Effect of Eccentric Load on the Undrained Bearing Capacity of Strip Footings above Voids
Publication: International Journal of Geomechanics
Volume 20, Issue 7
Abstract
This study employed finite element limit analysis (FELA) to investigate the influence of eccentric loads on the bearing capacity of footings above single and double continuous voids. Upper bound theorem (UB), lower bound theorem (LB), and adaptive meshing techniques were used in a parametric study to investigate the influence of some factors, including the relative distance between double voids, the depth of voids, the geometry of voids, the variation of soil shear strength, and the eccentricity of loadings on the bearing capacity of footings. The results indicated that, for the footings inclined above a single void, the bearing capacity with a void located on the same side of the eccentric load was less than that in an opposite position. In addition, the failure mechanisms were summarized and analyzed in this study.
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Acknowledgments
This research is a part of the work carried out by grants from the National Natural Science Foundation of China (No. 51978255).
Notation
The following symbols are used in this paper:
- B
- width of the strip footing;
- cu
- undrained shear strength of soil;
- cu0
- undrained shear strength at the ground surface;
- Eu
- undrained Young's modulus of soil;
- e
- eccentric distance of vertical load;
- H
- height of the void;
- k
- variation rate of soil shear strength with depth;
- Nc
- bearing capacity of footing;
- qu
- ultimate bearing capacity of footing;
- s
- spacing between double voids;
- W
- width of the void;
- z
- depth of soil;
- α
- horizontal distance of void;
- β
- vertical distance of void;
- γ
- unit weight of soil;
- μ
- Poisson's ratio of soil;
- ρ
- the effect degree of e; and
- φ
- internal friction angle of soil.
References
Al-Tabbaa, A., L. Russell, and M. O. Reilly. 1989. “Model tests of footings above shallow cavities.” Ground Eng. 22 (7): 39–42.
Badie, A., and M. C. Wang. 1984. “Stability of spread footing above void in clay.” J. Geotech. Eng. 110 (11): 1591–1605. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:11(1591).
Baus, R. L., and M. C. Wang. 1983. “Bearing capacity of strip footing above void.” J. Geotech. Eng. 109 (1): 1–4. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:1(1).
Bransby, M. F. 2001. “Failure envelopes and plastic potentials for eccentrically loaded surface footings on undrained soi.” Int. J. Numer. Anal. Methods Geomech. 25 (4): 329–346. https://doi.org/10.1002/nag.132.
Fam, M. A., G. Cascante, and M. B. Dusseault. 2002. “Large and small strain properties of sands subjected to local void increase.” J. Geotech. Geoenviron. Eng. 128 (12): 1018–1025. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:12(1018).
Jao, M., and M. C. Wang. 1998. “Stability of strip footing above concrete-lined soft ground tunnels.” Tunnelling Underground Space Technol. 13 (4), 427–434. https://doi.org/10.1016/S0886-7798(98)00085-6.
Kiyosumi, M., O. Kusakebe, and M. Ohuchi. 2011. “Model tests and analyses of bearing capacity of strip footing on stiff ground with voids.” J. Geotech. Geoenviron. Eng. 137 (4): 363–375. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000440.
Kiyosumi, M., O. Kusakabe, M. Ohuchi, and F. Peng. 2007. “Yielding pressure of spread footing above multiple voids.” J. Geotech. Geoenviron. Eng. 133 (12): 1522–1531. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:12(1522).
Krabbenhoft, K., A. V. Lyamin, M. Hjiaj, and S. W. Sloan. 2005. “A new discontinuous upper bound limit analysis formulation.” Int. J. Numer. Methods Eng. 63 (7): 1069–1088. https://doi.org/10.1002/nme.1314.
Lavasan, A. A., A. Talsaz, M. Ghazavi, and T. Schanz. 2016. “Behavior of shallow strip footing on twin voids.” Geotech. Geol. Eng. 34 (6): 1791–1805. https://doi.org/10.1007/s10706-016-9989-6.
Lee, J. K., S. Jeong, and J. Ko. 2014. “Undrained stability of surface strip footings above voids.” Comput. Geotech. 62: 128–135. https://doi.org/10.1016/j.compgeo.2014.07.009.
Lee, J. K., S. Jeong, and J. Ko. 2015. “Effect of load inclination on the undrained bearing capacity of surface spread footings above voids.” Comput. Geotech. 66: 245–252. https://doi.org/10.1016/j.compgeo.2015.02.003.
Lyamin, A. V., and S. W. Sloan. 2002a. “Lower bound limit analysis using non-linear programming.” Int. J. Numer. Methods Eng. 55 (5): 573–611. https://doi.org/10.1002/nme.511.
Lyamin, A. V., and S. W. Sloan. 2002b. “Upper bound limit analysis using linear finite elements and non-linear programming.” Int. J. Numer. Anal. Methods Geomech. 26 (2): 181–216. https://doi.org/10.1002/nag.198.
