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本文以常规圆弧滑动面法土坡稳定计算公式为基础,采用概率论和数理统计理论,探讨了影响土坡稳定性的各项随机应变量指标的期望和方差的表达式。用正态概率分布函数的蒙特卡洛法,计算了土坡破坏概率Pr,给出了土坡安全可靠度设计指标pr,最后以一个实际的深基坑土坡工程为例。进行了概率方法的稳定性研究。
In this paper, based on the general circular sliding surface method for calculating the stability of soil slopes, the theory of probability and mathematical statistics are used to discuss the expressions of expectation and variance of various random variables influencing the stability of soil slope. Using Monte Carlo method with normal probability distribution function, the probability of soil slope failure Pr is calculated, and the design index pr of safety reliability of soil slope is given. Finally, an actual deep foundation pit slope engineering is taken as an example. A stability study of the probability method was performed.