Bull Earthquake Eng (2011) 9:1463–1498
DOI 10.1007/s10518-011-9260-8
ORIGINAL RESEARCH PAPER
A performance-based adaptive methodology
for the seismic evaluation of multi-span simply
supported deck bridges
Donatello Cardone · Giuseppe Perrone ·
Salvatore Sofia
Received: 18 December 2009 / Accepted: 22 March 2011 / Published online: 9 April 2011
© Springer Science+Business Media B.V. 2011
Abstract A performance-based adaptive methodology for the seismic assessment of high-
way bridges is proposed. The proposed methodology is based on an Inverse (I), Adaptive
(A) application of the Capacity Spectrum Method (CSM), with the capacity curve of the
bridge derived through a Displacement-based Adaptive Pushover (DAP) analysis. For this
reason, the acronym IACSM is used to identify the proposed methodology. A number of
Performance Levels (PLs), for which the seismic vulnerability and seismic risk of the bridge
shall be evaluated, are identified. Each PL is associated to a number of Damage States (DSs)
of the critical members of the bridge (piers, abutments, joints and bearing devices). The
IACSM provides the earthquake intensity level (PGA) corresponding to the attainment of
the selected DSs, using over-damped elastic response spectra as demand curves. The seismic
vulnerability of the bridge is described by means of fragility curves, derived based on the
PGA values associated to each DS. The seismic risk of the bridge is evaluated as convolution
integral of the product between the fragility curves and the seismic hazard curve of the bridge
site. In this paper, the key aspects and basic assumptions of the proposed methodology are
presented first. The IACSM is then applied to nine existing simply supported deck bridges,
characterized by different types of piers and bearing devices. Finally, the IACSM predictions
are compared with the results of nonlinear response time-history analysis, carried out using
a set of seven ground motions scaled to the expected PGA values.
Keywords Bridges · Seismic evaluation · Damage states · Adaptive pushover analysis ·
Capacity spectrum method · Nonlinear response time-history analysis
1 Introduction
Recent earthquakes have repeatedly demonstrated the seismic vulnerability of existing
bridges, due to their design based on gravity loads only or inadequate levels of lateral forces
D. Cardone (B ) · G. Perrone · S. Sofia
DiSGG—University of Basilicata, Potenza, Italy
e-mail: donatello.cardone@unibas.it
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