Recommendations for the shape of the design response spectrum in the New Zealand seismic loadings technical specification
DOI:
https://doi.org/10.5459/bnzsee.1692Abstract
The recent release of the 2022 national seismic hazard model has highlighted significant changes in the quantified seismic hazard for much of New Zealand that has prompted the development of draft changes to the NZS 1170.5 seismic design provisions. One proposed change is to the shape of the design spectrum, which was previously provided by a spectral shape factor, Ch(T), that is a function of site class only. However, research has shown that spectral shape is strongly affected by several additional factors including earthquake magnitude and shaking intensity. Moreover, the use of fixed spectral shapes that vary only by site class results in significant variability between the functional form of the elastic design response spectrum, C(T), and the direct results from the national seismic hazard model. International loading standards typically include a dependency on intensity and site class in the spectral shape equations and these form the basis for the approach recommended here. The functional form of the design response spectrum is also updated to better represent spectral displacement demands on longer period structures. The proposed new spectral shape equations are compared to the 2022 national seismic hazard model output and the equations used in the previous New Zealand loading standard. Results show that the proposed approach provides a significantly better approximation of the national seismic hazard model results than the current spectral shape across a range of periods, site classes, annual probabilities of exceedance, and locations.
References
Standards New Zealand (2004). “NZS 1170.5—Part 5: Earthquake Actions—New Zealand”. Standards New Zealand.
https://www.standards.govt.nz/shop/nzs-1170-52004-excludes-amdt-1
Lee RL, Cubrinovski M and Bradley BA (2025). “Site classification methodology for TS 1170.5 design spectra”. Bulletin of the NZ Society for Earthquake Engineering, 58(1): 11-39. https://doi.org/10.5459/bnzsee.1686 DOI: https://doi.org/10.5459/bnzsee.1686
Hulsey AM, Elwood KJ, Horspool N, Gerstenberger MC and Sullivan TJ (2025). “Assessing the life-safety risk for the proposed Technical Specification (TS) 1170.5”. Bulletin of the New Zealand Society for Earthquake Engineering, 58(2): 119-133. https://doi.org/10.5459/bnzsee.1690
Housner GW (1941). “An Investigation of The Effects of Earthquakes on Buildings”. PhD Dissertation. California Institute of Technology.
Sorrentino L (2007). “The early entrance of dynamics in earthquake engineering: Arturo Danusso’s contribution”. ISET Journal of Earthquake Technology, 44(1): 1–24. DOI: https://doi.org/10.63898/YEFM4007
Newmark NM (1959). “A method of computation for structural dynamics”. Journal of the Engineering Mechanics Division, 85(3): 67–94.
https://doi.org/10.1061/JMCEA3.0000098 DOI: https://doi.org/10.1061/JMCEA3.0000098
Chopra AK (2007). Dynamics of Structures. Pearson Education India.
Newmark NM (1970). “Current trends in the seismic analysis and design of high-rise structures”. Selected Papers by Nathan M. Newmark: Civil Engineering Classics, 787–808.
Newmark NM, Blume JA and Kapur KK (1973). “Seismic design spectra for nuclear power plants”. Journal of the Power Division, 99(2), 287–303.
https://doi.org/10.1061/JPWEAM.0000753 DOI: https://doi.org/10.1061/JPWEAM.0000753
Hayashi S, Tsuchida H and Kurata E (1972). “Average Response Spectra for Various Subsoil Conditions”. McGraw Hill Book Company.
Kuribayashi E, Iwasaki T, Iida Y and Tuji K (1972). “Effects of seismic and subsoil conditions on earthquake response spectra”. International Conference on Micro-zonation, 499–512.
Seed HB, Ugas C and Lysmer J (1976). “Site-dependent spectra for earthquake-resistant design”. Bulletin of the Seismological Society of America, 66(1): 221–243. DOI: https://doi.org/10.1785/BSSA0660010221
American Society of Civil Engineers (2021). “ASCE 7-22: Minimum Design Loads and Associated Criteria for Buildings and Other Structures (7th Ed.)”. American Society of Civil Engineers.
https://doi.org/10.1061/9780784415788 DOI: https://doi.org/10.1061/9780784415788
McGuire RK (1974). “Seismic Structural Response Risk Analysis, Incorporating Peak Response Regressions on Earthquake Magnitude and Distance”. Report R74-51, Structures Publication, 399.
https://cir.nii.ac.jp/crid/1570291224295683712
Trifunac MD and Anderson JG (1978). “Preliminary Empirical Models for Scaling Pseudo Relative Velocity Spectra”. Department of Civil Engineering, University of Southern California Berkeley.
Faccioli E, Paolucci R and Rey J (2004). “Displacement spectra for long periods”. Earthquake Spectra, 20(2): 347–376. https://doi.org/10.1193/1.1707022 DOI: https://doi.org/10.1193/1.1707022
Joyner WB and Boore DM (1982). “Estimation of Response-Spectral Values as Functions of Magnitude, Distance, And Site Conditions”. US Geological Survey. https://pubs.usgs.gov/of/1982/0881/report.pdf DOI: https://doi.org/10.3133/ofr82881
Joyner WB and Boore DM (1982). “Prediction of Earthquake Response Spectra”. US Geological Survey Open-file Report. DOI: https://doi.org/10.3133/ofr82977
https://pubs.usgs.gov/of/1982/0977/report.pdf
Boore DM, Joyner WB and Fumal TE (1997). “Equations for estimating horizontal response spectra and peak acceleration from Western North American earthquakes: A summary of recent work”. Seismological Research Letters, 68(1): 128–153. https://doi.org/10.1785/gssrl.68.1.128 DOI: https://doi.org/10.1785/gssrl.68.1.128
Somerville PG, Saikia C, Wald D and Graves R (1996). “Implications of the Northridge earthquake for strong ground motions from thrust faults”. Bulletin of the Seismological Society of America, 86(1B): S115–S125. https://doi.org/10.1785/BSSA08601BS115 DOI: https://doi.org/10.1785/BSSA08601BS115
Somerville PG and Graves RW (1996). “Strong ground motions of the Kobe, Japan earthquake of Jan. 17 1995 and development of a model of forward rupture directivity effects applicable in California”. Western Regional Technical Seminar on Earthquake Engineering for Dams. Sacramento, California, 11-12.
