`theta = (L*T)/(J*G)`

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Torsional Deflection of Shaft

The angular deflection of a torsion shaft can be expressed as

          θ = L T / (J G)        

where

• θ = angular shaft deflection (radians)
• L = length of shaft (mm, in)
• G = modulus of rigidity (Mpa, psi)
• T = twisting moment (Nmm, in lb)
• J = Polar Moment of Inertia of an Area (mm⁴, in⁴)