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Room-and-Pillar Extraction Ratio & Pillar Stress Calculator

Easily calculate and compute room-and-pillar extraction ratio & pillar stress calculator with accurate equations, live formulas, and expert guidance.

Cross-sectional width of intact supporting rock pillar.

Span of mined extraction roadway opening.

Depth of cover.

Average rock unit weight (typically ~25 kN/m³).

Calculated Result
24.5 MPa

Tributary Pillar Vertical Stress σ_p

Tributary Pillar Vertical Stress σ_p

24.5 MPa

Pillar Stress Mpa

24.500000000000007

Extraction Ratio Pct

67.34693877551021

Virgin Vertical Stress Mpa

8

Stress Concentration Factor

3.062500000000001

24.5 — MPa

Calculation Breakdown

  1. Applied FormulaCalculates aerial extraction ratio and tributary area compressive loading stress on supporting rock pillars in underground coal, salt, and stone mines.\sigma_p = \frac{\gamma H}{1 - R}

Room & Pillar Extraction Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.06.1121825Tributary Pillar Vertical Stress σ_p

What Is the Room-and-Pillar Extraction Ratio & Pillar Stress Calculator?

This tool computes room-and-pillar extraction ratio & pillar stress calculator with high precision arithmetic.

How Does the Room-and-Pillar Extraction Ratio & Pillar Stress Calculator Work?

Calculates aerial extraction ratio and tributary area compressive loading stress on supporting rock pillars in underground coal, salt, and stone mines.

Room-and-Pillar Extraction Ratio & Pillar Stress Calculator Formula & Variables

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

σp=γH1−R\sigma_p = \frac{\gamma H}{1 - R}

Calculates aerial extraction ratio and tributary area compressive loading stress on supporting rock pillars in underground coal, salt, and stone mines.

How to Use the Room-and-Pillar Extraction Ratio & Pillar Stress Calculator

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

Step-by-Step Example Calculation

Room-and-Pillar Extraction Ratio & Pillar Stress Calculator Example

Input Values:

pillarWidthM:8
roomOpeningWidthM:6
miningDepthM:320
overburdenUnitWeightKnM3:25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required MPa.

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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