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Threaded holes

Values for calculation

$d_n$ $\mathrm{mm}$
$T$ $\mathrm{°C}$
$T_{test}$ $\mathrm{°C}$
$T_{assembly}$ $\mathrm{°C}$
$R_{p0.2/T}$ $\mathrm{MPa}$
$R_{p0.2/T_{test}}$ $\mathrm{MPa}$
$R_{p0.2/T_{assembly}}$ $\mathrm{MPa}$
$R_{p1.0/T}$ $\mathrm{MPa}$
$R_{p1.0/T_{test}}$ $\mathrm{MPa}$
$R_{p1.0/T_{assembly}}$ $\mathrm{MPa}$
$R_{p0.2/bolt/T}$ $\mathrm{MPa}$
$R_{p0.2/bolt/T_{test}}$ $\mathrm{MPa}$
$R_{p0.2/bolt/T_{assembly}}$ $\mathrm{MPa}$

Calculation

Length of bolts in threaded holes

$\text{if }\ \text{type }$$\text{of }$$\text{material}= \text{Austenitic steels}$
$\text{if }\ \text{type }$$\text{of }$$\text{material}= \text{Austenitic steels}$
Equations in LaTeX code
\text{if }\ \text{type }$$\text{of }$$\text{material}= \text{Austenitic steels}
$$l_b=\max\left(0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p1.0/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p1.0/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p1.0/T_{assembly}}}\right), 0.8\cdot d_n\right)$$
$l_b=\max\left(0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p1.0/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p1.0/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p1.0/T_{assembly}}}\right), 0.8\cdot d_n\right)$
Equations in LaTeX code
l_b=\max\left(0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p1.0/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p1.0/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p1.0/T_{assembly}}}\right), 0.8\cdot d_n\right)
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$l_b=\max\left(0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p0.2/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p0.2/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p0.2/T_{assembly}}}\right), 0.8\cdot d_n\right)$$
$l_b=\max\left(0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p0.2/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p0.2/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p0.2/T_{assembly}}}\right), 0.8\cdot d_n\right)$
Equations in LaTeX code
l_b=\max\left(0.8\cdot d_n\cdot\max\left(\cfrac{R_{p0.2/bolt/T}}{R_{p0.2/T}}, \cfrac{R_{p0.2/bolt/T_{test}}}{R_{p0.2/T_{test}}}, \cfrac{R_{p0.2/bolt/T_{assembly}}}{R_{p0.2/T_{assembly}}}\right), 0.8\cdot d_n\right)
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