Evaluation of displacement coefficient method for seismically
retrofitted buildings with various ductility capacities
Murat Dicleli*
,†
and Cengizhan Durucan
Department of Engineering Sciences, METU, Ankara, Turkey
SUMMARY
This research study is aimed at evaluating the accuracy of the displacement coefficient method (DCM) of
FEMA 440 and associated nonlinear static procedure (NLSP) for actual buildings with soft story mechanism
and various ductility capacities. The DCM and associated NLSP are evaluated using two existing
seismically vulnerable buildings with soft story mechanism. The buildings are first retrofitted using a ductile
steel-brace-link system to represent those with good ductility capacity and then retrofitted with RC squat
infill shear panels (SISPs) to represent those with relatively poor ductility capacity. The evaluation of the
DCM of FEMA 440 and associated NLSP is then performed by comparing the roof displacements (target
displacements), maximum interstory drifts, and maximum plastic hinge rotations of the original and
retrofitted buildings obtained from NLSP (at the target displacement level of DCM) with those obtained
from nonlinear response history (NRH) analyses for three different seismic performance levels. It is
observed that the DCM, and hence, the NLSP fail to accurately predict the NRH analyses results mainly
due to uncertainties in the coefficient C
1
of the DCM in the short period range, the inability of the DCM
to capture the failure of structural members beyond a certain lateral displacement or plastic rotation limit
and associated soft story mechanism. Copyright © 2013 John Wiley & Sons, Ltd.
Received 28 March 2013; Revised 5 November 2013; Accepted 10 November 2013
KEY WORDS: displacement coefficient method; target displacement; seismic retrofitting; reinforced
concrete building
1. INTRODUCTION
In many municipal areas around the world, several destructive earthquakes in the last two decades
resulted in extensive damage to RC buildings. Practically most of the structural and nonstructural
damage sustained in such buildings is produced by lateral displacements. Accordingly, a common
consensus has been reached by the earthquake engineering community at large to adopt the
performance-based seismic design procedure that requires an accurate estimation of the inelastic
lateral displacement demands in the buildings. Currently, there are several well-known performance-
based seismic evaluation and rehabilitation methods such as the displacement coefficient method
(DCM) of FEMA 440 [1], capacity spectrum method of ATC-40 [2], N2 method [3], and its
extension to asymmetric buildings [4]. FEMA 440 is an improvement of nonlinear static seismic
analysis procedures of FEMA 356 [5] and ATC-40 for seismic rehabilitation of buildings.
There are four seismic rehabilitation design procedures proposed by FEMA 440 to estimate whether
structures meet a predefined performance level (PL). These are the linear static procedure, the linear
dynamic procedure, DCM, and the nonlinear dynamic procedure. In this paper, the DCM and
associated nonlinear static procedure (NLSP) are discussed and evaluated. In the DCM of FEMA
*Correspondence to: Murat Dicleli, Department of Engineering Sciences, METU, Ankara, Turkey.
†
E-mail: mdicleli@metu.edu.tr
Copyright © 2013 John Wiley & Sons, Ltd.
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS
Earthquake Engng Struct. Dyn. (2013)
Published online in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/eqe.2397