Simplified seismic loss assessment using limit state loss-intensity models
DOI:
https://doi.org/10.5459/bnzsee.1579Abstract
In an effort to provide practicing engineers with simple means of limiting earthquake-induced losses to buildings, this paper extends a simplified damage-state loss vs. intensity approach for estimation of expected annual losses in two ways. Firstly, modifications to allow consideration of a threshold replacement limit state are provided. Secondly, an equation for simplified loss assessment of buildings characterised with a three-damage state loss-intensity model is presented. Furthermore, recommendations are provided for the simplified models associated parameters’ values. The proposed approach is trialled for three New Zealand code compliant eccentrically braced frame buildings, and the results compared against those obtained through the PEER framework. It is found that the expected annual loss can be predicted to within 10% of the values obtained via rigorous approaches and opportunities for further research are discussed.
References
Campbell P (2018). "Proposed low damage design guidance - A NZ Approach". 17th US-Japan-New Zealand Workshop on the Improvement of Structural Engineering and Resilience, Queenstown, NZ, 8 pp. https://www.atcouncil.org/docman/atc-15-16-papers/154-p1-02-campbell/file
Pettinga J (2021). "Directing low-damage seismic design with building functionality". Proceedings of the New Zealand Society for Earthquake Engineering Annual Technical Conference. https://repo.nzsee.org.nz/handle/nzsee/2338
Pampanin S (2012). "Reality-check and renewed challenges in earthquake engineering: Implementing low-damage systems–from theory to practice". Bulletin of New Zealand Society of Earthquake Engineering, 45(4): 137-160. https://doi.org/10.5459/bnzsee.45.4.137-160 DOI: https://doi.org/10.5459/bnzsee.45.4.137-160
Mayes R, Wetzel N, Weaver B, Tom K, Parker W, Brown A and Pietra D (2013). "Performance based design of buildings to assess damage and downtime and implement a rating system". Bulletin of New Zealand Society for Earthquake Engineering, 46(1): 40-55. https://doi.org/10.5459/bnzsee.46.1.40-55 DOI: https://doi.org/10.5459/bnzsee.46.1.40-55
Daniell JE, Khazai B, Wenzel F and Vervaeck A (2013). “The CATDAT damaging earthquakes database”. Natural Hazards Earth Systems Sciences, 11(8): 2235-2251. https://doi.org/10.5194/nhess-11-2235-2011 DOI: https://doi.org/10.5194/nhess-11-2235-2011
SEAOC Vision Committee (1995). "Performance-based seismic engineering". Structural Journal of Engineers Association of California, California, USA.
FEMA (2012). “FEMA P-58-1: Seismic Performance Assessment of Buildings Volume 1—Methodology”. Federal Emergency Management Agency and Applied Technology Council (ATC), Redwood City, CA, USA. https://femap58.atcouncil.org/
Sullivan T (2016). “Use of limit state loss versus intensity models for simplified estimation of expected annual loss”. Journal of Earthquake Engineering, 20(6): 954-974. https://doi.org/10.1080/13632469.2015.1112325 DOI: https://doi.org/10.1080/13632469.2015.1112325
Calvi GM, Sullivan TJ and Welch D (2014). “A seismic performance classification framework to provide increased seismic resilience”. Perspectives on European Earthquake Engineering and Seismology, pp. 361-400. https://link.springer.com/chapter/10.1007/978-3-319-07118-3_11 DOI: https://doi.org/10.1007/978-3-319-07118-3_11
Fajfar P and Dolšek M (2012). “A practice‐oriented estimation of the failure probability of building structures”. Earthquake Engineering and Structural Dynamics, 41(3): 531-547. https://doi.org/10.1002/eqe.1143 DOI: https://doi.org/10.1002/eqe.1143
Sullivan TJ, Welch DP and Calvi GM (2014). “Simplified seismic performance assessment and implications for seismic design”. Earthquake Engineering and Engineering Vibration, 13(1): 95-122. https://doi.org/10.1007/s11803-014-0242-0 DOI: https://doi.org/10.1007/s11803-014-0242-0
Hwang SH and Lignos DG (2017). “Earthquake‐induced loss assessment of steel frame buildings with special moment frames designed in highly seismic regions”. Earthquake Engineering and Structural Dynamics, 46(13): 2141-2162. https://doi.org/10.1002/eqe.2898 DOI: https://doi.org/10.1002/eqe.2898
Orumiyehei A and Sullivan TJ (2021). “Quantifying the likelihood of exceeding a limit state via the displacement-based assessment approach”. Journal of Earthquake Engineering, 26(8): 4346-4364. https://doi.org/10.1080/13632469.2020.1828200 DOI: https://doi.org/10.1080/13632469.2020.1828200
Orumiyehei A and Sullivan TJ (2021). “Displacement-based seismic assessment of the likelihood of failure of reinforced concrete wall buildings”. Buildings, 11(7): 295. https://doi.org/10.3390/buildings11070295 DOI: https://doi.org/10.3390/buildings11070295
Porter KA, Beck JL and Shaikhutdinov RV (2002). “Sensitivity of building loss estimates to major uncertain variables”. Earthquake Spectra, 18(4): 719-743. https://doi.org/10.1193/1.151 DOI: https://doi.org/10.1193/1.1516201
Luco N and Cornell CA (1998). “Effects of random connection fractures on the demands and reliability for a 3-story pre-Northridge SMRF structure”. Proceedings of the 6th US National Conference on Earthquake Engineering, 244: 1-12.
