DOI QR코드

DOI QR Code

Shape factor sγ for shallow footings

  • Puzakov, Viktor (Department of Civil Engineering, University of Minnesota) ;
  • Drescher, Andrew (Department of Civil Engineering, University of Minnesota) ;
  • Michalowski, Radoslaw L. (Department of Civil and Environmental Engineering, University of Michigan)
  • Received : 2008.12.18
  • Accepted : 2009.04.23
  • Published : 2009.06.25

Abstract

The results of FLAC3D-based numerical evaluation of the bearing capacity shape factor $s_{\gamma}$ are presented for square and rectangular footings on granular soils. The results confirm a peculiar effect found earlier by Zhu and Michalowski (2005), where for large values of internal friction angle, $s_{\gamma}$ exhibits a peak at some aspect ratio of the footing, and then decreases towards unity at large aspect ratios. The Zhu and Michalowski's results were derived using the finite element program ABAQUS, and the results presented in this note corroborate their earlier findings.

Keywords

References

  1. Bolton, M.D. and Lau, C.K. (1993), "Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil", Can. Geotech. J., 30(6), 1024-1033. https://doi.org/10.1139/t93-099
  2. De Beer, E.E. (1970), "Experimental determination of the shape factors and the bearing capacity factors of sand", Geotechnique, 20, 387-411. https://doi.org/10.1680/geot.1970.20.4.387
  3. Erickson, H.L. and Drescher, A. (2002), "Bearing capacity of circular footings", J. Geotech. Geoenviron. Eng., 128(1), 38-43. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:1(38)
  4. FLAC3D (1997), "Fast Lagrangian Analysis of Continua in 3 Dimensions", Itasca Consulting Group, Minneapolis.
  5. Golder, H.Q. (1941), "The ultimate bearing pressure of rectangular footings", J. Inst.Civ. Eng., 17(2), 161-174. https://doi.org/10.1680/ijoti.1941.13728
  6. Hansen, J.B. (1970), "A revised and extended formula for bearing capacity", Geoteknisk Inst., Bulletin 28, 5-11.
  7. Lyamin, A.V., Salgado, R., Sloan, S.W. and Prezzi, M. (2007). "Two- and three-dimensional bearing capacity of footings in sand", Geotechnique, 57(8), 647-662. https://doi.org/10.1680/geot.2007.57.8.647
  8. Martin, C.M. (2005), "Exact bearing capacity calculations using the method of characteristics", Issues lecture, Proceedings of the 11th International Conference of IACMAG, Turin, 4, 441-450.
  9. Meyerhof, G.G. (1963), "Some recent research on the bearing capacity of foundations", Can. Geotech. J., 1(1), 16-26. https://doi.org/10.1139/t63-003
  10. Michalowski, R.L. (1997), "An estimate of the influence of soil weight on bearing capacity using limit analysis", Soils Found., 37(4), 57-64. https://doi.org/10.3208/sandf.37.4_57
  11. Michalowski, R.L. (2001), "Upper-bound load estimates on square and rectangular footings", Geotechnique, 51(9), 787-798. https://doi.org/10.1680/geot.2001.51.9.787
  12. Michalowski, R.L. and Dawson, E.M. (2002a), "Three-dimensional analysis of limit loads on Mohr-Coulomb soil", Foundations of Civil and Environmental Engineering (FCEE), Poznan University of Technology 1, 137-147.
  13. Michalowski, R.L. and Dawson, E.M. (2002b), "Ultimate loads on square footings", Proceedings of the 8th International Symposium on Numerical Models in Geomechanics (NUMOG V111), Rome, Balkema, Rottderdam, The Netherlands, 415-418.
  14. Radenkovic, D. (1962), "Theorie des charges limites extension a la mecanique des sols", Seminaire de Plasticite. Ecole Polytechnique, 1961, 129-141.
  15. Zhu, M. and Michalowski, R.L. (2005), "Shape Factors for Limit Loads on Square and Rectangular Footings", J. Geotech. Geoenviron. Eng., ASCE, 131(2), 223-231. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:2(223)

Cited by

  1. Bearing capacity of square spudcan of jack-up rig based on a three-dimensional failure mechanism vol.9, pp.2, 2014, https://doi.org/10.1080/17445302.2012.752126
  2. Spudcan Design under Combined Load in Southwestern Sea of Korea vol.17, pp.10, 2016, https://doi.org/10.14481/jkges.2016.17.10.13
  3. Stability of Footings Adjacent to Pile Walls vol.15, pp.6, 2015, https://doi.org/10.1061/(ASCE)GM.1943-5622.0000480
  4. An upper bound-based solution for the shape factors of bearing capacity of footings under drained conditions using a parallelized mixed f.e. formulation with quadratic velocity fields vol.41, 2012, https://doi.org/10.1016/j.compgeo.2011.11.003
  5. Collapse loads for rectangular foundations by three-dimensional upper bound limit analysis using radial point interpolation method pp.03639061, 2018, https://doi.org/10.1002/nag.2885
  6. Variability of subgrade reaction modulus on flexible mat foundation vol.13, pp.5, 2009, https://doi.org/10.12989/gae.2017.13.5.757
  7. Effect of Intermediate Principal Stress on the Bearing Capacity of Footings in Soft Rock vol.11, pp.9, 2009, https://doi.org/10.3390/coatings11091019