Stiffness Coefficients of Layered Soil Systems
Publication: Journal of Geotechnical Engineering
Volume 116, Issue 4
Abstract
One of the most important dynamic properties required in the design of machine foundations is the stiffness or spring constant of the supporting soil. For a layered soil system, the stiffness obtained from an idealization of soils underneath as springs in series gives the same value of stiffness regardless of the location and extent of individual soil layers with respect to the base of the foundation. This paper aims to develop the importance of the relative positioning of soil layers and their thickness beneath the foundation. A simple and approximate procedure called the weighted average method has been proposed to obtain the equivalent stiffness of a layered soil system knowing the individual values of the layers, their relative position with respect to foundation base, and their thicknesses. The theoretically estimated values from the weighted average method are compared with those obtained by conducting field vibration tests using a square footing over different two‐ and three‐layered systems and are found to be very good. The tests were conducted over a range of static and dynamic loads using three different materials. The results are also compared with the existing methods available in the literature.
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References
1.
Akai, et al. (1971). “Model studies on stress distribution in layered systems.” Proc. JSCE, 185, 83–93.
2.
Arnold, R. N., Bycroft, G. N., and Warburton, G. B. (1955). “Forced vibrations of a body on an infinite elastic solid.” Trans. ASME, 77(3), 391–401.
3.
Barros, S. (1966). “Deflection factor charts for two‐ and three‐layered elastic system.” Proc. 45th Annual Meeting, HRB, Highway Res. Board, Washington, D.C.
4.
Burmister, D. M. (1943). “The theory of stresses and displacements in layered systems and application to the design of airport runways.” Proc. 23rd Annual Meeting, HRB, 23, 126–148.
5.
Burmister, D. M. (1945a). “The general theory of stresses and displacements in layered systems—I.” J. Appl. Physics, 16(2), 39–96.
6.
Burmister, D. M. (1945b). “The general theory of stresses and displacements in layered systems—n.” J. Appl. Physics, 16(3), 126–127.
7.
Burmister, D. M. (1945c). “The general theory of stresses and displacements in layered systems—HI.” J. Appl. Physics, 16(5), 296–302.
8.
Eastwood, W. (1953). “Vibrations in foundations.” The Struct. Engr. 31(1), 82–93.
9.
Gandhi, N. S. V. V. S. J. (1986). “Studies on the shear modulus and damping factor of uniform and layered soils,” thesis presented to the Indian Institute of Science, at Bangalore, India, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Heukelom, W., and Foster, C. R. (1960). “Dynamic testing of pavements.” J. Soil Mech. and Found. Engrg. Div., ASCE, 86(1), 1–28.
11.
Nijboer, L. W. (1956). “Ein Berechnungsverfahren fur asphaltstrassen mit besonderer Beriicksichtigung des dynamischen verkehrs (Computation procedure for asphalt roads with particular consideration of dynamic traffic). “Die Bautechnik, 33(2), 37–49(in German).
12.
Odemark, N. (1949). “Investigations as to the elastic properties of soils and design of pavements according to the theory of elasticity.” Meddelande No. 77, Statens Vaginstut, Stockholm, Sweden.
13.
Palmer, L. A., and Barber, E. S. (1940). “Soil displacement under a loaded circular area.” Proc. HRB, Highway Research Board, 20, 279–286.
14.
Ueshita, K., and Meyerhof, G. G. (1967). “Deflection of multilayer systems.” J. Soil Mech. and Found. Engrg. Div., ASCE, 93(5), 257–282.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 116 • Issue 4 • April 1990
Pages: 604 - 624
Copyright
Copyright © 1990 ASCE.
History
Published online: Apr 1, 1990
Published in print: Apr 1990
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