摘要The analytical solution for the ultimate bearing capacity of a shallow square 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 the shallow square foundation are examined. The following assumptions are made: (1) the global shearing deformation surface of the foundation follows the sliding surface of Prandtl-Reissner's classic theory, (2) the destruction soil under the foundation is an indeformable rigid-plastic body, and (3) the failure surface satisfies the Mohr-Coulomb yield criterion. Based on the static equilibrium condition of the rigid-plastic body and considering the limit equilibrium of the passive zone, the theoretical solution for the ultimate bearing capacity of the shallow square 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 limit equilibrium of the passive zone is considered, but the variation of the bearing capacity coefficient with the internal friction angle of soil is different. Furthermore, the presented theoretical solution, which is a revised calculation method for the ultimate bearing capacity of the shallow square 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 shallow square 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 the shallow square foundation are examined. The following assumptions are made: (1) the global shearing deformation surface of the foundation follows the sliding surface of Prandtl-Reissner's classic theory, (2) the destruction soil under the foundation is an indeformable rigid-plastic body, and (3) the failure surface satisfies the Mohr-Coulomb yield criterion. Based on the static equilibrium condition of the rigid-plastic body and considering the limit equilibrium of the passive zone, the theoretical solution for the ultimate bearing capacity of the shallow square 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 limit equilibrium of the passive zone is considered, but the variation of the bearing capacity coefficient with the internal friction angle of soil is different. Furthermore, the presented theoretical solution, which is a revised calculation method for the ultimate bearing capacity of the shallow square 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:
WANG Rui, E-mail:316546074@qq.com
E-mail: 316546074@qq.com
引用本文:
王瑞, 胡志平, 夏香波, 王旭, 陈悦. 方形浅基础地基极限承载力公式的改进[J]. Journal of Highway and Transportation Research and Development, 2015, 9(4): 9-15.
WANG Rui, HU Zhi-ping, XIA Xiang-bo, WANG Xu, CHEN Yue. Modifying the Formula of the Ultimate Bearing Capacity of a Shallow Square Foundation. Journal of Highway and Transportation Research and Development, 2015, 9(4): 9-15.
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2015, Vol. 9 
