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.
Index Terms—Slope stability, performance function, reliability index, probability of ruin.
L. Menaa is with the Department of civil engineering as a Lecturer,,
University of Medea, Algeria, (phone: +213-772-264090, e-mail:
Z. Talaaiche is with the Department of mechanical engineering, University of Algiers, Algeria.
Cite: L. Menaa and Z. Talaaiche, "To A Probabilistic Approach of Reinforced Slope Stability Analysis," International Journal of Engineering and Technology vol. 5, no. 1, pp. 125-130, 2013.