库伦土压力合力作用点高度解析解  

Analytical Solution of Action Point of Coulomb's Earth Pressure Resultant Force

作　　者：柯才桐[1] 陈奕柏[1] 谢洪波[1] 高洪波[1] 

机构地区：[1]海南大学土木建筑工程学院,海南海口570228

出　　处：《水电能源科学》2014年第5期91-95,共5页Water Resources and Power

基　　金：国家自然科学基金项目(51268010)

摘　　要：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。There are still considerable controversies in using the height of action point of resultant force based on the Coulomb＇s earth pressure theory at present. Based on the sliding plane hypothesis of Coulomb earth pressure theory, the granular mixtures limit equilibrium equation is used to research the reaction force distribution and its action point of slide surface. By establishing the equation of overall moment-equilibrium, the formula of Coulomb＇s earth pressure resultant force and its height of action point are deduced. Meanwhile, the influence of the angle of back wall, the slope angle of backfill, the internal friction angle of soil and the angle of friction between wall and soil have on the height of action point of Coulomb＇s earth pressure resultant force are analyzed, which are proved by examples. The results show that equilibrium of force and moment of sliding wedge with the change of diameters of retaining wall and backfill are taken into consideration in the formula of the height of action point of Coulomb＇s earth pressure resultant force, which can reflect the change regulation of the height of earth pressure action point; the deviation with the experimental value is small. Therefore, it makes an important supplement for Coulomb＇s earth pressure theory.

关 键 词：挡土墙 库伦土压力 合力作用点 力矩平衡 临界破裂角 

分 类 号：TU432[建筑科学—岩土工程]