The angular deflection of a torsion hollow shaft can be expressed as
θ = 32 L T / (G π (D4- d4))
Where:
- L = length of shaft (mm, in)
- G = modulus of rigidity (Mpa, psi)
- d = shaft inside diameter (mm, in)
- D = shaft outside diameter (mm, in)
- T = twisting moment (Nmm, in lb)