To A Probabilistic Approach of Reinforced Slope Stability Analysis

Abstract

A developed probabilistic model to analyze reinforced slopes is presented in this paper where, a log-normal distribution law and a first order of second moment method FOSM are used. Moreover, an interactive code, using C ++ language, based on a developed model, is carried out. With idea to validate the developed model, a parametric study was conducted, considering three types of current soils, taking into account the following parameters: cohesion ''C'', internal friction angle ''φ '', the unit weight ''γ'' and apparent soil-reinforcement friction angle ''α''. Expected variables were: reliability index ''  '', the probability of failure (ruin) Pr'' and the safety factor '' FS. Obtained results show that the friction angle φ and cohesion C seem most significant while, the reinforced soil unit weight ''γ'' and the soil-reinforcement interface friction angle ''α'' show a slightly sensitive influence. Besides, it is clearly showed that safety factor increases with the increase of reinforcement length.