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Solid triangular section (equilaterial)

Solid triangular section a
Solid triangular section (equilaterial)

Values for calculation

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

Calculation

Polar moment of inertia

$$K=\cfrac{a^4\cdot\sqrt3}{80}$$
$K=\cfrac{a^4\cdot\sqrt3}{80}$
Equations in LaTeX code
K=\cfrac{a^4\cdot\sqrt3}{80}

Angle of twist

$$θ=\cfrac{T\cdot 10^3\cdot L}{K\cdot G}$$
$θ=\cfrac{T\cdot 10^3\cdot L}{K\cdot G}$
Equations in LaTeX code
θ=\cfrac{T\cdot 10^3\cdot L}{K\cdot G}

Torsion stress

$$τ_{max}=\cfrac{20\cdot{10}^3\cdot T}{a^3}$$
$τ_{max}=\cfrac{20\cdot{10}^3\cdot T}{a^3}$
Equations in LaTeX code
τ_{max}=\cfrac{20\cdot{10}^3\cdot T}{a^3}
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