中文摘要：

基于滑面正应力假定,可以很方便地得到给定滑动面的安全系数,但不同的滑面正应力假定对结果的影响值得研究。本文通过随机模拟方法,给出了不同滑面正应力假定下安全系数的分布,并对给定的多个滑动面,经计算比较了该方法与不平衡推力法的误差大小。分析结果表明：给定滑动面愈接近临界滑动面,其结果误差愈小;对任意给定的滑动面,误差可高达900%以上。

英文摘要：

The factor of safety for given slip surface can be obtained easily by assuming the normal stress along the slip surface base and solving the statistic equilibrium equations for the whole sliding body. This method is characterized by no iteration and easy convergence. However, the effect of different assumptions of normal stress on the results of given slip surface has not been reported. The stochastic method is used in this paper to generate different assumptions of normal stress along the slip surface base, and the results related to different assumptions can be calculated. It can be summarized that the nearer to the critical slip surface, the smaller the difference. For some slip surfaces, the difference can be up to 900%.