O'Reilly GJ and Sullivan TJ (2017). “Quantification of modelling uncertainty in existing Italian RC frames”. Earthquake Engineering and Structural Dynamics, 47(4): 1054-1074. https://doi.org/10.1002/eqe.3005 DOI: https://doi.org/10.1002/eqe.3005
Gentile R, Galasso C and Pampanin S (2021). “Material property uncertainties versus joint structural detailing: Relative effect on the seismic fragility of reinforced concrete frames”. Journal of Structural Engineering, 147(4): 04021007. https://orcid.org/0000-0002-7682-4490 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0002917
Haselton CB, Goulet CA, Mitrani-Reiser J, Beck JL, Deierlein GG, Porter KA, Stewart JP and Taciroglu E (2008). “An assessment to benchmark the seismic performance of a code-conforming reinforced-concrete moment-frame building”. Pacific Earthquake Engineering Research Center. https://authors.library.caltech.edu/33801/1/web_PEER712_HASELTONetal.pdf
Kazantzi A, Vamvatsikos D and Lignos D (2014). “Seismic performance of a steel moment-resisting frame subject to strength and ductility uncertainty”. Journal of Engineering Structures, 78: p. 69-77. https://doi.org/10.1016/j.engstruct.2014.06.044 DOI: https://doi.org/10.1016/j.engstruct.2014.06.044
Farag M, Mehanny S, Kohrangi M, Vamvatsikos D and Bakhoum M (2019). “Precast beam bridges with a buffer–gap–elastomeric bearings system: Uncertainty in design parameters and randomness in ground records”. Journal of Bridge Engineering, 24(5): 04019034. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001396 DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0001396
Fox MJ and Sullivan TJ (2016). “Use of the conditional spectrum to incorporate record‐to‐record variability in simplified seismic assessment of RC wall buildings”. Earthquake Engineering and Structural Dynamics, 45(3): 463-482. https://doi.org/10.1002/eqe.2669 DOI: https://doi.org/10.1002/eqe.2669
Baker JW (2010). “Conditional mean spectrum: Tool for ground-motion selection”. Journal of Structural Engineering, 137(3): 322-331. http://dx.doi.org/10.1061/(ASCE)ST.1943-541X.0000215 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000215
Ramirez CM and Miranda E (2009). “Building-specific loss estimation methods and tools for simplified performance-based earthquake engineering”. Stanford University. Report No. 171. https://stacks.stanford.edu/file/druid:zy329mj7285/TR171_Ramirez.pdf
Welch DP, Sullivan TJ and Calvi GM (2012). “Developing direct displacement-based design and assessment procedures for performance-based earthquake engineering”. IUSS Press. Pavia, Italy. https://doi.org/10.1080/13632469.2013.851046
Dhakal RP and Saha S (2017). “Loss optimization seismic design (LOSD): Beyond seismic loss assessment”. Proceedings of 16th World Conference on Earthquake Engineering, Santiago, Chile. https://www.wcee.nicee.org/wcee/article/16WCEE/WCEE2017-163.pdf
Khakurel S, Dhakal RP, Yeow TZ and Saha S (2020). “Performance group weighting factors for rapid seismic loss estimation of buildings of different usage”. Earthquake Spectra, 36(3): 1141-1165. https://doi.org/10.1177/8755293019901311 DOI: https://doi.org/10.1177/8755293019901311
Shahnazaryan D, O’Reilly GJ and Monteiro R (2021). “Story loss functions for seismic design and assessment: Development of tools and application”. Earthquake Spectra, 37(4). https://doi.org/10.1177/87552930211023523 DOI: https://doi.org/10.1177/87552930211023523
O’Reilly GJ and Calvi GM (2021). “A seismic risk classification framework for non-structural elements”. Bulletin of Earthquake Engineering, 19: 5471–5494. https://doi.org/10.1007/s10518-021-01177-y DOI: https://doi.org/10.1007/s10518-021-01177-y
Standards NZ (2004). “NZS 1170.5: Structural Design Actions Part 5: Earthquake Actions–New Zealand”. Standards New Zealand, Wellington, NZ.
