G R Chen’s research while affiliated with Hohai University and other places

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Publications (1)


A concise algorithm for computing the factor of safety using the Morgenstern–Price method
  • Article

January 2011

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848 Reads

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129 Citations

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C F Lee

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Q H Qian

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G R Chen

A concise algorithm is proposed in this paper for the calculation of the factor of safety of a slope using the Morgenstern–Price method. Based on force and moment equilibrium considerations, two expressions are derived for the factor of safety Fs and the scaling factor λ, respectively, both in relatively simple forms. With this algorithm and assumed initial values of Fs and λ, the solutions for Fs and λ are found to converge within a few iterations. Compared to other procedures, the present algorithm possesses the advantages of simplicity and high efficiency in application. It is rather straightforward to implement this algorithm into a computer program.Key words: slope, stability, factor of safety, limit equilibrium method.

Citations (1)


... Raghuram and Basha (2023) utilized the Morgenstern-Price (MP) method with formulations from Fredlund and Rahardjo (1993), which can be complex due to nonlinear equilibrium equations requiring iterative solutions (Morgenstern and Price 1965;Fredlund and Krahn 1977;Zhu et al. 2001). Zhu et al. (2005) improved the FS and λ algorithm for easier implementation. For unsaturated soil slopes without rainfall, the MP method remains the most precise approach (Fredlund and Krahn 1977;Fredlund and Rahardjo 1993;Zhang et al. 2016;Raghuram and Basha 2023). ...

Reference:

Optimization of Factors of Safety and Displacements of Unsaturated Soil Slopes by the Bioinspired Metaheuristic Method
A concise algorithm for computing the factor of safety using the Morgenstern–Price method
  • Citing Article
  • January 2011