Three-dimensional limit equilibrium method for asymmetrical slope stability analysis

Abstract

<p indent="0mm">A formula is proposed to calculate the DOS of 3D slopes based on the limit equilibrium theory. By combining the one-direction method with the proposed computational formula of DOS, a three-dimensional method for asymmetrical slope stability analysis based on one-direction force or/and moment equilibrium is proposed. The proposed method can compute both the factor of safety and the DOS of asymmetrical problems. As a result, the one-direction method’s potentially overestimated safety factors due to assumed DOS can be eliminated. Examples under static and pseudo-static forces are used to validate the proposed method’s logic and the algorithm’s astringency. The practical engineering examples further demonstrate the proposed method’s engineering applicability. The proposed method, with its simple principle and reliable results, can be widely used in slope design and landside treatment.