Simple method for calculating slope stability of arbitrary slip surface
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摘要: 摈弃传统法对条间力力的三要素进行单要素假定,对条间力进行全要素变换,用过土条滑弧底部中点曲率中心的径向与切向正交力等效地代替条间力,建立等效条间力系;从3个基本平衡方程入手,从一个新的角度建立了一套极限平衡公式,提出了条间力函数简捷表达式,得出了竖向条分法边坡稳定安全系数象瑞典法一样简单的简捷表达式。该法适用于任意滑裂面,稳定安全系数及条间力计算公式简便,其操作、计算与瑞典法一样简单,精度与各高精度法一致,不需试算,不存在不收敛而失效状况,便于excel中运算。算例与Lossap2009中各传统方法进行了对比。Abstract: The traditional method with a single factor assumed in the three elements of the interslice force is abandoned, and the full elements of the interslice force are rearranged. The orthogonal force at the curature center of bottom midpoint of ship circle is equivalent to substitute the interslice force. The equivalent interslice force systems are established. From three basic balance equations, a limit balance formula is established, and a simple expression for interslice force function is proposed. A simple expression for vertical slice method for safety factor of slope stability similar to the Sweden method is obtained. This method is applicable to arbitrary slip surface. The formula for safety factor of stability and inter slice force are simple. Its operation and calculation are as simple as the Swedish method. Its accuracy is consistent with those of various high-precision methods. It does not need a trial and has no failure situation because of no convergence condition and is easy to compute in excel. The computed results of an example are compared with those by various traditional methods of Lossap2009.
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