Effect of Embedment Depth on the Seismic Bearing Capacity of Strip Footing in Rock Mass
Publication: International Journal of Geomechanics
Volume 22, Issue 7
Abstract
This study presents the numerical solution for the seismic bearing capacity of embedded strip footing in Hoek–Brown rock mass. The upper-bound solutions are presented by employing the finite-element limit analysis. The influence of various parameters namely, geological strength index (GSI), yield parameter of the rock (mi), rock strength ratio (σci/γB), embedment depth ratio (d/B), and the horizontal seismic coefficient (kh) on the seismic bearing capacity factor (N) of strip footing is assessed. The results are presented as design tables and charts for a wide range of parameters. A parametric study is performed and a discussion on the influence of each parameter on the seismic bearing capacity factor is made. The influence of the considered parameters on the failure pattern is highlighted. It is noted that the lateral extent of the failure surface increases with an increase in the depth of embedment which has a positive influence on the seismic bearing capacity of strip footing.
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References
Alkhafaji, H., M. Imani, and A. Fahimifar. 2020. “Ultimate bearing capacity of rock mass foundations subjected to seepage forces using modified Hoek–Brown criterion.” Rock Mech. Rock Eng. 53: 251–268. https://doi.org/10.1007/s00603-019-01905-6.
Chakraborty, D., and J. Kumar. 2015. “Seismic bearing capacity of shallow embedded foundations on a sloping ground surface.” Int. J. Geomech. 15 (1): 04014035. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000403.
Chihi, O., and Z. Saada. 2022. “Bearing capacity of strip footing on rock under inclined and eccentric load using the generalized Hoek–Brown criterion.” Eur. J. Environ. Civ. Eng. 26: 2258–2272. https://doi.org/10.1080/19648189.2020.1757513.
Choudhury, D., and K. S. S. Rao. 2006. “Seismic bearing capacity of shallow strip footings embedded in slope.” Int. J. Geomech. 6 (3): 176–184. https://doi.org/10.1061/(ASCE)1532-3641(2006)6:3(176).
Clausen, J. 2013. “Bearing capacity of circular footings on a Hoek–Brown material.” Int. J. Rock Mech. Min. Sci. 57: 34–41. https://doi.org/10.1016/j.ijrmms.2012.08.004.
Hoek, E., and E. T. Brown. 1980. “Empirical strength criterion for rock masses.” J. Geotech. Eng. Div. 106 (9): 1013–1035. https://doi.org/10.1061/AJGEB6.0001029.
Hoek, E., C. Carranza-Torres, and B. Corkum. 2002. “Hoek-Brown failure criterion—2002 edition.” In Proc., of the North American Rock Mechanics Society Meeting in Toronto, Canada. Toronto: University of Toronto Press.
Imani, M., A. Fahimifar, and M. Sharifzadeh. 2012. “Upper bound solution for the bearing capacity of submerged jointed rock foundations.” Rock Mech. Rock Eng. 45 (4): 639–646. https://doi.org/10.1007/s00603-011-0215-9.
Javid, A. H., A. Fahimifar, and M. Imani. 2015. “Numerical investigation on the bearing capacity of two interfering strip footings resting on a rock mass.” Comput. Geotech. 69: 514–528. https://doi.org/10.1016/j.compgeo.2015.06.005.
Keawsawasvong, S., C. Thongchom, and S. Likitlersuang. 2020. “Bearing capacity of strip footing on Hoek–Brown rock mass subjected to eccentric and inclined loading.” Transp. Infrastruct. Geotechnol. 8: 189–202. https://doi.org/10.1007/s40515-020-00133-8.
Keshavarz, A., and J. Kumar. 2018. “Bearing capacity of foundations on rock mass using the method of characteristics.” Int. J. Numer. Anal. Methods Geomech. 42: 542–557. https://doi.org/10.1002/nag.2754.
Mansouri, M., M. Imani, and A. Fahimifar. 2019. “Ultimate bearing capacity of rock masses under square and rectangular footings.” Comput. Geotech. 111: 1–9. https://doi.org/10.1016/j.compgeo.2019.03.002.
Mao, N., T. Al-bitter, and A.-H. Soubra. 2012. “Probabilistic analysis and design of strip foundation resting on rocks obeying Hoek–Brown failure criterion.” Int. J. Rock Mech. Min. Sci. 49: 45–58. https://doi.org/10.1016/j.ijrmms.2011.11.005.
Merifield, R. S., A. V. Lyamin, and S. W. Sloan. 2006. “Limit analysis for the bearing capacity of rock masses using the generalized Hoek–Brown criterion.” Int. J. Rock Mech. Min. Sci. 43: 920–937. https://doi.org/10.1s016/j.ijrmms.2006.02.001.
Saada, Z., S. Maghous, and D. Garnier. 2008. “Bearing capacity of shallow foundations on rocks obeying a modified Hoek–Brown failure criterion.” Comput. Geotech. 35 (2): 144–154. https://doi.org/10.1016/j.compgeo.2007.06.003.
Saada, Z., S. Maghous, and D. Garnier. 2011. “Seismic bearing capacity of a shallow foundations near rock slopes using the generalized Hoek–Brown criterion.” Int. J. Numer. Anal. Methods Geomech. 35: 724–748. https://doi.org/10.1002/nag.929.
Serrano, A., and C. Olalla. 1994. “Ultimate bearing capacity of rock masses.” Int. J. Rock Mech. Min. Sci. 31 (2): 93–106. https://doi.org/10.1016/0148-9062(94)92799-5.
Serrano, A., C. Olalla, and J. González. 2000. “Ultimate bearing capacity of rock masses based on the modified Hoek–Brown criterion.” Int. J. Rock Mech. Min. Sci. 37 (6): 1013–1018. https://doi.org/10.1016/S1365-1609(00)00028-9.
Shamloo, S., and M. Imani. 2020. “Upper bound solution for the bearing capacity of rock mass considering the embedment depth.” Ocean Eng. 218: 108169. https://doi.org/10.1016/j.oceaneng.2020.108169.
Wu, G. Q., H. Zhao, M. H. Zhao, and Y. Xiao. 2020. “Undrained seismic bearing capacity of strip footings lying on two-layered slopes.” Comput. Geotech. 122: 103539. https://doi.org/10.1016/j.compgeo.2020.103539.
Yang, X.-L. 2009. “Seismic bearing capacity of a strip footing on rock slopes.” Can. Geotech. J. 46: 943–954. https://doi.org/10.1139/T09-038.
Yang, X.-L., and J.-H. Yin. 2005. “Upper bound solution for ultimate bearing capacity with a modified Hoek–Brown failure criterion.” Int. J. Rock Mech. Min. Sci. 42: 550–560. https://doi.org/10.1016/j.ijrmms.2005.03.002.
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Published In
International Journal of Geomechanics
Volume 22 • Issue 7 • July 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jun 29, 2021
Accepted: Mar 8, 2022
Published online: Apr 28, 2022
Published in print: Jul 1, 2022
Discussion open until: Sep 28, 2022
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- Van Qui Lai, Kongtawan Sangjinda, Suraparb Keawsawasvong, Alireza Eskandarinejad, Vinay Bhushan Chauhan, Worathep Sae-Long, Suchart Limkatanyu, A machine learning regression approach for predicting the bearing capacity of a strip footing on rock mass under inclined and eccentric load, Frontiers in Built Environment, 10.3389/fbuil.2022.962331, 8, (2022).
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