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Thickness of shells under internal pressure for Hemispherical Heads

Hemispherical_Head
Hemispherical Head

Values for calculation

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

Calculation

Minimum required thickness of head after forming

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

Requirements

$$t < 0.356\cdot L$$$$P < 0.665\cdot S\cdot E$$