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为准确计算地面超载下的水平附加应力在深度方向上的扩散,以集中力作用于地表时布辛奈斯克(Boussinesq)水平附加应力解的改进形式为基础,推导了矩形面积上均布超载作用及三角形分布荷载作用下水平附加应力的解析解。采用叠加原理,可以解得任意大小矩形面积上的均布超载、三角形分布荷载、梯形分布荷载等荷载作用时地基土体下任意深度的水平附加压力。最后通过案例进行对比,验证了本文推导解析解的正确性,本文所推导的解析解具有较高的实用价值。
In order to accurately calculate the diffusion of horizontal additional stress in the depth direction under the ground overloading, based on the improved form of additional stress solution at the Boussinesq level when the concentrated force acts on the surface, the uniform overloading effect on the rectangular area is deduced Analytical Solution of Horizontal Additional Stress under Triangle Distributed Load. Adopting the principle of superposition, the horizontal additional pressure can be obtained at any depth under the foundation soil under the loads of uniform distribution, triangular distribution and trapezoidal distribution on any rectangular area of any size. Finally, the case comparison shows that the analytic solution is correct in this paper. The analytic solution derived in this paper has high practical value.