Development of Bearing Capacity Equation for Rectangular Footing under Inclined Loading on Layered Sand

Document Type : Research Papers

Authors

1 Ph.D. Candidate, Department of Civil Engineering, National Institute of Technology Hamirpur, Hamirpur, Himachal Pradesh, India.

2 Professor, Department of Civil Engineering, National Institute of Technology Hamirpur, Hamirpur, Himachal Pradesh, India.

Abstract

This study provides an equation of bearing capacity for a rectangular footing placed on dense sand overlying loose sand and subjected to inclined concentric loading using the limit equilibrium followed by projected area method. The parameters varied were thickness ratio (0.00 to 2.00) of the upper dense sand layer, embedment ratio (0 to 2), friction angle of upper dense (41° to 46°) sand and lower loose (31° to 36°) sand layer, and applied load inclination (0° to 30°) for the parametric study. The highest and lowest increase in the bearing capacity were observed for a friction angle combination of 46°-36° and 41°-31°, respectively, at different thickness ratios. The bearing capacity obtained from the proposed equation was approximately 4.97 and 10.5 times its initial value at embedment ratios of 1 and 2, respectively. Bearing capacity was reduced by 20.55%, 54.58% and 87.90% for load inclinations of 5°, 15°, and 30° for friction angles of upper dense and lower loose sand layer combinations of 46° and 36° and at a thickness ratio of 2. The bearing capacity obtained from the proposed equation decreased by 99.89%, 66.04%, and 61.5% as the load inclination increased from 0° to 30° for embedment ratios of 0, 1, and 2. With respect to finite element results, the average deviation of the bearing capacity obtained from the proposed equation at embedment ratios 0, 1, and 2 was 14.56%, 18.71% and 23.56%, respectively. The proposed bearing capacity equation produced results that were consistent with those reported in the literature, with an average deviation of 10.71%.

