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Slope Stability Analyzer

Simplified Bishop Method · Circular Failure Surface · Method of Slices

✓ STABLE — FS ≥ 1.5

Bishop simplified FS converged over 12 slices on the trial circular surface.

1.94

Factor of Safety

Slope Geometry & Soil

Slope Height (H)

Slope Angle (β)5–80

Cohesion (c)

kPa

Friction Angle (φ)

Unit Weight (γ)

kN/m³

Pore Ratio (ru)0–0.7

Number of Slices4–30

Analysis Output

Factor of Safety1.944

Σ Resisting Moment/R1,159 kN/m

Σ Driving (W·sinα)596 kN/m

Total sliding mass W2,475 kN/m

Active slices12

Slip circle radius (R)8.6 m

Slope length (toe run)17.3 m

Method & References

Bishop (1955) simplified method of slices

FS = Σ[(c·b + (W−u·b)·tanφ)/mα] / Σ(W·sinα)

mα = cosα + sinα·tanφ/FS (iterated)

ru = pore pressure ratio u/(γ·h)

FS ≥ 1.5 = stable (typical design target)

Cross-section · Trial slip circle & method of slices

Ground surface

Failure arc

Slices

Circle center