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Introduction
Theoretical_Background
   Method of Slices
   Bishop
   Spencer
   Morgenstern & Price
Use of Limit Equilibrium
   Choice of Geometry
   Strengths & Pressures
   Long Term Problems
   Short Term Problems
   Summary
References
Input Instructions
   Geometry
   Boundary Forces
   Pore Pressures
   Strength Parameters
   Earthquake Loading
   Iteration Control
   M-P Method
   Convergence
Examples
   Example 1
   Example 2
   Example 3i
   Example 3ii
   Example 4
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Strength Parameters

Strength parameters for TSLOPE are specified at the base of each slice. This allows the user to base his choice of strength parameters on soil type, stress conditions, direction of slip surface or other factors. The user may specify a curved Mohr-Coulomb strength envelope if desired. The relationship between shear strength and normal stress becomes:

Equation 20 (20)
s = shear strength
c = cohesion
= normal stress on base of slice
1 = friction angle at atmospheric pressure
= reduction in friction angle per 10-fold increase in
Pa = atmospheric pressure

A straight failure envelope may be specified by simply setting = 0.

For effective stress analyses, the parameters c', ', and ' should be specified in order that the shear strength be computed as a function of the effective normal stress at the base of the slice.

For undrained analyses, the friction angle will normally be set equal to zero and the cohesion term will be set equal to the undrained shear strength, the undrained shear strength being determined as a function of the consolidation stress conditions, the direction of the slip surface and so on. However, the undrained shear strengths can also be computed as a function of the normal stresses at the base of each slice by using the parameters c, and to define a total stress strength envelope or to define the relationship between ff and fc that is established by laboratory tests (see Johnson, 1974, for a discussion of the difference between these two ways of describing the variation of undrained strength with confining pressure).

TSLOPE allows the undrained shear strength to be determined automatically as a function of the vertical effective stress. An Su/'vc ratio is entered in which Su is the undrained shear strength and 'vc is the vertical effective stress at the base of the slice.
The program calculates 'vc and multiplies by Su/'vc to determine Su.

Combined S-R strength envelopes can be prescribed by using the option to specify a second set of values for c and , the second set being the drained values. The primary set of values of c, and should be used to specify the undrained strength envelope as this is more likely to be curved. In any event, the program chooses the lower set of strength parameters for the normal force on the base of that slice.

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