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Simplified calculation of roof accelerations in existing low-rise symmetric unreinforced masonry buildings with flexible diaphragms

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Abstract

A formulation is presented for simplified evaluation of the roof acceleration response for the purpose of assessing non-structural components in unreinforced masonry buildings with flexible diaphragms excluding torsional effects. The method is based on modal calculations that are further studied through nonlinear time-history analysis (NLTHA) of four case study buildings. The NLTHA results for a relatively small level of ground shaking was used to validate the overall ability of the simplified modal method to predict the diaphragm flexibility effects. The NLTHA results were also used to discuss the effects of the building inelastic response in the conservatism of the simplified modal technique. It was found that, in lieu of a comprehensive modal analysis, it is possible to calculate roof accelerations in symmetric low-rise buildings with flexible diaphragms using a simplified two-mode modal method. Based on this study, a predictive method is proposed for conservative estimation of peak roof accelerations in these buildings.

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Data availability

All data, models, or code generated or used during the study are available from the corresponding author by request. The data includes the MDOF analysis input and output files.

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Acknowledgements

The first author acknowledges the support of Australian Government through Australian Research Council Early Career Researcher Award (DE180101593). The authors gratefully acknowledge the financial support of the Australian Research Council through its Cooperative Research Centre (CRC) programme and specifically the Bushfire and Natural Hazards CRC. The views and opinions expressed in this paper are those of the authors and not necessarily those of the sponsors.

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Authors and Affiliations

  1. Queensland University of Technology, 2 George St, Brisbane, QLD, 4000, Australia

    H. Derakhshan & M. Dhanasekar

  2. WSP Australia, 1 King William St, Adelaide, SA, 5000, Australia

    Y. Nakamura

  3. University of Adelaide, North Terrace, Adelaide, SA, 5000, Australia

    M. C. Griffith

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  1. H. Derakhshan
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  2. Y. Nakamura
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  3. M. C. Griffith
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  4. M. Dhanasekar
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Correspondence to H. Derakhshan.

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Derakhshan, H., Nakamura, Y., Griffith, M.C. et al. Simplified calculation of roof accelerations in existing low-rise symmetric unreinforced masonry buildings with flexible diaphragms. Bull Earthquake Eng 18, 3383–3400 (2020). https://doi.org/10.1007/s10518-020-00823-1

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