Prediction of Vertical Ultimate Bearing Capacity in Piles Based on the Improved Hyperbolic Model


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Vertical static load test is widely used in the determination of pile bearing capacity, the mathematical model used to fit test pile data in determining the bearing capacity is essential. From the perspective of analytic geometry, the paper analyzes the traditional method of hyperbola, of which the asymptotic line of equilateral hyperbola was used to determine the ultimate bearing capacity. By extending the equal-axed conditions, a more general form of hyperbolic equation is derived and feasibility of such method is also analyzed, which indicates that the maximum point of curvature in such hyperbolic curve can determine the ultimate bearing capacity and such method is proved to be reasonable in practical projects.



Advanced Materials Research (Volumes 250-253)

Edited by:

Guangfan Li, Yong Huang and Chaohe Chen




C. Wang and Q. Zhang, "Prediction of Vertical Ultimate Bearing Capacity in Piles Based on the Improved Hyperbolic Model", Advanced Materials Research, Vols. 250-253, pp. 2271-2275, 2011

Online since:

May 2011





[1] W.G.K. FLEMING. A new method for single pile settlement prediction and analysis. Geotechnique, 1992, 42(31): 411-425.

[2] YANG Yuwen. Timation of ultimate bearing capacity of single pile with golden section. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(2): 3577-3584. (in Chinese).

[3] F. K. CHIN. Estimation of the ultimate load of piles from tests not carried to failure, Proceedings of the 2nd Southeast Asian Conference on Soil Engineering. Singapore: [s. n. ], 1970: 81-92.

[4] FELLENIUS B. H. FELLENIUS. The analysis of results from routine pile load tests. Ground Engineering, 1980, 13(6): 19-31.

[5] GAO Xiaojuan, ZHU Xiangrong. Forecasting ultimate bearing capacity of single squeezed branch pile by hyperbola method [J]. Rock and Soil Mechanics, 2006, 27(9): 1596. (in Chinese).

[6] ZHAO Chunfeng, LI Shangfei, LU Jia, et al. Analysis of fitting loading-settlement curves of single piles by integrated exponential function. Journal of Tongji University (natural science) , 2010, 38(4): 486-492. (in Chinese).

[7] The National Standards Compilation Group of People's Republic of China. GB50007-2002 Code for design of building foundation. Beijing: China Architecture and Building Press, 2002. (in Chinese).

[8] ZHANG Weiwen, LU Zhihua, CHENG Chong. Determination of ultimate bearing capacity of individual piles. Journal of Guilin University of Technology, 2006, 26(3): 370-373.

[9] YANG Yuwen, LUO Kun. The shaft resistances of long cast-in-place piles and the two-building settlement comparison. Chinese Journal of Rock Mechanical and Engineering, 2008, 27(6): 1260- 1269. (in Chinese).

[10] WANG Wei-ming, GU Xiao-lu. Predict the Ultimate Bearing Capacity of Bored Pile by Hyperbola Method[M]. BeiJing:China Architecture & Building Press, (1998).

[11] ZHAO Minghua, HU Zhiqing. Prediction of Ultimate Bearing Capacity of Test Pile by Hyperbola Method[J] Building Structure, 1995, (3): 48-53. (in Chinese).

[12] Francesco Castelli, Michele Maugeri. Simplified Nonlinear Analysis for Settlement Prediction of Pile Groups[J]. Journal of Geotechnical and Geo-environmental Engineering, 2002: 76-84.


[13] JIANG Jian-ping. Bearing Capacity of Large Diameter Bored Pile [M]. Shanghai:Shanghai Jiao Tong University Press, (2007).