Study of the General Form of 3D Limit Equilibrium

Abstract

On the base of the equilibrium of the whole force equilibrium, the whole moment equilibrium of the slope, and the force equilibrium of the differential column, this paper provides a general form of the 3D limit equilibrium which includes three equations. Through these equations and each assumption of the classical methods, their analytic forms can be gotten. Thus, not only the computation quantities of the classical method can be decreased greatly, but also the programming of them become very easy, and the computation efficiency also can be developed. At last, through the example in Zhang Xing’s paper and the analytic forms of the classical methods, this paper analyzes the effect of the sliding body width, the shearing strength parameters and the shearing force direction on the safety factor.