Values of k for Slab on Winkler Foundation
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 126, Issue 5
Abstract
Using nondimensional parameters for the analysis of a slab on a layered soil medium, a method is developed to evaluate an equivalent modulus of subgrade reaction k to be used in the Winkler model. Here, a constant value of Poisson's ratio for the soil, νs = 0.25 is used. Graphs are provided from which an equivalent value of k can be computed as soon as the complete geometry and the properties of the overall system are known. Numerical examples are given to show the comparisons of results from the equivalent Winkler k parameter with those from a modified Vlasov model and by using the value of k suggested by Biot and Vesic.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Biot, M. A. (1937). “Bending of an infinite beam on an elastic foundation,” J. Appl. Mech., 59, A1–A7.
2.
Bowles, J. E. (1988). Foundation analysis and design. McGraw-Hill, New York.
3.
Coduto, D. C. (1994). Foundation design. Prentice-Hall, Englewood Cliffs, N.J.
4.
Pasternak, P. L. (1954). On a new method of analysis of an elastic foundation by means of two foundation constants. Gosudarstrennoe Izdatelstvo Literaturi Po Stroitelstvu I Arkhitekture, Moscow (in Russian).
5.
Straughan, W. T. ( 1990). “Analysis of plates on elastic foundation,” PhD dissertation, Dept. of Civ. Engrg., Texas Tech University, Lubbock, Tex.
6.
Terzaghi, K. (1955). “Evaluation of coefficients of subgrade reaction.” Géotechnique, London, 5, 297–326.
7.
Turhan, A. ( 1992). “A consistent Vlasov model for analysis of plates on elastic foundations using the finite element method,” PhD dissertation, Dept. of Civ. Engrg., Texas Tech University, Lubbock, Tex.
8.
Vallabhan, C. V. G., and Das, Y. C. (1988). “Parametric study of beams on elastic foundation.”J. Engrg. Mech., ASCE, 114(12), 2072–2082.
9.
Vallabhan, C. V. G., and Das, Y. C. (1989). “A refined model for beams on elastic foundations.” Int. J. Solids and Struct., 27(5), 629–637.
10.
Vallabhan, C. V. G., and Daloglu, A. T. (1997). “Consistent FEM–Vlasov model for slabs on elastic foundations.” Proc., 7th Int. Conf. on Computing in Civ. and Build. Engrg., Vol. 1, 57–62, Seoul.
11.
Vallabhan, C. V. G., and Daloglu, A. T. (1999). “Consistent FEM-Vlasov model for plates on layered soil.”J. Struct. Engrg., ASCE, 125(1), 108–113.
12.
Vesic, A. B. (1961). “Bending of beams resting on isotropic elastic solid.”J. Engrg. Mech., ASCE, 87, 35–53.
13.
Vlasov, V. Z., and Leont'ev, N. N. (1966). Beams, plates and shells on elastic foundations. Israel Program for Scientific Translations, Jerusalem (translated from Russian).
Information & Authors
Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 126 • Issue 5 • May 2000
Pages: 463 - 471
History
Received: Oct 8, 1998
Published online: May 1, 2000
Published in print: May 2000
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.