DOI QR코드

DOI QR Code

Fast analytical estimation of the influence zone depth, its numerical verification and FEM accuracy testing

  • Kuklik, Pavel (Faculty of Civil Engineering, Czech Technical University in Prague) ;
  • Broucek, Miroslav (Faculty of Civil Engineering, Czech Technical University in Prague) ;
  • Kopackova, Marie (Faculty of Civil Engineering, Czech Technical University in Prague)
  • Received : 2009.02.19
  • Accepted : 2009.09.22
  • Published : 2009.11.30

Abstract

For the calculation of foundation settlement it is recommended to take into account so called influence zone inside the subsoil bellow the foundation structure. Influence zone inside the subsoil is the region where the load has a substantial influence on the deformation of the soil skeleton. The soil skeleton is pre-consolidated or over consolidated due to the original geostatic stress state. An excavation changes the original geostatic stress state and it creates the space for the load transferred from upper structure. The theory of elastic layer in Westergard manner is selected for the vertical stress calculation. The depth of influence zone is calculated from the equality of the original geostatic stress and the new geostatic stress due to excavation combined with the vertical stress from the upper structure. Two close formulas are presented for the influence zone calculation. Using ADINA code we carried out several numerical examples to verify the proposed analytical formulas and to enhance their use in civil engineering practice. Otherwise, the FEM code accuracy can be control.

Keywords

References

  1. Bowles, J.E. (1966), Foundation Analysis and Design, McGraw-Hill, New York
  2. Celep, Z. and Demir, F. (2007), 'Symmetrically loaded beam on a two parameter tensionless foundation', Struct. Eng. Mech., 27(5), 554-574
  3. Co kun, I., Engin, H. and Ozmutlu, A. (2008), 'Response of a finite beam on tensionless Pasternak foundation under symmetric and asymmetric loading', Struct. Eng. Mech., 30(1), 21-36 https://doi.org/10.12989/sem.2008.30.1.021
  4. Daloglu, A.T. and Ozgan, K. (2004), 'The effective depth of soil stratum for plates resting on elastic foundation', Struct. Eng. Mech., 18(2), 263-276 https://doi.org/10.12989/sem.2004.18.2.263
  5. Davis, R.O. and Selvadurai, A.P.S. (1996), Elasticity and Geomechanics, Cambridge University Press
  6. EUROCODE 7 (1997), General Rules-spread Foundations, Geotechnical Design, Prague
  7. Fajman, P. and Šejnoha, J. (2007), 'A simplified approach to time-dependent subsoil-structure interaction', Comput. Struct., 85, 1514-1523 https://doi.org/10.1016/j.compstruc.2007.01.024
  8. Filipich, C.P. and Rosales, M.B. (2002), 'A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil', Int. J. Mech. Sci., 44, 21-36 https://doi.org/10.1016/S0020-7403(01)00087-X
  9. Gecit, M.R. (1981), 'Axisymmetric contact problem for an elastic layer and an elastic foundation', Int. J. Eng. Sci., 19(6), 747-755 https://doi.org/10.1016/0020-7225(81)90108-7
  10. Gradschtein, I.S. and Rizhik, I.M. (1963), Tables of Integrals, Sums, Series and Product, (in Russian) Moscow
  11. Janda, T., Kuklík, P. and Sejnoha, M. (2004), 'Mixed experimental and numerical approach to evaluation of material parameters of clayey soils', Int. J. Geomech., 4(3), 199-206 https://doi.org/10.1061/(ASCE)1532-3641(2004)4:3(199)
  12. Kotrasová, K. (2009), 'Influence of category of sub-soil on liquid storage circular tanks during earthquake', 12th International Scientific Conference, 2009, Brno Czech Republic
  13. Kuklik, P. (2006), 'Several comments on influence zone depth progress in deep hole foundations', Proceedings of the GeoShanghai Conference, 2006, Reston https://doi.org/10.1061/40867(199)44

Cited by

  1. Dynamic Analysis of Liquid Storage Cylindrical Tanks due to Earthquake vol.969, pp.1662-8985, 2014, https://doi.org/10.4028/www.scientific.net/AMR.969.119
  2. Analysis of the peak vertical displacement of liquid surface due to sloshing vol.313, pp.None, 2009, https://doi.org/10.1051/matecconf/202031300023
  3. Parallel Code Execution as a Tool for Enhancement of the Sustainable Design of Foundation Structures vol.13, pp.3, 2021, https://doi.org/10.3390/su13031145