INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING
Volume 5, No 3, 2015
© Copyright by the authors - Licensee IPA- Under Creative Commons license 3.0
Research article ISSN 0976 – 4399
Received on November, 2014 Published on February, 2015 216
Application of Pushover Analysis for the calculation of Behavior Factor for
Reinforced Concrete Moment-Resisting Frames
Mohamed S. Issa
1
, Heba M. Issa
2
1- Professor, Reinforced Concrete Research Institute, Housing and Building National
Research Center, HBRC, Cairo
2- Lecturer, Reinforced Concrete Research Institute, Housing and Building National
Research Center, HBRC, Cairo
drmsisssa@gmail.com
doi: 10.6088/ijcser.2014050021
ABSTRACT
Modern seismic design codes stipulates a behavior factor (q-factor) to reduce the earthquake
loads which the structure is to be designed for. This is in account for the inelastic behavior of
the structure when subjected to severe earthquakes. Inelastic dynamic analysis consumes long
time in the interpretation of its results. A popular and simple method for studying the
nonlinear response of the structure is pushover analysis. Static type of pushover analysis is to
be used in this research work where the loads consist of permanent gravity loads and
incremental horizontal forces at each storey level. Capacity curves (base shear versus story
total drift) obtained from static pushover analysis using a commercially available software
called SeismoStruct (SeismoSoft 2014 ) are used for the calculation of some seismic demand
parameters such as behavior factor, q, overstrength factor, , and ductility based reduction
factor, Rμ . Four reinforced concrete moment-resisting frames each of 7, 5 and 3 stories are
used in the analysis. The research work proved the efficiency of the static pushover analysis
in studying the nonlinear behavior of structures and that the suggested behavior factor (q) by
the Eurocode 8- Part 1 (Eurocode 8 Committee 2003 ) for non-dissipative structures presents
an acceptable lower limit.
Keywords: Seismic design, Behavior factor (q), Pushover analysis, Inelastic behavior,
Capacity curves.
1. Introduction
Nonlinear analysis is an important tool for the seismic design of structures. Among the
nonlinear methods of analysis is dynamic analysis. However, this type of analysis is complex,
time consuming and requires a carful interpretation of results. An efficient and simple method
to assess the nonlinear behavior of structures under seismic loads is the inelastic static
pushover analysis which is used here in this research work. This method is suitable for
structures featuring dynamic responses that are not significantly affected by the levels of
deformation incurred. Most of the modern international seismic design codes stipulates a so
called behavior factor or force reduction factor (q) to reduce the earthquake loads considering
the fact that the structure will show an inelastic behavior which dissipates the earthquake
energy. This inelastic behavior will be associated with large inelastic deformations (ductility
capacity) which governs the structural capacity in withstanding the earthquake loads. The
structural ductility (μ s) is calculated as the ratio of maximum displacement to the
displacement at yielding. This ductility capacity (μ s) is to be higher for structures with higher
behavior factor (q).