The Swedish Circle Method, used for slope stability analysis, is based on which of the following assumption(s)? i. The failure surface is a circular arc ii. The soil mass behaves elastically during failure iii. The slope is homogeneous and isotropic
- AOnly (i)Correct
- BOnly (i) and (ii)
- COnly (ii) and (iii)
- D(i), (ii) and (iii)
Solution
Concept
Assumptions of Swedish circle stability analysis
Formula
NONE
Step-by-step solution
1. The Swedish circle method assumes a circular failure surface for stability analysis of clay slopes. 2. Classical limit equilibrium slope stability methods simplify soil conditions by assuming a homogeneous, isotropic soil profile. Answer: A
Explanation
The Swedish circle method assumes that slope failure occurs along a circular arc under limit equilibrium conditions. The method treats the sliding soil mass as a rigid body at failure rather than an elastic material. Because only statement i represents a fundamental assumption of this analysis, option A is correct.
Why the other options are wrong
B) Statement (iii) is also a fundamental assumption made in the Swedish Circle Method. C) Statement (i) is also a primary assumption defining the Swedish Circle Method.
Shortcut
Swedish Circle Method assumes a circular arc in homogeneous soil, not elastic behavior during failure.
Common mistake
Selecting option D or B by mistakenly assuming the soil mass behaves elastically during failure.
Correct answer: A) Only (i)