The 'bishop''s simplified method' for circular slip surface analysis computes FOS by:
Choose the correct answer
Infinite slope analysis (no slices)
Vertical slice method with moment equilibrium and iteration: FOS=Σ(resistance)/Σ(driving) accounting for pore pressure u
Rankine earth pressure at the toe
Only the most critical slip surface without iteration
Correct Answer
B. Vertical slice method with moment equilibrium and iteration: FOS=Σ(resistance)/Σ(driving) accounting for pore pressure u
Why is this the answer?
Bishop''s simplified: slip circle; divides into vertical slices. FOS = Σ[c'b + (W-ub)tanφ'] / mα / ΣW sinα where mα = cosα + sinα×tanφ'/FOS (requires iteration). Simplified: ignores inter-slice shear forces (retains inter-slice normal). More accurate than Ordinary Method of Slices (OMS/Fellenius). For most soil conditions: Bishop's gives FOS ≈ 0–15% higher than OMS. Standard for circular failure in homogeneous slopes.
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