Reliability-Based Analysis of Strip Footings Using Response Surface Methodology
Publication: International Journal of Geomechanics
Volume 8, Issue 2
Abstract
A reliability-based analysis of a strip foundation subjected to a central vertical load is presented. Both the ultimate and the serviceability limit states are considered. Two deterministic models based on numerical simulations are used. The first one computes the ultimate bearing capacity of the foundation and the second one calculates the footing displacement due to an applied load. The response surface methodology is utilized for the assessment of the Hasofer–Lind reliability indexes. Only the soil shear strength parameters are considered as random variables while studying the ultimate limit state. Also, the randomness of only the soil elastic properties is taken into account in the serviceability limit state. The assumption of uncorrelated variables was found to be conservative in comparison to the one of negatively correlated variables. The failure probability of the ultimate limit state was highly influenced by the variability of the angle of internal friction. However, for the serviceability limit state, the accurate determination of the uncertainties of the Young's modulus was found to be very important in obtaining reliable probabilistic results. Finally, the computation of the system failure probability involving both ultimate and serviceability limit states was presented and discussed.
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Acknowledgments
The writers would like to thank the Lebanese National Council for Scientific Research (CNRSL) and the French organization EGIDE for providing the financial support for this research.
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Information
Published In
International Journal of Geomechanics
Volume 8 • Issue 2 • March 2008
Pages: 134 - 143
Copyright
© 2008 ASCE.
History
Received: Dec 12, 2006
Accepted: Jul 13, 2007
Published online: Mar 1, 2008
Published in print: Mar 2008
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