Geomechanics and Engineering

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Probabilistic bearing capacity of strip footing on reinforced anisotropic soil slope

  • Halder, Koushik (Department of Civil Engineering, Indian Institute of Technology Kharagpur) ;
  • Chakraborty, Debarghya (Department of Civil Engineering, Indian Institute of Technology Kharagpur)
  • Received : 2019.04.26
  • Accepted : 2020.08.26
  • Published : 2020.10.10
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Abstract

The probabilistic bearing capacity of a strip footing placed on the edge of a purely cohesive reinforced soil slope is computed by combining lower bound finite element limit analysis technique with random field method and Monte Carlo simulation technique. To simulate actual field condition, anisotropic random field model of undrained soil shear strength is generated by using the Cholesky-Decomposition method. With the inclusion of a single layer of reinforcement, dimensionless bearing capacity factor, N always increases in both deterministic and probabilistic analysis. As the coefficient of variation of the undrained soil shear strength increases, the mean N value in both unreinforced and reinforced slopes reduces for particular values of correlation length in horizontal and vertical directions. For smaller correlation lengths, the mean N value of unreinforced and reinforced slopes is always lower than the deterministic solutions. However, with the increment in the correlation lengths, this difference reduces and at a higher correlation length, both the deterministic and probabilistic mean values become almost equal. Providing reinforcement under footing subjected to eccentric load is found to be an efficient solution. However, both the deterministic and probabilistic bearing capacity for unreinforced and reinforced slopes reduces with the consideration of loading eccentricity.

Keywords

Acknowledgement

The authors gratefully acknowledge the Department of Science and Technology, Government of India for their financial support vide Science and Engineering Research Board (SERB) research project grant number DST No: SB/FTP/ETA-0061/2014 dated 17/07/2014.

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