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Sizing the slenderness of free-standing rocking columns to withstand earthquake shaking

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Abstract

This paper investigates the problem of sizing the width of tall free-standing columns with a given height which are intended to rock, yet shall remain stable during the maximum expected earthquake shaking. The motivation for this study is the emerging seismic design concept of allowing tall rigid structures to uplift and rock in order to limit base moments and shears. The paper first discusses the mathematical characterization of pulse-like ground motions and the dimensionless products that govern the dynamics of the rocking response of a free-standing block and subsequently, using basic principles of dynamics, derives a closed-form expression that offers the minimum design slenderness that is sufficient for a free-standing column with a given size to survive a pulse-like motion with known acceleration amplitude and duration.

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Author notes

  1. Michalis F. Vassiliou

    Present address: Institute of Structural Engineering, ETH Zurich, 8093, Zurich, Switzerland

Authors and Affiliations

  1. Department of Civil Engineering, University of Patras, 26500, Patras, Greece

    Nicos Makris & Michalis F. Vassiliou

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  1. Nicos Makris
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  2. Michalis F. Vassiliou
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Correspondence to Nicos Makris.

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Makris, N., Vassiliou, M.F. Sizing the slenderness of free-standing rocking columns to withstand earthquake shaking. Arch Appl Mech 82, 1497–1511 (2012). https://doi.org/10.1007/s00419-012-0681-x

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