An efficient search method for finding the critical circular slip surface using the Monte Carlo technique. Canadian Geotechnical Journal, 38(5): 1081–1089.

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An efficient search method for finding the critical circular slip surface using the Monte Carlo technique. Canadian Geotechnical Journal, 38(5): 1081–1089.

However, in the case of ground consisting of horizontal sandy layer, it is known that modified Fellenius׳ method tends to underestimate the factor of safety, while simplified Bishop׳s method tends to overestimate the factor of safety. 2 In limit equilibrium method it must search for critical surface by using geometry. In finite element method the critical surface is automatically find out by various software’s. 3 The advantages of limit equilibrium method: The limit equilibrium method of slices is based on purely on the principles of statics; that is, the

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The common methods for the analysis of a slope’s stability are Culmann Method, Ordinary Method of Slices and Bishop Method of Slices. These methods are developed on the assumption that the plane of failure is circular arc, apart from the Culmann method that assumes a plane surface of failure through the toe of the slope. Since β=56o and D →∞, this should be a toe circle. From Fig. 14.10 of Ref. 1, α=32oand θ=77o. In this case, the scarp will intersect the top of the slope at a distance 24.6 *() cot32 cot56 23. tan 1 tan 1 L H ⎟⎟= ft − = ft ⎠ ⎞ ⎜⎜ ⎝ ⎛ = − o o α β from the crown of the slope. c.

between the factor of safety equations derived by Fellenius and a modified form of circles that were analyzed, the Morgenstern and Price procedure yielded Critical slip surfaces for slope stability (factor of safety is approximate

tan(– )} + W. i. cos( ) tan(– ) i=1 n. W. i. sin( i) (3.1.6) Modified Bishop method .

Fellenius method of locating critical circle

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Use an initial guess for . F. in eq.

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Fellenius method of locating critical circle

This will give you a new value of .

In finite element method the critical surface is automatically find out by various software’s. 3 The advantages of limit equilibrium method: The limit equilibrium method of slices is based on purely on the principles of statics; that is, the
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The stability analyses show that the factor of safety and depth of the critical circle (i.e., above versus below the sand layer) are sharply affected by both the value of s u / σ v0 ′ (0.33 versus 0.29) and the method of slices (Fellenius versus Bishop).

2009-01-01 · In Fellenius method the center of the initial critical circle, O, is assumed to be the intersection of two lines set off from the base and top of the slope. A point, P, is then fixed 2H below the top of the slope and 4.5H horizontally from the toe of the slope, H being the height of the slope.