Consider the following assumptions for slope stability analysis: i. Friction is fully mobilized ii. Effective stress analysis is adopted iii. Total stress analysis is used iv. Resultant R passes through the centre of the circle v. Resultant R is tangential to the friction circle The assumptions necessary for the friction circle method would include
- Ai, iii, iv
- Bii, iv
- Ci, iii, vCorrect
- Dii, v
Solution
Concept
Friction circle method assumptions
Step-by-step solution
1. The friction circle method uses total stress analysis with the friction fully mobilised. 2. The resultant of the normal and frictional forces on the arc is tangent to the friction circle (radius r sin φm).
Explanation
i, iii and v define the method.
Why the other options are wrong
The resultant does not pass through the centre; effective-stress is not assumed.
Shortcut
Friction circle: total stress, R tangent to the friction circle.
Correct answer: C) i, iii, v