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Upper bound limit analysis for finding interference effect of two nearby strip footings on sand

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Abstract

The ultimate bearing capacity of two closely spaced strip footings, placed on a cohesionless medium and loaded simultaneously to failure at the same magnitude of failure load, was determined by using an upper bound limit analysis. A logarithmic spiral radial shear zone, comprising of a number of triangular rigid blocks, was assumed to exist around each footing edge. The equations of the logarithmic spiral arcs were based on angles φL and φR rather than soil friction angle φ; the values of φL and φR were gradually varied in between 0 and φ. The ultimate bearing capacity was found to become maximum corresponding to a certain critical spacing between the footings. For spacing greater than the critical, the bearing capacity was found to decrease continuously with increase in the spacing. The extent of the spacing corresponding to which the ultimate bearing capacity becomes either maximum or equal to that of a single isolated footing increases with increase in φ. The results compare reasonably well with the available theoretical and experimental data.

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References

  • Anderheggen E, Knöpfel H (1972) Finite element limit analysis using linear programming. Int J Solid Struct 8:1413–1431

    Article  Google Scholar 

  • Chen WF (1975) Limit analysis and soil plasticity. Elsevier, Amsterdam

    Google Scholar 

  • Das BM, Larbi-Cherif S (1983) Bearing capacity of two closely-spaced shallow foundations on sand. Soils Found 23(1):1–7

    Google Scholar 

  • Frydman S, Burd HJ (1997) Numerical studies of bearing capacity factor N γ. J Geotechnical Geoenviron Eng ASCE 123(1):20–29

    Article  Google Scholar 

  • Graham J, Raymond GP, Suppiah A (1984) Bearing capacity of three closely-spaced footings on sand. Géotechnique 34(2):173–182

    Google Scholar 

  • Kumar J (2004) Effect of footing-soil interface friction on bearing capacity factor N γ. Géotechnique 54(10):677–680

    Article  Google Scholar 

  • Kumar A, Saran S (2003) Closely spaced footings on geogrid-reinforced sand. J Geotechnical Geoenviron Eng ASCE 129(7):660–664

    Article  Google Scholar 

  • Michalowski RL (1997) An estimate of the influence of soil weight on bearing capacity using limit analysis. Soils Found 37(4):57–64

    Google Scholar 

  • Saran S, Agarwal VC (1974) Interference of surface footings on sand. Indian Geotechnical J 4(2):129–139

    Google Scholar 

  • Sloan SW (1989) Upper bound limit analysis using finite elements and linear programming. Int J Numer Anal Methods Geomechanics 13:263–282

    Article  Google Scholar 

  • Soubra AH (1999) Upper-bound solutions for bearing capacity of foundations. J Geotechnical Geoenviron Eng ASCE 125(1):59–68

    Article  Google Scholar 

  • Stuart JG (1962) Interference between foundations, with special reference to surface footings in sand. Géotechnique 12(1):15–22

    Article  Google Scholar 

  • Terzaghi K (1943) Theoretical soil mechanics. Wiley, New York

    Google Scholar 

  • West JM, Stuart JG (1965) Oblique loading resulting from interference between surface footings on sand. Proceedings of the 6th international conference on soil mechanics and foundation engineering, Montreal, vol. 2, pp. 214–217

  • Zhu D (2000) The least upper-bound solutions for bearing capacity factor N γ. Soils Found 40(1):123–129

    Google Scholar 

Download references

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Correspondence to Jyant Kumar.

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Kumar, J., Ghosh, P. Upper bound limit analysis for finding interference effect of two nearby strip footings on sand. Geotech Geol Eng 25, 499–507 (2007). https://doi.org/10.1007/s10706-007-9124-9

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  • DOI: https://doi.org/10.1007/s10706-007-9124-9

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