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Underground Mine Coal & Hard Rock Pillar Strength (Salamon-Munro) Calculator

Easily calculate and compute underground mine coal & hard rock pillar strength (salamon-munro) calculator with accurate equations, live formulas, and expert guidance.

Minimum horizontal pillar width.

Seam or stope mining height.

Depth below ground surface.

Percent of coal/rock mined out (typically 50-75%).

Calculated Result
0.76 FOS

Pillar FOS

Pillar FOS

0.76 FOS

Pillar Factor Of Safety Fos

0.76

Ultimate Pillar Strength Mpa

10.9

Tributary Pillar Stress Mpa

14.3

Pillar Width To Height Ratio

4

0.76 — FOS

Calculation Breakdown

  1. Applied FormulaCalculates the ultimate load-bearing strength and Factor of Safety (FOS) of underground coal and rock pillars using the Salamon-Munro empirical power formula and tributary area theory.S_p = 7.18 \frac{w^{0.46}}{h^{0.66}}, \quad \sigma_p = \frac{\gamma H}{1 - e}, \quad \text{FOS} = \frac{S_p}{\sigma_p}

Mine Pillar Safety Factor Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Pillar FOS

What Is the Underground Mine Coal & Hard Rock Pillar Strength (Salamon-Munro) Calculator?

This tool computes underground mine coal & hard rock pillar strength (salamon-munro) calculator with high precision arithmetic.

How Does the Underground Mine Coal & Hard Rock Pillar Strength (Salamon-Munro) Calculator Work?

Calculates the ultimate load-bearing strength and Factor of Safety (FOS) of underground coal and rock pillars using the Salamon-Munro empirical power formula and tributary area theory.

Underground Mine Coal & Hard Rock Pillar Strength (Salamon-Munro) Calculator Formula & Variables

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

Sp=7.18w0.46h0.66,σp=γH1−e,FOS=SpσpS_p = 7.18 \frac{w^{0.46}}{h^{0.66}}, \quad \sigma_p = \frac{\gamma H}{1 - e}, \quad \text{FOS} = \frac{S_p}{\sigma_p}

Calculates the ultimate load-bearing strength and Factor of Safety (FOS) of underground coal and rock pillars using the Salamon-Munro empirical power formula and tributary area theory.

How to Use the Underground Mine Coal & Hard Rock Pillar Strength (Salamon-Munro) Calculator

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

Step-by-Step Example Calculation

Underground Mine Coal & Hard Rock Pillar Strength (Salamon-Munro) Calculator Example

Input Values:

pillarWidthMeters:12
pillarHeightMeters:3
overburdenDepthMeters:200
extractionRatioPercent:65
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required FOS.

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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