条形基础极限承载力数值分析

根据塑性力学滑移线理论，推导了条形地基在极限平衡状态下的平衡微分方程，然后利用有限差分法推出地基土在极限状态时的有限差分公式，结合边界条件编制出地基承载力计算程序，该程序求解条形地基极限状态下的滑移线区域及相应的地基极限承载力值时可以考虑基础埋深、地基土重度、土的内摩擦角、基础与地基摩擦等参数。利用程序，得到了土的内摩擦角与地基承载力系数N? 的对应表，并全面讨论了基础埋深、地基土重度、内摩擦角及基础与地基摩擦角等参数对地基承载力和滑移线形状的影响，得到了一些有意义的结论。

Numerical analysis of bearing capacity of a foundation under strip footing

Based on the slip-line in plastic mechanics, equilibrium differential equations of a foundation in limit equilibrium state under a strip footing are deduced. using the finite-difference method, the finite difference formula in limit equilibrium state is given. Combining with the boundary conditions, a program for computing the bearing capacity is written that can compute the slip-line field and the corresponding bearing capacity considering the depth of embedment, the unit weight, the internal frictional angle and the roughness of the foundation at the same time. The calculating results of the bearing capacity factor Nγ are shown with the change of the internal frictional angle. The influences of the depth of embedment, the unit weight, the internal frictional angle and the roughness of the foundation on the shape of slip lines and the bearing capacity, are generally discussed; and some valuable conclusions are drawn.