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sci.slope-stability-Bishops-simplified Calculator
Calculates the factor of safety for a circular slope failure using Bishop's simplified method with vertical slices and normal force at slice base. FoS = Σ(c'l + N' tan φ')/(Σ W sin α) — iterative solution converges when FoS on each side of the equation agrees; FoS < 1.0 indicates failure.
Inputs
C Kpa
Reference formula or conversion factor shown for context.
Phi Deg
Reference formula or conversion factor shown for context.
H M
Vertical measurement. For health calculators, typically standing height without shoes.
Slope Angle Deg
Reference formula or conversion factor shown for context.
Gamma Knm3
Body or object weight. For health calculators, usually in kg or lbs.
Results
factor of safety FS (simplified)
Strength / applied load. A safety factor of 2.0 means the structure can handle twice the design load before failure. Buildings: 1.5–3. Lifting equipment: 4–6.
stability number Ns = c/(γH)
Measure of how robust the system, structure, or process is to perturbations. Low stability means small changes can cause large deviations.
critical height Hc (m)
The computed height.
FS = c/(γH·sin β cos β) + tan φ / tan β
Sample size or count used in the calculation.
FS classification
Category assigned based on where the computed value falls on a defined scale. Check which standard or guideline defines these boundaries.