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Underground Shaft Sinking Hoop Stress & Lining Thickness Calculator

Easily calculate and compute underground shaft sinking hoop stress & lining thickness calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
371 mm

Required Concrete Lining Thickness (t_req)

Required Concrete Lining Thickness (t_req)

371 mm

Required Thickness Meters

0.371

Average Hoop Compressive Stress Mpa

27.8

Concrete Utilization Ratio Pct

92.5

371 — mm

Calculation Breakdown

  1. Applied FormulaApplies thick-walled cylinder Lamé equations to determine reinforced concrete lining thickness and circumferential hoop compression stresses for deep mine and ventilation shafts.t = R \left[ 1 - \sqrt{\frac{f_{cd} - 2 p_{\text{hydro}}}{f_{cd}}} \right], \quad \sigma_{\theta} = \frac{p R}{t}

Shaft Sinking Lining Thickness Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.093186278371Required Concrete Lining Thickness (t_req)

What Is the Underground Shaft Sinking Hoop Stress & Lining Thickness Calculator?

This tool computes underground shaft sinking hoop stress & lining thickness calculator with high precision arithmetic.

How Does the Underground Shaft Sinking Hoop Stress & Lining Thickness Calculator Work?

Applies thick-walled cylinder Lamé equations to determine reinforced concrete lining thickness and circumferential hoop compression stresses for deep mine and ventilation shafts.

Underground Shaft Sinking Hoop Stress & Lining Thickness Calculator Formula & Variables

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

t=R[1−fcd−2phydrofcd],σθ=pRtt = R \left[ 1 - \sqrt{\frac{f_{cd} - 2 p_{\text{hydro}}}{f_{cd}}} \right], \quad \sigma_{\theta} = \frac{p R}{t}

Applies thick-walled cylinder Lamé equations to determine reinforced concrete lining thickness and circumferential hoop compression stresses for deep mine and ventilation shafts.

How to Use the Underground Shaft Sinking Hoop Stress & Lining Thickness Calculator

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

Step-by-Step Example Calculation

Underground Shaft Sinking Hoop Stress & Lining Thickness Calculator Example

Input Values:

shaftInternalRadiusMeters:4.5
externalHydrostaticPressureBar:22
concreteCompressiveStrengthMpa:30
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

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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