • Soares F (2012) Comportamento mecânico de alvenaria. A influência de abertura de roços (in portuguese). MSc Thesis of the University of Aveiro, Aveiro, Portugal

  • Sousa ML, Costa AC (2009) Ground motion scenarios consistent with probabilistic seismic hazard disaggregation analysis. Application to Mainland Portugal. Bull Earthq Eng 7:127–147

    Article  Google Scholar 

  • Spence R (2007) Earthquake disaster scenario prediction and loss modeling for urban areas. LESSLOSS Report—2007/07, IUSS Press, Pavia, Italy

  • Stafford-Smith B, Carter C (1969) A method for the analysis of infilled frames. Proc ICE 44:31–48

    Article  Google Scholar 

  • Uva G, Porco F, Fiore A (2012) Appraisal of masonry infill walls effect in the seismic response of RC framed buildings: a case study. Eng Struct 34:514–526

    Article  Google Scholar 

  • Vamvatsikos D, Cornell AC (2002) Incremental dynamic analysis. Earthq Eng Struct Dyn 31(3):491–514

    Article  Google Scholar 

Web References

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Acknowledgments

The authors are grateful to the various representatives of the public and private institutions that facilitated the access to the drawings and technical specifications of RC buildings. The authors would also like to express their gratitude to Dr. Manuel Pipa, Dr. Hugo Rodrigues, Dr. Catarina Fernandes and José Melo for their valuable contribution in the investigation of the material characteristics and Romain Sousa for the important suggestions in the structural modelling process. Part of this work has been performed within the framework of the research project PTDC/ECM-EST/3062/2012 ‘Earthquake loss of the Portuguese building stock’ funded by the Foundation of Science and Technology (FCT) of Portugal.

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Authors and Affiliations

  1. Civil Engineering Department, University of Aveiro, Aveiro, Portugal

    Vitor Silva & Humberto Varum

  2. GEM Foundation, Pavia, Italy

    Vitor Silva, Helen Crowley & Rui Pinho

  3. Faculty of Civil Engineering, University of Porto, Porto, Portugal

    Humberto Varum

  4. Civil Engineering and Architecture Department, University of Pavia, Pavia, Italy

    Rui Pinho

  5. Faculty of Civil Engineering, University of Porto, Porto, Portugal

    Luis Sousa

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  1. Vitor Silva
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Correspondence to Vitor Silva.

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Silva, V., Crowley, H., Varum, H. et al. Investigation of the characteristics of Portuguese regular moment-frame RC buildings and development of a vulnerability model. Bull Earthquake Eng 13, 1455–1490 (2015). https://doi.org/10.1007/s10518-014-9669-y

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