地面超载作用下水平附加应力解析解  

Analytical Solution of Horizontal Additional Stress Due to Ground Overloading

作　　者：穆保岗[1] 冯超元 

机构地区：[1]东南大学土木工程学院,南京210096 [2]中国中铁工程装备集团有限公司地下空间设计研究院,郑州450016

出　　处：《特种结构》2017年第4期18-23,共6页Special Structures

基　　金：973计划资助项目(2013CB036304)

摘　　要：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 calculate the horizontal additional stress accurately in the depth direction due to the ground overload level, based on the improved solution of Boussinesq＇ s horizontal additional stress when concen- trated force is applied on the ground surface, analytical solutions to lateral additional stress under uniform loads and triangular distribution loading with the forms of rectangular plane were deduced. Combined with the princi- ple of superposition and above analytical solutions, horizontal pressure at any depth of foundation can be ob- tained when uniform overloading, triangular distribution loading and trapezoidal distributed loads was applied on any size of rectangular plane. Finally, one case was used to verify the correctness of these analytical solutions. The results indicated that the theoretical solutions are correct and the present approaches are applicable in engi- neering practice.

关 键 词：地面超载 水平附加应力 叠加原理 解析解 

分 类 号：TU432[建筑科学—岩土工程]