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Risk Assessment of Three-Dimensional Bearing Capacity of a Circular Footing Resting on Spatially Variable Sandy Soil
The present study investigates the probabilistic assessment of the three-dimensional bearing capacity of a circular footing resting on spatially variable sandy soil. The random finite-difference method and Monte Carlo simulation (MCS) technique are utilized to execute all numerical analyses. Three different combinations of friction and dilation angles (ϕ = 30°, ψ = 0°; ϕ = 35°, ψ = ϕ/6; and ϕ = 40°, ψ = ϕ/3) are considered in this study. The tangent of friction angle (tanϕ) is assumed as the lognormally distributed random field. The variations in mean bearing capacity (μq) and failure probability (pf) are presented with respect to normalized horizontal scales of fluctuation (θx/D = θy/D) for different friction and dilation angles (ϕ and ψ), coefficients of variation of tanϕ (COVtanϕ), normalized vertical scales of fluctuation (θz/D), and footing diameters (D). The effect of negative cross-correlation between c and tanϕ is explored. The changes in pf for different factors of safety (FOS), COVtanϕ, and θx/D = θy/D are also illustrated in this study. Based on this observation, the target failure probability (pf_tgt) is plotted against the required factor of safety (FOSreq). The variations in the allowable bearing capacity (qad) in the design of the footing are also illustrated for different reliability indices (β), COVtanϕ, and θx/D = θy/D.
Risk Assessment of Three-Dimensional Bearing Capacity of a Circular Footing Resting on Spatially Variable Sandy Soil
The present study investigates the probabilistic assessment of the three-dimensional bearing capacity of a circular footing resting on spatially variable sandy soil. The random finite-difference method and Monte Carlo simulation (MCS) technique are utilized to execute all numerical analyses. Three different combinations of friction and dilation angles (ϕ = 30°, ψ = 0°; ϕ = 35°, ψ = ϕ/6; and ϕ = 40°, ψ = ϕ/3) are considered in this study. The tangent of friction angle (tanϕ) is assumed as the lognormally distributed random field. The variations in mean bearing capacity (μq) and failure probability (pf) are presented with respect to normalized horizontal scales of fluctuation (θx/D = θy/D) for different friction and dilation angles (ϕ and ψ), coefficients of variation of tanϕ (COVtanϕ), normalized vertical scales of fluctuation (θz/D), and footing diameters (D). The effect of negative cross-correlation between c and tanϕ is explored. The changes in pf for different factors of safety (FOS), COVtanϕ, and θx/D = θy/D are also illustrated in this study. Based on this observation, the target failure probability (pf_tgt) is plotted against the required factor of safety (FOSreq). The variations in the allowable bearing capacity (qad) in the design of the footing are also illustrated for different reliability indices (β), COVtanϕ, and θx/D = θy/D.
Risk Assessment of Three-Dimensional Bearing Capacity of a Circular Footing Resting on Spatially Variable Sandy Soil
Iran J Sci Technol Trans Civ Eng
Choudhuri, Kouseya (author) / Chakraborty, Debarghya (author)
2023-12-01
18 pages
Article (Journal)
Electronic Resource
English
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