Year: 2026 | Month: June | Volume: 13 | Issue: 6 | Pages: 46-56
DOI: https://doi.org/10.52403/ijrr.20260606
Statistical Analysis of the Influence of Soil Parameters on the Bearing Capacity Reduction Factor Using the Design of Experiments Method
Hamed FALL1, Dame DIOP2, Mouhamath DIA1
1Département de Géotechnique, UFR Sciences de l’Ingénieur, Université Iba Der Thiam de Thiès, Senegal
2Département de Génie Civil, UFR Sciences de l’Ingénieur, Université Iba Der Thiam de Thiès, Senegal
Corresponding Author: Hamed FALL
ABSTRACT
When a foundation rests at the edge of a slope, its stability becomes a major concern, particularly regarding the precise determination of its bearing capacity. Nevertheless, it is necessary to account for the influence of the slope on bearing capacity when designing structures to ensure their stability and overall safety. Consequently, authors have proposed introducing a bearing capacity reduction factor, following the example of Bakir and Gemperline. However, these authors (Bakir, Gemperline) have provided analytical expressions for estimating the reduction factor to be applied to the bearing capacity of the soil; these expressions do not depend on the physical and mechanical properties of the soil. This paper propose an statistical analysis of the influence of those parameters (cohesion, friction angle, and Young modulus) by using design experiment methods and the analysis of variance method. It shows an influence of 81.25% of cohesion, and 12 % of Young’s modulus, while the friction angle has no influence.
Keywords: Shallow foundation, reduction factor, design of experiment, analysis of variance, bearing capacity
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