Bearing Capacity of Strip Foundations in Reinforced Soils
Publication: International Journal of Geomechanics
Volume 14, Issue 1
Abstract
A method is proposed to determine the ultimate bearing capacity of a strip footing placed over granular and cohesive-frictional soils that are reinforced with horizontal layers of reinforcements. The reinforcement sheet is assumed to resist axial tension but not bending moment. The analysis was performed by using the lower bound theorem of the limit analysis in combination with finite elements. A single layer and a group of two layers of reinforcements were considered. The efficiency factors and that need to be multiplied with the respective bearing capacity factor and to account for the inclusion of the reinforcements were established. The results were obtained for different values of the soil internal friction angle (). The critical positions of the reinforcements, which would result in a maximum increase in the bearing capacity, were established. The required tensile strength of the reinforcement to avoid its breakage during the loading of the foundation was also computed. The results from the analysis were compared with those available in the literature.
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References
Adams, M. T., and Collin, J. G. (1997). “Large model spread footing load tests on geosynthetic reinforced soil foundations.” J. Geotech. Geoenviron. Eng., 66–72.
Anthoine, A. (1989). “Mixed modelling of reinforced soils within the framework of the yield design theory.” Comput. Geotech., 7(1–2), 67–82.
Asaoka, A., Kodaka, T., and Pokhaerl, G. (1994). “Stability analysis of reinforced soil structures using rigid plastic finite element method.” Soils Found., 34(1), 107–118.
ASTM. (2011). “Standard specification for steel sheet, zinc-coated (galvanized) or zinc-iron alloy-coated (galvannealed) by the hot-dip process.” A653/A653M, West Conshohocken, Pa.
Binquet, J., and Lee, K. L. (1975). “Bearing capacity tests on reinforced earth slabs.” J. Geotech. Engrg. Div., 101(12), 1241–1255.
Blatz, J. A., and Bathurst, R. J. (2003). “Limit equilibrium analysis of reinforced and unreinforced embankments loaded by a strip footing.” Can. Geotech. J., 40(6), 1084–1092.
Bolton, M. D., and Lau, C. K. (1993). “Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil.” Can. Geotech. J., 30(6), 1024–1033.
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.
Das, B. M., and Omar, M. T. (1994). “The effects of foundation width on model tests for the bearing capacity of sand with geogrid reinforcement.” Geotech. Geol. Eng., 12(2), 133–141.
Das, B. M., Shin, E. C., and Omar, M. T. (1994). “The bearing capacity of surface strip foundation on geogrid-reinforced sand and clay—A comparative study.” Geotech. Geol. Eng., 12(1), 1–14.
Dash, S. K., Rajagopal, K., and Krishnaswamy, N. R. (2004). “Performance of different geosynthetic reinforcement materials in sand foundations.” Geosynth. Int., 11(1), 35–42.
Deb, K., Sivakugan, N., Chandra, S., and Basudhar, P. K. (2007). “Numerical analysis of multilayer geosynthetic-reinforced granular bed over soft fill.” Geotech. Geol. Eng., 25(6), 639–646.
Fragaszy, R., and Lawton, E. (1984). “Bearing capacity of reinforced sand subgrades.” J. Geotech. Engrg., 1500–1507.
Gourvenec, S., Randolph, M., and Kingsnorth, O. (2006). “Undrained bearing capacity of square and rectangular footings.” Int. J. Geomech., 147–157.
Griffiths, D. V. (1982). “Computation of bearing capacity factors using finite elements.” Geotechnique, 32(3), 195–202.
Griffiths, D. V., Fenton, G. A., and Manoharan, N. (2006). “Undrained bearing capacity of two-strip footings on spatially random soil.” Int. J. Geomech., 421–427.
Guido, V. A., Chang, D. K., and Sweeney, M. A. (1986). “Comparison of geogrid and geotextile reinforced earth slabs.” Can. Geotech. J., 23(4), 435–440.
Jewell, R. A. (1990). “Reinforcement bond capacity.” Geotechnique, 40(3), 513–518.
Jewell, R. A., Milligan, G. W. E., Sarsby, R. W., and Dubois, D. (1984). “Interaction between soil and geogrids.” Proc., Symp. on Polymer Grid Reinforcement, Thomas Telford, London, 18–30.
Khing, K., Das, B. M., Puri, V. K., Cook, E. E., and Yen, S. C. (1993). “The bearing capacity of a strip foundation on geogrid-reinforced sand.” Geotext. Geomembr., 12(4), 351–361.
Kumar, J. (2009). “The variation of with footing roughness using the method of characteristics.” Int. J. Numer. Anal. Methods Geomech., 33(2), 275–284.
Kumar, J., and Khatri, V. N. (2008). “Effect of footing roughness on lower bound values.” Int. J. Geomech., 176–187.
MATLAB 7.9 [Computer software]. Natick, MA, MathWorks.
Meyerhof, G. G. (1963). “Some recent research on the bearing capacity of foundations.” Can. Geotech. J., 1(1), 16–26.
Michalowski, R. L. (2004). “Limit loads on reinforced foundation soils.” J. Geotech. Geoenviron. Eng., 381–390.
Michalowski, R. L., and Zhao, A. (1995). “Continuum versus structural approach to stability of reinforced soil.” J. Geotech. Engrg., 152–162.
Omar, M. T., Das, B. M., Puri, V. K., and Yen, S. C. (1993). “Ultimate bearing capacity of shallow foundations on sand with geogrid reinforcement.” Can. Geotech. J., 30(3), 545–549.
Otani, J., Ochiai, H., and Yamamoto, K. (1998). “Bearing capacity analysis of reinforced foundations on cohesive soil.” Geotext. Geomembr., 16(4), 195–206.
Rodriguez-Gutierrez, J. A., and Aristizabal-Ochoa, J. D. (2012a). “Rigid spread footings resting on soil subjected to axial load and biaxial bending. I: Simplified analytical method.” Int. J. Geomech., 109–119.
Rodriguez-Gutierrez, J. A., and Aristizabal-Ochoa, J. D. (2012b). “Rigid spread footings resting on soil subjected to axial load and biaxial bending. II: Design aids.” Int. J. Geomech., 120–131.
Shin, E. C., Das, B. M., Puri, V. K., Yen, S.-C., and Cook, E. E. (1993). “Bearing capacity of strip foundation on geogrid-reinforced clay.” J. ASTM Geotech Test., 16(4), 534–541.
Sloan, S. W. (1988). “Lower bound limit analysis using finite elements and linear programming.” Int. J. Numer. Anal. Methods Geomech., 12(1), 61–77.
Sugimoto, M., and Alagiyawanna, A. M. N. (2003). “Pullout behavior of geogrid by test and numerical analysis.” J. Geotech. Geoenviron. Eng., 361–371.
Terzaghi, K. (1943). Theoretical soil mechanics, Wiley, New York.
Ukritchon, B., Whittle, A. W., and Klangvijit, C. (2003). “Calculation of bearing capacity factor using numerical limit analysis.” J. Geotech. Geoenviron. Eng., 468–474.
Yamamoto, N., Randolph, M. F., and Einav, I. (2008). “Simple formulas for the response of shallow foundations on compressible sands.” Int. J. Geomech., 230–239.
Yu, H. S., and Sloan, S. W. (1997). “Finite element limit analysis of reinforced soils.” Comput. Struct., 63(3), 567–577.
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© 2014 American Society of Civil Engineers.
History
Received: May 23, 2012
Accepted: Dec 4, 2012
Published online: Dec 6, 2012
Published in print: Feb 1, 2014
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