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Effect of stress level on the bearing capacity factor, N γ , by the ZEL method

  • Geotechnical Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

It has been known that soil shear strength parameters are stress level dependent. On the other hand, foundation size has a significant effect on the level of imposed stress on subsoil elements. In this study, the Zero Extension Lines (ZEL) method, which has wide applications in determination of bearing capacity and load-displacement behavior of foundations and retaining walls, is employed to consider the stress level dependent nature of soil shear strength parameters to predict the actual bearing capacity of foundations. The ZEL equations which are capable of considering variations in soil shear strength parameters have been employed to consider their dependency on stress level and solved numerically by a computer code developed for this study. The presented approach has been compared with experimental data showing reasonable predictions when the effect of stress level is taken into account. It is then utilized to develop some design charts showing modified values of N γ , as a function of foundation size and soil properties based on Bolton (1986) equation for stress level effect in cases of smooth and rough base foundations. The charts represent the decreasing tendency in N γ with an increase in foundation size and it shows the decreasing tendency in the reduction rate when the foundation size increases.

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References

  • Anvar, S. A. and Ghahramani, A. (1997). “Equilibrium equations on zero extension lines and their application to soil engineering.” Iranian Journal of Science and Technology (IJST), Shiraz University Press, Transaction B, Vol. 21, No. 1, pp. 11–34.

    Google Scholar 

  • Bolton, M. D. (1986). “The strength and dilatancy of sands.” Géotechnique, Vol. 36, No. 1, pp. 65–78.

    Article  Google Scholar 

  • Bolton, M. D. and Lau, C. K. (1989). “Scale effect in the bearing capacity of granular soils.” Proc. 12 th Int. Conf. Soil Mech. Found. Eng., Rio De Janeiro, Brazil, Vol. 2, pp. 895–898.

    Google Scholar 

  • Bolton, M. D. and Lau, C. K. (1993). “Vertical bearing capacity factors for circular and strip footings on mohr-coulomb soil.” Can. Geotech. J., Vol. 30, pp. 1024–1033.

    Article  Google Scholar 

  • Bowles, J. E. (1996). Foundation analysis and design. 5th Ed., McGraw-Hill Companies, Inc.

  • Briaud, J.-L. and Jeanjean, P. (1994). “Load settlement curve method for spread footings on sand.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 133, No. 8, pp. 905–920.

    Article  Google Scholar 

  • Briaud, J.-L. and Gibbens, R. M. (1999). “Behavior of five large spread footings in sand.” Journal of Geotechnical and Geoenviron- mental Engineering, ASCE, Vol. 125, No. 9, pp. 787–796.

    Article  Google Scholar 

  • Budhu, M. (2007). Soil mechanics and foundations, 2nd Ed., John Wiley and Sons, Inc.

  • Cerato, A. B. (2005). Scale Effect of shallow foundation bearing capacity on granular material, PhD Dissertation, University of Massachusetts Amherst, U.S.A.

    Google Scholar 

  • Cerato, A. B. and Lutenegger, A. J. (2006) “Bearing capacity of square and circular footings on a finite layer of granular soil underlain by a rigid base.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 132, No. 11, Nov. 2006, pp.1496–1501.

    Article  Google Scholar 

  • Cerato, A. B. and Lutenegger, A. J. (2007). “Scale effect of shallow foundation bearing capacity on granular material.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 133, No. 10, pp. 1192–1202.

    Article  Google Scholar 

  • Clark, J. I. (1998). “The settlement and bearing capacity of very large foundations on strong soils: 1996 R.M. Hardy keynote address.” Can. Geotech. J., Vol. 35, pp. 131–145.

    Article  Google Scholar 

  • Davis, E. H. and Booker, J. R. (1971). “The bearing capacity of strip footings from the standpoint of plasticity theory.” Proc. 1st Australian-New Zealand Conference in Geomechanics, Melbourne, Australia, pp. 276–282.

  • Davis, R. O. and Selvadurai, A. P. S. (2002). Plasticity and geomechanics, Cambridge University Press.

  • De Beer, E. E. (1965). “Bearing capacity and settlement of shallow foundations on sand.” Proc. of the Bearing Capacity and Settlement of Foundations Symposium, Duke University, Durham, N. C., pp.15–34.

    Google Scholar 

  • Eslami, A., Fellenius, B. H., and Veiskarami, M. (2004). “Problems on determination of shallow foundations bearing pressure by analytical approach.” Proc. 1st National Congress of Civil Engineering (NCCE, 2004), Sharif University of Technology, Tehran, Iran.

    Google Scholar 

  • Fellenius, B. H. (1999). “Bearing capacity of footings and piles-A delusion?” DFI Annual Meeting, October 14–16, 1999, Dearborn, Michigan, U.S.A., pp.1–17.

  • Fellenius, B. H. and Altaee, A. (1994). “Stress and settlement of footings in sand.” Proc. Conference on Vertical and Horizontal Deformations for Foundations and Embankments, ASCE, Geotechnical Special Publication, GSP, No. 40, College Station, TX, Vol. 2, pp. 1760–1773.

    Google Scholar 

  • Gan, J. K. M., Fredlund, D. G., and Rahardjo, H. (1988). “Determination of the shear strength parameters of an unsaturated soil using the direct shear test.” Can. Geotech. J., Vol. 35, pp. 500–510.

    Article  Google Scholar 

  • Ghahramani, A. and Clemence, S. P. (1980). “Zero extension line theory of dynamic passive pressure.” Journal of the Geotechnical Engineering Division, ASCE, Vol. 106, No. 6, pp. 631–644.

