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Shaft Twist Estimate

Twist radians = torque × length / (shear modulus × polar second moment).

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Torsional shaft angle calculator online

Twist radians = torque × length / (shear modulus × polar second moment). Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

How to use it

Enter 4 comma-separated numbers in this order: torque N m, shaft length metres, shear modulus pascals, polar second moment m⁴. Choose Calculate. Review the output, then copy or download it.

Calculation method

Twist radians = torque × length / (shear modulus × polar second moment).

Worked examples

Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

Reproducible worked example

Settings: No additional settings.

Input:

10, 1, 80000000000, 1e-8

With the input and settings above, the tool produces:

Output:

{
  "radians": 0.0125,
  "degrees": 0.716197243913529
}

For this input, “radians” is 0.0125; “degrees” is 0.716197243913529. These are the named fields in the example output.

Limitations and common mistakes

Ideal uniform elastic shaft model, not structural design certification.
Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.
Use a dot as the decimal separator and commas or spaces between numeric entries. The calculation uses floating-point arithmetic unless exact integers are explicitly stated.

Frequently asked questions

What format should I enter?

Enter 4 comma-separated numbers in this order: torque N m, shaft length metres, shear modulus pascals, polar second moment m⁴. The worked example shows the supported structure and actual output.

How can I approximate shaft twist online?

Enter 4 comma-separated numbers in this order: torque N m, shaft length metres, shear modulus pascals, polar second moment m⁴. Choose Calculate. Review the output, then copy or download it.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.