Technical Papers
Dec 17, 2019

Bearing Capacity of Shallow Foundations on Unsaturated Soils: Analytical Approach with 3D Numerical Simulations and Experimental Validations

Publication: International Journal of Geomechanics
Volume 20, Issue 3

Abstract

The ultimate bearing capacity of shallow foundations on unsaturated soils is investigated through the concept of suction-dependent effective stress. The first approach is a new analytical solution considering the influence of matric suction on ultimate bearing capacity by extending Vesic’s solution for saturated soils. Accordingly, a modification factor has been introduced as a nonlinear function of matric suction for tuning the cohesion-dependent component in the bearing capacity equation. The second approach is incorporating the unsaturated effective stress state in conjunction with the suction-dependent cohesion into a three-dimensional (3D) finite-difference code. In developing the 3D simulations, the variation in matric suction versus the depth of the soil was considered as well as the dependency of the degree of saturation on the soil suction. In addition, in three-dimensional numerical analyses, the input material parameters were modified to take into account the suction-stress concept in unsaturated soils. To assess the validity of the analytical and numerical approaches, four series of experimental data from physical plate load tests conducted under different matric suctions and embedment depths of the footing were selected. Accordingly, water retention curves of different test materials were considered as key input parameters used in both approaches to improve model predictions. Results from the analytical approach show the dependency of the presented correction factor on the soil properties, geometrical aspects of the foundation, and its embedding depth. In addition, the 3D numerical simulation revealed the suitable functionality of the effective stress approach on predicting the load-displacement behavior of shallow foundations on unsaturated soils. Moreover, the comparison between analytical, numerical, and experimental data shows a good conformance between the experimental test results, analytical solutions, and numerical predictions, especially for sandy soils.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request, as:
Generated codes with FLAC3D.
Constructed models with FLAC3D.

Acknowledgments

This research has been financially supported by Sharif University of Technology, which is greatly acknowledged. In addition, the first author would like to appreciate the Niroo Research Institute for providing him with the opportunity to contribute in this research.

