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Any solid fairly compact section without reentrant angles

Any solid, fairly compact section without reentrant angles
Any solid, fairly compact section without reentrant angles

Values for calculation

$ T $ $ \mathrm{Nm} $
$ A $ $ \mathrm{mm^2} $
$ J $ $ \mathrm{mm^4} $
$ D $ $ \mathrm{mm} $
$ r $ $ \mathrm{mm} $
$ L $ $ \mathrm{mm} $
$ G $ $ \mathrm{MPa} $

Calculation

Coefficient $ C $

$$C=\cfrac{D}{1+\cfrac{π^2\cdot D^4}{16\cdot A^2}}\cdot\left[1+0.15\cdot \left(\cfrac{π^2\cdot D^4}{16\cdot A^2}-\cfrac{D}{2\cdot r}\right)\right]$$

Polar moment of inertia

$$K=\cfrac{A^4}{40\cdot J}$$

Angle of twist

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

Torsion stress

$$τ_{max}=\cfrac{10^3\cdot T}{K}\cdot C$$