Turner CWO, Spooner B and Hanson FMH (2003). Bridge Manual. Transit New Zealand, Wellington, NZ.
Sullivan T, Priestley N and Calvi GM (2012). A Model Code for the Displacement-Based Seismic Design of Structures, DBD12. IUSS Press, Pavia, Italy.
Welch D, Sullivan T and Calvi G (2014). “Developing direct displacement-based procedures for simplified loss assessment in performance-based earthquake engineering”. Journal of Earthquake Engineering, 18(2): 290-322. https://doi.org/10.1080/13632469.2013.851046 DOI: https://doi.org/10.1080/13632469.2013.851046
Sullivan TJ and Calvi GM (2013), “Developments in the Field of Displacement-Based Seismic Assessment”. EUCENTRE, Pavia, Italy.
Formisano A, Vaiano G and Fabbrocino F (2019). “A seismic-energetic-economic combined procedure for retrofitting residential buildings: A case study in the province of Avellino (Italy)”. AIP Conference Proceedings. https://doi.org/10.1063/1.5114435 DOI: https://doi.org/10.1063/1.5114435
Cardone D, Sullivan T, Gesualdi G and Perrone G (2017). “Simplified estimation of the expected annual loss of reinforced concrete buildings”. Earthquake Engineering and Structural Dynamics, 46(12): 2009-2032. https://doi.org/10.1002/eqe.2893 DOI: https://doi.org/10.1002/eqe.2893
Krawinkler H, Zareian F, Medina R and Ibarra L (2006). “Decision support for conceptual performance‐based design”. 35(1): 115-133. https://doi.org/10.1002/eqe.536 DOI: https://doi.org/10.1002/eqe.536
Elwood K, Marquis F and Kim J (2015). “Post-earthquake assessment and reparability of RC buildings: Lessons from Canterbury and emerging challenges”. Proceedings of the Tenth Pacific Conference on Earthquake Engineering: Building an Earthquake-Resilient Pacific.
FEMA (2012). “FEMA P58-2: Seismic Performance Assessment of Buildings: Volume 2 (Implementation)”. Applied Technology Council, Redwood City, CA.
O'Reilly GJ and Calvi GM (2019). “Conceptual seismic design in performance‐based earthquake engineering”. Journal of Earthquake Engineering and Structural Dynamics, 48(4): 389-411. https://doi.org/10.1002/eqe.3141 DOI: https://doi.org/10.1002/eqe.3141
Shahnazaryan D and O’Reilly GJ (2021). “Integrating expected loss and collapse risk in performance-based seismic design of structures”. Bulletin of Earthquake Engineering, 19(2): 987-1025. https://doi.org/10.1007/s10518-020-01003-x DOI: https://doi.org/10.1007/s10518-020-01003-x
Retamales R, Davies R, Mosqueda G and Filiatrault A (2013). “Experimental seismic fragility of cold-formed steel framed gypsum partition walls”. Journal of Structural Engineering, 139(8): 1285-1293. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000657 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000657
ASCE (2014). “ASCE 41-13: Seismic Evaluation and Retrofit Rehabilitation of Existing Buildings”. American Society for Civil Engineers, USA.
