JUJUMI工程计算器 · Engineering Calculators

Shaft Torsion Analysis

Analyse torsional shear stress and twist angle of solid/hollow shafts under torque, including stress from angle.

Inputs

Formula

J = πd⁴/32 (solid); τ = T(D/2)/J; θ = TL/(GJ)
最大切应力在表面: τ_max = T·r / J
Shaft Torsion Analysis schematic

How to use

  1. Fill in Torque T, Dia. d (solid), Inner dia. di (hollow), Shear mod. G, Shaft length L in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Polar inertia J, Max shear τ, Twist angle θ in the results area.
Formula notesTorsional shear in a shaft varies linearly with radius; max at surface τ_max = T·r/J, zero at center.