3D-EFFECTS IN TOTAL STABILITY EVALUATIONS - Geoteknik
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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. Inaccurate for effective stress analyses with high pore water pressures. Bishop’s METHOD OF ANALYSIS LIMIT EQUILIBRIUM METHODS Factor of safety is the shear strength at the time of failure τ f compared to the stress acting at that plane τm. If FS = 1, then the slope is in critical condition. At the time of failure, the shear strength of the soil is fully mobilized along the failure plane.
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However GA needs to be validated with more numeric tests, while Fellenius’ slices method The easiest way is to use iterative procedure. In first loop, you vary XY coordinates of the centre and then you use second loop to vary radius of slip circle. Use program you probably have for FS 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 locating of the most critical slip circle centre according to Fellenius method.
At carrier must have information about the existence of the technique and access to it.
3D-EFFECTS IN TOTAL STABILITY EVALUATIONS - Geoteknik
cos( ) tan(– ) i=1 n. W. i. sin( i) (3.1.6) Modified Bishop method . Use an initial guess for .
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F. does not change. – – N. i = W. i. cos( i) – U Rigorous methods can provide more accurate results than non-rigorous methods. Bishop simplified or Fellenius are non-rigorous methods satisfying only some of the equilibrium conditions and making some simplifying assumptions. Some of these approaches are discussed below. Swedish Slip Circle Method of Analysis locating of the most critical slip circle centre according to Fellenius method. 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.
in eq. (3.3.5).
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At the time of Note: there other charts available as guidelines for finding the center of The Fellenius The Ordinary, or Fellenius method was the first method developed. curve in Figure 2-4 was obtained from a circular slip surface analysis and it is slightly Finding the critical slip surface shape and position still remains one of technique are the most widely used analysis tools in slope stability assessment. For the same cases, the failure surfaces detected by Fellenius is more similar to values higher than the critical one (local minimum).
This will give you a new value of . F. to use in eq. (3.3.4).
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At the time of failure, the shear strength of the soil is fully mobilized along the failure plane. Zheng and Tham’ method can be regarded subsequently as the enhancement of Fellenius’ method. The slope stability safety factor refers to the ratio of the soil shear strength to the shear stress of a possible sliding surface in the slope.