Effect of Footing Width on Bearing Capacity Factor for Smooth Strip Footings
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 134, Issue 9
Abstract
By incorporating the variation of soil friction angle with mean principal stress , the effect of footing width on bearing capacity factor was examined for a smooth strip footing placed on a granular medium without any surcharge pressure. The analysis was performed by means of a numerical lower bound limit analysis in conjunction with finite-elements and linear programming. An iterative computational procedure was framed to account for the dependency of on . Two well-defined curves from literature associated with Hoston and Toyora sands, corresponding to relative density of 18 and 74.5%, respectively, were used. The magnitude of was obtained for different footing widths, covering almost the entire range of model and field footing sizes. It was noted that for greater than about , it is possible to relate with approximately in a linear fashion on a log–log scale. Further, it was seen that if an average value of along the footing–soil interface is obtained, it is possible to estimate a reasonable magnitude of for a given footing width provided the relationship between and is specified for the given material.
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References
Bolton, M. D. (1986). “Strength and dilatancy of sands.” Geotechnique, 36(1), 65–78.
Bolton, M. D., and Lau, C. K. (1989). “Scale effects in the bearing capacity of granular soils.” Proc., 12th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 2, Balkema, Rio de Janeiro, 895–898.
Bottero, A., Negre, R., Pastor, J., and Turgeman, S. (1980). “Finite-element method and limit analysis theory for soil mechanics problem.” Comput. Methods Appl. Mech. Eng., 22(1), 131–149.
Clark, J. I. (1998). “The settlement and bearing capacity of very large foundations on strong soils: The 1996 R. M. Hardy lecture.” Can. Geotech. J., 35(1), 131–145.
De Beer, E. E. (1965). “Bearing capacity and settlement of shallow foundations on sand.” Proc., Bearing Capacity and Settlement of Foundations Symp., Duke University, Durham, 15–34.
Fukushima, S., and Tatsuoka, F. (1984). “Strength and deformation characteristics of saturated sand at extremely low pressure.” Soils Found., 24(4), 30–48.
Graham, J., and Stuart, J. G. (1971). “Scale and boundary effects in foundation analysis.” J. Soil Mech. and Found. Div., 97(11), 1533–1548.
Hansen, J. B. (1970). “A revised and extended formula for bearing capacity.” Bulletin No. 28, Danish Geotechnical Institute, Copenhagen, Denmark.
Hettler, A., and Gudehus, G. (1989). “Influence of the foundation width on the bearing capacity factor.” Soils Found., 38(4), 81–92.
Hirano, H. (1994). “Loading tests of shallow foundation using centrifuge.” Bachelor thesis, Utsunomiya University, Utsunomiya, Japan (in Japanese).
Hjiaj, M., Lyamin, A. V., and Sloan, S. W. (2005). “Numerical limit analysis solutions for the bearing capacity factor .” Int. J. Solids Struct., 42(5), 1681–1704.
Kumar, J., and Kouzer, K. M. (2007). “Effect of footing roughness on bearing capacity factor .” J. Geotech. Geoenviron. Eng., 133(5), 502–511.
Kusakabe, O., Yamaguchi, H., and Morikage, A. (1991). “Experiment and analysis of scale effect of for circular and rectangular footings.” Proc., Int. Conf. on Centrifuge, Balkema, Rotterdam, The Netherlands, 179–186.
Kutter, B. L., Abghari, A., and Cheney, J. A. (1988). “Strength parameters for bearing capacity of sand.” J. Geotech. Engrg., 114(4), 491–498.
Kumar, J. and Rao, V. B. K. M. (2002). “Seismic bearing capacity factors for spread foundation.” Geotechnique, 52(2), 79–88.
Lancelot, L., Shahrour, I., and Al Mahmoud, M. (2006). “Failure and dilatancy properties of sand at relatively low stresses.” J. Eng. Mech., 132(12), 1396–1399.
Maeda, K., and Miura, K. (1999). “Confining stress dependency of mechanical properties of sands.” Soils Found., 39(1), 53–67.
Okahara, M., Takagi, S., Obata, H., Mori, K., and Tatsuta, M. (1988). “Centrifuge tests on scale effect of bearing capacity.” Proc., 42nd Japan Annual Conf. of Civil Engineers, Vol. III, Japan, 250–251 (in Japanese).
Ovesen, N. K. (1979). “The use of physical models in design.” Proc., 7th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 4, 319–323.
Perkins, S. W., and Madson, C. R. (2000). “Bearing capacity of shallow foundations on sand: A relative density approach.” J. Geotech. Geoenviron. Eng., 126(6), 521–530.
Shiraishi, S. (1990). “Variation in bearing capacity factors of dense sand assessed by model loading tests.” Soils Found., 30(1), 17–26.
Sloan, S. W. (1988). “Lower bound limit analysis using finite-elements and linear programming.” Int. J. Numer. Analyt. Meth. Geomech., 12(1), 61–77.
Ueno, K., Miura, K., Kusakabe, O., and Nishimura, M. (2001). “Reappraisal of size effect of bearing capacity from plastic solution.” J. Geotech. Geoenviron. Eng., 127 (3), 275–281.
Ueno, K., Miura, K., and Maeda, Y. (1998). “Prediction of ultimate bearing capacity of surface footings with regard to size effect.” Soils Found., 38(3), 165–178.
Ueno, K., Nakatomi, T., Mito, K., and Kusakabe, O. (1994). “Influence of initial conditions on bearing characteristics of sand.” Proc., Int. Conf. on Centrifuge, Balkema, Rotterdam, The Netherlands, 541–546.
Zhu, F., Clark, J. I., and Phillips, R. (1998). “Bearing capacity of ring foundations under vertical load.” Proc., Int. Conf. on Centrifuge ’98, T. Kimura, O. Kusakabe, and T. Takemura, eds., Balkema, Rotterdam, The Netherlands, 441–446.
Zhu, F., Clark, J. I., and Phillips, R. (2001). “Scale effect of strip and circular footings resting on dense sand.” J. Geotech. Geoenviron. Eng., 127(7), 613–621.
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© 2008 ASCE.
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Received: Aug 20, 2007
Accepted: Feb 13, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008
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