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Mining Stope Hydraulic Radius & Mathews Stability Number Calculator

Easily calculate and compute mining stope hydraulic radius & mathews stability number calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
7.69 m

Hydraulic Radius (HR)

Hydraulic Radius (HR)

7.69 m

Hydraulic Radius Meters

7.6923076923076925

Mathews Stability Number N

13.600000000000001

Max Stable Hydraulic Radius M

4.2609537713289

Stope Stability Status

POTENTIALLY UNSTABLE (Cablebolting Required)

7.69 — m

Calculation Breakdown

  1. Applied FormulaComputes open stope wall hydraulic radius (HR) and Mathews-Potvin modified stability number N for underground open stoping dilution and unsupported span design.\text{HR} = \frac{\text{Area}}{\text{Perimeter}} = \frac{W \cdot L}{2(W + L)}, \quad N = Q' \cdot A \cdot B \cdot C

Stope Hydraulic Radius & Mathews Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.93.85.87.7Hydraulic Radius (HR)

What Is the Mining Stope Hydraulic Radius & Mathews Stability Number Calculator?

The Mining Stope Hydraulic Radius & Mathews Stability Number Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the Mining Stope Hydraulic Radius & Mathews Stability Number Calculator Work?

Computes open stope wall hydraulic radius (HR) and Mathews-Potvin modified stability number N for underground open stoping dilution and unsupported span design.

Mining Stope Hydraulic Radius & Mathews Stability Number Calculator Formula & Variables

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

HR=AreaPerimeter=W⋅L2(W+L),N=Q′⋅A⋅B⋅C\text{HR} = \frac{\text{Area}}{\text{Perimeter}} = \frac{W \cdot L}{2(W + L)}, \quad N = Q' \cdot A \cdot B \cdot C

Computes open stope wall hydraulic radius (HR) and Mathews-Potvin modified stability number N for underground open stoping dilution and unsupported span design.

How to Use the Mining Stope Hydraulic Radius & Mathews Stability Number Calculator

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

Step-by-Step Example Calculation

Mining Stope Hydraulic Radius & Mathews Stability Number Calculator Example

Input Values:

stopeWallWidthM:25
stopeWallLengthM:40
modifiedQPrime:8.5
rockStressFactorA:0.8
jointOrientationFactorB:0.5
gravityAdjustmentFactorC:4
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m.

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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