Merifield, R. S., and S. W. Sloan. 2006. “The ultimate pullout capacity of anchors in frictional soils.” Can. Geotech. J. 43 (8): 852–868. https://doi.org/10.1139/t06-052.
Merifield, R. S., S. W. Sloan, and H. S. Yu. 1999. “Rigorous plasticity solutions for the bearing capacity of two-layered clays.” Géotechnique 49 (4): 471–490. https://doi.org/10.1680/geot.1999.49.4.471.
Merifield, R. S., S. W. Sloan, and H. S. Yu. 2001. “Stability of plate anchors in undrained clay.” Géotechnique 51 (2): 141–153. https://doi.org/10.1680/geot.2001.51.2.141.
Meyerhof, G. G. 1953. “The bearing capacity of foundations under eccentric and inclined loads.” In Vol. 1 of Proc., 3rd Int. Conf. on SMFE, 440–445. London, UK: International Society for Soil Mechanics and Geotechnical Engineering (ISSMGE).
Osman, A. S., R. J. Mair, and M. D. Bolton. 2006. “On the kinematics of 2D tunnel collapse in undrained clay.” Géotechnique 56 (9): 585–595. https://doi.org/10.1680/geot.2006.56.9.585.
Saleh, N. M., and A. E. Elsaied. 2008. “Performance of skirted strip footing subjected to eccentric inclined load.” Electron. J. Geotech. Eng. 13: 1–33.
Shen, Z., X. Feng, and S. Gourvenc. 2016. “Undrained capacity of surface foundations with zero-tension interface under planar V-H-M loading.” Comput. Geotech. 73: 47–57. https://doi.org/10.1016/j.compgeo.2015.11.024.
Shiau, J. S., A. V. Lyamin, and S. W. Sloan. 2003. “Bearing capacity of a sand layer on clay by finite element limit analysis.” Can. Geotech. J. 40 (5): 900–915. https://doi.org/10.1139/t03-042.
Shiau, J. S., R. S. Merifield, A. V. Lyamin, and S. W. Sloan. 2011. “Undrained stability of footings on slopes.” Int. J. Geomech. 11 (5): 381–390. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000092.
Sloan, S. W. 2013. “Geotechnical stability analysis.” Géotechnique 63 (7): 531–571. https://doi.org/10.1680/geot.12.RL.001.
Sloan, S. W., and A. Assadi. 1991. “Undrained stability of square tunnel in a soil whose strength increases linealy with depth.” Comput. Geotech. 12 (4): 321–346. https://doi.org/10.1016/0266-352X(91)90028-E.
Tharp, T. M. 1999. “Mechanics of upward propagation of cover-collapse sinkholes.” Eng. Geol. 52 (1–2): 23–33. https://doi.org/10.1016/S0013-7952(98)00051-9.
Wang, M. C., and A. Badie. 1985. “Effect of underground void on foundation stability.” J. Geotech. Eng. 111 (8): 1008–1019. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:8(1008).
Wang, M. C., and C. W. Hsieh. 1987. “Collapse load of strip footing above circular void.” J. Geotech. Geoenviron. Eng. 113 (5): 511–515. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:5(511).
Wilson, D. W., J. Abbo, S. W. Sloan, and A. V. Lyamin. 2015. “Undrained stability of dual square tunnels.” Acta Geotech. 10 (5): 665–682. https://doi.org/10.1007/s11440-014-0340-1.
Xiao, Y., M. Zhao, and H. Zhao. 2018a. “Undrained stability of strip footing above voids in two-layered clays by finite element limit analysis.” Comput. Geotech. 97: 124–133. https://doi.org/10.1016/j.compgeo.2018.01.005.
Xiao, Y., M. Zhao, H. Zhao, and R. Zhang. 2018b. “Finite element limit analysis of the bearing capacity of strip footing on a rock mass with voids.” Int. J. Geomech. 18 (9): 04018108. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001262.
Yamamoto, K., A. V. Lyamin, D. W. Wilson, S. W. Sloan, and A. J. Abbo. 2013. “Stability of dual circular tunnels in cohesive-frictional soil subjected to surcharge loading.” Comput. Geotech. 50: 41–54. https://doi.org/10.1016/j.compgeo.2012.12.008.
Zhang, R., G. Chen, J. Zou, L. Zhao, and C. Jiang. 2019. “Stability of dual circular tunnels in a rock mass subjected to surcharge loading.” Comput. Geotech. 108: 257–268. https://doi.org/10.1016/j.compgeo.2019.01.004.
Zhou, H., G. Zheng, X. He, X. Xu, T. Zhang, and X. Yang. 2018. “Bearing capacity of strip footings on c–φ soils with square voids.” Acta Geotech. 13 (3): 747–755. https://doi.org/10.1007/s11440-018-0630-0.
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© 2020 American Society of Civil Engineers.
History
Received: Aug 5, 2019
Accepted: Dec 17, 2019
Published online: Apr 17, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 17, 2020
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