TECHNICAL NOTES
Feb 1, 1993

Beam‐Column‐Analogy Model for Soil‐Structure Interaction Analysis

Publication: Journal of Geotechnical Engineering
Volume 119, Issue 2

Abstract

A mathematical model for a combined soil subgrade plus structurallement in contact with the subgrade (e.g., a mat foundation) is presented. The structural portion of the model is a conventional flexural element. The subgrade portion of the model is Pasternak's hypothesis, which is fundamentally more accurate than the commonly used Winkler hypothesis. The novel element developed in this note is not the individual model components, but the fact that the combined model can be visualized as a spring‐supported beam‐column under constant axial tension. The column tension and springs represent the subgrade effects. This beam‐column analogy is useful in practice because it allows more accurate modeling of soil‐structure interaction within the capabilities of existing structural analysis computer software.

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References

1.
Bowles, J. E. (1988). Foundation analysis and design. 4th Ed., McGraw‐Hill Book Co., New York, N.Y.
2.
DeSimone, S. V., and Gould, J. P. (1972). “Performance of two mat foundations on Boston blue clay.” Proc. Specialty Conf. on Performance of Earth and Earth‐Supported Structures, ASCE, 953–980.
3.
Fraser, R. A., and Wardle, L. S. (1976). “Numerical analysis of rectangular rafts on layered foundations.” Geotechnique, London, United Kingdom, 26(4), 613–630.
4.
Horvath, J. S. (1979). “A study of analytical methods for determining the response of mat foundations to static loads,” PhD thesis Polytechnic Institute of New York, Brooklyn, N.Y.
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Horvath, J. S. (1983a). “Modulus of subgrade reaction: New perspective.” J. Geotech. Engrg., ASCE, 109(12), 1591–1596.
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Horvath, J. S. (1983b). “New subgrade model applied to mat foundations.” J. Geotech. Engrg., ASCE, 109(12), 1567–1587.
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Horvath, J. S. (1989). “Subgrade models for soil‐structure interaction analysis.” Foundation engineering: Current principles and practices, ASCE, New York, N.Y., 599–612.
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Horvath, J. S. (1992a). Discussion of “Modified Vlasov model for beams on elastic foundations.” by C. V. G. Vallabhan and Y. C. Das. J. Geotech. Engrg., ASCE, 118(9), 1482–1484.
9.
Horvath, J. S. (1992b). “Mat foundation analysis: A review and critique based on case histories.” Preprint paper, ACI Spring Convention.
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“Suggested analysis and design procedures for combined footings and mats.” (1988). ACI Struct. J., 85(3), 304–324.
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Vallabhan, C. V. G., and Das, Y. C. (1991). “Modified Vlasov model for beams on elastic foundations.” J. Geotech. Engrg., ASCE, 117(6), 956–966.

Information & Authors

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Published In

Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 119Issue 2February 1993
Pages: 358 - 364

History

Received: Feb 13, 1992
Published online: Feb 1, 1993
Published in print: Feb 1993

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Authors

Affiliations

John S. Horvath, Member, ASCE
Assoc. Prof., Manhattan Coll., School of Engrg., Civ. Engrg. Dept., Bronx, NY 10471

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