Scaling Rule for Stiffness of Foundations
Publication: Journal of Engineering Mechanics
Volume 116, Issue 12
Abstract
The stiffness of shallow foundations on homogeneous soil layers can be predicted by means of an in‐situ model test and a scaling rule. In this paper, the existing scaling rules are reviewed first. Then a scaling rule is developed on the basis of a constitutive model for frictional materials. The material behavior is categorized by two characteristic stiffnesses: deviatoric loading and isotropic compression. The parameter in the scaling rule can be determined on the basis of either a series of drained triaxial tests or a series of in‐situ‐plate‐loading tests. Both approaches are verified experimentally. The practical relevance of the scaling rule is illustrated by an example. For a scale factor of 10, the dependence of both characteristic stiffnesses on the magnitude of the isotropic stress can cause errors in the predicted settlement of a factor of two. For an accurate determination of the foundation stiffness at small load levels, a large‐diameter model plate is required, and special attention must be given to the contact between the plate and the soil.
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References
1.
Baladi, G. Y. (1987). “Terrain evaluation for off‐road mobility.” J. Terramech., 24(2), 127–140.
2.
Bekker, M. G. (1956). “Theory of land locomotion—the mechanics of vehicle mobility. University of Michigan Press, Ann Arbor, Mich.
3.
Bernstein, R. (1913). “Probleme einer experimentellen Motorpflugmechanik.” Der Motorwagen, 16(9), 199–206 (in German).
4.
Bond, D. (1961). “The influence of foundation size on settlement.” Géotechnique, London, England, 2(2), 121–143.
5.
Booker, J. R., Balaam, N. P., and Davis, E. H. (1985). “The behaviour of an elastic non‐homogeneous halfspace.” Int. J. Numer. Anal. Methods Geomech., 9(4), 353–381.
6.
Boussinesq, J. (1885). Application des potentiels à l'étude de l'equilibre et du mouvement des solides élastiques. Gauthier‐Villard, Paris, France (in French).
7.
Burland, J. B., Broms, B. B., and de Mello, V. F. B. (1977). “Behaviour of foundations and structures.” Proc., 9th Int. Conf. Soil Mech. Found. Engrg., Tokyo, Japan, 2, 495–546.
8.
Chaplin, T. K. (1961). “Compressibility of sands and settlements of model footings and piles in sand.” Proc., 5th Int. Conf. Soil Mech. Found. Engrg., Paris, France, 2, 33–40.
9.
Dietrich, T. (1978). “A comprehensive mechanical model of sand at low stress level.” Proc., 9th Int. Conf. Soil Mech. Found. Engrg., Japan, 9, 33–43.
10.
Duncan, J. M., and Chang, C. Y. (1970). “Non‐linear analysis of stress and strain in soils.” J. Soil Mech. and Found. Engrg. Div., ASCE, 96(5), 1629–1653.
11.
Gibson, R. E. (1967). “Some results concerning displacements and stresses in a nonhomogeneous elastic halfspace.” Géotechnique, London, England, 17, 58–67.
12.
Gibson, R. E. (1968). “Correspondence.” Géotechnique, London England, 18(2), 275–276.
13.
Gibson, R. E. (1968). “Correspondence.” Géotechnique, London England, 19(1), 160–161.
14.
Hansen, J. B. (1965). “Some stress‐strain relationships for soils.” Proc., 6th Int. Conf. Soil Mech. Found. Engrg., Montreal, Canada, 1, 231–234.
15.
Hardin, B. O., and Drnevich, V. P. (1972a). “Shear modulus and dampings in soils. Measurements and parameter effects.” J. Soil Mech. and Found. Engrg. Div., ASCE, 98(6), 603–624.
16.
Hardin, B. O., and Drnevich, V. P. (1972b). “Shear modulus and damping in soils. Design equations and curves.” J. Soil and Found. Engrg. Div., ASCE, 98(7), 667–692.
17.
Hardin, B. O., and Richart, F. E. (1963). “Elastic wave velocities in granular soils.” J. Soil Mech. and Found. Engrg. Div., ASCE, 89(1), 33–65.