Porter KA and Beck JL (2004). “Simplified PBEE to estimate economic seismic risk for buildings”. Proceedings of the International Workshop on Performance-Based Seismic Design, Pacific Earthquake Engineering Research Center, USA. DOI: https://doi.org/10.1193/1.1809129
Cornell CA, Jalayer F, Hamburger R and Foutch D (2002). “Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines”. Journal of Structural Engineering, 128(4): 526-533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526) DOI: https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526)
Vamvatsikos D (2012). “Accurate application and second-order improvement of SAC/FEMA probabilistic formats for seismic performance assessment”. Journal of Structural Engineering, 140(2). https://doi.org/10.1061/(ASCE)ST.1943-541X.0000774 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000774
Bakalis K and Vamvatsikos D (2018). “Seismic fragility functions via nonlinear response history analysis”. Journal of Structural Engineering, 144(10). https://doi.org/10.1061/(ASCE)ST.1943-541X.0002141 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0002141
O’Reilly GJ and Sullivan TJ (2016). “Direct displacement-based seismic design of eccentrically braced steel frames”. Journal of Earthquake Engineering, 20(2): 243-278.
Haymes K, Sullivan T and Chandramohan R (2020). “A practice-oriented method for estimating elastic floor response spectra”. Bulletin of New Zealand Society for Earthquake Engineering, 53(3): 116-136. https://doi.org/10.5459/bnzsee.53.3.116-136 DOI: https://doi.org/10.5459/bnzsee.53.3.116-136
Standards NZ (2002). “NZS 1170.0: Structural Design Actions, Part 0: General Principles”. Standards New Zealand, Wellington, NZ.
Standards NZ (2007). “NZS 3404: Steel Structures Standard- New Zealand”. Standards New Zealand, Wellington, NZ.
Wilson EL and Habibullah A (2000). Structural Analysis Program SAP2000. Berkeley, California, USA.
Standards NZ (2002) “NZS 1170.2: Structural Design Actions, Part 2: Wind Actions”. Standards New Zealand, Wellington, NZ.
Mazzoni S and McKen F (2006). “The Open System for Earthquake Engineering Simulation (OpenSEES) User Command-Language Manual”.
De Francesco G and Sullivan TJ (2020). “Formulation of localized damping models for large displacement analysis of single-degree-of-freedom inelastic systems”. Journal of Earthquake Engineering, 26(8): 4235-4258. https://doi.org/10.1080/13632469.2020.1826370 DOI: https://doi.org/10.1080/13632469.2020.1826370
O’Reilly GJ and Sullivan TJ (2016). “Direct displacement-based seismic design of eccentrically braced steel frames”. Journal of Earthquake Engineering, 20(2): 243-278. https://doi.org/10.1007/s10518-013-9486-8 DOI: https://doi.org/10.1080/13632469.2015.1061465
Kanvinde A, Marshal K, Grilli D and Bomba G (2014). “Forensic analysis of link fractures in eccentrically braced frames during the February 2011 Christchurch earthquake: Testing and simulation”. Journal of Structural Engineering, 141(5). https://doi.org/10.1061/(ASCE)ST.1943-541X.0001043 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0001043
Nascimbene R, Rassati G and Wijesundara K (2012). “Numerical simulation of gusset plate connections with rectangular hollow section shape brace under quasi-static cyclic loading”. Journal of Constructional Steel Research, 70: 177-189. https://doi.org/10.1016/j.jcsr.2011.09.010 DOI: https://doi.org/10.1016/j.jcsr.2011.09.010
Jalayer F and Cornell C (2009). “Alternative non‐linear demand estimation methods for probability‐based seismic assessments”. Earthquake Engineering and Structural Dynamics, 38(8): 951-972. https://doi.org/10.1002/eqe.876 DOI: https://doi.org/10.1002/eqe.876
Yeow T, Orumiyehei A, Sullivan T, MacRae G, Clifton C and Elwood K (2018). “Seismic performance of steel friction connections considering direct-repair costs”. Bulletin of Earthquake Engineering, 16: 5963-5993. https://doi.org/10.1007/s10518-018-0421-x DOI: https://doi.org/10.1007/s10518-018-0421-x
Bradley BA (2010). “A generalized conditional intensity measure approach and holistic ground‐motion selection”. Earthquake Engineering and Structural Dynamics, 39(12): 1321-1342. https://doi.org/10.1002/eqe.995 DOI: https://doi.org/10.1002/eqe.995
O'Reilly GJ and Sullivan TJ (2016). “Fragility functions for eccentrically braced steel frame structures”. Engineering and Structures, 10(2): 367-388. https://doi.org/10.12989/eas.2016.10.2.367 DOI: https://doi.org/10.12989/eas.2016.10.2.367
Sullivan TJ, Fox M, Keen J and Goebbels S (2021). “Repair methods and costs for earthquake-damaged building components in New Zealand”. DesignSafe-CI. https://doi.org/10.17603/ds2-c9kw-n302