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Bearing Capacity of Strip Footing on Hoek-Brown Rock Mass Subjected to Eccentric and Inclined Loading

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Abstract

This paper presents the numerical solutions for the bearing capacity of strip footing under inclined and eccentric loads on rock mass obeying the Hoek-Brown yield criterion. This study applies the lower and upper bound finite element limit analysis to evaluate the numerical solutions. The dimensionless parameters including the geological strength index and the yield parameter of rock as well as the inclined angle and eccentricity of load are considered. The influences of all considered dimensionless parameters on the bearing capacity factors are demonstrated and discussed. Finally, the failure mechanisms of strip footing subjected to inclined and eccentric load on Hoek-Brown rock mass are illustrated to portray the effects of all considered dimensionless parameters.

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References

  • Chihi, O., Saada, Z.: Bearing capacity of strip footing on rock under inclined and eccentric load using the generalized Hoek-Brown criterion. Eur. J. Environ. Civ. Eng. (2020). https://doi.org/10.1080/19648189.2020.1757513

  • Hansen, J.B.: A revised and extended formula for bearing capacity. Bulletin No. 28. Danish Geotechnical Institute. 28, 5–11 (1970)

    Google Scholar 

  • Hjiaj, M., Lyamin, A.V., Sloan, S.W.: Bearing capacity of a cohesive-frictional soil under non-eccentric inclined loading. Comput. Geotech. 31(6), 491–516 (2004)

    Article  Google Scholar 

  • Hoek, E., Brown, E.T.: Empirical strength criterion for rock masses. J. Geotech. Eng. Div. 106(9), 1013–1035 (1980)

    Article  Google Scholar 

  • Hoek, E., Carranza-Torres, C., Corkum, B.: Hoek–Brown failure criterion—2002 edition. In: Proceedings of the North American rock mechanics society meeting in Toronto, Canada (2002)

  • Krabbenhoft, S., Damkilde, L., Krabbenhoft, K.: Lower bound calculations of the bearing capacity of eccentrically loaded footings in cohesionless soil. Can. Geotech. J. 49(3), 298–310 (2012)

    Article  Google Scholar 

  • Krabbenhoft, S., Damkilde, L., Krabbenhoft, K.: Bearing capacity of strip footings in cohesionless soil subject to eccentric and inclined loads. Int J Geomech. 14(3), 04014003 (2014)

    Article  Google Scholar 

  • Krabbenhoft, K., Lyamin, A., Krabbenhoft, J.: Optum computational engineering (OptumG2). (2015). Available on: <www.optumce.com>

  • Kumar, J., Mohapatra, D.: Lower-bound finite elements limit analysis for Hoek-Brown materials using semidefinite programming. J. Eng. Mech. 143(9), 04017077 (2017)

    Article  Google Scholar 

  • Loukidis, D., Chakraborty, T., Salgado, R.: Bearing capacity of strip footings on purely frictional soil under eccentric and inclined loads. Can. Geotech. J. 45(6), 768–787 (2008)

    Article  Google Scholar 

  • Merifield, R.S., Lyamin, A.V., Sloan, S.W.: Limit analysis solutions for the bearing capacity of rock masses using the generalized Hoek-Brown criterion. Int. J. Rock Mech. Min. Sci. 43(6), 920–937 (2006)

    Article  Google Scholar 

  • Meyerhof, G.G.: The bearing capacity of foundations under eccentric and inclined loads. In: Proceedings of the third conference of soil mechanics, pp. 440–445 (1953)

  • Meyerhof, G.G.: Some recent research on the bearing capacity of foundations. Can. Geotech. J. 1(1), 16–26 (1963)

    Article  Google Scholar 

  • Saada, Z., Maghous, S., Garnier, D.: Bearing capacity of shallow foundations on rocks obeying a modified Hoek-Brown failure criterion. Comput. Geotech. 35, 144–154 (2008)

    Article  Google Scholar 

  • Serrano, A., Olalla, C.: Ultimate bearing capacity of rock masses. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 31(2), 93–106 (1994)

    Article  Google Scholar 

  • Serrano, A., Olalla, C.: Ultimate bearing capacity of an anisotropic discontinuous rock mass, part I: basic modes of failure. Int. J. Rock Mech. Min. Sci. 35(3), 301–324 (1998a)

    Article  Google Scholar 

  • Serrano, A., Olalla, C.: Ultimate bearing capacity of an anisotropic discontinuous rock mass, part II: determination procedure. Int. J. Rock Mech. Min. Sci. 35(3), 325–348 (1998b)

    Article  Google Scholar 

  • Sloan, S.W.: Geotechnical stability analysis. Géotechnique. 63(7), 531–572 (2013)

    Article  Google Scholar 

  • Taiebat, H.A., Carter, J.P.: Bearing capacity of strip and circular foundations on undrained clay subjected to eccentric loads. Géotechnique. 52(1), 61–64 (2002)

    Article  Google Scholar 

  • Terzaghi, K.: Theoretical soil mechanics. Wiley, New York (1943)

    Book  Google Scholar 

  • Ukritchon, B., Keawsawasvong, S.: Three-dimensional lower bound finite element limit analysis of Hoek-Brown material using semidefinite programming. Comput. Geotech. 104, 248–270 (2018)

    Article  Google Scholar 

  • Vesic, A.: Bearing capacity of shallow foundations. In: Winterkorn, H.F., Fang, H.Y. (eds.) Foundation engineering handbook, pp. 121–147. Van Nostrand Reinhold, New York (1975)

    Google Scholar 

  • Yang, X.L., Yin, J.H.: Upper bound solution for ultimate bearing capacity with modified Hoek-Brown failure criterion. Int. J. Rock Mech. Min. Sci. 42, 550–560 (2005)

    Article  Google Scholar 

  • Zheng, G., Zhao, J., Zhou, H., Zhang, T.: Ultimate bearing capacity of strip footings on sand overlying clay under inclined loading. Comput. Geotech. 106, 266–273 (2019)

    Article  Google Scholar 

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Acknowledgments

This research was supported by the Faculty of Engineering Research Fund, Thammasat University, and the Ratchadapisek Sompoch Endowment Fund (2020), Chulalongkorn University (763014 Climate Change and Disaster Management Cluster). The authors would like to thank Mr. Kittipoom Sinkanarak, Mr. Thiti Vimonanupong, and Ms. Natcha Seekhum for assisting with the software and data curation.

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Authors and Affiliations

  1. Department of Civil Engineering, Thammasat School of Engineering, Thammasat University, Khlong Luang, Pathumthani, 12120, Thailand

    Suraparb Keawsawasvong & Chanachai Thongchom

  2. Centre of Excellence in Geotechnical and Geoenvironmental Engineering, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok, 10330, Thailand

    Suched Likitlersuang

Authors
  1. Suraparb Keawsawasvong
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  2. Chanachai Thongchom
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  3. Suched Likitlersuang
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Contributions

Suraparb Keawsawasvong acquired methodology and contributed to conceptualization and writing—original draft.

Chanachai Thongchom acquired methodology and software and contributed to investigation.

Suched Likitlersuang provided resources and contributed to writing—review and editing, supervision, and data curation.

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Correspondence to Suraparb Keawsawasvong.

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Keawsawasvong, S., Thongchom, C. & Likitlersuang, S. Bearing Capacity of Strip Footing on Hoek-Brown Rock Mass Subjected to Eccentric and Inclined Loading. Transp. Infrastruct. Geotech. 8, 189–202 (2021). https://doi.org/10.1007/s40515-020-00133-8

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