Bearing capacity factors of circular foundations for a general c-ϕ soil using lower bound finite elements limit analysis

Author(s):  
Jyant Kumar ◽  
Vishwas N. Khatri
1992 ◽  
Vol 29 (5) ◽  
pp. 870-873 ◽  
Author(s):  
D. N. Singh ◽  
P. K. Basudhar

A generalized procedure based on finite elements and nonlinear programming has been presented in this paper for finding the optimal lower bound pull-out capacity of inclined strip anchors in sands. The results obtained are compared with the values reported in the literature to validate the suggested method of analysis. The predicted values are found to be in excellent agreement with that of Meyerhof. Key words : limit analysis, lower bound, nonlinear programming, inclined anchors, uplift capacity.


2015 ◽  
Vol 52 (12) ◽  
pp. 2134-2140 ◽  
Author(s):  
Manash Chakraborty ◽  
Jyant Kumar

Bearing capacity factors, Nc, Nq, and Nγ, for a conical footing are determined by using the lower and upper bound axisymmetric formulation of the limit analysis in combination with finite elements and optimization. These factors are obtained in a bound form for a wide range of the values of cone apex angle (β) and [Formula: see text] with δ = 0, 0.5[Formula: see text], and [Formula: see text]. The bearing capacity factors for a perfectly rough (δ = [Formula: see text]) conical footing generally increase with a decrease in β. On the contrary, for δ = 0°, the factors Nc and Nq reduce gradually with a decrease in β. For δ = 0°, the factor Nγ for [Formula: see text] ≥ 35° becomes a minimum for β ≈ 90°. For δ = 0°, Nγ for [Formula: see text] ≤ 30°, as in the case of δ = [Formula: see text], generally reduces with an increase in β. The failure and nodal velocity patterns are also examined. The results compare well with different numerical solutions and centrifuge tests’ data available from the literature.


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