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Nuts

Values for calculation

$d_n$ $\mathrm{mm}$
$T$ $\mathrm{°C}$
$T_{test}$ $\mathrm{°C}$
$T_{assembly}$ $\mathrm{°C}$
$R_{p0.2/bolt/T}$ $\mathrm{MPa}$
$R_{p0.2/bolt/T_{test}}$ $\mathrm{MPa}$
$R_{p0.2/bolt/T_{assembly}}$ $\mathrm{MPa}$
$R_{p0.2/nut/T}$ $\mathrm{MPa}$
$R_{p0.2/nut/T_{test}}$ $\mathrm{MPa}$
$R_{p0.2/nut/T_{assembly}}$ $\mathrm{MPa}$

Calculation

Length nut

$$l_n=0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p0.2/nut/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p0.2/nut/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p0.2/nut/T_{assembly}}}\right)$$
$l_n=0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p0.2/nut/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p0.2/nut/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p0.2/nut/T_{assembly}}}\right)$
Equations in LaTeX code
l_n=0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p0.2/nut/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p0.2/nut/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p0.2/nut/T_{assembly}}}\right)
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