A concise algorithm for computing the factor of safety using the MorgensternPrice method

Abstract

A concise algorithm is proposed in this paper for the calculation of the factor of safety of a slope using the Morgenstern–Price method. Based on force and moment equilibrium considerations, two expressions are derived for the factor of safety F s and the scaling factor λ, respectively, both in relatively simple forms. With this algorithm and assumed initial values of F s and λ, the solutions for F s and λ are found to converge within a few iterations. Compared to other procedures, the present algorithm possesses the advantages of simplicity and high efficiency in application. It is rather straightforward to implement this algorithm into a computer program.Key words: slope, stability, factor of safety, limit equilibrium method.