The traditional method of slices was pioneered by Fellenius in 1927-1936. test a large number of different variations to find the location of the critical circle.

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

Mathematical methods for analyzing the stability of many slopes have been available for a number of years. These methods stand ready to be proved, modified, or refuted. There is, therefore, a need for field and laboratory test data taken from actual land­ slides. Unfortunately, insufficient information of this nature can be found in the litera that the critical slip circle is selected during the analysis.

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Results Citations. 1. 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 19 Apr 2017 shear strength reduction (SR) methods for non-circular slip surfaces. multi-slice adjustment method for locating the critical slip surfaces of soil slopes, developed for slope stability analysis, such as the Fellen An efficient search method for finding the critical circular slip surface using the Monte Carlo technique. Canadian Geotechnical Journal, 38(5): 1081–1089.

Adopting limit equilibrium method, under the influence of weight of potential sliding mass and seismic inertia forces, factor of safety is evaluated applying new pseudo-dynamic method based on visco-elastic behaviour of soil which satisfies zero-stress boundary condition and considers soil amplification inherent to soil Ordinary Method of Slices (Fellenius, 1927) Moment equilibrium about center of circle . Circulaire slip surface ; Applicable to non-homogeneous slopes and c-ø soils where slip surface can be approximated by a circle. Very convenient for hand calculations.

1.15 Critical Slip circle in C- φφφφ Soils In case of c-φ soils the procedure for locating critical slip surface is slightly different and is as given below Fig 14: Location of critical circle in c-φφφφ soil 1. Locate point O1 the centre of Fellenius circle 2.

Some methods, such as the ordinary method of slices (Fellenius 1927) and Bishop's modified method (Bishop 1955), 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). Mathematical methods for analyzing the stability of many slopes have been available for a number of years. These methods stand ready to be proved, modified, or refuted.

The initial method adopted for undertaking LE analysis was the Fellenius or Swedish circle method (Fellenius, 1936). This method can only be applied to circular slip surfaces and leads to significant underestimation of the factor of safety (FoS) and is now rarely used. Bishop (1955) developed a revised method for undertaking

Method of Locating the Center of Critical Slip Surface: Fellenius proposed an empirical procedure to find the center of the most critical slip surface in a pure cohesive soil. For the toe failure case, a point Q can be located by drawing two lines at angles α and Ψ at points A and B, as shown in Fig. 17.10.

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Locating Candidates for Extrema for a Function f of Two Variables Step 1: Locate critical points in the interior of the domain To locate interior points, we use the method discussed in Section 8.3: Set f x = 0 and f y = 0 simultaneously, and solve for x and y. Step 2: Locate extrema on the boundary of the domain An embodiment of the present invention uses a single detection system to approximate a location of lightning strikes.

The procedure to locate the line PQ for the downstream and upstream slopes of the embank­ment is shown in Fig. 18.14 (a) and 18.14 (b), respectively. In the current practice, to determine the safety factor of a slope with two-dimensional circular potential failure surface, one of the searching methods for the critical slip surface is Genetic Algorithm (GA), while the method to calculate the slope safety factor is Fellenius slicesmethod.
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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. With a FS=2.5, the critical slope

In order to reduce the number of trails, Fellenius has suggested a method of drawing Bishop A. W. (1955), The use of the slip circle in the stability analysis of earth slopes, Fellenius W. (1936), “Calculation of the stability of earth dams, Transactions of Greco V. R. (1996), Efficient Monte Carlo technique for l The objectives is to check the validity of Fellenious method of locating the centre of rotation by comparing with arbitrary centre of rotation in a grid from the factor  Of these methods, the method of slices used with a circular failure surface is often employed since circles are convenient to analyse and often approximate the.