TECHNICAL PAPERS
Jul 1, 1983

Uncertainty in Bearing Capacity of Sands

Publication: Journal of Geotechnical Engineering
Volume 109, Issue 7

Abstract

Bearing capacity predictions for surface footings on sand based on modifications of Terzaghi's superposition method are partly empirical and partly theoretical. Based on currently available data for surface footings on sand, these predictions are compared with statistical analyses. For small uncertainty in soil properties, coefficients of variation of bearing capacity for cohesionless soil without surcharge range from 20% to 30%. As uncertainty in soil properties is introduced, uncertainty in bearing capacity rises rapidly. Quantified expressions of uncertainty are derived and illustrated by example. These analyses are used to identify sources of uncertainty.

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References

1.
Aitchison, J., and Brown, A. C., The Lognormal Distribution, Cambridge University Press, London, England, 1957.
2.
Andersen, K. H., “Bearing Capacity of Shallow Foundations on Cohesionless Soils,” Internal Report No. 51404‐1, Norwegian Geotechnical Institute, 1972.
3.
Bjerrum, L., “Geotechnical Problems Involved in Foundations of Structures in the North Sea,” Geotechnique, Vol. 23, No. 3, 1973.
4.
Caquot, A., and Kerisel, J., “Sur le terme de surface dans le calcul des foundations en milieu pulverulent,” Proceedings of the Third International Conference on Soil Mechanics and Foundations, Vol. 1, Zurich, Switzerland, 1953.
5.
Chen, W. F., Limit Analysis and Soil Plasticity, Elsevier Scientific Publishing Company, New York, N.Y., 1975.
6.
Cornforth, D. H., “Some Experiments on the Influence of Strain Conditions on the Strength of Sand,” Geotechnique, Vol. 14, No. 2, 1964.
7.
De Beer, E. E., “Bearing Capacity and Settlement of Shallow Foundations on Sand,” Proceedings of Symposium on Bearing Capacity and Settlement of Foundations, Duke University, 1967.
8.
De Beer, E. E., “Experimental Determination of the Shape Factors and Bearing Capacity Factors of Sand,” Geotechnique.
9.
De Beer, E. E., and Ladany, B., “Etrude experimentale de la capacite portante du sable sous des fondations circulaires etablies en surface,” Proceedings Fifth International Conference on Soil Mechanics and Foundation Engineering, Vol. 1, Paris, 1961.
10.
Dhillon, G. S., “The Settlement, Tilt, and Bearing Capacity of Footings under Central and Eccentric Loads,” Journal National Buildings Organization, Vol. 6, 1961.
11.
Eastwood, W., “The Bearing Capacity of Eccentrically Loaded Foundations on Sandy Soils,” The Structural Engineer, Vol. 23, No. 6, 1955.
12.
Feda, J., “Research on the Bearing Capacity of Loose Soil,” Proceedings Fifth International Conference on Soil Mechanics and Foundation Engineering, Vol. 1, Paris, France, 1961.
13.
Golder, H. G., “The Ultimate Bearing Capacity of Rectangular Footings,” Journal Institution of Civil Engineers, Vol. 17, 1941.
14.
Graham, J., and Stuart, J. G., “Scale and Boundary Effects in Foundation Analysis,” Journal of the Soil Mechanics and Foundation Engineering Division, ASCE, Vol. 97, No. SM11, 1971.
15.
Graham, J., and Pollock, D. G., “Scale‐Dependent Plasticity Analysis for Sand,” Journal of Civil Engineering and Public Works Review, Vol. 67, No. 788, 1972.
16.
Hansen, G. H., “Modes of Failure Under Inclined Eccentric Loads,” Proceedings of the Behavior of Offshore Structures, Norwegian Geotechnical Institute, 1976.
17.
Hansen, B. H., and Christensen, N. H., Discussion of “Theoretical Bearing Capacity of Very Shallow Footings,” by Lawrence Larken, Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 95, No. SM6, 1969.
18.
Hansen, J. B., “A Revised and Extended Formula for Bearing Capacity,” Bulletin No. 28, Danish Geotechnical Institute, Copenhagen, Denmark, 1970.
19.
Hansen, J. B., “A General Formula for Bearing Capacity,” Bulletin No. 11, Danish Geotechnical Institute, Copenhagen, Denmark, 1961.
20.
Janbu, N. L., Bjerrum, L., and Kjaernsli, B., “Veilendning ved losnig av fundamenterings oppgaver,” Publication No. 16, Norwegian Geotechnical Institute, Oslo, Norway, 1956.
21.
Ko, H.‐Y., and Davidson, L. W., “Bearing Capacity of Footings in Plane Strain,” Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 99, No. SM1, 1973.
22.
Ladd, C. C., et al., “Stress‐Deformation and Strength Characteristic,” Proceedings of the Ninth International Conference on Soil Mechanics and Foundation Engineering, Tokyo, Japan, 1977.
23.
Lebeque, Y., “Pouvoir portant du sol sous une charge inclinee,” Proceedings of the Ninth International Conference on Soil Mechanics and Foundation Engineering, Tokyo, Japan, 1977.
24.
Lee, I. K., “Footings Subjected to Moments,” Proceedings Sixth International Conference on Soil Mechanics and Foundation Engineering, Vol. 2, Montreal, Canada, 1965.
