圆形浅基础地基极限承载力理论公式的改进

doi:10.3969/j.issn.1002-0268.2014.07.001

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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 N_c and N_q 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.

Key words： road engineering theoretical solution for the ultimate bearing capacity of a foundation limit equilibrium method shallow circular foundation Mohr-Coulomb yield criterion

Received: 13 July 2014

Fund:Supported by the National Natural Science Foundation of China (No.41072221, No.41202190);the Fundamental Research Funds for the Central Universities (No.2013G3282014)

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	HU Zhi-ping
	WANG Rui
	XIA Xiang-bo
	WANG Xu
	CHEN Yue

Cite this article:

HU Zhi-ping,WANG Rui,XIA Xiang-bo, et al. Modifying the Formula of the Ultimate Bearing Capacity of a Shallow Circular Foundation[J]. Journal of Highway and Transportation Research and Development, 2015, 9(1): 1-7.

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http://manu27.magtech.com.cn/Jwk_gljtkj_en/EN/10.3969/j.issn.1002-0268.2014.07.001 OR http://manu27.magtech.com.cn/Jwk_gljtkj_en/EN/Y2015/V9/I1/1

[1] MICHALOWSKI R L. Upper-bound Load Estimates on Square and Rectangular Footings[J]. Geotechnique, 2001, 51(9):787-798.
[2] HANSEN J B. A Revised and Extended Formula for Bearing Capacity[J]. Danish Geotechnical Institute Bulletin, 1970, 28:5-11.
[3] SARMA S K, IOSSIFELIS I S. Seismic Bearing Capacity Factors of Shallow Strip Footings[J]. Geotechnique, 1990,40(2):265-273.
[4] LI Liang, YANG Xiao-li. Analytical Solution of Bearing Capacity of Circular Shallow Foundations Using Upper Bound Theorem of Limit Analysis[J]. Journal of the China Railway Society, 2001,23(1):94-97. (in Chinese)
[5] ZHANG Guo-xiang, FU Jiang-shan. Upper Bound Load for Bearing Capacity of Circular Shallow Foundation Based on Limit Analysis[J]. Rock and Soil Mechanics, 2010, 31(12):3849-3854. (in Chinese)
[6] JIANG Yi-ping, XIONG Ju-hua. Analysis of Ultimate Bearing Capacity of Square and Circular Foundations[J]. Rock and Soil Mechanics, 2005, 26(12):1991-1995. (in Chinese)
[7] GRIFFITHS D V. Computation of Bearing Capacity Factors Using Finite Elements[J]. Geotechnique, 1982, 32(3):195-202.
[8] WOODWARD P K, GRIFFITHS D V. Observations on the Computation of the Capacity Factor Nr by Finite Elements[J]. Geotechnique, 1998, 48(1):137-141.
[9] MANOHARAN N, DASGUPTA S P. Bearing Capacity of Surface Footings by Finite Elements[J]. Computers & Structures, 1995, 54(4):563-586.
[10] FRYDMAN S, BURD H J. Numerical Studies of Bearing Capacity Factor Nr[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(1):20-29.
[11] HUANG Qi-wu, JIA Cang-qin. 3D Analysis of Ultimate Bearing Capacity by Numerical Limit Analysis[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(12):1809-1814. (in Chinese)
[12] FAN Wen, BAI Xiao-yu, YU Mao-hong. Formula of Ultimate Bearing Capacity of Shallow Foundation Based on Unified Strength Theory[J]. Rock and Soil Mechanics, 2005, 26(10):1617-1622. (in Chinese)
[13] GAO Jiang-ping, YU Mao-hong, LI Si-ping. Double-shear Unified Solution of Terzaghi Ultimate Bearing Capacity of Foundation[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(15):2736-2740. (in Chinese)
[14] ZHOU Xiao-ping, HUANG Yu-bin, DING Zhi-cheng. Influence of Intermediate Principal Stress on the Formula of TERZAGHI Ultimate Bearing Capacity of Foundations[J].Chinese Journal of Rock Mechanics and Engineering, 2002, 21(10):1554-1556. (in Chinese)
[15] TERZAGHI K, PECK R B. Soil Mechanics in Engineering Practice[M]. New York:Wiley John, 1948.
[16] MEYERHOF G G. The Ultimate Bearing Capacity of Foundations[J]. Geotechnique, 1951, 2(4):301-332.
[17] VESIC A S. Analysis of Ultimate Load on Shallow Foundations[J]. International Journal of Rock Mechanics and Mining Science, 1973, 99(1):565-582.
[18] ZHOU Zhong, FU He-lin, LI Liang. Theoretical Solution of Bearing Capacity of Shallow Circular Foundation[J]. Journal of Changsha Railway University, 2002, 20(3):1-4. (in Chinese)
[19] LI Wei, XIONG Ju-hua, YANG Min. Theoretical Solution of Ultimate Bearing Capacity of Soil under Shallow Square Foundation[J]. Journal of Tongji University:Natural Science, 2004, 32(10):1325-1327. (in Chinese)
[20] WANG Zhe, WANG Guo-cai, CHEN Yu, et al. Theoretical Solution of Ultimate Bearing Capacity of Foundations under Shallow Rectangular Footings[J]. Rock and Soil Mechanics, 2008, 29(4):1001-1005. (in Chinese)
[21] ZHU Xiao-jun, XIONG Ju-hua. Theoretical Solution of Ultimate Bearing Capacity of Soil under Shallow Rectangle Foundation[J].Chinese Journal of Geotechnical Engineering, 2011, 33(S1):415-419. (in Chinese)