# Hollow elliptical section outer and inner boundaries similar ellipses

## Values for calculation

## Calculation

### Coefficient $ q $

### Dimension $ b_0 $

### Polar moment of inertia

### Angle of twist

### Torsion stress

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$$q=\cfrac{a_0}{a}$$

$$b_0=\cfrac{a_0\cdot b}{a}$$

$$K=\cfrac{π\cdot a^3\cdot b^3}{a^2+b^2}\cdot\left(1-q^4\right)$$

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

$$τ_{max}=\cfrac{2\cdot{10}^3\cdot T}{π\cdot a\cdot b^2\cdot\left(1-q^4\right)}$$