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Mine Slope Safety Factor (Bishop Slices) Calculator

Easily calculate and compute mine slope safety factor (bishop slices) calculator with accurate equations, live formulas, and expert guidance.

Cohesive force resisting slip across failure arc.

Total weight of all soil slices.

Buoyancy uplift from groundwater phreatic surface.

Internal angle of friction.

Average inclination of circular failure plane base.

Calculated Result
1.01

Factor of Safety (FS)

Factor of Safety (FS)

1.01

Factor Of Safety Fs

1.01

Driving Force K N

4504

Resisting Shear Force K N

4540

Slope Stability Status

Marginal Stability Risk (1.0 <= FS < 1.3)

1.01

Calculation Breakdown

  1. Applied FormulaSolves the iterative Bishop Simplified Method of Slices to calculate the Factor of Safety (FS) for open-pit mine highwalls, waste rock dumps, and tailings dam slopes.\text{FS} = \frac{\sum \frac{c'b + (W - ub)\tan\phi'}{m_\alpha}}{\sum W \sin\alpha}, \quad m_\alpha = \cos\alpha \left(1 + \frac{\tan\alpha\tan\phi'}{\text{FS}}\right)

Bishop Slope Stability Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Factor of Safety (FS)

What Is the Mine Slope Safety Factor (Bishop Slices) Calculator?

This tool computes mine slope safety factor (bishop slices) calculator with high precision arithmetic.

How Does the Mine Slope Safety Factor (Bishop Slices) Calculator Work?

Solves the iterative Bishop Simplified Method of Slices to calculate the Factor of Safety (FS) for open-pit mine highwalls, waste rock dumps, and tailings dam slopes.

Mine Slope Safety Factor (Bishop Slices) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

FS=∑c′b+(W−ub)tan⁡ϕ′mα∑Wsin⁡α,mα=cos⁡α(1+tan⁡αtan⁡ϕ′FS)\text{FS} = \frac{\sum \frac{c'b + (W - ub)\tan\phi'}{m_\alpha}}{\sum W \sin\alpha}, \quad m_\alpha = \cos\alpha \left(1 + \frac{\tan\alpha\tan\phi'}{\text{FS}}\right)

Solves the iterative Bishop Simplified Method of Slices to calculate the Factor of Safety (FS) for open-pit mine highwalls, waste rock dumps, and tailings dam slopes.

How to Use the Mine Slope Safety Factor (Bishop Slices) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Mine Slope Safety Factor (Bishop Slices) Calculator Example

Input Values:

totalCohesionForceSumCPrimeBKN:1450.0
totalSliceWeightSumWKN:8500.0
totalPorePressureSumUKN:1600.0
effectiveFrictionAnglePhiPrimeDeg:28.0
averageSlipCircleInclinationAlphaDeg:32.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Factor of Safety (FS).

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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