Applications of Statistical Design of Experiments to Study the Factor of Safety of Unreinforced Slopes

Yuderka Trinidad Gonzalez, Vernon Schaefer, Derrick K. Rollins

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding


A technique of statistical design of experiments (DoE) is combined with finite element (FE) analysis to evaluate the strength reduction factor (SRF) sensitivity to slope geometry and soil properties such as slope height (H), the slope angle of inclination (β), friction angle (φ'), cohesion (c' or c), elastic modulus (E), Poisson's ratio (v), pore water coefficient (ru), and unit weight (γ). The analysis is conducted by performing two-dimensional FE analysis in a central composite design fashion classifying the soil into three groups: purely cohesive (c, undrained analysis), purely frictional (φ'), and mixed soils (c' and φ'). The findings indicate that for the mixed soils, six main coefficients (c', β, ru, φ', γ, H) and their interactions have significant effects on the response. For the purely cohesive soils, c, H, β, and their interactions have larger effects on SRF. For purely frictional soils, the larger positive effect comes from φ', and the large negative effects come from β, ru, and their interactions. Based on the results, recommendations for achieving optimum stabilization techniques for each soil group are given.

Original languageEnglish
Title of host publicationProceedings of the technical sessions of the international foundations congress & equipment expo ASCE, Dallas, Texas, May 10-14, 2021.
Number of pages9
EditionGSP 325
Publication statusPublished - 2022

Publication series

NameGeotechnical Special Publication
PublisherAmerican Society of Civil Engineers
ISSN (Print)0895-0563

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Architecture
  • Building and Construction
  • Geotechnical Engineering and Engineering Geology


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