Keywords

References

Al-Ameri, A.F.I., Hussein, S.A. and Mekkiyah, H. (2020). “Estimate the bearing capacity of full-scale model shallow foundations on layered-soil using PLAXIS”, Solid State Technology, 63(1), 1775-1787, http://solidstatetechnology.us/index.php/JSST/article/view/568.
Benmoussa, S., Benmebarek, S. and Benmebarek, N. (2021). “Bearing capacity factor of circular footings on two-layered clay soils”, Civil Engineering Journal, 7(5), 775-785, https://doi.org/10.28991/cej-2021-03091689.
Biswas, A. and Krishna, A.M. (2019). “Behaviour of circular footing resting on layered foundation: sand overlying clay of varying strengths”, International Journal of Geotechnical Engineering, 13(1), 9-24, https://doi.org/10.1080/19386362.2017.131424.
Bowles, J.E. (1977). Foundation analysis and design, McGraw-Hill, NewYork.
Caquot, A., and Kerisel, L. (1949). T~aite de mecanique des sols, Gauthier-Villars, Paris, France.
Chwała M. and Puła W. (2020). “Evaluation of shallow foundation bearing capacity in the case of a two-layered soil and spatial variability in soil strength parameters”, Plos One, 15(4), e0231992, https://doi.org/10.1371/journal.pone.0231992.
Das, P. and Khatri V. (2021). “Bearing capacity estimation of shallow foundations on layered sand strata using finite elements analysis”, Lecture Notes in Civil Engineering book series, 137, 401-412, https://doi.org/10.1007/978-981-33-6466-0_37.
Das, P.P., Khatri, V.N. and Dutta, R.K. (2021). “Bearing capacity of ring footing on a weak sand layer overlying a dense sand deposit”, Geomechanics and Geoengineering, 16(4), 249-262, https://doi.org/10.1080/17486025.2019.1664775.
Das, P.P., Khatri, V.N. and Kumar, J. (2022). “Bearing capacity of strip and circular footing on layered sand with geogrid at the interface”, Arabian Journal of Geosciences, 15(1), 361, https://doi.org/10.1007/s12517-022-09614-1.
Dawarci, B., Ornek, M. and Turedi, Y. (2014). “Analysis of multi-edge footings rested on loose and dense sand”, Periodica Politechnica Civil Engineering, 58(4), 355-370, https://doi.org/10.3311/PPci.2101.
El-Kasabi, E.A.A. (1991). “Estimation of guide values for the modulus of elasticity of soil”, Bulletin of Faculty of Engineering HRBC Journal, 19(1), 1-7.
Eshkevari, S.S., Abbo, A.J. and Kouretzis, G.P. (2018). “Bearing capacity of strip footings on sand over clay”, Canadian Geotechnical Journal, 56(5), 1-33, https://doi.org/10.1139/cgj-2017-0489.
Eshkevari, S.S., Abbo, A.J. and Kouretzis, G. (2019). “Bearing capacity of strip footings on layered sands”, Computers and Geotechnics, 114(1 October), 103101, https://doi.org/10.1016/j.compgeo.2019.103101.
Farah, C.A. (2004). “Ultimate bearing capacity of shallow foundations on layered soils”, MSc Thesis, Civil and Environmental Engineering, Concordia University, Quebec.
Gupta, S. and Mital, A. (2021). “A comparative study of bearing capacity of shallow footing under different loading conditions”, Geomechanics and Geoengineering, 17(4), 1338-1349, https://dot.org/10.1080/17486025.2021.1940310.
Hajitaheriha, M.M., Jafari, F., Hassanlourad, M. and Motlagh, A.H. (2021). “Investigating the reliability of negative skin friction on composite piles”, Civil Engineering Infrastructures Journal, 54(1), 23-42, https://dot.org/10.22059/CEIJ.2020.287489.1607.
Hanna, A.M. (1981). “Foundations on strong sand overlying weak sand”, Journal of the Geotechnical Engineering, 107(7), 915-927.
Hanna, A.M. (1982). “Bearing capacity of foundations on a weak sand layer overlying a strong deposit”, Canadian Geotechnical Journal, 19(3), 392-396, https://ascelibrary.org/doi/10.1061/AJGEB6.0001169.
Hanna, A.M. (1987). “Finite element analysis of footings on layered soils”, Mathematical Modelling, 9(11),813-819, https://doi.org/10.1139/t82-043.
Ibrahim, K.M.H.I. (2016). “Bearing capacity of circular footing resting on granular soil overlying soft clay”, Housing and Building National Research Center Journal, 1(1), 71-77, https://doi.org/10.1016/j.hbrcj.2014.07.004.
Ibrahim, M.M., and Al-Obaydi, M.A. (2021). “Numerical analysis of a rectangular footing resting on two inclined layers of soil”, IOP Conference Series: Earth and Environmental Science, (Vol. 856, No. 1, p. 012039), IOP Publishing, https://doi.org/10.1088/1755-1315/856/1/012039.
IS 6403 (1981). Code of practice for determination of breaking capacity of shallow foundations, Bureau of Indian Standard, New Delhi, India.
Johnson, K., Christensen, M., Sivakugan, N. and Karunasena, W. (2015). “Simulating the response of shallow foundations using finite element modelling”, Proceedings of the MODSIM 2003 International Congress on Modelling and Simulation, Townsville, QLD, Australia (pp. 14-17), https://www.mssanz.org.au/MODSIM03/Volume_04/C15/03_Johnson_Simulating.pdf.
Kenny, M.J. and Andrawes, K.Z. (1997). “The bearing capacity of footings on a sand layer overlying soft clay”, Geotechnique, 47(2), 339-345, https://doi.org/10.1680/geot.1997.47.2.339.
Khatri, V.N., Debbarma, S.P., Dutta, R.K. and Mohanty, B. (2017b). “Pressure-settlement behaviour of square and rectangular skirted footings resting on sand”, Geomechanics and Engineering, 12(4),689-705, https://doi.org/10.12989/gae.2017.12.4.689.
