Bull Earthquake Eng (2014) 12:2531–2556
DOI 10.1007/s10518-014-9595-z
ORIGINAL RESEARCH PAPER
Effectiveness of nonlinear static procedures for slender
masonry towers
Barbara Pintucchi · Nicola Zani
Received: 5 February 2013 / Accepted: 6 February 2014 / Published online: 18 February 2014
© Springer Science+Business Media Dordrecht 2014
Abstract This paper investigates the accuracy of pushover-based methods in predicting the
seismic response of slender masonry towers, through comparison with the results from a large
number of nonlinear time-history dynamic analyses. In particular, conventional pushover
analyses, in both their force- and displacement-based variants, are considered, and seismic
assessment through the well-established N2 method is also addressed. The study is conducted
by applying a simple non-linear elastic model recently developed and implemented in the
computational code MADY to represent slender masonry structures. The model enables both
pushover analyses and non-linear dynamic analyses to be performed with a minimum of
effort. A multi-record incremental dynamic analysis carried out for a quite large number of
structural cases, each of which is subjected to a comprehensive set of dynamic nonlinear
analyses, is used to evaluate the accuracy of pushover methods in predicting the global
structural response, as represented by the usual capacity curve together with a damage curve,
both of which are compared with dynamic envelopes. Local responses, in terms of lateral
displacements and the distribution of damage along the tower height are also compared.
The results reveal that the key issue in the accuracy of pushover methods is the nature of
the lateral load applied, that is, whether it is a force or a displacement. Different ranges of
expected deformation are suggested for adopting each type of lateral load to better represent
the actual behaviour of masonry towers and their damage under seismic events through
pushover methods.
Keywords Masonry towers · Pushover analysis · Nonlinear static procedures · No tension
material · Incremental dynamic analysis · Force-based and displacement-based pushover
1 Introduction
Nonlinear static procedures based on pushover analyses have been increasingly recognized as
effective techniques in seismic design and assessment. The indubitable advantage of account-
B. Pintucchi (B ) · N. Zani
Department of civil and Environmental Engineering (DICeA), University of Florence,
Piazza Brunelleschi 6, 50121 Florence, Italy
e-mail: barbara.pintucchi@unifi.it
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