Title: Investigation of reliability analysis of shallow foundation by combining Hasofer-Lind index, response surface methodology and multi-objective genetic algorithm

Authors: Brahim Lafifi; Ammar Rouaiguia

Addresses: Laboratory of Civil Engineering and Hydraulics, University 8 Mai 1945 Guelma, Guelma, Algeria ' Laboratory of Civil Engineering and Hydraulics, University 8 Mai 1945 Guelma, Guelma, Algeria

Abstract: This paper presents a reliability analysis of a shallow foundation solicited by a central vertical loading, using the classical limit equilibrium theory and the Hasofer-Lind reliability approach. A deterministic model represented by the Meyerhof equations and Holtz formula is used to compute the ultimate bearing capacity and the settlement of the foundation. The concepts of design of experiments and Response Surface Method (RSM) can be used for the evaluation of the performance functions by generating the approximate polynomials equations. In this study, unit weight, cohesion and friction angle of soil were considered as random variables for the bearing capacity, whereas, Young's modulus and Poisson ratio for the settlement. From the obtained results in terms of reliability index and design points, it is important to notice that the adopted method showed a satisfactory concordance with the author's methods applicable in the reliability problems.

Keywords: reliability analysis; shallow foundation; RSM; optimisation; genetic algorithm.

DOI: 10.1504/IJRS.2021.119642

International Journal of Reliability and Safety, 2021 Vol.15 No.1/2, pp.18 - 36

Received: 31 Jul 2020
Accepted: 15 Mar 2021
Published online: 13 Dec 2021 *

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