Technical Papers
Aug 26, 2022

Analytical Method for Determining Bearing Capacity of Shallow Foundations on Unsaturated Soils

Publication: International Journal of Geomechanics
Volume 22, Issue 11

Abstract

The bearing capacity of foundations constructed on unsaturated soils depends on the soil saturation degree and thus the soil suction. This paper presents a simple limit equilibrium approach to compute the foundation bearing capacity on unsaturated soil using lateral earth pressure theory. An imaginary retaining wall is assumed to pass the edge of the foundation and active and passive lateral pressures on both sides of the wall are computed using the distribution introduced in an earlier study. Equating total active and passive thrusts on two sides of the wall gives the footing bearing capacity. The soil–water characteristic curve is used to obtain soil suction corresponding to different moisture contents and drained shear–strength parameters are used to determine the foundation bearing capacity. The developed method is applicable to sands and c-φ unsaturated soils with varying saturation degrees. The predicted results have been compared with data from seven case studies reported in the literature and found a satisfactory agreement. Parametric studies have been conducted to investigate effects of foundation embedded depths, two-layer soils, various suction stresses, and ground slope changes on the footing ultimate bearing capacity. The results show that with increasing the soil suction, the footing bearing capacity increases significantly.

Get full access to this article

View all available purchase options and get full access to this article.

