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Accuracy of Two-Dimensional Limit Equilibrium Methods in Predicting Stability of Homogenous Road-Cut Slopes

Author

Listed:
  • Fhatuwani Sengani

    (Department of Civil Engineering and Geomatics, Faculty of Engineering and the Built Environment, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa
    Department of Geology and Mining, Faculty of Science and Agriculture, University of Limpopo, Private Bag X1106, Sovenga 0727, South Africa)

  • Dhiren Allopi

    (Department of Civil Engineering and Geomatics, Faculty of Engineering and the Built Environment, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa)

Abstract

Although limit equilibrium methods are widely used by engineers and scientists in predicting the stability of homogenous slopes, their use has been demonstrated to present significant errors due to the violation of kinematic and static admissibility. The concern is often voiced regarding the accuracy of limit equilibrium methods (LEMs) solutions in predicting the stability of homogenous slopes. There are no exact limit equilibrium solutions or charts available that could be used to check the LEMs solutions. The present study has used the rigorous upper and lower bounds solutions of limit analysis based on finite element formulations of the bound theorems to benchmark and develop an accuracy classification chart of limit equilibrium methods in predicting the stability of the homogenous slope. Six case studies of homogenous road-cut slopes that vary with material properties were used and the effect of the increase in material strength with depth was considered. The results of LEMs and limit analysis solutions have shown that Janbu simplified limit equilibrium solutions are closely related to those of rigorous upper bound solutions with an accuracy error ranging from 1 to 7% in various slope materials. Meanwhile, the Corp of Engineer 2 limit equilibrium solutions were found to overestimate among other methods, with an accuracy error ranging from 12 to 17% in various cases. Based on the results of the study an accuracy error classification chart of LEMs is developed.

Suggested Citation

  • Fhatuwani Sengani & Dhiren Allopi, 2022. "Accuracy of Two-Dimensional Limit Equilibrium Methods in Predicting Stability of Homogenous Road-Cut Slopes," Sustainability, MDPI, vol. 14(7), pages 1-26, March.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:7:p:3872-:d:779237
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    References listed on IDEAS

    as
    1. Fhatuwani Sengani & François Mulenga, 2020. "Application of Limit Equilibrium Analysis and Numerical Modeling in a Case of Slope Instability," Sustainability, MDPI, vol. 12(21), pages 1-33, October.
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    Cited by:

    1. Gongfa Chen & Wei Deng & Mansheng Lin & Jianbin Lv, 2023. "Slope stability analysis based on convolutional neural network and digital twin," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 118(2), pages 1427-1443, September.
    2. Ruichong Zhang & Shiwei Wu & Chengyu Xie & Qingfa Chen, 2022. "Risk Monitoring Level of Stope Slopes and Landslides in High-Altitude and Cold Mines," Sustainability, MDPI, vol. 14(13), pages 1-12, June.

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