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Any thin tube of uniform thickness

Any thin tube of uniform thickness t
Any thin tube of uniform thickness

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^2} $
$ \{U\in\mathbb{R}\mid U>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.
$ U $ $ \mathrm{mm} $
$ \{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{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

$$K=\cfrac{4\cdot A^2\cdot t}{U}$$
$K=\cfrac{4\cdot A^2\cdot t}{U}$
Equations in LaTeX code
K=\cfrac{4\cdot A^2\cdot t}{U}

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 (average)

$$τ_{average}=\cfrac{10^3\cdot T}{2\cdot t\cdot A}$$
$τ_{average}=\cfrac{10^3\cdot T}{2\cdot t\cdot A}$
Equations in LaTeX code
τ_{average}=\cfrac{10^3\cdot T}{2\cdot t\cdot A}
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