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Solid triangular section (equilaterial)

Solid triangular section a
Solid triangular section (equilaterial)

Values for calculation

$ \{T\in\mathbb{R}\mid T>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ T $ $ \mathrm{Nm} $
$ \{a\in\mathbb{R}\mid a>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ a $ $ \mathrm{mm} $
$ \{L\in\mathbb{R}\mid L>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ L $ $ \mathrm{mm} $
$ \{G\in\mathbb{R}\mid G>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ 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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