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Length $L_e$ for Conical Sections sketch (c) for external pressure

Conical Sections sketch (c) D s D Ls L c α D L r 1
Conical Sections sketch (c)

Values for calculation

$ \{L_c\in\mathbb{R}\mid L_c>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_c $ $ \mathrm{mm} $
$ \{D_L\in\mathbb{R}\mid D_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.
$ D_L $ $ \mathrm{mm} $
$ \{D_s\in\mathbb{R}\mid D_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.
$ D_s $ $ \mathrm{mm} $
$ \{D_{Ls}\in\mathbb{R}\mid D_{Ls}>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.
$ D_{Ls} $ $ \mathrm{mm} $
$ \{r_1\in\mathbb{R}\mid r_1>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.
$ r_1 $ $ \mathrm{mm} $
$ \{α\in\mathbb{R}\mid α>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.
$ α $ $ \mathrm{°} $

Calculation

Equivalent length of conical head or Section between lines of support

$$L_e=r_1\cdot\sin{α}+\cfrac{L_c}{2}\cdot\left(\cfrac{D_L+D_s}{D_{Ls}}\right)$$
$L_e=r_1\cdot\sin{α}+\cfrac{L_c}{2}\cdot\left(\cfrac{D_L+D_s}{D_{Ls}}\right)$
Equations in LaTeX code
L_e=r_1\cdot\sin{α}+\cfrac{L_c}{2}\cdot\left(\cfrac{D_L+D_s}{D_{Ls}}\right)
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