What this calculator does
Performs preliminary internal-pressure thickness calculations for cylindrical shells, spherical shells / hemispherical heads, and 2:1 ellipsoidal heads using common ASME Section VIII Division 1 equation forms.
Inputs
Results
Cylinder, circumferential: t = PR/(SE − 0.6P)
Cylinder, longitudinal: t = PR/(2SE + 0.4P)
Sphere / hemisphere: t = PR/(2SE − 0.2P)
2:1 ellipsoidal head: t = PD/(2SE − 0.2P)
R and D are inside dimensions after corrosion allowance is considered by the design method. This educational implementation adds the entered allowances after pressure thickness and divides by (1 − mill tolerance).
What the calculation estimates
The page estimates minimum pressure-retaining membrane thickness for a cylindrical shell, spherical/hemispherical shell or 2:1 ellipsoidal head under internal pressure.
Why it is only preliminary
Pressure membrane stress is only one part of vessel design. Openings, nozzles, external loads, wind, seismic loads, vacuum, local stresses, fatigue, brittle fracture, supports, forming and fabrication tolerances can govern the final design.
How the inputs are used
Design pressure P, inside diameter or radius, allowable stress S and weld-joint efficiency E enter the pressure formula. Use the corroded inside geometry on which pressure acts and the allowable stress at design temperature from the adopted code edition.
Allowances and mill tolerance
Pressure thickness is calculated first. Corrosion and other explicit allowances are added, then nominal ordered thickness is increased for negative mill tolerance. This sequence prevents the manufacturing tolerance from consuming required allowances.
Understanding the equation limits
The formulas have denominator and geometry limits defined by the applicable code rules. The page flags a large t/R ratio as a warning because thin-shell membrane assumptions become less appropriate.
Required engineering checks
A complete code design must verify material specification, temperature limits, joint category, examination, head geometry, forming thinning, reinforcement, load combinations, test pressure and all jurisdictional requirements.