References

ASTM. 1993. Standard test method for repetitive static plate load tests of soils and flexible pavement components, for use in evaluation and design of airport and highway pavements. ASTM D1195. West Conshohocken, PA: ASTM.
ASTM. 1994. Standard test method for bearing capacity of soil for static load and spread footings. ASTM D1194. West Conshohocken, PA: ASTM.
Bishop, A. W. 1959. “The principle of effective stress.” Teknisk Ukeblad 106 (39): 859–863.
Bolton, M. D., and C. K. Lau. 1993. “Vertical bearing capacity factors for circular footings on Mohr-Coulomb soil.” Can. Geotech. J. 30 (6): 1024–1033. https://doi.org/10.1139/t93-099.
Bowles, J. E. 1996. Foundation analysis and design. 5th ed. New York: McGraw-Hill Companies.
Broms, B. B. 1963. “The effect of degree of saturation on the bearing capacity of flexible pavements.” Highway Res. Rec. 71 (1): 1–14.
Conciani, W., M. M. Soares, J. M. Naime, and S. Crestana. 1998. “Plate load test with CT.” In Proc., 2nd Int. Conf. on Unsaturated Soils, 333–337. Beijing: International Academic Publishers.
Consoli, N. C., F. Schnaid, and J. Milititsky. 1998. “Interpretation of plate load tests on residual soil site.” J. Geotech. Geoenviron. Eng. 124 (9): 857–867. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:9(857).
Costa, Y. D., J. C. Cintra, and J. C. Zornberg. 2003. “Influence of matric suction on the results of plate load tests performed on a lateritic soil deposit.” Geotech. Test. J. 26 (2): 219–227.
Das, B. M. 2015. Principles of foundation engineering. 8th ed. Boston: CENGAGE Learning.
FLAC3D. 2012. User’s guide. Minneapolis, MN: Itasca Consulting Group.
Fredlund, D. G., and N. R. Morgenstern. 1977. “Stress state variables for unsaturated soils.” J. Geotech. Eng. Div. 103 (GT5): 447–466.
Fredlund, D. G., N. R. Morgenstern, and R. A. Widger. 1978. “Shear strength of unsaturated soils.” Can. Geotech. J. 15 (3): 313–321. https://doi.org/10.1139/t78-029.
Fredlund, D. G., and H. Rahardj. 1993. Soil mechanics for unsaturated soils. 1st ed. New York: Wiley.
Fredlund, D. G., A. Xing, M. D. Fredlund, and S. L. Barbour. 1996. “The relationship of the unsaturated soil shear to the soil-water characteristic curve.” Can. Geotech. J. 33 (3): 440–448. https://doi.org/10.1139/t96-065.
Garakani, A. A. 2013. Laboratory assessment of the hydro-mechanical behavior of unsaturated undisturbed collapsible soils—Case study: Gorgan loess. Tehran, Iran: Sharif Univ. of Technology.
Garakani, A. A., S. M. Haeri, D. Y. Cherati, F. A. Givi, M. K. Tadi, A. H. Hashemi, N. Chiti, and F. Qahremani. 2018. “Effect of road salts on the hydro-mechanical behavior of unsaturated collapsible soils.” Transp. Geotech. 17 (Dec): 77–90. https://doi.org/10.1016/j.trgeo.2018.09.005.
Garakani, A. A., S. M. Haeri, C. S. Desai, S. M. Hosein Seyed Ghafouri, B. Sadollahzadeh, and H. Hashemi Senejani. 2019. “Testing and constitutive modeling of lime-stabilized collapsible loess. II: Modeling and validations.” Int. J. Geomech. 19 (4): 04019007. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001386.
Garakani, A. A., S. M. Haeri, A. Khosravi, and G. Habibagahi. 2015. “Hydro-mechanical behavior of undisturbed collapsible loessial soils under different stress state conditions.” J. Eng. Geol. 195 (Sep): 28–41. https://doi.org/10.1016/j.enggeo.2015.05.026.
Haeri, S. M., A. A. Garakani, A. Khosravi, and C. L. Meehan. 2014. “Assessing the hydro-mechanical behavior of collapsible soils using a modified triaxial test device.” Geotech. Test. J. 37 (2): 20130034. https://doi.org/10.1520/GTJ20130034.
Haeri, S. M., A. A. Garakani, H. R. Roohparvar, C. S. Desai, S. M. H. Seyed Ghafouri, and K. Salemi Kouchesfahani. 2019. “Testing and constitutive modeling of lime-stabilized collapsible loess. I: Experimental investigations.” Int. J. Geomech. 19 (4): 04019006. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001364.
Haeri, S. M., A. Khosravi, A. A. Garakani, and S. Ghazizadeh. 2016. “Effect of soil structure and disturbance on hydromechanical behavior of collapsible loessial soils.” Int. J. Geomech. 17 (1): 04016021. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000656.
Hanna, A. M., and G. G. Meyerhof. 1981. “Experimental evaluation of bearing capacity of footings subjected to inclined loads.” Can. Geotech. J. 18 (4): 599–603. https://doi.org/10.1139/t81-072.
Hansen, B. J. A. 1970. Revised and extended formula for bearing capacity. Copenhagen, Denmark: Danish Geotechnical Institute.
Khalili, N., and M. H. Khabbaz. 1998. “A unique relationship for the determination of the shear strength of unsaturated soils.” Géotechnique 48 (5): 681–687. https://doi.org/10.1680/geot.1998.48.5.681.
