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Thickness of shells under internal pressure for Torispherical Heads having values $t_s/L≥ 0.002$

Torispherical_Head
Torispherical Head

Values for calculation

$E$
$P$ $\mathrm{MPa}$
$T$ $\mathrm{°C}$
$D$ $\mathrm{mm}$
$t_s$ $\mathrm{mm}$
$L$ $\mathrm{mm}$
$r$ $\mathrm{mm}$
$S$ $\mathrm{MPa}$

Calculation

Factor $ M $

$$M=\cfrac{1}{4}\cdot\left(3+\sqrt{\cfrac{L}{r}}\right)$$

Minimum required thickness of head after forming

$$t=\cfrac{P\cdot L\cdot M}{2\cdot S\cdot E-0.2\cdot P}$$$$t_s \geq t$$

Requirements

$$t_s/L \geq 0.002$$$$L \le D+2\cdot t_s$$$$r \geq 0.06\cdot\left(D+2\cdot t_s\right)$$$$r > 3\cdot t_s$$