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Assembly using a torque wrench

Values for calculation

$F_{A-bolt-min}$ $\mathrm{N}$
$P$ $\mathrm{mm}$
$d$ $\mathrm{mm}$
$d_2$ $\mathrm{mm}$
$μ_{thread}$
$d_{nut-or-bolt-head}$ $\mathrm{mm}$
$μ_{nut-or-bolt-head}$

Calculation

Scatter value

$\text{if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{A}$
$\text{if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{A}$
Equations in LaTeX code
\text{if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{A}
$$ε=0.3+0.5\cdot μ_{thread}$$
$ε=0.3+0.5\cdot μ_{thread}$
Equations in LaTeX code
ε=0.3+0.5\cdot μ_{thread}
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{B}$
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{B}$
Equations in LaTeX code
\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{B}
$$ε=0.2+0.5\cdot μ_{thread}$$
$ε=0.2+0.5\cdot μ_{thread}$
Equations in LaTeX code
ε=0.2+0.5\cdot μ_{thread}
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{C}$
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{C}$
Equations in LaTeX code
\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{C}
$$ε=0.1+0.5\cdot μ_{thread}$$
$ε=0.1+0.5\cdot μ_{thread}$
Equations in LaTeX code
ε=0.1+0.5\cdot μ_{thread}
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{D}$
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{D}$
Equations in LaTeX code
\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{D}
$$ε=0.15$$
$ε=0.15$
Equations in LaTeX code
ε=0.15
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{E}$
$\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{E}$
Equations in LaTeX code
\text{else if }\ \text{bolting-up }$$\text{method, }$$\text{measuring }$$\text{method}= \text{E}
$$ε=0.1$$
$ε=0.1$
Equations in LaTeX code
ε=0.1
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$ε=0.07$$
$ε=0.07$
Equations in LaTeX code
ε=0.07

Nominal axial force in the bolt

$$F_{A-bolt-nom}=\cfrac{F_{A-bolt-min}}{1-ε}$$
$F_{A-bolt-nom}=\cfrac{F_{A-bolt-min}}{1-ε}$
Equations in LaTeX code
F_{A-bolt-nom}=\cfrac{F_{A-bolt-min}}{1-ε}

Maximum axial force in the bolt

$$F_{A-bolt-max}=F_{A-bolt-nom}\cdot\left(1+ε\right)$$
$F_{A-bolt-max}=F_{A-bolt-nom}\cdot\left(1+ε\right)$
Equations in LaTeX code
F_{A-bolt-max}=F_{A-bolt-nom}\cdot\left(1+ε\right)

Bolt tightening torque

$$M_{bolt}=\left(\cfrac{P}{2\cdot π}+μ_{thread}\cdot\cfrac{d_2}{2\cdot\cos{30°}}+μ_{nut-or-bolt-head}\cdot\cfrac{d_{nut-or-bolt-head}}{2}\right)\cdot\cfrac{F_{A-bolt-nom}}{1000}$$
$M_{bolt}=\left(\cfrac{P}{2\cdot π}+μ_{thread}\cdot\cfrac{d_2}{2\cdot\cos{30°}}+μ_{nut-or-bolt-head}\cdot\cfrac{d_{nut-or-bolt-head}}{2}\right)\cdot\cfrac{F_{A-bolt-nom}}{1000}$
Equations in LaTeX code
M_{bolt}=\left(\cfrac{P}{2\cdot π}+μ_{thread}\cdot\cfrac{d_2}{2\cdot\cos{30°}}+μ_{nut-or-bolt-head}\cdot\cfrac{d_{nut-or-bolt-head}}{2}\right)\cdot\cfrac{F_{A-bolt-nom}}{1000}
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