Somerville PG, Smith NF, Graves RW and Abrahamson NA (1997). “Modification of empirical strong ground motion attenuation relations to include the amplitude and duration effects of rupture directivity”. Seismological Research Letters, 68(1): 199–222. https://doi.org/10.1785/gssrl.68.1.199 DOI: https://doi.org/10.1785/gssrl.68.1.199
Somerville PG, Krawinkler H and Alavi B (2000). “Development of Improved Ground Motion Representation and Design Procedures for Near-Fault Ground Motions”. Final Report to CSMIP Data Utilization Program, 1097–1601.
Weatherill G (2022). “Impact of Directivity on Probabilistic Seismic Hazard Calculations in New Zealand”. Postdam: GFZ German Research Centre for Geosciences.
Bradley BA and Weatherill G (2025). “Consideration of near-fault effects in New Zealand seismic hazard analysis and design spectra”. Bulletin of the New Zealand Society for Earthquake Engineering, 58(2). DOI: https://doi.org/10.5459/bnzsee.1706
https://doi.org/10.5459/bnzsee.1743 DOI: https://doi.org/10.5459/bnzsee.1743
McVerry GH, Zhao JX, Abrahamson NA and Somerville PG (2006). “New Zealand acceleration response spectrum attenuation relations for crustal and subduction zone earthquakes”. Bulletin of the NZ Society for Earthquake Engineering, 39(1): 1–58. https://doi.org/10.5459/bnzsee.39.1.1-58 DOI: https://doi.org/10.5459/bnzsee.39.1.1-58
Abrahamson NA and Shedlock KM (1997). “Overview”. Seismological Research Letters, 68: 9–23. DOI: https://doi.org/10.1785/gssrl.68.1.9
Boore DM (2010). “Orientation-independent, nongeometric-mean measures of seismic intensity from two horizontal components of motion”. Bulletin of the Seismological Society of America, 100(4): 1830–1835. https://doi.org/10.1785/0120090400 DOI: https://doi.org/10.1785/0120090400
Boore DM (2006). “Orientation-independent measures of ground motion”. Bulletin of the Seismological Society of America, 96(4A): 1502–1511.
https://doi.org/10.1785/0120050209 DOI: https://doi.org/10.1785/0120050209
Shahi SK and Baker JW (2014). “NGA-West2 models for ground motion directionality”. Earthquake Spectra. 30(3): 1285-1300. https://doi.org/10.1193/040913EQS097M DOI: https://doi.org/10.1193/040913EQS097M
Nievas CI and Sullivan TJ (2017). “Accounting for directionality as a function of structural typology in performance‐based earthquake engineering design”. Earthquake Engineering and Structural Dynamics, 46(5): 791–809. https://doi.org/10.1002/eqe.2831 DOI: https://doi.org/10.1002/eqe.2831
Stewart JP, Abrahamson NA, Atkinson GM, Baker JW, Boore DM, Bozorgnia Y, Campbell KW, Comartin CD, Idriss IM, Lew M, Mehrain M, Moehle JP, Naeim F and Sabol TA (2011). “Representation of bidirectional ground motions for design spectra in building codes”. Earthquake Spectra. 27(3): 927-937. https://doi.org/10.1193/1.3608001 DOI: https://doi.org/10.1193/1.3608001
CEN (2004). “Eurocode 8: Design of Structures for Earthquake Resistance—Part 1: General Rules, Seismic Actions and Rules for Buildings”. (EN 1998-1: 2004). European Committee for Standardization.
American Society of Civil Engineers (2016). “ASCE 7-16: Minimum Design Loads and Associated Criteria for Buildings and Other Structures”. American Society of Civil Engineers. https://doi.org/10.1061/9780784414248 DOI: https://doi.org/10.1061/9780784414248
Standards New Zealand (2004). “NZS 1170.5—Part 5: Earthquake Actions—New Zealand Commentary”. Standards New Zealand.
https://www.standards.govt.nz/shop/nzs-1170-5-supp-12004-excludes-amdt-1
Luco N, Ellingwood BR, Hamburger RO, Hooper JD, Kimball JK and Kircher CA (2007). “Risk-Targeted Versus Current Seismic Design Maps for the Conterminous United States”.
American Society of Civil Engineers. (2021). “ASCE7 Hazard Tool” [Dataset]. https://asce7hazardtool.online/
Subotić P, Muhadinović M, Sćepanović B and Lučić D (2024). “The future of seismic design of steel structures PR EN 1998-1-1 and PR EN 1998-1-2”. Journal of Applied Engineering Science, 22(2): 303–309.
https://doi.org/10.5937/jaes0-50730 DOI: https://doi.org/10.5937/jaes0-50730