有限土体主动土压力计算方法探讨

基于库伦理论的平面滑裂面假设及极限平衡理论,假定有限土体水平,支护结构垂直,再依据有限土体的宽度b₀(支护结构与已有建筑的距离)与三角滑动楔体之间的宽度b之间的相对关系推导了改进的主动土压力计算公式.分析外摩擦角和支护结构与土体之间的黏着力对滑动土体破裂角以及主动土压力的影响,并提出广义主动土压力系数观点.通过算例对比,结果表明本次提出的计算公式更接近实际,考虑外摩擦角和黏着力的作用有利于节约成本.

Discussion on calculation method of active earth pressure for limited soils

Based on the sliding plane hypothesis of Coulomb’s earth pressure theory and the limit equilibrium theory, a modified formulation for active earth pressure is derived according to the relationship between limited soils’ width b₀ (a distance between a supporting structure and an existing building) and triangular sliding wedge’s width b. Assumptions of formulation are that the limited soil is in horizontal and the support structure is in vertical. In addition, the formulation takes into account not only the adhesion between the supporting structure and soils but also the cohesion between the static soils and sliding soils. It is then analyzed that the impact of the external friction angle as well as the adhesion between the supporting structure and soils on the sliding soil mass’ cracking angle (failure angle of sliding soils) and active earth pressure. A viewpointabout generalized active earth pressure coefficient is also put forward in this paper. All results gaining from our calculated examples show that the formulation becomes more effective in practices. Evidently, taking the impact of the external friction angle into account in the formulation will reduce cost indeed.