复杂工况下三维地基极限承载力可靠度研究之一

基于三维空间分析，采用极限分析法上限原理，推导了矩形基础地基极限承载力的三维解析解，综合考虑了偏心倾斜外荷载、埋深、超载等因子对地基土体滑动模式和地基承载力的影响；并应用工程实例进行了对比分析；利用三维解析解通过简便计算可得到相应参数，进而求得地基极限承载力，可方便应用于工程设计。

Three dimensional Analytic Solution for Ultimate Bearing Capacity of Ground under Complicated Loading Conditions

On basis of the three dimensional spatial analysis, the article deduces the three dimensional analytic solution for the ultimate bearing capacity of the ground of the rectangular foundations by means of the upper bound principle of the limit analysis method, comprehensively taking into account the influences on the sliding mode and bearing capacity of the ground imposed by such factors as the asymmetric loads, cover depth and overload. The result of the study is applied in an engineering case and comparisons and analysis are made. On basis of the three dimensional analytic solution, the relevant parameters can be obtained by means of simple calculations, thus the ultimate bearing capacity of the ground can be gained. The result of the study can easily be applied in the engineering designs.