摘要The analytical solution for the ultimate bearing capacity of a circular shallow foundation is studied. The characteristics of existing assumptions, the calculation method, and the yield criterion of the calculation method for the ultimate bearing capacity of a shallow circular foundation are examined. With the assumption that the global shearing deformation surface of the foundation obeys the sliding surface of Prandtl-Reissner's classic theory, the destruction soil under the foundation is an indeformable rigid-plastic body, and the failure surface obeys the Mohr-Coulomb yield criterion. Based on the static equilibrium condition of the rigid-plastic body and considering the frictional resistance part σ tan φ of the failure surface, the theoretical solution for the ultimate bearing capacity of a shallow circular foundation is derived and compared with those of Vesic's semi-empirical equation and other existing analytic equations. Comparison results show that the bearing capacity coefficients Nc and Nq can be increased if the frictional resistance part σ tan φ of the failure surface is considered, but the variation of bearing capacity coefficient with the internal friction angle of soil are different. Furthermore, the presented theoretical solution, which is a revised calculation method for the ultimate bearing capacity of a shallow circular foundation, is similar to those of Vesic's semi-empirical equation and other analytic equations.
Abstract：The analytical solution for the ultimate bearing capacity of a circular shallow foundation is studied. The characteristics of existing assumptions, the calculation method, and the yield criterion of the calculation method for the ultimate bearing capacity of a shallow circular foundation are examined. With the assumption that the global shearing deformation surface of the foundation obeys the sliding surface of Prandtl-Reissner's classic theory, the destruction soil under the foundation is an indeformable rigid-plastic body, and the failure surface obeys the Mohr-Coulomb yield criterion. Based on the static equilibrium condition of the rigid-plastic body and considering the frictional resistance part σ tan φ of the failure surface, the theoretical solution for the ultimate bearing capacity of a shallow circular foundation is derived and compared with those of Vesic's semi-empirical equation and other existing analytic equations. Comparison results show that the bearing capacity coefficients Nc and Nq can be increased if the frictional resistance part σ tan φ of the failure surface is considered, but the variation of bearing capacity coefficient with the internal friction angle of soil are different. Furthermore, the presented theoretical solution, which is a revised calculation method for the ultimate bearing capacity of a shallow circular foundation, is similar to those of Vesic's semi-empirical equation and other analytic equations.
基金资助:Supported by the National Natural Science Foundation of China (No.41072221, No.41202190);the Fundamental Research Funds for the Central Universities (No.2013G3282014)
通讯作者:
HU Zhi-ping, E-mail:huzhping@chd.edu.cn
E-mail: huzhping@chd.edu.cn
引用本文:
胡志平, 王瑞, 夏香波, 王旭, 陈悦. 圆形浅基础地基极限承载力理论公式的改进[J]. Journal of Highway and Transportation Research and Development, 2015, 9(1): 1-7.
HU Zhi-ping, WANG Rui, XIA Xiang-bo, WANG Xu, CHEN Yue. Modifying the Formula of the Ultimate Bearing Capacity of a Shallow Circular Foundation. Journal of Highway and Transportation Research and Development, 2015, 9(1): 1-7.
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2015, Vol. 9 
