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Hollow concentric circular section

Hollow concentric circular section r o r i
Hollow concentric circular section

Values for calculation

$ T $ $ \mathrm{Nm} $
$ r_o $ $ \mathrm{mm} $
$ r_i $ $ \mathrm{mm} $
$ L $ $ \mathrm{mm} $
$ G $ $ \mathrm{MPa} $

Calculation

Polar moment of inertia

$$K=\cfrac{1}{2}\cdot π\cdot\left(r_o^4-r_i^4\right)$$

Angle of twist

$$θ=\cfrac{T\cdot 10^3\cdot L}{K\cdot G}$$

Torsion stress

$$τ_{max}=\cfrac{2\cdot{10}^3\cdot T\cdot r_o}{π\cdot\left(r_o^4-r_i^4\right)}$$