Probabilistic Evaluation of Strength Demands for Multistory Shear Buildings
Publication: Journal of Structural Engineering
Volume 144, Issue 9
Abstract
This paper employs a probabilistic framework to investigate the relationship between strength demands of multi-degree-of-freedom (MDOF) systems with that of equivalent single-degree-of-freedom (eSDOF) systems considering prevailing uncertainties. To this end, Monte Carlo sampling analysis is employed in which 1,875 records quantify the variability of ground motion. The first part of the study quantifies the probability distribution of the well-known MDOF modification factor, defined as the ratio of the strength demand of an MDOF system to that of the eSDOF system. The number of stories and the level of nonlinearity are found to be the most influential parameters on this factor. The second part of the study probabilistically quantifies the effect of this factor on the seismic performance of the structure. The results indicate a very high probability that a multistory building endures more than a twofold increase in the ductility demand when designed based on SDOF assumptions with no modification. The final part proposes a novel relationship to predict the modification factor using 1,200,000 data points, and examines past relationships in light of the new results.
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Acknowledgments
The financial support from Sharif University of Technology through Grant Nos. G930929 and G930930 is gratefully acknowledged.
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Published In
Journal of Structural Engineering
Volume 144 • Issue 9 • September 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jan 31, 2017
Accepted: Mar 28, 2018
Published online: Jul 2, 2018
Published in print: Sep 1, 2018
Discussion open until: Dec 2, 2018
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