Reliability bearing capacity analysis of footings on cohesive soil slopes using RFEM

Abstract Reliability analysis of bearing capacity of a strip footing at the crest of a simple slope with cohesive soil was carried out using the random finite element method (RFEM). Analyses showed that the coefficient of variation and the spatial correlation length of soil cohesion can have a large influence on footing bearing capacity, particularly for slopes with large height to footing width ratios. The paper demonstrates cases where a footing satisfies a deterministic design factor of safety of 3 but the probability of design failure is unacceptably high. Isotropic and anisotropic spatial variability of the soil strength was also considered.

[1]  Abdul-Hamid Soubra,et al.  Probabilistic analysis of strip footings resting on a spatially random soil using subset simulation approach , 2012 .

[2]  Ben Leshchinsky,et al.  Bearing Capacity of Footings Placed Adjacent to c′-ϕ′ Slopes , 2015 .

[3]  Kok-Kwang Phoon,et al.  Reliability-Based Design in Geotechnical Engineering: Computations and Applications , 2009 .

[4]  D. V. Griffiths,et al.  Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited , 2001 .

[5]  R. Bathurst,et al.  Probabilistic analysis of simple slopes with cohesive soil strength using RLEM and RFEM , 2017 .

[6]  Osamu Kusakabe,et al.  BEARING CAPACITY OF SLOPES UNDER STRIP LOADS ON THE TOP SURFACES , 1981 .

[7]  S. C. Handa,et al.  BEARING CAPACITY OF FOOTINGS ADJACENT TO SLOPES , 1989 .

[8]  K. Phoon,et al.  Characterization of Geotechnical Variability , 1999 .

[9]  D. V. Griffiths,et al.  SLOPE STABILITY ANALYSIS BY FINITE ELEMENTS , 1999 .

[10]  Mohsen M. Baligh,et al.  Loaded Areas on Cohesive Slopes , 1983 .

[11]  Gordon A. Fenton,et al.  Probabilistic slope stability analysis by finite elements , 2004 .

[12]  G. Baecher Reliability and Statistics in Geotechnical Engineering , 2003 .

[13]  D. V. Griffiths,et al.  Risk Assessment in Geotechnical Engineering , 2008 .

[14]  Sung-Eun Cho,et al.  Effect of spatial variability of cross‐correlated soil properties on bearing capacity of strip footing , 2010 .

[15]  Konstantinos Georgiadis,et al.  Undrained Bearing Capacity of Strip Footings on Slopes , 2010 .

[16]  J BathurstRichard,et al.  Simplified probabilistic slope stability design charts for cohesive and cohesive-frictional (c-ϕ) soils , 2014 .

[17]  Dian-Qing Li,et al.  Reliability analysis of strip footing considering spatially variable undrained shear strength that linearly increases with depth , 2015 .

[18]  H. Fang,et al.  Stability of Earth Slopes , 1991 .

[19]  G. Fenton,et al.  Simulation of random fields via local average subdivision , 1990 .