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鉴于库伦土压力合力作用点高度的确定目前仍存在诸多争议,基于库伦理论的平面滑裂面假设,采用散粒体极限平衡方程研究了滑裂面上土体反力的分布及合力作用点位置,在此基础上通过建立滑动楔体的整体力矩平衡方程,推导出库伦土压力合力及其作用点高度解析式,分析了墙背倾角、填土坡角、土体内摩擦角及墙土间摩擦角对合力作用点高度的影响,并通过算例进行了验证。结果表明,库伦土压力合力作用点高度解析解考虑了挡墙和填土参数变化时墙后滑动楔体的力和力矩平衡,能够反映出土压力合力作用点高度的变化规律,与实测值相比误差较小,对库伦理论作了必要补充。
In view of the fact that there are still many controversies in the determination of the height of the co-action point of the earth pressure in Coulomb, based on the Coulomb theory of plane slip plane assumption, the distribution of the soil reaction force on the slip surface and the location On this basis, by establishing the integral moment equilibrium equation of sliding wedge body, the resultant force of Coulomb earth pressure and the analytic formula of its action point are deduced. The results of wall back angle, filling slope angle, soil internal friction angle, The effect of friction angle on the height of the resultant force is verified by an example. The results show that the analytical solutions of the coupling points of Coulomb’s earth pressure can take into account the balance of force and moment when the retaining wall and fill parameters change, which can reflect the changing rule of the height of the earth pressure acting point. Compared with the measured values The error is small, which makes the necessary complement to Coulomb’s theory.