红砂岩路堑边坡圆弧型滑动破坏的概率分析

Probability Analysis of Sliding Damage for Circular Surface of Red Sandstone Slope

通过对某高速公路路堑边坡泥质红砂岩抗剪强度指标的数字统计发现 ,其值服从正态分布规律 ,并求出抗剪强度指标的正态分布函数。然后在论述概率密度和破坏概率的定义后 ,推导圆弧型滑动精确解的破坏概率计算公式 ,最后结合一公路路堑边坡的分析实例 ,在计算最小安全系数的同时 。

Statistical analysis for the intact rock about the road slopes of an expressway shows that the shear strength of red sandstone is found to obey to the normal distribution. The normal distribution function is worked out to get shear strength indicator After the investigation of the definition for density of probability and the probability of failure,we have derivated the calculating formula of the accurate probability of failure for circular sliding surface At last the practical examples of the expressway slopes are presented and the minimum safety factor and the value of probability of failure are calculated