Abstract
The ultimate bearing capacity of a new strip footing placed on a cohesionless soil medium, in the presence of an existing strip footing, the load on which is assumed to be known, has been determined. Both the footings are assumed to be perfectly rigid and rough. The analysis is carried out by using an upper bound finite element limit analysis. For different clear spacing (S) between the footings, the values of the efficiency factor (ξγ) were determined; where ξγ is defined as the ratio of the failure load for an interfering new footing of a given width (B) to that for a single isolated footing having the same width. For ϕ < 30°, it is generally noted that the magnitude of ξγ increases continuously with a decrease in S/B. For ϕ > 30°, on the other hand if the applied load on the existing footing is approximately greater than half the failure load for a single isolated footing having the same width, the peak magnitude of ξγ was found to occur at around S/B ≈ 0.1 rather than at S/B = 0. The increase in ξγ becomes further significant with an increase in the magnitude of the load on the existing footing.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bottero A, Negre R, Pastor J, Turgeman S (1980) Finite element method and limit analysis theory for soil mechanics problem. Comput Methods Appl Mech Eng 22(1):131–149
Bowles JE (1996) Foundation analysis and design, 5th edn. McGraw-Hill, New York
Chen WF (1975) Limit analysis and soil plasticity. Elsevier, Amsterdam
Chen WF, Liu XL (1990) Limit analysis in soil mechanics. Elsevier, Amsterdam
Das BM, Larbi-Cherif S (1983) Bearing capacity of two closely-spaced shallow foundations on sand. Soils Found 23(1):1–7
Hjiaj M, Lyamin AV, Sloan SW (2005) Numerical limit analysis solutions for the bearing capacity factor Nγ. Int J Solids Struct 42(5):1681–1704
Kumar J, Bhoi MK (2009) Interference of two closely spaced strip footings on sand using model tests. J Geotech Geoenviron Eng ASCE 135(4):595–604
Kumar J, Ghosh P (2007) Ultimate bearing capacity of two interfering rough strip footings. Int J Geomech ASCE 7(1):53–62
Kumar J, Kouzer KM (2007) Effect of footing roughness on bearing capacity factor Nγ. J Geotech Geoenviron Eng ASCE 133(5):502–511
Kumar J, Kouzer KM (2008) Bearing capacity of two interfering footings. Int J Numer Anal Methods Geomech WILEY 32(3):251–264
Kumar A, Saran S (2003) Closely spaced footings on geogrid-reinforced sand. J Geotech Geoenviron Eng ASCE 129(7):660–664
Saran S, Agarwal VC (1974) Interference of surface footings on sand. Indian Geotech J 4(2):129–139
Sloan SW (1989) Upper bound limit analysis using finite elements and linear programming. Int J Numer Anal Methods Geomech 13:263–282
Sloan SW, Kleeman PW (1995) Upper bound limit analysis using discontinuous velocity fields. Comput Methods Appl Mech Eng 127(1):293–314
Stuart JG (1962) Interference between foundations, with special reference to surface footings in sand. Géotechnique 12(1):15–22
Ukritchon B, Whittle AW, Klangvijit C (2003) Calculation of bearing capacity factor Nγ using numerical limit analysis. J Geotech Geoenviron Eng ASCE 129(7):468–474
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, 2: 214–217
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kouzer, K.M., Kumar, J. Ultimate Bearing Capacity of a Footing Considering the Interference of an Existing Footing on Sand. Geotech Geol Eng 28, 457–470 (2010). https://doi.org/10.1007/s10706-010-9305-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10706-010-9305-9