Technical Notes
Jun 15, 2017

Shape Effect of Square and Circular Footing under Vertical Loading: Experimental and Numerical Studies

Publication: International Journal of Geomechanics
Volume 17, Issue 9

Abstract

In this study, three-dimensional finite-element models incorporating a Mohr-Coulomb elastoplastic material model were validated for the evaluation of the shape effect of square and circular surface footings under vertical loading in c-ϕ soil. The numerical models were found to closely predict experimental load-settlement relationships. The shape effect was also investigated in relation to the progressive failure around the foundations and the shape of the failure mechanism inside the soil. With detailed parametric studies, the shape factors of square and circular surface footings can be fitted by simple functions of the soil friction angle and footing embedment depth.

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References

Abaqus [Computer software]. SIMULIA, Providence, RI.
ASTM. (1998). “Standard test method for bearing capacity of soil for static load and spread footings.” D1194-94, West Conshohocken, PA.
Azzam, W. R., and Wakil, A. Z. (2016). “Experimental and numerical studies of circular footing resting on confined granular subgrade adjacent to slope.” Int. J. Geomech., 04015028.
Cerato, A. B., and Lutenegger, A. J. (2006). “Bearing capacity of square and circular footings on a finite layer of granular soil underlain by a rigid base.” J. Geotech. Geoenviron. Eng., 1496–1501.
Cerato, A. B., and Lutenegger, A. J. (2007). “Scale effects of shallow foundation bearing capacity on granular material.” J. Geotech. Geoenviron. Eng., 1192–1202.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Amsterdam, Netherlands.
De Beer, E. E. (1970). “Experimental determination of the shape factors and the bearing capacity factors of sand.” Géotechnique, 20(4), 387–411.
Golder, H. Q., Fellenius, W., Kogler, F., Meischeider, H., Krey, H., and Prandtl, L. (1941). “The ultimate bearing pressure of rectangular footings.” J. Inst. Civ. Eng., 17(2), 161–174.
Hansen, J. B. (1970). “A revised and extended formula for bearing capacity.” Danish Geotech. Inst. Bull., 28, 5–11.
Kiran, M., and Bacha, N. (2015). “An experimental study on behaviour of bearing capacity and settlement of circular and square footing resting on reinforced sand bed stratified with lateritic soil.” Int. J. Eng. Res. Technol., 4(6).
Kumar, J., and Khatri, V. N. (2011). “Bearing capacity factors of circular foundations for a general cϕ soil using lower bound finite elements limit analysis.” Int. J. Numer. Anal. Methods Geomech., 35(3), 393–405.
Lavasan, A. A., and Ghazavi, M. (2012). “Behavior of closely spaced square and circular footings on reinforced sand.” Soils Found., 52(1), 160–167.
Lee, J., and Salgado, R. (2005). “Estimation of bearing capacity of circular footings on sands based on cone penetration test.” J. Geotechn. Geoenviron. Eng., 442–452.
Loukidis, D., and Salgado, R. (2009). “Bearing capacity of strip and circular footings in sand using finite elements.” Comput. Geotech., 36(5), 871–879.
Ma, Z.-Y., Liao, H.-J., and Dang, F.-N. (2014). “Influence of intermediate principal stress on the bearing capacity of strip and circular footings.” J. Eng. Mech., 04014041.
Merifield, R. S., and Nguyen, V. Q. (2006). “Two-and three-dimensional bearing-capacity solutions for footings on two-layered clays.” Geomech. Geoeng., 1(2), 151–162.
Meyerhof, G. G. (1963). “Some recent research on the bearing capacity of foundations.” Can. Geotech. J., 1(1), 16–26.
Pathak, S. R., Kamat, S. N., and Phatak, D. R. (2008). “Study of behaviour of square and rectangular footings resting on cohesive soils based on model tests.” Proc., 6th Int. Conf. on Case Histories in Geotechnical Engineering, Missouri Univ. of Science and Technology, Rolla, MO.
Prandtl, L. (1920). “Über die härte plastischer körper.” Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, 74–85.
Reissner, H. (1924). “Zum erddruckproblem.” Proc., 1st Int. Congress for Applied Mechanics, Delft, Netherlands, 295–311.
Rui, W., Zhi-ping, H., Xiang-bo, X., Xu, W., and Yue, C. (2015). “Modifying the formula of the ultimate bearing capacity of a shallow square foundation.” J. Highway Transp. Res. Dev. (English Ed.), 9–15.
Terzaghi, K. (1943). Theoretical soil mechanics, Wiley, New York.
Vesic, A. S. (1973). “Analysis of ultimate loads of shallow foundations.” J. Soil Mech. Found. Div., 99(1), 45–73.
Yu, L., Liu, J., Kong, X.-J., and Hu, Y. (2011). “Three-dimensional large deformation FE analysis of square footings in two-layered clays.” J. Geotechn. Geoenviron. Eng., 52–58.
Zhu, M., and Michalowski, R. L. (2005). “Shape factors for limit loads on square and rectangular footings.” J. Geotechnical Geoenviron. Eng., 223–231.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 9September 2017

History

Received: Jun 3, 2016
Accepted: Mar 15, 2017
Published online: Jun 15, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 15, 2017

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Authors

Affiliations

M. Shafiqul Islam [email protected]
Lecturer, Dept. of Civil Engineering, Khulna Univ. of Engineering and Technology, Khulna 920300, Bangladesh (corresponding author). E-mail: [email protected]
M. Rokonuzzaman [email protected]
Professor, Dept. of Civil Engineering, Khulna Univ. of Engineering and Technology, Khulna 920300, Bangladesh. E-mail: [email protected]
Professor, Dept. of Environmental Science and Technology, Graduate School of Bioresources, Mie Univ., 1577 Kurimamachiya, Tsu, Mie 514-8507, Japan. E-mail: [email protected]

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