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Open-Pit Mine Slope Stability (Bishop Simplified) Calculator

Easily calculate and compute open-pit mine slope stability (bishop simplified) calculator with accurate equations, live formulas, and expert guidance.

Shear resistance along slip circle based on cohesion and friction.

Down-slope gravitational shear force sum (∑ W sin α).

Ratio of pore water pressure to total overburden weight.

Calculated Result
1.21 ratio

Factor of Safety (FoS)

Factor of Safety (FoS)

1.21 ratio

Factor Of Safety

1.2101694915254237

Stability Status

UNSTABLE / FAILURE RISK (FoS < 1.30)

Net Resisting Kn

3570

Total Resisting Force Sum Kn

4200

1.21 — ratio

Calculation Breakdown

  1. Applied FormulaSolves Bishop’s simplified limit equilibrium method of slices to calculate factor of safety (FoS) against circular shear failure in open-pit mine slopes.FS = \frac{\sum \frac{c' \Delta x + (W - u \Delta x) \tan\phi'}{m_\alpha}}{\sum W \sin\alpha}

Bishop Slope Stability Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.60.91.2Factor of Safety (FoS)

What Is the Open-Pit Mine Slope Stability (Bishop Simplified) Calculator?

This tool computes open-pit mine slope stability (bishop simplified) calculator with high precision arithmetic.

How Does the Open-Pit Mine Slope Stability (Bishop Simplified) Calculator Work?

Solves Bishop’s simplified limit equilibrium method of slices to calculate factor of safety (FoS) against circular shear failure in open-pit mine slopes.

Open-Pit Mine Slope Stability (Bishop Simplified) Calculator Formula & Variables

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

FS=∑c′Δx+(W−uΔx)tan⁡ϕ′mα∑Wsin⁡αFS = \frac{\sum \frac{c' \Delta x + (W - u \Delta x) \tan\phi'}{m_\alpha}}{\sum W \sin\alpha}

Solves Bishop’s simplified limit equilibrium method of slices to calculate factor of safety (FoS) against circular shear failure in open-pit mine slopes.

How to Use the Open-Pit Mine Slope Stability (Bishop Simplified) Calculator

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

Step-by-Step Example Calculation

Open-Pit Mine Slope Stability (Bishop Simplified) Calculator Example

Input Values:

totalResistingForceSumKn:4200
totalDrivingForceSumKn:2950
poreWaterPressureCoeffRu:0.15
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required ratio.

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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