Kumbhojkar, A. S. 1993. “Numerical evaluation of Terzaghi’s Nγ.” J. Geotech. Eng. 119 (3): 598. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:3(598).
Larkin, L. A. 1968. “Theoretical bearing capacity of very shallow footings.” J. Soil Mech. Found. Div. 94 (6): 1347–1360.
Larson, L. 1997. Investigations and load tests in silty soils. Linköping, Sweden: Swedish Geotechnical Institute.
Li, Y., J. Wu, and K. Li. 2012. “Saturated-unsaturated seepage analysis based on FLAC3D.” Rock. Soil. Mech. 33 (2): 617–622.
Lins, Y., T. Schanz, and S. K. Vanapalli. 2009. “Bearing capacity and settlement behavior of a strip footing on an unsaturated coarse-grained soil.” In Unsaturated soils, edited by O. Buzzi, S. Fityus, and D. Sheng. London: CRC Press.
Lu, N., and W. J. Likos. 2004. Unsaturated soil mechanics. New York: Wiley.
Meyerhof, G. G. 1951. “The ultimate bearing capacity of foundations.” Géotechnique 2 (4): 301–332. https://doi.org/10.1680/geot.1951.2.4.301.
Meyerhof, G. G. 1956. “Penetration tests and bearing capacity of cohesion-less soils.” J. Soil Mech. Found. Div. 82 (1): 1–19.
Miller, G. A., and K. K. Muraleetharan. 1998. “In situ testing in unsaturated soil.” In Vol. 1 of Proc., 2nd Int. Conf. on Unsaturated Soils, 416–421. Beijing: International Academic Publishers.
Mohamed, F. M. O., and S. K. Vanapalli. 2006. “Laboratory investigations for the measurement of the bearing capacity of an unsaturated coarse-grained soil.” In Proc., 59th Canadian Geotechnical Conf. Richmond, Canada: Canadian Geotechnical Society.
Mohamed, F. M. O., and S. K. Vanapalli. 2012. “Estimation of bearing capacity of saturated and unsaturated sands from the SPT and CPT correlations.” In Proc., 2012 World Congress on Advances in Civil, Environmental, and Materials Research (ACEM’ 12). Daejeon, Korea: Techno-Press.
Mohamed, F. M. O., and S. K. Vanapalli. 2015. “Bearing capacity of shallow foundations in saturated and unsaturated sands from SPT–CPT correlations.” Int. J. Geotech. Eng. 9 (1): 2–12. https://doi.org/10.1179/1939787914Y.0000000082.
Mohamed, F. M. O., S. K. Vanapalli, and M. Saatcioglu. 2011. “Bearing capacity and settlement behavior of footings in an unsaturated sand.” In Proc., 14th Pan American on Soil Mechanics and Geotechnical Engineering, and the 64th Canadian Geotechnical Conf. Richmond, Canada: Canadian Geotechnical Society.
Ng, C. W. W., H. Sadeghi, F. Jafarzadeh, M. Sadeghi, C. Zhou, and S. Baghbanrezvan. 2019. “Effect of microstructure on shear strength and dilatancy of unsaturated loess at high suctions.” Can. Geotech. J. https://doi.org/10.1139/cgj-2018-0592.
Ni, P., G. Mei, and Y. Zhao. 2018. “Influence of raised groundwater level on the stability of unsaturated soil slopes.” Int. J. Geomech. 18 (12): 04018168. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001316.
Oh, W. T., and S. K. Vanapalli. 2008. “Modeling the stress versus settlement behavior of model footings in saturated and unsaturated sandy soils.” In Proc., 12th Int. Conf. of Int. Association for Computer Methods and Advances in Geomechanics (IACMAG). Red Hook, NY: Curran Associates, Inc.
Oh, W. T., and S. K. Vanapalli. 2013. “Interpretation of the bearing capacity of unsaturated fine-grained soil using the modified effective and the modified total stress approaches.” Int. J. Geomech. 13 (6): 769–778. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000263.
Oloo, S. Y. 1994. “A bearing capacity approach to the design of low volume traffic roads.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Saskatchewan.
Oloo, S. Y., D. G. Fredlund, and J. K. M. Gan. 1997. “Bearing capacity of unpaved roads.” Can. Geotech. J. 34 (3): 398–407. https://doi.org/10.1139/t96-084.
Prandtl, L. 1921. “Über die eindringungsfestigkeit (härte) plastischer baustoffe und die festigkeit von schneiden.” [In German.] Z. Angew. Math. Mech. 1 (1): 15–20. https://doi.org/10.1002/zamm.19210010102.
Rajeev, P., and J. Kodikara. 2011. “Numerical analysis of an experimental pipe buried in swelling soil.” Comput. Geotech. 38 (7): 897–904. https://doi.org/10.1016/j.compgeo.2011.06.005.
Rojas, J. C., and L. M. Salinas. 2002. “Bearing pressure and settlement for a lean clay in saturated and unsaturated conditions.” In Vol. 2 of Proc., 3rd Unsaturated Soils Conf., 703–708. Rotterdam, Netherlands: A.A. Balkema.
Rojas, J. C., L. M. Salinas, and C. Sejas. 2007. “Plate-load tests on an unsaturated lean clay.” In Experimental unsaturated soil mechanics, edited by T. Schanz. Berlin: Springer.
Rutqvist, J., Y. Ijiri, and H. Yamamoto. 2011. “Implementation of the Barcelona basic model into TOUGH–FLAC for simulations of the geomechanical behavior of unsaturated soils.” Comput. Geosci. 37 (6): 751–762. https://doi.org/10.1016/j.cageo.2010.10.011.
