THE FEUTEX TOOLKIT

Lamé Thick Cylinder Stress

Evaluate radial and hoop stress through a thick cylinder wall.

Materials workspace● Runs in your browser

01 Your input

Inner radiusmOuter radiusmEvaluation radiusmInternal pressurePaExternal pressurePa

02 Your result

View or copy raw result data

Result data

Formulaσr=A−B/r²; σθ=A+B/r² with pressure boundary conditions.

Sources and model references

https://ocw.mit.edu/courses/1-050-solid-mechanics-fall-2004/resources/emech7_04/

Worked example

Inputs

Inner radius: 0.05 m
Outer radius: 0.1 m
Evaluation radius: 0.05 m
Internal pressure: 10000000 Pa
External pressure: 0 Pa

Expected results

Radial stress: -10000000 Pa
Hoop stress: 16666666.67 Pa

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

Enter every input in the labeled units; use measured or independently specified properties.
Check the stated model assumptions before calculating.
Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "inner": 0.05,
  "outer": 0.1,
  "r": 0.05,
  "pi": 10000000,
  "po": 0
}

Accuracy and scope

Axisymmetric homogeneous linear elastic cylinder away from ends; no thermal gradient or residual stress. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.