Computation of 3D safety factor of asymmetric and rotational slopes

Based upon modification of the normal stresses over the slip surface,the explicit limit equilibrium solution was derived for the 3D safety factor of asymmetric and rotational slopes.The normal stresses over the 3D failure surface were initially assumed and then multiplied by a modification function involving two factors to be determined.According to equilibrium conditions of vertical force,horizontal force perpendicular to the sliding direction and moment about rotational axis,a quadratic equation in terms of the safety factor and then the explicit solution for the 3D safety factor of asymmetric slopes were obtained.In the present method the interaction between the columns was neglected,while the main equilibrium conditions were satisfied,and the computation process of this method was straightforward.This method could be applied for the stability evaluation in practical slope engineering.