Shaft Diameter Calculator

Calculate the minimum required shaft diameter or maximum allowable torque based on material properties and loading conditions.

Shaft Diagram
Stress Distribution
Diameter vs Torque
Calculation Results
Minimum Shaft Diameter

0 mm

Material: Custom
Applied Torque 1000 N·m
Safety Factor 2.0
Loading Factor 1.0
Allowable Shear Stress 42 MPa
Calculated Shear Stress 0 MPa
Margin of Safety 0%
Formula Breakdown

Select calculation mode and input values to see the formula.

Key Formulas:
  • Solid Shaft Diameter:
    d = [(16·T·K·N)/(π·τ)]1/3
  • Hollow Shaft Diameter:
    d = [(16·T·K·N)/(π·τ·(1 - (di/d)4))]1/3
  • Shear Stress:
    τ = (16·T·K·N)/(π·d3) for solid
Variables:
  • T = Applied Torque
  • τ = Allowable Shear Stress
  • N = Safety Factor
  • K = Loading Factor
  • d = Shaft Diameter
  • di = Inner Diameter (hollow)