Probabilistic slope analysis using Janbu's generalized procedure of slices

Abstract Practical spreadsheet techniques are proposed for the deterministic slope stability analysis based on Janbu's generalized procedure of slices (GPS) and a probabilistic analysis that obtains the same reliability index as the first order reliability method (FORM). The equilibrium equations of slices are solved automatically. An intuitive ellipsoid perspective greatly simplifies the reliability analysis. A search for the deterministic critical slip surface and the reliability-based critical slip surface is automatic, despite the fact that the factor-of-safety expressions and the performance function are non-explicit. The conceptual simplicity, ease of implementation, and practical versatility of the proposed perspectives and methods are emphasized.

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