References

Civil Engineering Code of Practice. 1951. Earth retaining structures. London: Institution of Structural Engineers.
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. 2 (2): 219–226.
Deng, B., and M. Yang. 2019. “Analysis of passive earth pressure for unsaturated retaining structures.” Int. J. Geomech. 19 (12): 06019016. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001518.
Fredlund, D. G., and H. Rahardjo. 1993. Soil mechanics for unsaturated soils. New York: Wiley.
Garakani, A. A., H. Sadeghi, S. Saheb, and A. Lamei. 2020. “Bearing capacity of shallow foundations on unsaturated soils: Analytical approach with 3D numerical simulations and experimental validations.” Int. J. Geomech. 20 (3): 04019181. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001589.
Ghazavi, M., and A. H. Eghbali. 2008. “A simple limit equilibrium approach for calculation of ultimate bearing capacity of shallow foundations on two-layered granular soils.” Geotech. Geol. Eng. 26 (5): 535–542. https://doi.org/10.1007/s10706-008-9187-2.
Ghazavi, M., and A. H. Eghbali. 2013. “New geometric average method for calculation of ultimate bearing capacity of shallow foundations on stratified sands.” Int. J. Geomech. 13 (2): 101–108. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000187.
Ghazavi, M., and A. S. Mahali. 2014. “Determination of seismic bearing capacity of shallow strip footings on slopes.” In Vol. 1 of Proc., 8th Symp. on Advances in Science and Technology, 1–10. Mashhad, Iran: Ministry of Science, Research and Technology.
Haghbin, M., and M. Ghazavi. 2013. “Bearing capacity of footings on pile-stabilized slopes.” Iran. J. Sci. Technol. Trans. Civ. Eng. 37: 257–269.
Haghbin, M., and M. Ghazavi. 2016. “Seismic bearing capacity of strip footings on pile-stabilized slopes.” Civ. Eng. Infrastruct. J. 49 (1): 111–126.
Hansen, J. B. 1970. A revised and extended formula for bearing capacity. Copenhagen, Denmark: Danish Geotechnical Institute.
IEA (International Energy Agency). 2007. Tracking industrial energy efficiency and CO2 emissions. Paris: OECD/IEA.
Ingrao, C., A. L. Giudice, C. Tricase, C. Mbohwa, and R. Rana. 2014. “The use of basalt aggregates in the production of concrete for the prefabrication industry: Environmental impact assessment, interpretation and improvement.” J. Cleaner Prod. 75: 195–204. https://doi.org/10.1016/j.jclepro.2014.04.002.
Kumbhokjar, A. S. 1993. “Numerical evaluation of Terzaghi’s Nγ.” J. Geotech. Eng. 119 (3): 598–607. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:3(598).
Lu, N., and W. J. Likos. 2004. Unsaturated soil mechanics. New York: Wiley.
Martin, C. M. 2004. User guide for ABC-analysis of bearing capacity version 1.0. Oxford, UK: Dept. of Engineering Science, Univ. of Oxford.
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., 219–226. Vancouver, BC, Canada: Canadian Geotechnical Society.
Nazari Afshar, J., and M. Ghazavi. 2014. “A simple analytical method for calculation of bearing capacity of stone-column.” Int. J. Civ. Eng. 12 (1): 15–25.
Oh, W. T., and S. K. Vanapalli. 2011a. “Bearing capacity of low plastic unsaturated soils using effective and total stress approaches.” In Proc., 14th Pan-American Conf. on Soil Mechanics and Geotechnical Engineering, 1–8. London: ISSMGE.
Oh, W. T., and S. K. Vanapalli. 2011b. “Modelling the applied vertical stress and settlement relationship of shallow foundations in saturated and unsaturated sands.” Can. Geotech. J. 48 (3): 425–438. https://doi.org/10.1139/T10-079.
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.
Oh, W. T., and S. K. Vanapalli. 2018. “Modeling the stress versus settlement behavior of shallow foundations in unsaturated cohesive soils extending the modified total stress approach.” Soils Found. 58 (2): 382–397. https://doi.org/10.1016/j.sandf.2018.02.008.
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.
Richards Jr, R., D. G. Elms, and M. Budhu. 1993. “Seismic bearing capacity and settlements of foundations.” J. Geotech. Eng. 119 (4): 662–674. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:4(662).
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, 445–452. Berlin: Springer.
Rostami, V., and M. Ghazavi. 2015. “Analytical solution for calculation of bearing capacity of shallow foundations on geogrid-reinforced sand slope.” Iran. J. Sci. Technol. Trans. Civ. Eng. 39 (C1): 167–182.
Russell, A. R., and N. Khalili. 2006. “A unified bounding surface plasticity model for unsaturated soils.” Int. J. Numer. Anal. Methods Geomech. 30 (3): 181–212. https://doi.org/10.1002/nag.475.
Sahoo, J. P., and R. Ganesh. 2017. “Active earth pressure on retaining walls with unsaturated soil backfill.” In Int. Congress and Exhibition Sustainable Civil Infrastructures: Innovative Infrastructure Geotechnology, 1–19. Berlin, Germany: Springer.
Schnaid, F., N. C. Consoli, R. O. Cudmani, and J. Militistsky. 1995. “Load-settlement response of shallow foundations in structured unsaturated soils.” In Proc., 1st Int. Conf. of Unsaturated Soils, 999–1004. Rotterdam, Netherlands: AA Balkema.
Shahrokhabadi, S., F. Vahedifard, E. Ghazanfari, and M. Foroutan. 2019. “Earth pressure profiles in unsaturated soils under transient flow.” Eng. Geol. 260: 105218. https://doi.org/10.1016/j.enggeo.2019.105218.
Steensen-Bach, J. O., N. Foged, and J. S. Steenfelt. 1987. “Capillary induced stresses-fact or fiction?.” In Proc., 9th European Conf. on Soil Mechanics and Foundation Engineering, 83–89. Rotterdam, Netherlands: Balkema.
Tang, Y., T. Vo, H. A. Taiebat, and A. R. Russell. 2018. “Influences of suction on plate load tests on unsaturated silty sands.” J. Geotech. Geoenviron. Eng. 144 (8): 04018043. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001897.
Terzaghi, K. 1943. Theoretical soil mechanics. New York: Wiley.
Vahedifard, F., B. A. Leshchinsky, K. Mortezaei, and N. Lu. 2015. “Active earth pressures for unsaturated retaining structures.” J. Geotech. Geoenviron. Eng. 141 (11): 04015048. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001356.
Vahedifard, F., and J. D. Robinson. 2016. “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., D. G. Fredlund, D. E. Pufahl, and A. W. Clifton. 1996. “Model for the prediction of shear strength with respect to soil suction.” Canadian Geotech. J. 33 (3): 379–392. https://doi.org/10.1139/t96-060.
Vanapalli, S. K., and F. M. Mohamed. 2007. “Bearing capacity of model footings in unsaturated soils.” In Experimental unsaturated soil mechanic, edited by T. Schanz, 483–493. Berlin: Springer.
Vanapalli, S. K., and F. M. Mohamed. 2013. “Bearing capacity and settlement of footings in unsaturated sands.” Int. J. Gomate 5 (1): 595–604.
Vesić, A. B. 1973. “Analysis of ultimate loads of shallow foundations.” J. Soil Mech. Found. Div. 99 (1): 45–73. https://doi.org/10.1061/JSFEAQ.0001846.
Vo, T., and A. R. Russell. 2016. “Bearing capacity of strip footings on unsaturated soils by the slip line theory.” Comput. Geotech. 74: 122–131. https://doi.org/10.1016/j.compgeo.2015.12.016.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 22Issue 11November 2022

History

Received: Sep 16, 2021
Accepted: Apr 28, 2022
Published online: Aug 26, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 26, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Professor, Faculty of Civil Engineering, K. N. Toosi Univ. of Technology, Tehran, Iran (corresponding author). ORCID: https://orcid.org/0000-0002-7935-1334. Email: [email protected]
Graduate Student, Faculty of Civil Engineering, K. N. Toosi Univ. of Technology, Tehran, Iran. ORCID: https://orcid.org/0000-0002-1816-0227. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share