# Hollow rectangle thin-walled

## Values for calculation

## Calculation

### Polar moment of inertia

### Angle of twist

### Torsion stress (average) dimension $ a $

### Torsion stress (average) dimension $ b $

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$$K=\cfrac{2\cdot t\cdot t_1\cdot\left(a-t\right)^2\cdot\left(b-t_1\right)^2}{a\cdot t+b\cdot t_1-t^2-t_1^2}$$

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

$$τ_{average-a}=\cfrac{10^3\cdot T}{2\cdot t\cdot\left(a-t\right)\cdot\left(b-t_1\right)}$$

$$τ_{average-b}=\cfrac{10^3\cdot T}{2\cdot t_1\cdot\left(a-t\right)\cdot\left(b-t_1\right)}$$