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Maximal (critical) force

Values for calculation

$ \{S_{y}\in\mathbb{R}\mid S_{y}>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.
$ S_{y} $ $ \mathrm{MPa} $
$ \{S\in\mathbb{R}\mid S>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.
$ S $ $ \mathrm{mm^2} $
$ \{η\in\mathbb{R}\mid η>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.
$ η $
$ \{λ\in\mathbb{R}\mid λ>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.
$ λ $
$ \{E\in\mathbb{R}\mid E>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.
$ E $ $ \mathrm{MPa} $
$ \{F\in\mathbb{R}\mid F>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.
$ F $ $ \mathrm{N} $
$ \{S_F\in\mathbb{R}\mid S_F>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.
$ S_F $
$ C_c $

Calculation

Maximal (critical) force

$\text{if }\ λ>0.282\cdot\sqrt{\cfrac{E\cdot S}{F}}$
$\text{if }\ λ>0.282\cdot\sqrt{\cfrac{E\cdot S}{F}}$
Equations in LaTeX code
\text{if }\ λ>0.282\cdot\sqrt{\cfrac{E\cdot S}{F}}
$$F_{max}=S_{y}\cdot S/ \left[1+η\cdot\sec\left(\cfrac{λ}{2}\cdot\sqrt{\cfrac{\left|F_{max}\right|}{E\cdot S}}\right)\right]$$
$F_{max}=S_{y}\cdot S/ \left[1+η\cdot\sec\left(\cfrac{λ}{2}\cdot\sqrt{\cfrac{\left|F_{max}\right|}{E\cdot S}}\right)\right]$
Equations in LaTeX code
F_{max}=S_{y}\cdot S/ \left[1+η\cdot\sec\left(\cfrac{λ}{2}\cdot\sqrt{\cfrac{\left|F_{max}\right|}{E\cdot S}}\right)\right]
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$F_{max}=S_{y}\cdot S/ \left[1+η\right]$$
$F_{max}=S_{y}\cdot S/ \left[1+η\right]$
Equations in LaTeX code
F_{max}=S_{y}\cdot S/ \left[1+η\right]
$$\cfrac{F_{max}}{S_F}\cdot C_c\geq F$$
$\cfrac{F_{max}}{S_F}\cdot C_c\geq F$
Equations in LaTeX code
\cfrac{F_{max}}{S_F}\cdot C_c\geq F
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