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Isosceles triangle

Isosceles_triangle
Isosceles triangle

Values for calculation

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

Calculation

Polar moment of inertia

if $\cfrac{2}{3} < a/b < \sqrt3$ and $39°<α<82°$$$K=\cfrac{a^3\cdot b^3}{15\cdot a^2+20\cdot b^2}$$if $\sqrt3 < a/b < 2\sqrt3$ and $82°<α<120°$$$K=0.0915\cdot b^4\cdot\left(\cfrac{a}{b}-0.8592\right)$$

Angle of twist

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

Torsion stress

$$τ_{max}=\cfrac{T\cdot{10}^3\cdot b\cdot\left[0.2+0.309\cdot a/b-0.0418\cdot\left(a/b\right)^2\right]}{K}$$

Requirements

$$\cfrac{2}{3} < a/b < 2\sqrt3$$$$39° < α < 120°$$