Study of cantilever beam limit equilibrium model of anti-dip layered rock slopes

It is a feasible method to study the deformation and failure of anti-dip layered rock slopes by using limit equilibrium method based on cantilever beam theory, which not only pay attention to deformation process, but also focus on the mechanics analysis. Based on the research status at home and abroad, this paper launched the research of cantilever beam limit equilibrium analysis model. Firstly, the concept of "reference surface" was raised through field phenomenon observation, by which the deformation geometric space conditions of the anti-dip layered slope can be partitioned; therefore the mechanism analysis of rock layer failure pattern could be done according to the different situations of partitions; and the conclusion was made that the formation mechanism of the failure surface is the combined effect of both curved tension and compression shear. On this basis, the hypothesis or the theoretical analysis of the various parameters in the cantilever beam limit equilibrium analysis model was given; and the calculation model was established. Finally, taking Zhongliang reservoir Xiaodongcao-Zhengjiadagou segment anti-dip bank slope in Wuxi County, Chongqing for example, based on the recognition of slope deformation and failure pattern, the theory of cantilever beam limit equilibrium model was used in this example, and the rationality of the model was verified. At the same time, the calculation steps were given; and the correctness of the analytical model was verified by numerical simulation method. Model results show that the damage zone can be divided into slip area, toppling area and toppling influenced zone; damage zone size is determined by slope angle, strata inclination and slope height; and damage zone only exists when the three relations ( formula ( 13)) is greater than zero that deformation and failure could occur. The research results have theoretical significance and application value to the stability evaluation and prevention of anti-dip layered rock slopes.