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Solid circular section

Solid_circular_section
Solid circular section

Values for calculation

$T$ $\mathrm{Nm}$
$r$ $\mathrm{mm}$
$L$ $\mathrm{mm}$
$G$ $\mathrm{MPa}$

Calculation

Polar moment of inertia

$$K=\cfrac{1}{2}\cdot π\cdot r^4$$

Angle of twist

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

Torsion stress

$$τ_{max}=\cfrac{2\cdot 10^3\cdot T}{π\cdot r^3}$$