岩坡平面滑动时的临界倾角研究及其应用

A study of the critical inclination in rock slope with plane sliding and its application

当岩坡中的结构面情况不明确时,可以将临界倾角对应的面作为滑面来分析边坡的平面滑动稳定性。文中采用解析计算给出了最简单边坡、考虑地震影响下的边坡以及考虑张裂隙和静水压力的边坡的临界倾角解析解。考虑实际工程往往会给定设计安全系数,通过联立安全系数和临界倾角的两个方程,可以反解出边坡坡角,这对岩质边坡总体坡率设计具有一定的指导意义。在此基础上,对已有的Hoek公式进行了改进,提出了当已知设计安全系数和坡高时计算临界倾角的简单算法,更有助于工程应用。

When the structure plane of slope is not clear,the surface corresponding to the critical inclination is often treated as a slip surface in the stability analysis of plane sliding. The analytical solutions of the critical inclination for three kinds of rock slope models,including the basic model,the slope considering earthquake and the slope considering tensile crack and hydrostatic pressure,have been proposed in this paper. The design safety factor is always given by engineer in practical slope engineering. The slope angel can be calculated by combining these two equations connected with the safety factor and the critical inclination. This approach is significant in the design of the overall slope ratio. The Hoek＇s formula is also improved in this paper. There is a simple algorithm of the critical inclination for engineering application when the design safety factor and the height of slope are known.