Abstract
This paper presents a numerical analysis of the centric loading of a strip footing on a cohesive slope. This paper investigates the influence of slope geometry (β), soil strength (Cu), normalized footing distances (λ), and an embedded depth ratio on bearing capacity (Dƒ/B). These factors are compared with the previous literature. It is evident from the results that slope geometry (β), soil strength (Cu), normalized footing distances (λ), and embedded depth ratio (Dƒ/B) have significant effects on undrained bearing capacity. The slope creates an unfavorable effect on bearing capacity by reducing the resistance in the passive wedge. Compared to shallow foundations, deeply installed foundations have a much higher ultimate bearing capacity.
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All data, models, or codes supporting this study’s findings are available from the corresponding author upon reasonable request.
Abbreviations
- B :
-
Footing width
- L :
-
Footing length
- λ :
-
Footing distance ratio
- λ* :
-
Distance between the base of the footing and the slope face
- D ƒ :
-
Embedded depth
- q u :
-
The ultimate load of footing near a slope
- β° :
-
Slope angle
- γ :
-
Unit weight of soil
- φ :
-
Internal friction angle
- C u :
-
Soil cohesion
References
Alzabeebee, S.: Interference of surface and embedded three strip footings in undrained condition. Transp Infrastruc Geotechnol. 9(2), 250–267 (2022)
Anaswara, S., Shivashankar, R.: Study on behaviour of two adjacent strip footings on granular bed overlying clay with a void. Transp Infrastruc Geotechnol. 7(3), 461–477 (2020)
Anaswara, S., Lakshmy, G.S., Shivashankar, R.: Interference studies of adjacent strip footings on unreinforced and reinforced sands. Transp Infrastruc Geotechnol. 7, 535–561 (2020)
Ashtiani, M., Ghalandarzadeh, A., Towhata, I.: Centrifuge modeling of shallow embedded foundations subjected to reverse fault rupture. Can Geotech J. 53(3), 505–519 (2015)
Azzouz, A.S., Baligh, M.M.: Loaded areas on cohesive slopes. J Geotech Eng. 109(5), 724–729 (1983)
Baah-Frempong, E., Shukla, S.K.: Embedded strip footing in a geotextile reinforced sand slope. Proc Inst of Civ Engineers-Ground Improvement. 174(2), 116–31 (2021)
Badakhshan, E., Noorzad, A., Zameni, S.: Eccentrical behavior of square and circular footings resting on geogrid-reinforced sand. Intl J Geotech Eng. 14(2), 151–161 (2020)
Briaud, J.L., Gibbens, R.M.: Predicted and measured behavior of five spread footings on sand. ASCE LIBRARY (1994)
Chen, T., Xiao, S.: An upper bound solution to undrained bearing capacity of rigid strip footings near slopes. Intl J Civ Eng. 18(4), 475–485 (2020)
Chen, H., Zhu, H.: & Zhang, L: An analytical approach to the ultimate bearing capacity of smooth and rough strip foundations on rock mass considering three-dimensional (3D) strength. Comput Geotech 149, 104865 (2022)
Edwards, D., Zdravkovic, L., Potts, D.: Depth factors for undrained bearing capacity. Géotechnique 55(10), 755–758 (2005)
Fattah, M.Y., Karim, H.H., Al-Qazzaz, H.H.: Effect of embedment depth on cyclic behavior of tank footings on dry sand. Transp Infrastruc Geotechnol. 9(2), 220–235 (2022)
FLAC.: Fast Lagrangian Analysis of Continua, version 5.0. ITASCA Consulting Group, Inc., Minneapolis (2005)
Frydman, S., Burd, H.J.: Numerical studies of bearing-capacity factor Nγ. J Geotech Geoenviron Eng 123(1), 20–29 (1997)
Georgiadis, K.: Undrained bearing capacity of strip footings on slopes. J Geotech Geoenviron Eng 136(5), 677–685 (2010)
Ghazavi, M., Dehkordi, P.F.: Interference influence on behavior of shallow footings constructed on soils, past studies to future forecast: a state-of-the-art review. Transp Geotech. 27, 100502 (2021)
Graham, J., Andrews, M., Shields, D.H.: Stress characteristics for shallow footings in cohesionless slopes. Can Geotech J. 25(2), 238–249 (1988)
Han, Y., Cheng, J., Zheng, W., Ding, S.: Estimating the uplift bearing capacity of belled piers adjacent to sloping ground by numerical modeling based on field tests. Advances in Civil Engineering. 1-12 (2020)
Hansen, J. B.: A revised and extended formula for bearing capacity. Bulletin No. 28, Danish Geotechnical Institute, Copenhagen, Denmark (1970)
Huang, C.-C.: Effects of restraining conditions on the bearing capacity of footings near slopes. Soils and Foundations. 59(1), 1–12 (2019)
Jiang, C., He, J.-L., Liu, L., Sun, B.-W.: Effect of loading direction and slope on laterally loaded pile in sloping ground. Advances in Civil Engineering. 1-12 (2018)
Ko, K.-W., Ha, J.-G., Park, H.-J., Kim, D.-S.: Comparison between cyclic and dynamic rocking behavior for embedded shallow foundation using centrifuge tests. Bull Earthq Eng. 16(11), 5171–5193 (2018)
Kusakabe, O., Kimura, T., T., Yamaguchi, H.: Bearing capacity of slopes under strip loads on the top surfaces. Soils and Foundations. 21(4), 29–40 (1981)
Lai, V.Q., Lai, F., Yang, D., Shiau, J., Yodsomjai, W., Keawsawasvong, S.: Determining seismic bearing capacity of footings embedded in cohesive soil slopes using multivariate adaptive regression splines. Intl J Geosynth Ground Eng. 8(4), 1–18 (2022)
Leshchinsky, B.: Bearing capacity of footings placed adjacent to c′-ϕ′ slopes. J Geotech Geoenviron Eng. 41(6), 04015022 (2015)
Leshchinsky, B., Xie, Y.: Bearing capacity for spread footings placed near c′-ϕ′ slopes. J Geotech Geoenviron Eng. 143(1), 06016020 (2017)
Li, C., Zhou, A., Jiang, P.: Eccentric bearing capacity of embedded strip footings placed on slopes. Comput Geotech. 119, 103352 (2020)
Meyerhof, G.: The ultimate bearing capacity of foundations on slopes. In Proc., 4th Int. Conf. on Soil Mechanics and Foundation Engineering, London. 1, 384–386 (1957).