18.
Hettler, A., and Gudehus, G. (1985a). “Discussion.” Soil and Found., 25(3), 138–139.
19.
Hettler, A., and Gudehus, G. (1985b). “A pressure‐dependent correction for displacement results from 19 model tests with sand.” Géotechnique, London, England, 35(4), 497–510.
20.
Hettler, A., Vardoulakis, I., and Gudehus, G. (1984). “Stress strain behaviour of sand in triaxial tests.” Results of the International Workshop on Constitutive Relations for Soils, Grenoble, France, A. A. Balkema, 55–66.
21.
Holzlöhner, U. (1984). “Settlement of shallow foundations on sand.” Soil Found., 24(4), 58–70.
22.
Holzlöhner, U. (1985a). “Discussion.” Soil and Found., 25(4), 146.
23.
Holzlöhner, U. (1985b). “Sand properties governing foundation settlement.” Proc., 11th Int. Conf Soil Mech. Found. Engrg., San Francisco, Calif., 2, 507–510.
24.
Iwaski, T., and Tatsuoka, F. (1977). “Dynamic soil properties with emphasis on comparison of laboratory tests and field measurements.” Proc., 6th World Conf. Earthquake Engrg., 6, 153–158.
25.
Krumbein, W. C., and Sloss, L. L. (1951). Statisgraphy and sedimentation. W. H. Freeman and Co., San Francisco, Calif.
26.
Lade, P. V. (1977). “Elasto‐plastic stress‐strain theory for cohesionless soil with curved yield surfaces.” Int. J. Solids Struct., 13(11), 1019–1035.
27.
Lade, P. V., and Duncan, J. M. (1975). “Elasto‐plastic stress‐strain theory for cohesionless soil.” J. Geotech. Engrg. Div., ASCE, 101(10), 1037–1053.
28.
McKyes, E., and Fan, T. (1985). “Multiplate penetration tests to determine soil stiffness moduli.” J. Terramech., 27(3), 157–162.
29.
McLeod, N. W. (1956). “Flexible pavement thickness requirements.” Proc., Assoc. Asphalt Paving Technologists, 25, 199–272.
30.
Molenkamp, F. (1980). “Elasto‐plastic double hardening model MONOT.” Report CO‐218595, Delft Soil Mechanics Laboratory, Delft, the Netherlands.
31.
Molenkamp, F. (1984). “Quality of lubrication of end platens, membrane penetration and bedding error.” Results of the International Workshop on Constitutive Relations for Soils, Grenoble, France, A. A. Balkema, 91–93.
32.
Shannon, W. L., Yamane, G., and Dietrich, R. J. (1959). “Dynamic triaxial tests on sand.” Proc., 1st Panamerican Conf. Soil Mech. Found. Engrg., Mexico City, Mexico, 1, 473–486.
33.
Stratton, J. H. (1944). “Construction and design problems; military airfields; a symposium.” Proc., ASCE, New York, N.Y.
34.
Timoshenko, S., and Goodier, J. N. (1951). Theory of elasticity. McGraw‐Hill Book Co., New York, N.Y.
35.
Terzaghi, K., and Peck, R. B. (1948). Soil mechanics in engineering practice. John Wiley, New York, N.Y.
36.
Vermeer, P. A. (1977). “A double hardening model for sand.” Delft Progress Report 2, Delft Univ. of Technology, Delft, the Netherlands, 303–320.
37.
Vermeer, P. A. (1978). “A double hardening model for sand.” Geotechnique, London, England, 28(4), 413–433.
38.
Vermeer, P. A. (1981). “Formulation and prediction of sand behaviour.” Proc., 10th Int. Conf. on Soil Mech. Found. Engrg., Stockholm, Sweden, 1, 259–262.
39.
Winkler, E. (1867). Die Lehre von Elastizität undFestigkeit. H. Dominicus, Praque, 182 (in German).
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 12 • December 1990
Pages: 2603 - 2624
Copyright
Copyright © 1990 ASCE.
History
Published online: Dec 1, 1990
Published in print: Dec 1990
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