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Thick-Walled Cylinder Lamé Hoop & Radial Stress Calculator

Easily calculate and compute thick-walled cylinder lamé hoop & radial stress calculator with accurate equations, live formulas, and expert guidance.

Internal radius.

External radius.

Fluid pressure at bore.

External ambient/jacket pressure.

Calculated Result
132.5 MPa

Max Bore Hoop Stress

Max Bore Hoop Stress

132.5 MPa

Max Hoop Stress Mpa

132.5

Min Hoop Stress Mpa

62.5

Von Mises Bore Mpa

175.37014426634883

Radius Ratio

1.8

132.5 — MPa

Calculation Breakdown

  1. Applied FormulaEvaluates classical Lamé stress equations across thick cylinders (t > 0.1 R) where thin-wall membrane assumptions break down.\sigma_\theta(r) = \frac{P_i r_i^2 - P_o r_o^2}{r_o^2 - r_i^2} + \frac{(P_i - P_o) r_i^2 r_o^2}{r^2 (r_o^2 - r_i^2)}

Lamé Stress Distribution Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0336699133Max Bore Hoop Stress

What Is the Thick-Walled Cylinder Lamé Hoop & Radial Stress Calculator?

This tool computes thick-walled cylinder lamé hoop & radial stress calculator with high precision arithmetic.

How Does the Thick-Walled Cylinder Lamé Hoop & Radial Stress Calculator Work?

Evaluates classical Lamé stress equations across thick cylinders (t > 0.1 R) where thin-wall membrane assumptions break down.

Thick-Walled Cylinder Lamé Hoop & Radial Stress Calculator Formula & Variables

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

σθ(r)=Piri2−Poro2ro2−ri2+(Pi−Po)ri2ro2r2(ro2−ri2)\sigma_\theta(r) = \frac{P_i r_i^2 - P_o r_o^2}{r_o^2 - r_i^2} + \frac{(P_i - P_o) r_i^2 r_o^2}{r^2 (r_o^2 - r_i^2)}

Evaluates classical Lamé stress equations across thick cylinders (t > 0.1 R) where thin-wall membrane assumptions break down.

How to Use the Thick-Walled Cylinder Lamé Hoop & Radial Stress Calculator

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

Step-by-Step Example Calculation

Thick-Walled Cylinder Lamé Hoop & Radial Stress Calculator Example

Input Values:

innerRadiusMm:50
outerRadiusMm:90
internalPressureMpa:70
externalPressureMpa:0
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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