Schnaid, F., N. C. Consoli, R. Cumdani, and J. Milititsky. 1995. “Load-settlement response of hallow foundations in structured unsaturated soils.” In Proc., 1st Int. Conf. on Unsaturated Soils, 999–1004. Rotterdam, Netherlands: A.A. Balkema.
Shahriar, M. A., N. Sivakugan, B. M. Das, A. Urquhart, and M. Tapiolas. 2015. “Water table correction factors for settlements of shallow foundations in granular soils.” Int. J. Geomech. 15 (1): 06014015. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000391.
Steensen-Bach, J. O., N. Foged, and J. S. Steenfelt. 1987. “Capillary induced stresses—Fact or fiction?” In Proc., 9th ECSMFE, Groundwater Effects in Geotechnical Engineering, 83–89. Rotterdam, Netherlands: A.A. Balkema.
Tang, Y., H. A. Taiebat, and A. R. Russell. 2017. “Bearing capacity of shallow foundations in unsaturated soil considering hydraulic hysteresis and three drainage conditions.” Int. J. Geomech. 17 (6): 04016142. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000845.
Terzaghi, K. 1943. Theoretical soil mechanics. New York: Wiley.
Terzaghi, K., and R. B. Peck. 1948. Soil mechanics in engineering practice. New York: Wiley.
Vahedifard, F., and J. D. Robinson. 2015. “Unified method for estimating the ultimate bearing capacity of shallow foundations in variably saturated soils under steady flow.” J. Geotech. Geoenviron. Eng. 142 (4): 04015095. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001445.
Vanapalli, S. K., K. D. Eigenbrod, Z. N. Taylan, C. Catana, W. T. Oh, and E. Garven. 2010. “A technique for estimating the shaft resistance of test piles in unsaturated soils.” In Vol. 2 of Proc., 5th Int. Conf. Unsaturated Soils, UNSAT 2010, 1209–1216. Boca Raton, FL: CRC Press.
Vanapalli, S. K., D. G. Fredlund, D. E. Pufahl, and A. W. Clifton. 1996. “Model for the prediction of shear strength with respect to soil suction.” Can. Geotech. J. 33 (3): 379–392. https://doi.org/10.1139/t96-060.
Vanapalli, S. K., and F. M. O. Mohamed. 2007. “Bearing capacity of model footings in unsaturated soils, experimental unsaturated soil mechanics.” In Proc., 2nd Int. Conf. on Unsaturated Soils, 483–493. Weimar, Germany: Springer.
Vanapalli, S. K., and F. M. O. Mohamed. 2013. “Bearing capacity and settlement of footings in an unsaturated sand.” Int. J. Geomate 5 (1): 595–604.
Vanapalli, S. K., and W. T. Oh. 2010. “Mechanics of unsaturated soils for the design of foundation structures.” In Proc., 3rd WSEAS Int. Conf. on Engineering Mechanics, Structures, Engineering Geology, 363–377. Stevens Point, WI: World Scientific and Engineering Academy and Society.
Vanapalli, S. K., W. T. Oh, and A. J. Puppala. 2007. “Determination of the bearing capacity of unsaturated soils under undrained loading conditions.” In Proc., 60th Canadian Geotechnical Conf. & 8th Joint CGS/IAH-CNC Groundwater Conf. Richmond, Canada: Canadian Geotechnical Society.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Vesic, A. S. 1973. “Analysis of ultimate loads of shallow foundations.” J. Soil Mech. Found. Div. 99 (SM1): 45–73.
Wu, L. Z., and R. Q. Huang. 2006. “Numerical simulation and optimum design of anchor frame beam strengthening expansive soil road cut slope.” Rock Soil Mech. Wuhan 27 (4): 605.
Xu, Y. 2004. “Bearing capacity of unsaturated expansive soils.” J. Geotech. Geol. Eng. 22 (4): 611–625. https://doi.org/10.1023/B:GEGE.0000047043.29898.17.
Zhang, C., X. Chen, and W. Fan. 2016. “Overturning stability of a rigid retaining wall for foundation.” Int. J. Geomech. 16 (4): 06015013. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000613.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 20Issue 3March 2020

History

Received: Dec 20, 2018
Accepted: Jul 25, 2019
Published online: Dec 17, 2019
Published in print: Mar 1, 2020
Discussion open until: May 17, 2020

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Assistant Professor, Structural Research Dept., Niroo Research Institute, Tehran 1468617151, Iran (corresponding author). ORCID: https://orcid.org/0000-0002-9696-3455. Email: [email protected]
Assistant Professor, Dept. of Civil Engineering, Sharif Univ. of Technology, Tehran 1458889694, Iran. ORCID: https://orcid.org/0000-0002-3453-9309. Email: [email protected]
Master of Geotechnical Engineering, Dept. of Civil Engineering, Sharif Univ. of Technology, Tehran 1458889694, Iran. ORCID: https://orcid.org/0000-0003-2574-2847. Email: [email protected]
Master of Geotechnical Engineering, Dept. of Civil Engineering, Sharif Univ. of Technology, Tehran 1458889694, Iran. Email: [email protected]

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