# This method is also refered to as "Fellenius' Method" and the "Swedish Circle Method". In 1936, Fellenius proposed the following method for locating the centre of a Repeat the procedure for other mechanisms

Fellenius method of slices concerning that the slices method and a part of circle. In order to determine the slope safety Location of the Critical Failure

In the simplest method of slices (known as Fellenius' method or Swedish method of slices), the resultant of all inter-slice forces is assumed to be consistent with the direction of failure arc for the slice. The slip circle with a minimum FS is called critical slip circle. 21. 1.13 Critical Slip Circle by Fellenius Direction angles In case of slopes in homogeneous cohesive soil deposits, the centre of a critical circle can be directly located by using Fellenius direction angles. Se hela listan på hindawi.com 2 In limit equilibrium method it must search for critical surface by using geometry.

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i cos( i) {– C – u. i. tan(– )} + W. i. cos( ) tan(– ) i=1 n. W. i. sin( i) (3.1.6) Modified Bishop method . Use an initial guess for .

Therefore, the coordinates (x, y) of the location of the mos t critical slip circle centre point (O1) 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’ slices method. However GA needs to be validated with more numeric tests, while Fellenius’ slices method The easiest way is to use iterative procedure.

## 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

F. in eq. (3.3.4) and use the resulting value for – N. i. in eq.

### 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

Locate point O1 the centre of Fellenius circle 2. The slip circle method of slices is commonly used in the analyses of slope stability and bearing capacity for multi-layered ground.

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. According to Fellenius, the center of the critical failure surface lies along a line joining the points P and O, and is obtained by trial and error. The procedure is valid for cohesive soils only. 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. In the case of a slope made out of homogeneous cohesive soil it is possible to determine directly the centre of the critical circle by a method that Fellenius proposed in 1936 (Fig.

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This will give you a new value of . F. to use in eq. (3.3.4).

In first loop, you vary XY coordinates of the centre and then you use second loop to vary radius of slip circle.

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### 1. Introduction. The geotechnical engineer frequently uses limit equilibrium methods of analysis when studying slope stability problems, for example, Ordinary or Fellenius' method (sometimes referred to as the Swedish circle method or the conventional method), Simplified Bishop method, Spencer's method, Janbu's simplified method, Janbu's rigorous method, Morgenstern-Price method, or unified

i cos( i) {– C – u.