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Solution of the axisymmetric problem of the bending of a plate on a winkler bed with allowance for displacement of normals and layer pressure

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Soil Mechanics and Foundation Engineering Aims and scope

A numerical analytical solution is presented for the three-dimensional axisymmetric problem of the bending of a infinite elastic isotropic plate on a Winkler bed. Trial calculations performed, which implement the solutions obtained, make it possible to conclude the need to consider shear deformations of the neutral surface and pressing of layers in the support zones of the vertical components of the bearing frame of a building on a foundation slab.

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References

  1. S. P. Timoshenko and S. Voinovskii-Kriger, Plates and Shells [in Russian], Nauka, Moscow (1966).

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  2. B. G. Korenev and E. I. Chernigovskaya, Analysis of Slabs on Elastic Beds [in Russian], Gosstroiizdat, Moscow (1962).

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Authors and Affiliations

  1. Moscow Branch of the Thornton-Tomasetti Company, Moscow, Russia

    S. A. Pechorskaya

  2. Southern Ural State University, Chelyabinsk, Russia

    V. A. Ikrin & V. P. Khomyak

Authors
  1. S. A. Pechorskaya
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  2. V. A. Ikrin
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  3. V. P. Khomyak
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Additional information

Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 5, pp. 17–23, September–October, 2009.

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Pechorskaya, S.A., Ikrin, V.A. & Khomyak, V.P. Solution of the axisymmetric problem of the bending of a plate on a winkler bed with allowance for displacement of normals and layer pressure. Soil Mech Found Eng 46, 186–195 (2009). https://doi.org/10.1007/s11204-009-9063-y

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  • DOI: https://doi.org/10.1007/s11204-009-9063-y

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