Khatri, V.N., Kumar, J. and Akhtar, S. (2017a). “Bearing capacity of foundations with inclusion of dense sand layer over loose sand strata”, International Journal of Geomechanics, 17(10), 06017018, https://doi.org/10.1061/(ASCE)GM.1943-5622.0000980.
Kumar, A., Ohri, M.L. and Bansal R.K. (2007). “Bearing capacity tests of strip footings on reinforced layered soil”, Geotechnical and Geological Engineering, 25(2), 139-150, https://doi.org/10.1007/s10706-006-0011-6.
Mandeel, S.A.H., Mekkiyahb H.M. and Al-Americ, A.F.I. (2021). “Bearing Capacity of square footing resting on layered soil”, Al-Qadisiyah Journal for Engineering Sciences, 13, 306-313, https://doi.org/10.30772/qjes.v13i.700.
Massihv, D.Y.A., Hachem, E.E. and Soubra, A.H. (2005). “Bearing capacity of eccentrically and/or obliquely loaded strip footing over two-layer foundation soil by a kinematical approach”, VIII International Conference on Computational Plasticity (COMPLAS VIII), Barcelona. 
Merifield, R.S., Sloan, S.W. and Yu, H.S. (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.
Meyerhof, G.G. (1974). “Ultimate bearing capacity of footings on sand layer overlying clay”, Canadian Geotechnical Journal, 11(2), 223-229, https://doi.org/10.1139/t74-018.
Meyerhof, G.G. and Hanna, A.M. (1978). “Ultimate bearing capacity of foundations on layered soils under inclined load”, Canadian Geotechnical Journal, 15(4), 565-572, https://doi.org/10.1139/t78-060.
Michalowski, R.L. and Shi, L. (1995). “Bearing capacity of footings over two-layer foundation soil”, Journal of the Geotechnical Engineering, 121(5), 421-428, https://ascelibrary.org/doi/10.1061/%28ASCE%290733-9410%281995%29121%3A5%28421%29.
Misir, G. and Laman, M. (2017). “A modern approach to rstimate the bearing capacity of layered soil”, Periodica Polytechnica Civil Engineering, 61(3), 434-446, https://doi.org/10.3311/PPci.9578.
Mosadegh, A. and Nikraz, H. (2015). “Bearing capacity evaluation of footing on a layered‐soil using ABAQUS”, Journal of Earth Science and Climatic Change, 6(3), 264, http://dx.doi.org/10.4172/2157-7617.1000264.
Nujid, M.M., Idrus, J., Bawadi, N.F. and Firoozi, A. A. (2021). “Evaluating the effect of embedment depth on collapse failure analysis of strip foundation”, Civil Engineering and Architecture, 9(5A), 1-9, https://doi.org/10.13189/cea.2021.091301.
Oda, M. and Win, M. (1990). “Ultimate bearing-capacity tests on sand with clay layer”, Journal of the Geotechnical Engineering, 116(12), 1902-1906, https://doi.org/10.1061/(asce)0733-9410(1990)116:12(1902).
Okamura, M., Takemura, J. and Kimura, T. (1998). “Bearing capacity predictions of sand overlying clay based on limit equilibrium methods”, Soils and Foundations, 38(1), 181-194, https://doi.org/10.3208/sandf.38.181.
Panwar, V. and Dutta, R.K. (2021). “Bearing capacity of rectangular footing on layered sand under inclined loading”, Journal of Achievements in Materials and Manufacturing Engineering, 108(2), 49-62, https://doi.org/10.5604/01.3001.0015.5064.
Rao, P., Liu, Y. and Cuia, J. (2015). “Bearing capacity of strip footings on two-layered clay under combined loading”, Computers and Geotechnics, 69, 210-218, https://doi.org/10.1016/j.compgeo.2015.05.018. 
Reddy, V.S.K. and Kumar D.T.K. (2018),” Behaviour of foundation in layered soils”, International Journal of Science and Research, 7(1), 1075-1078, https://doi.otg/10.21275/ART20179556.
Saha, A., Patra, S., Das, A. and Bera, A.K. (2018). “Bearing capacity of footing on sand overlay by soft soil using Abaqus: A numerical based study”, Geotechnics for Infrastructure Development, Indian Geotechnical Society, Kolkata Chapter.
Shiau, J.S., Lyamin, A.V. and Sloan, S.W. (2003). “Bearing capacity of a sand layer on clay by finite element limit analysis”, Canadian Geotechnical Journal, 40(5), 900-915, https://doi.org/10.1139/t03-042.
Shoaei, M.D., Alkarni, A., Noorzaei, J., Jaafar, M.S. and Huat, B.B.K. (2012). “Review of available approaches for ultimate bearing capacity of two-layered soils”, Journal of Civil Engineering and Management, 18(4), 469-482, https://doi.org/10.3846/13923730.2012.699930.
Singh, S.P. and Roy, A.K. (2021). “Numerical study of the behaviour of a circular footing on a layered granular soil under vertical and inclined loading”, Civil and Environmental Engineering Reports, 1(31), 29-43, https://doi.org/10.2478/ceer-2021-0002.
Szypcio, Z. and Dołżyk, K. (2006). “The bearing capacity of layered subsoil”, Studia Geotechnica et Mechanica, XXVIII(1), 45-60.
Ullah, S.N., Hossain, M.S., Hu, Y. and Fourie, A. (2020). “Numerical modelling of rectangular footing on a sand embankment over mine tailings”, In: Wang, C., Ho, J., Kitipornchai, S. (eds.), ACMSM25, Lecture Notes in Civil Engineering, Springer, Singapore; 37, 1027-1036, https://doi.org/10.1007/978-981-13-7603-0_97.
Zheng, G., Zhao, J., Zhou, H. and Zhang, T. (2019). “Ultimate bearing capacity of strip footings on sand overlying clay under inclined loading”, Computers and Geotechnics, 106(1 February), 266-273, https://doi.org/10.1016/j.compgeo.2018.11.003.
Civil Engineering Infrastructures Journal
Volume 56, Issue 1
June 2023
Pages 173-192

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History

  • Receive Date: 21 February 2022
  • Revise Date: 15 May 2022
  • Accept Date: 15 June 2022

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