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针对墙背倾斜、地表倾斜、墙后填土为粘性土、地表作用超载的挡土墙土压力计算问题,基于平面滑裂面假定和极限平衡原理,结合微分层解析法和图解法,推导了挡土墙主动土压力和被动土压力的统一解,可计算土压力沿墙身的分布、土压力合力及其作用点位置以及滑裂面土反力,经典库仑和朗肯土压力为其特例.提出了分层土土压力实用计算模型,可以考虑墙背倾斜和粘性土的作用,该模型可简化为现行以朗肯土压力理论为基础的分层土土压力计算方法.通过与相关文献算法的比较验证了本文方法的合理性.
Aiming at the problem of earth pressure calculation of retaining wall with inclination of back wall, inclination of earth surface and clay filling behind wall, the earth surface is overloaded, based on the theory of plane slip plane and the principle of limit equilibrium, The unified solution of active earth pressure and passive earth pressure on retaining wall can be used to calculate the distribution of earth pressure along the wall, the resultant of earth pressure and its action point, and the earth reaction force of slip surface, and the classical Coulomb and Rankine earth pressure are special cases The practical calculation model of stratified soil pressure is put forward, which can consider the effect of back slope and cohesive soil, which can be simplified into the existing stratified earth pressure calculation method based on Rankine earth pressure theory. The comparison of algorithms verifies the rationality of this method.