25.
Lee, K. L., “Comparison of Plane Strain and Triaxial Tests on Sand,” Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 96, No. SM3, 1970.
26.
Meyerhof, G. G., “The Ultimate Bearing Capacity of Foundations,” Geotechnique, Vol. 2, 1951.
27.
Meyerhof, G. G., “The Bearing Capacity of Foundations under Eccentric and Inclined Loads,” Proceedings Third International Conference on Soil Mechanics and Foundation Engineering, Vol. 1, Zurich, Switzerland, 1953.
28.
Meyerhof, G. G., “Influence of Roughness of Base and Groundwater Conditions on the Ultimate Bearing Capacity of Foundations,” Geotechnique, Vol. 5, No. 3, 1955.
29.
Meyerhof, G. G., “Some Recent Research on the Bearing Capacity of Foundations,” Canadian Geotechnical Journal, Vol. 1, No. 1, 1963.
30.
Mizuno, T., “On the Bearing Power of Soil under a Uniformly Distributed Circular Load,” Proceedings Third International Conference on Soil Mechanics and Foundation Engineering, Vol. 1, Zurich, Switzerland, 1953.
31.
Muhs, H., and K. Weiss, “Inclined Load Tests on Shallow Strip Footings,” Degebo Heft, No. 30, 1974.
32.
Nash, K. L., “The Shearing Resistance of a Closely Graded Sand,” Proceedings Third International Conference on Soil Mechanics and Foundation Engineering, Vol. 1, Zurich, Switzerland, 1953.
33.
Ovesen, N. K., “Centrifugal Testing Applied to Bearing Capacity Problems for Footings on Sand,” Geotechnique, Vol. 25, No. 2, 1975.
34.
Potyondy, J. G., “Skin Friction Between Various Soils and Construction Materials,” Geotechnique, Vol. 11, 1961.
35.
Poulos, H. G., and Davis, E. H., Elastic Solutions for Soil and Rock Mechanics, John Wiley & Sons, Inc., New York, N.Y., 1974.
36.
Prakash, S., and Saran, S., “Bearing Capacity of Eccentrically Loaded Footings,” Journal of the Soil Mechanics ana Foundation Division, ASCE, Vol. 97, No. SM1, 1971.
37.
Purkayastha, R. D., and Char, R. A., “Stability Analysis for Eccentrically Loaded Footings,” Journal of the Geotechnical Division, ASCE, Vol. 103, No. GT6, 1977.
38.
Rackwitz, R., “Demonstration of Level‐II Methods,” Comité Européen de Béton, Bulletin D'Information, No. 112: 90–107, 1976.
39.
Ramelot, C., and Vandeperre, L., “Travaux de la Commission d'Etrude des Fondations de Pylones,” Compt. Rend. Rech., I.R.S.I.A., No. 2, Brussels, Belgium, 1950.
40.
Rowe, P. W., “The Relation Between the Shear Strength of Sands in Triaxial Compression, Plane Strain, and Direct Shear,” Geotechnique, Vol. 19, No. 1, 1969.
41.
Saran, S., Prakash, S., and Murty, A. V., “Bearing Capacity of Footings Under Inclined Loads,” Soils and Foundations, Vol. 11, No. 1, 1971.
42.
Selig, E. T., and McKee, K. E., “Static and Dynamic Behavior of Small Footings,” Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 87, No. SM6, 1961.
43.
Terzaghi, K., Theoretical Soil Mechanics, John Wiley & Sons, Inc., New York, N.Y., 1943.
44.
Tran‐Vo‐Thiem, “Force Portante Limite des Fondations Superficielles a Charge Inclinee et Excentree,” Proceedings, Congresso Brasileiro de Mecanica dos Solos Engenharia de Fundacoes, Vol. 1, Gaunabara, Brazil, 1970.
45.
“Travaux de la Commission d'etude des fondations de Pylones de la Societe Intercommunale Beige d'Electricitie,” Institut pour L'Encouragement de la Recherche Scientifique dans L'Industrie et L'Agriculture, Brussels, Belgium, 1950.
46.
Verghese, A. C., “Bearing Capacity Theory From Experimental Results,” Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 98, No. SM12, 1972.
47.
Vesic, A., “Bearing Capacity of Deep Foundations in Sand,” Highway Research Board Record, Vol. 39, 1963.
48.
Vesic, A., “Analysis of Ultimate Loads of Shallow Foundations,” Journal Soil Mechanics and Foundation Division, ASCE, Vol. 99, No. SM1, 1973.
49.
Vesic, A., “Bearing Capacity of Shallow Foundations,” Foundation Engineering Handbook, H. G. Winterkorn and H.‐Y. Fang, eds., Van Nostrand Rheinhold Company, New York, N.Y., 1974.
50.
Weiss, K., “Die Formbeiwerte in der Grundbruchgleichung fur nichtbindige Boden,” Degebo Heft, No. 29, 1973.
51.
Zaharescue, E., “The Eccentricity Sense Influence of the Inclined Load on the Bearing Capacity of Rigid Foundations,” Journal National Buildings Organization, Vol. 6, 1961.

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Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 109Issue 7July 1983
Pages: 899 - 914

History

Published online: Jul 1, 1983
Published in print: Jul 1983

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Authors

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Thomas S. Ingra
Geotechnical Engr., Ardaman and Assocs., Inc., Orlando, Fla.
Gregory B. Baecher, Associate Members, ASCE
Assoc. Prof. of Civ. Engrg., Massachusetts Inst. of Tech., Cambridge, Mass. 02139

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