Nalkiashari, L.A., Firouzeh, S.H., Payan, M., Chenari, R.J., Shafiee, A.: Interaction of rigid shallow foundation with dip-slip normal fault rupture outcrop: effective parameters and retrofitting strategies. Comput Geotech. 149, 104866 (2022)
Nova, R., Montrasio, L.: Settlements of shallow foundations on sand. Géotechnique. 41(2), 243–256 (1991)
Okamura, M., Takemura, J., Kimura, T.: Centrifuge model tests on bearing capacity and deformation of sand layer overlying clay. Soils and Foundations. 37(1), 73–88 (1997)
Prandtl, L.: Über die härte plastischer körper, pp. 74–85. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch Physikalische Klasse (1920)
Qian, Z.-Z., Lu, X.-L., Yang, W.-Z.: Comparative field tests on straight-sided and belled piers on sloping ground under combined uplift and lateral loads. J Geotech Geoenviron Eng. 145(1), 04018099 (2019)
Salgado, R., Lyamin, A., Sloan, S., Yu, H.: Two-and three-dimensional bearing capacity of foundations in clay. Géotechnique. 54(5), 297–306 (2004)
Shiau, J., S., Merifield. R. S., Lyamin. A.V., Sloan.S.W.: Undrained stability of footings on slopes. Int. J. Geomech; ASCE. 11, 381-390 (2011)
Shiau, J., Watson, J.: 3D bearing capacity of shallow foundations located near deep excavation sites. Paper presented at the Proceedings of the 2008 International Conference on Deep Excavation (ICDE 2008). Singapore 10-12 (2008)
Shields, D.H., Chandler, N., Garnier, J.: Bearing capacity of foundation in slopes. J Geotech Eng, ASCE. 116, 528–537 (1990)
Terzaghi, K.: Theory of consolidation, pp. 265–296. Theoretical Soil Mechanics, John Wiley and Sons Inc, New York, USA (1943)
Vesic, A.S.: Analysis of ultimate loads of shallow foundations. J Soil Mech Foundations Division 99(sm1), 45–73 (1973)
Vesic. A. S.: Bearing capacity of shallow foundations. In: Winterkorn HF, Fang HY, editors. Foundation engineering handbook. Van Nostrand Reinhold (1975)
Wu, G., Zhao, H., Zhao, M., Xiao, Y.: Undrained seismic bearing capacity of strip footings lying on two-layered slopes. Comput Geotech. 122, 103539 (2020)
Wu, Y., Zhou, X., Gao, Y., Shu, S.: Bearing capacity of embedded shallow foundations in spatially random soils with linearly increasing mean undrained shear strength. Comput Geotech. 122, 103508 (2020)
Yang, S., Leshchinsky, B., Cui, K., Zhang, F., Gao, Y.: Unified approach toward evaluating bearing capacity of shallow foundations near slopes. J Geotech Geoenviron Eng. 145(12), 04019110 (2019)
Zhou, H., Zheng, G., Yin, X., Jia, R., Yang, X.: The bearing capacity and failure mechanism of a vertically loaded strip footing placed on the top of slopes. Comput Geotech. 94, 12–21 (2018)
Acknowledgements
We would like to acknowledge the team of LRGC Biskra.
Funding
This study was supported by the University of Khenchela and the Laboratory of Research in Civil Engineering, Biskra.
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Baazouzi Messaoud acquired methodology and contributed to the investigation, data curation, and writing—original draft.
Boudiaf Khaoula acquired software and contributed to the investigation and data curation.
Tabet Mohamed contributed to writing—reviewing and editing.
Rahmouni Ouassimc contributed to writing—reviewing and editing.
Nassima Zatar contributed to reviewing and editing.
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Baazouzi, M., Khaoula, B., Mohamed, T. et al. Numerical Analysis to Assess the Bearing Capacity of Footings Embedded in Cohesive Soil Slope. Transp. Infrastruct. Geotech. 11, 263–282 (2024). https://doi.org/10.1007/s40515-023-00280-8
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DOI: https://doi.org/10.1007/s40515-023-00280-8