Influence of the Elastic Modulus of the Soil and Concrete Foundation on the Displacements of a Mat Foundation


In this paper, we suggest to study the behavior of a mat foundation on subsoil from the plate theory taking into account the soil-structure interaction. The objective is to highlight the soil-structure interaction particularly the influence of the rigidities of the soil and the concrete on the subgrade reaction (k) and the displacements of the mat foundation subjected to vertical loads. From plate theory and the soil-structure interaction, the general equation is reached. This equation depends more on the subgrade properties than the concrete foundation properties. Consequently, the behavior of the mat foundation is more influenced by soil properties than the concrete.

Share and Cite:

O. Sall, M. Fall, Y. Berthaud and M. Ba, "Influence of the Elastic Modulus of the Soil and Concrete Foundation on the Displacements of a Mat Foundation," Open Journal of Civil Engineering, Vol. 3 No. 4, 2013, pp. 228-233. doi: 10.4236/ojce.2013.34027.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. P. S. Selvadurai, “Elastic Analysis of Soil-Foundation Interaction,” Developments in Geotechnical Engineering, Vol. 17, 1979, pp. 7-9.
[2] E. Winkler, “Die Lehhre von der Eiastizitat und Festigkeit. Dominicus,” Prague, 1867.
[3] C. V. G. Vallabhan and Y. C. Das, “Parametric Study of Beams on Elastic Foundations,” Journal of the Engineering Mechanics Division, Vol. 114, No. 12, 1988, pp. 2072-2082.
[4] M. M. Filonenko-Borodich, “Some Approximate Theories of the Elastic Foundation,” Uchenyie Zapiski Moskovskogo Gosudarstvennogo Universiteta, Vol. 46, 1940, pp. 3-18.
[5] M. M. Filonenko-Borodich, “A Very Simple Model of an Elastic Foundation Capable of Spreading the Load,” Sb Tr. Mosk. Elektro. Inst. Inzh. Trans., No. 53, 1945.
[6] M. Hetényi, “Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering,” University of Michigan Press, Ann Arbor, 1946.
[7] P. L. Pasternak, “On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants,” Gosudarstvennoe Izdatelstro Liberaturi po Stroitelstvui Arkhitekture, Moscow, 1954.
[8] E. Reissner, “Deflection of Plates on Viscoelastic Foundation,” Journal of Applied Mechanics, Vol. 80, 1958, pp. 144-145.
[9] V. Z. Vlazov and U. N. Leontiev, “Beams, Plates and Shells on Elastic Foundations,” Israel Program for Scientific Translations, Jerusalem, 1966.
[10] C. V. G. Vallabhan and Y. C. Das, “Modified Vlasov Model for Beams on Elastic Foundations,” Journal of Geotechnical Engineering, Vol. 117, No. 6, 1991, pp. 956-966.
[11] M. A. Biot, “Bending of an Infinite Beam on an Elastic Foundation,” Journal of Applied Physics, Vol. 12, No. 2, 1937, pp. 155-164.
[12] A. B. Vesic, “Beams on Elastic Subgrade and the Winkler’s Hypothesis,” Proceedings of 5th International Conference of Soil Mechanics, 1963, pp. 845-850.
[13] H. Bund, “An Improved Method for Foundation Modulus in Highway Engineering,” EJGE, Vol. 14, 2009.
[14] F. L. Liu, “Rectangular Thick Plates on Winkler Foundation: Deferential Quadrature Element Solution,” International Journal of Solids and Structures, Vol. 37, No. 12, 2000, pp. 1743-1763.
[15] A. T. Daloglu and C. V. G. Vallabhan, “Values of k for Slab on Winkler Foundation,” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 126, No. 5, 2000, pp. 463-471.
[16] F. D. Fischer and E. Gamsjäger, “Beams on Foundation, Winkler Bedding or Half-Space—A Comparison,” Technische Mechanike, Vol. 2, 2008, pp. 152-155.
[17] K. Yang, “Analysis of Laterally Loaded Drilled Shafts in Rock,” University of Akron, OH, 2006.
[18] M. T. Henry, “Train-Induced Dynamic Response of Railway Track and Embankments on Soft Peaty Foundations,” University of Saskatchewan, Canada, 2007.
[19] S. Arul, S. Seetharaman and Abraham, “Simple Formulation for the Flexure of Plates on Nonlinear Foundation,” Journal of Engineering Mechanics, Vol. 134, No. 1, 2008, pp. 110-115.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.