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Rock Pillar Safety Factor (Salamon-Munro Empirical) Calculator

Easily calculate and compute rock pillar safety factor (salamon-munro empirical) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.81 SF

Pillar Factor of Safety (FoS)

Pillar Factor of Safety (FoS)

0.81 SF

Pillar Factor Of Safety

0.8066800933601864

Pillar Strength Mpa

9.075151050302097

Average Pillar Stress Mpa

11.25

Width To Height Ratio

2.6666666666666665

0.81 — SF

Calculation Breakdown

  1. Applied FormulaEvaluates the long-term structural factor of safety (FoS) of room-and-pillar mining pillars using Salamon and Munro’s classic power law strength formula for coal and stratified deposits.S_p = K \cdot \frac{w^{0.46}}{h^{0.66}}, \quad \sigma_p = \frac{\gamma \cdot H}{1 - e}, \quad \text{FoS} = \frac{S_p}{\sigma_p}

Rock Pillar Safety Factor Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Pillar Factor of Safety (FoS)

What Is the Rock Pillar Safety Factor (Salamon-Munro Empirical) Calculator?

The Rock Pillar Safety Factor (Salamon-Munro Empirical) Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the Rock Pillar Safety Factor (Salamon-Munro Empirical) Calculator Work?

Evaluates the long-term structural factor of safety (FoS) of room-and-pillar mining pillars using Salamon and Munro’s classic power law strength formula for coal and stratified deposits.

Rock Pillar Safety Factor (Salamon-Munro Empirical) Calculator Formula & Variables

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

Sp=K⋅w0.46h0.66,σp=γ⋅H1−e,FoS=SpσpS_p = K \cdot \frac{w^{0.46}}{h^{0.66}}, \quad \sigma_p = \frac{\gamma \cdot H}{1 - e}, \quad \text{FoS} = \frac{S_p}{\sigma_p}

Evaluates the long-term structural factor of safety (FoS) of room-and-pillar mining pillars using Salamon and Munro’s classic power law strength formula for coal and stratified deposits.

How to Use the Rock Pillar Safety Factor (Salamon-Munro Empirical) Calculator

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

Step-by-Step Example Calculation

Rock Pillar Safety Factor (Salamon-Munro Empirical) Calculator Example

Input Values:

pillarWidthM:8
pillarHeightM:3
miningDepthM:180
extractionRatioPercent:60
rockUnitStrengthK:7.2
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required SF.

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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