Structural Engineering and Mechanics

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The effective depth of soil stratum for plates resting on elastic foundation

  • Daloglu, Ayse T. (Department of Civil Engineering, Karadeniz Technical University) ;
  • Ozgan, K. (Department of Civil Engineering, Karadeniz Technical University)
  • Received : 2003.03.29
  • Accepted : 2003.11.10
  • Published : 2004.08.25
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Abstract

The purpose of this paper is to determine the subsoil depth affected from the load on the plate resting on elastic foundation using stress distribution within the subsoil that will be occurred depending on the loading and dimension of the plate. An iterative method is developed in order to determine the effective depth of the subsoil under the plate. Numerical examples from the technical literature are solved by means of the method suggested herein and displacements, bending moments and shear forces are presented in graphical and tabular forms to evaluate the effects of the limit depth considered in the study. Results showed the efficiency and simplicity of the present approach for the plate resting on an elastic foundation.

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References

  1. Ayvaz, Y., Dalo lu, A. and Do angün, A. (1998), "Application of a modified Vlasov model to eartquake analysis of plate resting on elastic foundations", J. Sound Vib., 212(3), 499-509. https://doi.org/10.1006/jsvi.1997.1394
  2. Ayvaz, Y. and Ozgan. K. (2002), "Application of modified Vlasov model to free vibration analysis of beams resting on elastic foundations", J. Sound Vib., 255(1), 111-127. https://doi.org/10.1006/jsvi.2001.4143
  3. Celik, M. and Saygun, A. (1999), "A method for the analysis of plates on a two parameter foundation", Int. J. Solids Struct., 36, 2891-2915. https://doi.org/10.1016/S0020-7683(98)00135-8
  4. Daloglu, A., Dogangun, A. and Ayvaz, Y. (1999), "Dynamic analysis of foundation plates using a consistent Vlasov model", J. Sound Vib., 224(5), 941-951. https://doi.org/10.1006/jsvi.1998.2144
  5. Hetenyi, M. (1950), "A general solution for the bending of beams on an elastic foundation of arbitrary continuity", J. Appl. Phy., 21, 55-58. https://doi.org/10.1063/1.1699420
  6. Jones, R. and Xenophontos. (1977), "The Vlasov foundation models", Int. J. Mech. Sci., 19, 317-323. https://doi.org/10.1016/0020-7403(77)90084-4
  7. Selvaduari, A.P.S. (1979), Elastic Analysis of Soil-Foundation Interaction, Elsevier Scientific Publishing Company, Amsterdam.
  8. Spangler, M.G. (1963), Soil Engineering, International Textbook Company, Scranton, Pennsylvania.
  9. Turhan, A. (1992), "A consistent Vlasov model for analysis of plates on elastic foundations using the finite element method", Ph. D. Thesis, The Graduate School of Texas Tech. University, Lubbock, Texas.
  10. Uzuner, B.A. (1992), Cozumlu Problemlerle Temel Zemin Mekanigi, Teknik Yayynevi, Ankara.
  11. Vallabhan, C.V.G. and Das, Y.C. (1988), "A parametric study of beams on elastic foundations", J. Eng. Mech. Div., 114(12), 2072-2082. https://doi.org/10.1061/(ASCE)0733-9399(1988)114:12(2072)
  12. Vallabhan, C.V.G. and Das, Y.C. (1991), "A refined model for beams on elastic foundation", Int. J. Solids Struct., 27(5), 629-637. https://doi.org/10.1016/0020-7683(91)90217-4
  13. Vallabhan, C.V.G. and Das, Y.C. (1991), "Modified Vlasov model for beams on elastic foundation", J. Geotechnical Eng., 117(6), 956-966. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:6(956)
  14. Vallabhan, C.V.G., Straughan, W.T. and Das, Y.C. (1991), "Refined model for analysis of plates on elastic foundations", J. Geotechnical Eng., 117(6), 956-966. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:6(956)
  15. Vallabhan, C.V.G. and Daloglu, A.T. (1999), "Consistent FEM-Vlasov model for plates on layered soil", J. Struct. Eng., 125(1), 108-113. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:1(108)
  16. Weawer, W. and Johnston, P.R. (1984), Finite Element for Structural Analysis, Prentice-Hall, Inc., Englewood Cliffs, NJ.

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