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摘要:
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基于空间曲面上一点的应力分析,得出了曲面上一点的法向应力、剪应力与应力分量、曲面一阶偏导数的关系。建立了曲面至地基表面土柱上力的微分平衡方程、力的平衡方程、力矩平衡方程。以上方程和库仑屈服条件一起,构成了地基极限承载力问题普遍适用的基本方程。采用与二维条件的简化Bishop法类似假定,对矩形基础地基承载力的计算问题进行了探讨。算例表明,文中方法计算结果是合理的,为研究三维条件的地基极限承载力提供了一套方法。
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Based on stress analysis on one point of space curved surface,the relationships between the normal stress,shear stress,stress components,and first-order partial derivative of the point are obtained;the differential balance equation,force balance equation and moment balance equation of the force on column between space curved surface and foundation surface are established;together with the coulomb yield conditions,the basic equation,which is universally applicable to the foundation limit bearing capacity problems,is constituted.Using suppose that is similar with the simplified Bishop method about two-dimensional problems to discuss the calculation problems of rectangular based foundation limit bearing capacity.The numerical examples indicate that the method in this paper to calculate is reasonable.It provide a set of method for 3-d foundation problems of foundation limit bearing capacity.
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参考文献:
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