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THE FEUTEX TOOLKIT

Shaft Combined Bending and Torsion

Combine bending normal stress and torsional shear in a solid shaft.

Mechanical workspace● Runs in your browser
01 Your input
02 Your result
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Formulaσb=32M/(πd³), τ=16T/(πd³); σVM=√(σb²+3τ²).
Sources and model references

Worked example

Inputs

Shaft diameter
0.04 m
Bending moment
100 N·m
Torque
50 N·m

Expected results

Bending surface stress
15915494.31 Pa
Torsional shear stress
3978873.577 Pa
Von Mises combined stress
17343507.83 Pa

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

How to use this tool

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

Try this example

{
  "diameter": 0.04,
  "moment": 100,
  "torque": 50
}

Accuracy and scope

Solid round shaft; nominal elastic stress without fatigue or stress concentration corrections. 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.