Technical Papers
Feb 4, 2014

Influence of Intermediate Principal Stress on the Bearing Capacity of Strip and Circular Footings

Publication: Journal of Engineering Mechanics
Volume 140, Issue 7

Abstract

Studies of the bearing capacity of footings usually do not take into account the effect of the intermediate principal stress. In practice, the intermediate principal stress has certain influences on the strength of geomaterials (e.g., rock and soil) or concrete. This paper focuses on a numerical study using the finite-difference code Fast Lagrangian Analysis of Continua (FLAC) and the united strength theory (UST) to investigate the influence of the intermediate principal stress on the bearing capacity of strip and circular footings. A series of numerical solutions are presented to determine the vertical bearing capacity of strip and circular footings using an elastic–perfectly plastic constitutive model following UST and the associative flow rule. First, the bearing capacity of flexible and strip footings according to UST and other criteria are compared. Second, three bearing capacity factors (Nc, Nq, and Nγ) are evaluated for strip and circular footings subjected to centered vertical loads with rough interfaces. A certain influence of the intermediate principal stress on the bearing capacity of strip and circular footings was detected based on UST and the associative flow rule. It was found that the intermediate principal stress has more influence on the bearing capacity of a strip footing than the bearing capacity of a circular footing. It was also found that the bearing capacity factor Nγ is more significantly influenced by the intermediate principal stress than are the factors Nc and Nq. The influence of the intermediate principal stress on three bearing capacity factors for strip and circular footings analyzed in this paper has been obtained using the elastic–perfectly plastic constitutive model based on UST.

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Acknowledgments

The research was funded by the National Nature Science Foundation of China (Nos. 41172276 and 51279155) and central financial funds for the development of characteristic key disciplines in local universities (Nos. 106-00X101 and 106-5X1205). The first author expresses gratitude to Professor Mao-Hong Yu of Xi’an Jiaotong University of the People’s Republic of China. Discussions with Professor Yu were of great help and value.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 7July 2014

History

Received: Dec 15, 2011
Accepted: Dec 6, 2013
Published online: Feb 4, 2014
Published in print: Jul 1, 2014
Discussion open until: Jul 4, 2014

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Zong-Yuan Ma, Aff.M.ASCE [email protected]
Lecturer, School of Civil Engineering and Architecture, Xi’an Univ. of Technology, 5 South Jinhua Rd., Xi’an, Shaanxi 710048, P. R. China (corresponding author). E-mail: [email protected]
Hong-Jian Liao [email protected]
Professor, Dept. of Civil Engineering, Xi’an Jiaotong Univ., 28 Xianning West Rd., Xi’an, Shaanxi 710049, P. R. China. E-mail: [email protected]
Fa-Ning Dang [email protected]
Professor, School of Civil Engineering and Architecture, Xi’an Univ. of Technology, 5 South Jinhua Rd., Xi’an, Shaanxi 710048, P. R. China. E-mail: [email protected]

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