TECHNICAL NOTES
Sep 1, 1996

Structural Analysis Model for Mat Foundations

Publication: Journal of Structural Engineering
Volume 122, Issue 9

Abstract

A simplified structural analysis model for mat foundations with grid floor beams as stiffeners is presented here. In the model, the Winkler type of subgrade reaction spring is assumed for the whole area under the mat foundation, and the yield-line theory of slab is used to lump the Winkler springs under slabs to the corresponding locations under the adjacent floor beams of the slabs. Therefore, each floor beam is now supported by springs with a segmentally linearly varied spring constant. The total analysis model for the mat foundation is then simplified to be a grid beam system on an elastic foundation with a segmentally linearly varied spring constant, and is subjected to loadings from the columns of the building structure. Some numerical comparisons with the results by a sophisticated finite-element model are made in order to demonstrate the effectiveness and efficiency of the presented analysis model.

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References

1.
Bowles, J. E. (1992). Foundation analysis and design, 3rd Ed., McGraw-Hill Book Co., Inc., New York, N.Y.
2.
Hetenyi, M. (1946). Beams on elastic foundation . University of Michigan Press, Ann Arbor, Mich.
3.
Horvath, J. S.(1983a). “New subgrade model applied to mat foundations.”J. Geotech. Engrg., ASCE, 109(12), 1567–1587.
4.
Horvath, J. S.(1983b). “Modulus of subgrade reaction: new perspective.”J. Geotech. Engrg., ASCE, 109(12), 1591–1595.
5.
Johansen, K. W. (1962). Yield-line theory . Cement and Concrete Assoc., London, England.
6.
Scott, R. F. (1981). Foundation analysis . Prentice-Hall, Inc., Englewood Cliffs, N.J.
7.
Terzaghi, K.(1955). “Evaluation of coefficients of subgrade reaction.”Geotechnique, London, England, 5(4), 297–326.
8.
Vesic, A. B.(1961). “Bending of beams resting on isotropic elastic solid.”J. Engrg. Mech. Div., ASCE, 87(2), 35–53.
9.
Vesic, A. B.(1963). “Model studies of beams resting on a silt subgrade.”J. Soil Mech. and Found. Div., ASCE, 89(1), 1–33.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 122Issue 9September 1996
Pages: 1114 - 1117

History

Published online: Sep 1, 1996
Published in print: Sep 1996

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Authors

Affiliations

Gin-Show Liou
Prof., Dept. of Civ. Engrg., Nat. Chiao-Tung Univ., Hsin-Chu, Taiwan 30049.
S. C. Lai
Grad. Student, Dept. of Civ. Engrg., Nat. Chiao-Tung Univ., Hsin-Chu, Taiwan 30049.

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