JUJUMI工程计算器 · Engineering Calculators

Torsion Shaft Diameter

Determine minimum shaft diameter under torsion for solid or hollow shafts from allowable shear stress.

Inputs

Formula

Solid d = ∛(16T/(π[τ])); Hollow dₒ = ∛(16T/(π(1−k⁴)[τ]))
Tτ = T·r / J (J = π d⁴ / 32)
Torsion Shaft Diameter schematic

How to use

  1. Fill in Torque T, Allow. shear [τ], Hollow ratio k (0=solid) in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Solid dia., Hollow outer (k>0) in the results area.
Formula notesTorsional shear τ = T·r / J; solid J = π d⁴/32, d = ∛(16T/(π·τ)); hollow J = π d⁴(1−k⁴)/32.