Bearing Capacity of Circular Footings
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 128, Issue 1
Abstract
Numerical computations using FLAC are reported to evaluate the soil-bearing capacity for circular smooth and rough footings. The effect of nonassociativity of the soil is investigated. The results indicate a decrease in the bearing capacity-factors value when the soil displays high nonassociativity. The bearing capacity factors obtained from the computations are significantly lower than those reported by Bolton and Lau in 1993. The results compare favorably with experimental data reported by de Beer in 1970. The sources of possible inaccuracies in numerical simulations are discussed.
Get full access to this article
View all available purchase options and get full access to this article.
References
Berezanthzev, V. G.(1948). “Limit equilibrium of a medium with internal friction and cohesion in axisymmetric stress state.” Prikl. Mat. Mekh., 12, 95–100 (in Russian).
Bolton, M. D., and Lau, C. K.(1993). “Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil.” Can. Geotech. J., 30, 1024–1033.
Caquot, A., and Kerisel, L. (1949). Traité de Mécanique des sols, Gauthier-Villars, Paris (in French).
Chen, W. F. (1975). Limit Analysis and Soil Plasticity, Elsevier, Amsterdam.
Cox, A. D.(1962). “Axially symmetric plastic deformation in soils-II-indentation of ponderable soils.” Int. J. Mech. Sci., 4, 371–380.
Cox, A. D. (1963). “The use of non-associated flow rules in soil plasticity.” Royal Armament Research and Development Establishment, Rep. B, 2/63.
Cox, A. D., Eason, G., and Hopkins, H. G.(1961). “Axially symmetric plastic deformations in soils.” Philos. Trans. R. Soc. London, Ser. A, 1036, 1–45.
Davis, E. H. (1968). “Theories of plasticity and the failure of soil masses.” Soil mechanics: selected topics, Lee, I. K., ed., 341–380, Butterworths, London.
de Beer, E. E.(1970). “Experimental determination of the shape factors and the bearing capacity factors of sand.” Geotechnique, 20, 387–411.
de Borst, R., and Vermeer, P. A.(1984). “Possibilities and limitations of finite elements for limit analysis.” Geotechnique, 34, 199–210.
Drescher, A., and Detournay, E.(1993). “Limit load in translational failure mechanisms for associative and non-associative materials.” Geotechnique, 43, 443–456.
Eason, G., and Shield, R. T.(1960). “The plastic indentation of a semi-infinite solid by a perfectly rough circular punch.” Z. Angew. Math. Phys., 11, 33–43.
FLAC—Fast Lagrangian Analysis of Continua. (1986). ITASCA Consulting Group, Inc., Minneapolis.
FLAC-Fast Lagrangian Analysis of Continua, version 4.0. (2000). ITASCA Consulting Group, Inc., Minneapolis.
Frydman, S., and Burd, H. J.(1997). “Numerical studies of bearing-capacity factor ” J. Geotech. Geoenviron. Eng., 123(1), 20–29.
Garber, M., and Baker, R.(1977). “Bearing capacity by variational method.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 103(11), 1209–1225.
Griffiths, D. V.(1982). “Computation of bearing capacity factors using finite elements.” Geotechnique, 32, 195–202.
Hansen, B. J. (1961). “A general formula for bearing capacity.” Bull. Geot. Inst. No. 11.
Meyerhof, G. G.(1963). “Some recent research on the bearing capacity of foundations.” Can. Geotech. J., 1, 16–26.
Michalowski, R. L.(1997). “An estimate of the influence of soil weight on bearing capacity using limit analysis.” Soils Found., 37, 57–64.
Michalowski, R. L., and Shi, L.(1995). “Bearing capacity of footings over two-layer foundation soils.” J. Geotech. Geoenviron. Eng., 121(5), 421–428.
Prandtl, L. (1920). “Über die Härte plastischer Körper.” Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl., 74–85.
Reissner, H. (1926). “Zum Erddruckproblem.” Proc., 1st Int. Congr. Appl. Mech., C. B. Biezeno and J. M. Burgers, eds., Delft, 295–311.
Shield, R. T.(1955). “On the plastic flow of metals under conditions of axial symmetry.” Proc. R. Soc. London, Ser. A, 233, 267–287.
Sloan, S. W.(1988). “Lower bound limit analysis using finite elements and linear programming.” Int. J. Numer. Analyt. Meth. Geomech., 12, 61–77.
Sokolovskii, V. V. (1960). Statics of soil media. Butterworths, London (translation from the 1942 Russian edition).
Terzaghi, K. (1943). Theoretical soil mechanics, Wiley, New York.
van Langen, H., and Vermeer, P. A.(1991). “Interface elements for singular plasticity points.” Int. J. Numer. Analyt. Meth. Geomech., 15, 301–305.
Vermeer, P. A., and de Borst, R.(1984). “Non-associated plasticity for soils, concrete and rock.” Heron, 29, 1–64.
Information & Authors
Information
Published In
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Feb 6, 2001
Accepted: Mar 18, 2001
Published online: Jan 1, 2002
Published in print: Jan 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.