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- Title
A novel stability equation for the estimation of the factor of safety for homogeneous dry finite slopes.
- Authors
Sampa, Naloan Coutinho; Schorr, Joshua
- Abstract
This paper introduces a novel closed‐form equation (surrogate model) for approximating the Morgenstern–Price estimate of the factor of safety of homogeneous dry finite slopes with circular failure surfaces. Unlike typically used methods, the proposed equation does not require the definition of a critical failure surface, splitting the soil mass into slices, or the iterative reduction of soil resistance to the limit state. It can be easily programmed into calculators or computers and accurately determines the minimum factor of safety based on the shear strength parameters and slope geometry—meaning that it is ideally suited for integration into reliability calculations. The equation is determined parametrically for various soil parameters and slope geometry using the Morgenstern–Price method and compares favorably with conventional techniques, such as slope stability charts, limit equilibrium, and strength reduction methods (SRM). From a practical perspective, the proposed equation greatly simplifies the analysis of the slope stability as the creation of a numerical model is not required and is suited to use in the feasibility stage of a project, for example, for large linear infrastructure projects with differing slope geometries or in situations where a quick assessment is desired.
- Subjects
SLOPES (Soil mechanics); SAFETY factor in engineering; ROCK slopes; SLOPE stability; SHEAR strength; EQUATIONS
- Publication
International Journal for Numerical & Analytical Methods in Geomechanics, 2024, Vol 48, Issue 9, p2430
- ISSN
0363-9061
- Publication type
Article
- DOI
10.1002/nag.3744