一种包含库仑和朗肯理论的土压力计算方法

基于库仑理论的平面滑裂面假设,考虑滑裂面上填土黏聚力及填土与挡土墙墙背接触面上的黏着力,推导出了黏性土或无黏性土的土压力关于破裂面倾角的计算表达式,并在经典朗肯和库仑土压力条件下,将公式退化对比,表明此方法涵盖了经典朗肯和库仑土压力理论.运用计算机程序绘制了土压力关于滑裂面倾角的函数图,可以容易地确定土压力的极限值,并求得相应的滑裂面倾角.通过算例比较各类土压力方法的计算结果,表明本文方法应用范围广,精度可靠,易于在工程中推广应用.

Generic algorithm for earth pressure involving Coulomb and Rankine pressure theory

Based on the sliding plane hypothesis of Coulumb’s earth pressure theory, a formula was derived for the calculation of passive earth pressure of cohesive or non cohesive backfill soils with the consideration of the cohesion force on the sliding plane and the adhesive force on the interface of soil and retaining wall. The formula can be degenerated to Coulomb’s and Rankine’s earth pressure expressions. Results show that the Coulomb’s and Rankine’s earth pressure theory are the special case of the present solution. A group of graphs about the earth pressure and the slope angle of sliding plane were drawn by the computer program. The limiting value of the earth pressure and the slope angle of sliding plane can be determined from the corresponding graphs. Numerical results showed that the method was feasible, reliable and easily applied in engineering practice.