    Google Scholar 

  • Habibagahi, K. and Ghahramani, A. (1979). “Zero extension line theory of earth pressure.” Journal of the Geotechnical Engineering Division, ASCE, Vol. 105, No. GT7, pp. 881–896.

    Google Scholar 

  • Hansen, B. and Odgaard, D. (1960). “Bearing capacity tests on circular plates on sand.” The Danish Geotechnical Institute: Bulletin No. 8.

  • Holtz, R. D. and Kovacs, W. D. (1981). An introduction to geotechnical engineering, Prentice-Hall Inc., p. 733.

  • Ismael, N. F. (1985). “Allowable pressure from loading tests on kuwaiti soils.” Can. Geotech. J., Vol. 22, pp. 151–157.

    Article  Google Scholar 

  • Jahanandish, M. (1988). Zero extension line net and its application in soil mechanics, M.Sc. Thesis, Shiraz University, Shiraz, Iran.

    Google Scholar 

  • Jahanandish, M. (2003). “Development of a zero extension line method for axially symmetric problems in soil mechanics.” Scientia Iranica Journal, Sharif University of Technology Press., Vol. 10, No. 2, pp.1–8.

    Google Scholar 

  • Jahanandish, M. and Eslami Haghighat, A. (2003). “Load-deformation behavior of strip footings on soils by the zero extension line method.” Proc. 6th Int. Conf. Civil Eng. (ICCE), May 5–7, Isafahan University of Technology, Isfahan, Iran, Vol. 7, pp. 389–396.

    Google Scholar 

  • Jahanandish, M. and Eslami Haghighat, A. (2004). “Analysis of boundary value problems in soil plasticity assuming non-coaxiality.” Iranian Journal of Science and Technology (IJST), Shiraz University Press., Transaction B, Vol. 28, No. B5, pp. 583–594.

    Google Scholar 

  • Jahanandish, M., Behpoor, L. and Ghahramani, A. (1989). “Load-displacement characteristics of retaining walls.” Proc. 12th Int’l Conf. Soil Mech. Fnd. Engng., Rio de Janeiro, Brazil, Vol. 1, pp. 243–246.

    Google Scholar 

  • James, R. G. and Bransby, P. L. (1971). “A velocity field for some passive earth pressure problems.” Géotechnique, Vol. 21, No. 1, pp. 61–83.

    Article  Google Scholar 

  • Kimura, T., Kusakabe, O., and Saitoh, K. (1985). “Geotechnical model tests of bearing capacity problems in a centrifuge.” Géotechnique, Vol. 35, No. 1, pp. 33–45.

    Article  Google Scholar 

  • Kumar, J. and Khatri, V. N. (2008). “Effect of footing width on bearing capacity factor Ng.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 134, No. 9, pp. 1299–1310.

    Article  Google Scholar 

  • Kumar, J. and Kouzer, K. M. (2007). “Effect of footing roughness on the bearing capacity factor Ng.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 133, No. 5, pp. 502–511.

    Article  Google Scholar 

  • Kumar, J., Raju, K. V. S. B., and Kumar, A. (2007). “Relationships between rate of dilation, peak and critical state friction angles.” Indian Geotechnical Journal, Vol. 37, No. 1, pp. 53–63.

    Google Scholar 

  • Lee, K. L. and Seed, H. B. (1967). “Drained strength characteristics of sands.” Journal of the Soil Mechanics and Foundations Division, ASCE. Vol. 93, No. SM6, pp. 117–141.

    Google Scholar 

  • Maeda, K. and Miura, K. (1999). “Confining stress dependency of mechanical properties of sands.” Soils and Foundations, Vol. 39, No. 1, pp. 53–67.

    Google Scholar 

  • Meyerhof, G. G. (1950). The bearing capacity of sand, PhD Thesis, University of London, London, England.

    Google Scholar 

  • Meyerhof, G. G. (1951). “The ultimate bearing capacity of foundations.” Géotechnique, Vol. 2, No. 4, pp. 301–332.

    Article  Google Scholar 

  • Michalowski, R.L. (1997). “An estimate of the influence of soil weight on bearing capacity using limit analysis.” Soils and Foundations, Japanese Geotechnical Society, Vol. 37, No. 4, pp. 57–64.

    Google Scholar 

  • Roscoe, K. H. (1970). “The influence of strains in soil mechanics.” Tenth Rankine Lecture, Géotechnique, Vol. 20, No. 2, pp. 129–170.

    Google Scholar 

  • Vesic’, A. S. (1973). “Analysis of ultimate loads of shallow foundations.” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol. 99, No.1, pp. 45–73.

    Google Scholar 

  • Yamamoto, N., Randolph, M. F., and Einav, I. (2009). “Numerical study of the effect of foundation size for a wide range of sands.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 135, No. 1, pp. 37–45.

    Article  Google Scholar 

  • Zhu, F., Clark, J. I., and Phillips, R. (2001). “Scale effect of strip and circular footings resting on dense sand.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol. 127, No. 7, pp. 613–621.

    Article  Google Scholar 

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Authors and Affiliations

  1. Dept. of Civil Engineering, Shiraz University, Shiraz, 71345-1585, Iran

    M. Jahanandish & A. Ghahramani

  2. Shiraz University, Shiraz, 71345-1585, Iran

    M. Veiskarami

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  1. M. Jahanandish
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  2. M. Veiskarami
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  3. A. Ghahramani
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Correspondence to M. Veiskarami.

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Jahanandish, M., Veiskarami, M. & Ghahramani, A. Effect of stress level on the bearing capacity factor, N γ , by the ZEL method. KSCE J Civ Eng 14, 709–723 (2010). https://doi.org/10.1007/s12205-010-0866-1

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  • DOI: https://doi.org/10.1007/s12205-010-0866-1

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