以极限状态坡作为输入坡型,将陕西黄土地区公路勘察中实测的粘聚力和内摩擦角作为主要随机变量参考值,采用Monte-Carlo法抽样,简化Bishop法公式作为控制方程,对陕西地区3个地段的黄土高边坡进行了可靠度模拟,获得黄土高边坡的失效概率与可靠指标。经过对参数变异性与失效概率关系的系统分析,并考虑陕西地区黄土强度参数变异系数的分布特点和工程可接受水平,提出了陕西地区黄土路堑高边坡可靠度设计标准。结果表明:对于高速公路和一级公路,设计失效概率为7%-10%,相应可靠指标为1.28-1.48;对于二级及二级以下公路,设计失效概率为14%-16%,相应可靠指标为0.99-1.08。
The critical loess slopes along the highways were the inputted form of slopes and measured values of cohesions and internal friction angles were the reference values of random variants.Monte-Carlo method was used to choose samples and the formula of the Bishop simplified method was regarded as control equation.The reliabilities of the loess high slopes in three positions of Shaanxi Province were simulated.Failure probability and reliability index were obtained.According to system analysis of relation between parameter variation and failure probability,considering distribution character of variation coefficient of strength parameter for loess in Shaanxi and acceptable level of engineering,design standard of reliability of loess cutting high slopes was proposed.The results show that design failure probability is 7% to 10% and corresponding reliability index is 1.28 to 1.48 for expressway and the first grade highway;For the second grade highway and the lower one,the failure probability is 14% to 16% and the corresponding reliability index is 0.99 to 1.08.