engineering

Shaft Design Calculator

Design solid and hollow shafts under combined bending and torsion using ASME distortion energy criteria

Shaft Design Calculator

Design solid or hollow shafts under combined bending and torsion using the ASME distortion energy criterion.

Formula (ASME)

d³ = (16/π·τ_allow) · √(M² + T²)  (solid)
d_o³ = (16/π·τ_allow) · √(M²+T²) / (1−c⁴)  (hollow, c=d_i/d_o)
τ_allow ≈ 0.4·S_y (ASME) or 0.3·S_ut

Typically 0.3–0.4 × S_y

Minimum Required Diameter

Solid Shaft d_min

36.35 mm

Stress Check at d = 50.0 mm

Shear Stress τ_actual

32.59 MPa

Von Mises σ_VM

69.62 MPa

Factor of Safety (τ)

3.068

Combined Load

√(M²+T²) = √(500²+800²) = 943.40 N·m

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Shaft Design Calculator. Most fields include unit selectors so you can work in your preferred unit system.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors.

3

Read the results

The Shaft Design Calculator instantly computes the output and displays results with units. All calculations happen in your browser — no loading time and no data sent to a server.

Formula Reference

Shaft Design Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above.

When to Use This Calculator

  • •Use the Shaft Design Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
  • •Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
  • •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
  • •Use it to generate reference data for a technical report or presentation without manual computation.

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