EFFECT OF HORIZONTAL ECCENTRICITY ON THE RESPONSE REDUCTION FACTOR (R)
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Date
 2025-08-05 
Authors
Bustami, Haya
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Publisher
 An-Najah National University 
Abstract
 Structural irregularities significantly affect the seismic performance of buildings. Structures with 
architectural flaws may endure excessive twisting, differential story displacements, and probable 
collapse during seismic events. International standards, including ACI and ASCE, lack explicit 
directives for including the response modification factor (R) in the presence of horizontal 
eccentricity cases. The study aims to examine the impact of horizontal irregularity on the R 
factor for Intermediate Moment Resisting Frame (IMRF) structures. The study examines two 
variables: the number of stories and the amount of eccentricity. The study encompasses 
structures of 5, 7, 9, 12, and 15 stories, exhibiting eccentricity indicator values that vary from 
zero for reference specimens to 60% of the building width. SAP2000 is utilized for the analysis 
and design of buildings, incorporating response spectrum nonlinear analysis for seismic forces in 
accordance with ASCE standards. Push-over curves are produced to ascertain the correlation 
between horizontal eccentricity and R-value. Diverse push-over curves are utilized to examine 
various conditions. This encompasses standard push-over curves with flexural hinges, push-over 
curves incorporating mixed flexural, shear, and torsion hinges, as well as push-over curves 
reflecting the influence of bidirectional lateral pressures (push-over modal curves).  
The results demonstrate that the R-factor for the reference building corresponds with the 
recorded code value. Moreover, elevated eccentricity levels diminish the R-factor for buildings 
of identical height. As the elevation of the structure rises, the R-factor diminishes. The R-factor 
reduction varies from zero for the reference specimens to 25% for a fifteen-story with 60% 
eccentricity indicator. Utilizing bidirectional push-over curves that integrate integrated flexural, shear, and torsion hinges results in a 30% reduction in R-factors. For the majority of moderately 
tall structures, the reduction is approximately 15%. The decrease in the R-factor results from the 
development of plastic hinges on one side of the structure, causing abrupt failure of specific 
joints before the joints on the opposite side give.