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Probabilistic analysis of ultimate seismic bearing capacity of strip foundations
Authors:Adam Hamrouni  Badreddine Sbartai  Daniel Dias
Affiliation:1. Laboratory InfraRes, Mohammed Cherif Messaadia University, Souk-Ahras, Algeria;2. Department of Civil Engineering, Badji Mokhtar-Annaba University, Annaba, Algeria;3. Laboratory LMGHU, Skikda University, Skikda, Algeria;4. School of Automotive and Transportation Engineering, Hefei University of Technology, Hefei, 230009, China;5. Grenoble Alpes University, Laboratory 3SR, Grenoble, France
Abstract:This paper presents a reliability analysis of the pseudo-static seismic bearing capacity of a strip foundation using the limit equilibrium theory. The first-order reliability method (FORM) is employed to calculate the reliability index. The response surface methodology (RSM) is used to assess the Hasofer–Lind reliability index and then it is optimized using a genetic algorithm (GA). The random variables used are the soil shear strength parameters and the seismic coefficients (kh and kv). Two assumptions (normal and non-normal distribution) are used for the random variables. The assumption of uncorrelated variables was found to be conservative in comparison to that of negatively correlated soil shear strength parameters. The assumption of non-normal distribution for the random variables can induce a negative effect on the reliability index of the practical range of the seismic bearing capacity.
Keywords:Strip foundations  Seismic bearing capacity  First-order reliability method (FORM)  Response surface methodology (RSM)  Reliability  Genetic algorithm (GA)
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