Stability analysis method for anchored slopes considering stress dispersion effect in sliding mass due to anchor tensile forces

In order to reasonably analyze the stability of anchored slopes with consideration of stress dispersion effect in the sliding mass due to anchor tensile forces, the anchor forces on the frameworks on the slope face are transformed into the locally normal and tangential strip loading, and the corresponding dispersed normal and shear stress on the slip surface is obtained using the Boussinesq's and Cerruti's solution of elastic mechanics. On this basis, the additional stress results are introduced into the limit equilibrium slice method for slope stability analysis, and the related formulas based on the Morgenstern-Price method is derived. The analysis results of a practical slope reinforced with prestressed anchor cable framework show that the additional stress on the slip surface does not fully provide resistance for the sliding mass, but a few of them are driving the sliding mass. Compared with that of the traditional analysis method for anchored slope stability in which the anchor tensile forces on the sliding mass are assumed simply as a series of single forces on the slip surface, the factor of safety obtained using the proposed method is smaller, and it is more consistent with that computed by the numerical simulation method.