Shaft Inputs

Fixed–free · τ = Tc/J · φ = TL/GJ

Applied Torque

T (N·m) — positive = ↺ CCW

= 0.800 kN·m · ↺ CCW

Design Check (optional)

τ_allow (MPa) — leave blank to skip

Shaft Segments

Segments go left-to-right from the fixed end to the free end. All carry the same torque T.

Segment A

Material

G — shear modulus (Pa)

L (m)

D_o (m)

D_i (m)

J = 6.136e-7 m⁴ · c = 25.0 mm

GJ = 49087 N·m² · D_o = 50.0 mm

Segment B

Material

G — shear modulus (Pa)

L (m)

D_o (m)

D_i (m)

J = 2.513e-7 m⁴ · c = 20.0 mm

GJ = 20106 N·m² · D_o = 40.0 mm

Shaft Torsion Calculator

Closed-form Prandtl equations —τ = Tc/J & φ = TL/GJ· solid & hollow circular sections · stepped shafts

Seg 1

Seg 2

Total length: 1.000 m

Total twist φ

28.043 mrad

Max shear stress τ_max

63.662 MPa

Segment	x (m)	τ (MPa)	φ (mrad)	φ_cum (mrad)
seg-a	0.000 – 0.500	32.595	8.149	8.149
seg-b	0.500 – 1.000	63.662 (max)	19.894	28.043