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Hollow this-walled section of uniform thickness

Hollow, this-walled section of uniform thickness 2a 2b t
Hollow, this-walled section of uniform thickness

Values for calculation

$ T $ $ \mathrm{Nm} $
$ a $ $ \mathrm{mm} $
$ b $ $ \mathrm{mm} $
$ t $ $ \mathrm{mm} $
$ L $ $ \mathrm{mm} $
$ G $ $ \mathrm{MPa} $

Calculation

Length of median boundary

$$U=π\cdot\left(a+b-t\right)\cdot\left[1+0.258\cdot\cfrac{\left(a-b\right)^2}{\left(a+b-t\right)^2}\right]$$

Polar moment of inertia

$$K=\cfrac{4\cdot π^2\cdot t\cdot\left[\left(a-\cfrac{1}{2}\cdot t\right)^2\cdot\left(b-\cfrac{1}{2}\cdot t\right)^2\right]}{U}$$

Angle of twist

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

Torsion stress (average)

$$τ_{average}=\cfrac{10^3\cdot T}{2\cdot π\cdot t\cdot\left(a-\cfrac{1}{2}\cdot t\right)\cdot\left(b-\cfrac{1}{2}\cdot t\right)}$$