Undrained Bearing Capacity of Two-Strip Footings on Spatially Random Soil
Publication: International Journal of Geomechanics
Volume 6, Issue 6
Abstract
A probabilistic study on the interference of two parallel rough rigid strip footings on a weightless soil with a randomly distributed undrained shear strength performed. The problem is studied using the random finite element method, where nonlinear finite element analysis is merged with random field theory within a Monte Carlo framework. The variability of undrained shear strength is characterized by a lognormal distribution and an exponentially decaying spatial correlation length. The estimated bearing capacity statistics of isolated and two footings cases are compared and the effect of footing interference discussed. Although interference between footings on frictionless materials is not very great, the effect is shown to be increased by soil variability and spatial correlation length.
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Acknowledgments
The writers acknowledge the support of NSF Grant No. NSFCMS-0408150.
References
Beacher, G. B., and Ingra, T. S. (1981). “Stochastic FEM in settlement predictions.” J. Geotech. Engrg. Div., 107(4), 449–463.
Das, B. M., and Larbi-Cherif, S. (1983). “Bearing capacity of two closely-spaced shallow foundations on sand.” Soils Found., 23(1), 1–7.
Dembicki, E., Odrobinski, W., and Mrozek, W. (1981). “Bearing capacity of subsoil under strip foundations.” Proc., 10th Int. Conf. of Soil Mechanics and Foundation Engineering, Vol. 2, 91–94.
Deshmukh, A. M. (1978). “Interaction of different types of footings on sand.” Indian Geotechnical J., 8(4), 193–204.
Fenton, G. A. (1994). “Error evaluation of three random field generators.” J. Eng. Mech., 120(12), 2478–2497.
Fenton, G. A., and Griffiths, D. V. (1993). “Statistics of block conductivity through a simple bounded stochastic medium.” Water Resour. Res., 29(6), 1825–1830.
Fenton, G. A., and Griffiths, D. V. (2000). “Bearing capacity of spatially random soils.” PMC2000 Conf., Univ. of Notre Dame, Notre Dame, Ind.
Fenton, G. A., and Griffiths, D. V. (2002). “Probabilistic foundation settlement on spatially random soil.” J. Geotech. Geoenviron. Eng., 128(5), 381–390.
Fenton, G. A., and Griffiths, D. V. (2003). “Bearing capacity prediction of spatially random soils.” Can. Geotech. J., 40(1), 54–65.
Fenton, G. A., and Vanmarcke, E. H. (1990). “Simulation of random fields via local average subdivision.” J. Eng. Mech., 116(8), 1733–1749.
Graham, J., Raymond, G. P., and Suppiah, A. (1984). “Bearing capacity of three closely-spaced footings on sand.” Geotechnique, 34(2), 173–182.
Griffiths, D. V., and Fenton, G. A. (1993), “Seepage beneath water retaining structures founded on spatially random soil.” Geotechnique, 43(4), 577–587.
Griffiths, D. V., and Fenton, G. A. (2000). Bearing capacity of heterogeneous soils by finite elements.” Memorias Del V Congreso Internacional De Métodos Numéricos En Ingeniería Y Ciencias Aplicadas, N. Troyani and M. Cerrolaza, eds., Puerto La Cruz, Venezuela, CI27–CI37.
Griffiths, D. V., and Fenton, G. A. (2001). “Bearing capacity of spatially random soil: The undrained clay Prandtl problem revisited.” Geotechnique, 51(4), 351–359.
Griffiths, D. V., and Fenton, G. A. (2004). “Probabilistic slope stability analysis by finite elements.” J. Geotech. Geoenviron. Eng., 130(5), 507–518.
Lee, I. K., White, W., and Ingles, O. G. (1983). Geotechnical engineering, Pitman, London.
Lemaire, M., Favre, J.-L., and Mebarki, A., eds. (1995). Proc., Int. Congress on Applications of Statistics and Probability, Balkema, Rotterdam, The Netherlands.
Li, K. S., and Lo, S-C. R., eds. (1993). Probabilistic methods in geotechnical engineering, Balkema, Rotterdam, The Netherlands.
Mandel, J. (1965). “Interférence plastique de semelles filantes.” Proc., 6th. Int. Conf. Soil Mechanics and Foundation Engineering, Vol. 2, 127–131.
Mostyn, G. R., and Li, K. S. (1993). “Probabilistic slope analysis: State-of-play.” Probabilistic methods in geotechnical engineering, K. S. Li and S.-C. R. Lo, eds., Balkema, Rotterdam, The Netherlands, 89–109.
Nobahar, A., and Popescu, P. (2001). “Effects of spatial variability of soil properties on bearing capacity.” Proc., 10th Int. Conf. Computer Methods and Advances in Geomechanics, C. S. Desai, T. Kundu, S. Harpalani, D. Contractor, and J. Kemeny, eds., Tucson, Ariz., 1479–1484.
Patankar, M. V., and Khadilkar, B. S. (1981). “Nonlinear analysis of interference of three surface strip footings by finite element method.” Indian Geotechnical J., 11(4), 327–344.
Phoon, K-K., Kulhawy, F. H., and Grigoriu, M. D. (2000). “Reliability-based design for transmission line structure foundations.” Comput. Geotech., 26(3–4), 169–185.
Pula, W., ed. (2000). “Special issue on reliability in geotechnics.” Comput. Geotech., 26(3–4), 169–346.
Saran, S., and Agarwal, V. C. (1974). “Interference of surface footings in sands.” Indian Geotechnical J., 4(2), 129–139.
Selvadurai, A. P. S., and Rabbaa, S. A. A. (1983). “Some experimental studies concerning the contact stresses beneath interfering rigid strip foundations resting on a granular stratum.” Can. Geotech. J., 20(3), 406–415.
Shackelford, C. D., Nelson, P. P., and Roth, M. J. S., eds. (1996). “Uncertainty in the geologic environment: From theory to practice.” Proc., Uncertainty ’96, ASCE, GSP No. 58, Madison, Wis.
Smith, I. M., and Griffiths, D. V. (2004). Programming the finite element method, 4th Ed., Wiley, Chichester, N.Y.
Stuart, J. G. (1962). “Interference between foundations, with special reference to surface footings in sand.” Geotechnique, 12(1), 15–22.
Vanmarcke, E. H. (1977). “Probabilistic modeling of soil profiles.” J. Geotech. Engrg. Div., 103(11), 1227–1246.
West, J. M., and Stuart, J. G. (1965). “Oblique loading resulting from interference between surface footings on sand.” Proc., 6th Int. Conf. Soil Mechanics and Foundation Engineering, Vol. 2, 214–217.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 6 • Issue 6 • November 2006
Pages: 421 - 427
Copyright
© 2006 ASCE.
History
Received: May 4, 2005
Accepted: Jun 14, 2005
Published online: Nov 1, 2006
Published in print: Nov 2006
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