The stability of slopes during and after excavation is always a significant issue in the field of rock mechanics. The blocky-flexural toppling failure is one of the most probable types of instabilities in rock slopes. The stability analysis of toppling failure is based on the limit equilibrium approach and the slope stability is then ascertained by determining the force necessary for equilibrium of the block at the toe of the slope. Existence some simplifications in this process affects the safety factor, indeed. In this study a stability analysis method for slopes against the blocky-flexural toppling failure is proposed. In the proposed method with the use of fracture mechanics and combination of statistical and fuzzy methods has been tried to solve these problems. Finally a software is developed by using the proposed theory and a real case study has also analyzed by that. The results of the analysis confirm that this generalization is valid an effective way of dealing with the problems in discontinuous rock mass as long as the geomechanics and geometry data are properly included in this approach.

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