PVFCalculator

Pressure Vessel Thickness Calculator (ASME VIII Div.1)

Design wall thickness for cylindrical shells (UG-27, both seam directions) and formed heads — 2:1 ellipsoidal, torispherical (F&D) and hemispherical (UG-32). Allowable stress is auto-looked-up from ASME II-D tables at your design temperature, with weld joint efficiency (UW-12), corrosion allowance, standard plate rounding and MAWP back-calculation. This is the deepest ASME tooling on the site — the same equations a pressure-vessel designer runs before a U-stamp job goes to an ASME shop.

UG-27 — checked in both seam directions

Required Thickness (incl. CA)

mm

Design t (formula)
+ Corrosion allowance
Nominal plate (std series)
MAWP @ design T
Allowable stress S (looked-up)
UG-16(b) min after forming

Seam-by-Seam Detail

UW-12 joint efficiency basis

E applies to the welded seam being checked: the UG-27 circumferential-stress (longitudinal seam) formula uses the Category A seam efficiency; the axial-stress formula uses the Category B (circumferential) seam. RT-1 full radiography = 1.00, RT-2 spot = 0.85, none = 0.70 (UW-12 Type 1 butt joints).

Geometry & Data Source

Allowable stress source

S is linearly interpolated from publicly republished ASME BPVC II-D Table 1A values at 100–650°F (see the table below). Verify against your edition of II-D before design use.

ASME II-D Allowable Stress Table (S, public republished values)

Material100°F
≈ 38°C
200°F
≈ 93°C
300°F
≈ 149°C
400°F
≈ 204°C
500°F
≈ 260°C
600°F
≈ 316°C
650°F
≈ 343°C
SA-516 Gr.70Plate · carbon steel138138138138138133127
SA-285 Gr.CPlate · carbon steel10810810810810610298
SA-106 Gr.BPipe · seamless carbon steel1181181161121069792
SA-240 Type 304Plate · austenitic SS138136131125119114111
SA-240 Type 316LPlate · austenitic SS138137134128121115111
SA-387 Gr.11 Cl.2Plate · 1.25Cr-0.5Mo alloy148148148148148148148

Click a material row to load it into the calculator. Values are publicly republished II-D figures — always confirm with the latest code edition for design.

How the calculation works (UG-27 / UG-32, step by step)

P (internal)RtInside radius R, wall t, pressure PLongitudinal seam (Category A) → hoop stress formulaCircumferential seam (Category B) → axial stress formula

Code equations implemented

  • Shell, circumferential stress (UG-27(c)(1)): t = P·R / (S·E − 0.6P) — governs for typical welds
  • Shell, longitudinal stress (UG-27(c)(2)): t = P·R / (2S·E + 0.4P)
  • 2:1 ellipsoidal head (UG-32(d), K=1): t = P·D / (2S·E − 0.2P), = P·L/(2SE−0.2P) with L = 0.9D
  • Torispherical head (UG-32(e)): t = 0.885·P·L·M / (S·E − 0.1P), M = ¼(3+√(L/r))
  • Hemispherical head (UG-32(f)): t = P·R / (2S·E − 0.2P)
  • Then: treq = tdesign + CA → round up to standard plate → MAWP back-calculated on corroded tnom − CA

Why two shell formulas? Hoop stress is twice axial stress, but the longitudinal seam (E in the denominator) is usually the weaker link — so UG-27 checks both and you must satisfy each. With equal joint efficiencies the circumferential formula governs; with a poor longitudinal seam RT grade, the balance shifts.

External pressure? Not covered — buckling per UG-28 uses Part D Subpart 3 charts; see the FAQ. Min. formed thickness per UG-16(b) is 1/16 in (≈1.6 mm) excluding CA.

Need It Built? Source from ASME U-Stamp Shops

Once your thickness is scoped, the next step is a fabricator with an ASME U-stamp, II-D material traceability and Authorized Inspector sign-off — plus NDT, PWHT and hydrotest documentation. Send your vessel or heat-exchanger spec and we route it to qualified shops in the Hebei/Cangzhou industrial belt: SA-516-70 shells, formed heads, tube bundles, and skidded packages.

Frequently Asked Questions

How is pressure vessel shell thickness different from pipe schedule wall thickness?+

They solve different problems. A pipe schedule (ASME B36.10M) is a pre-selected commercial wall thickness standardized per nominal size — it knows nothing about your pressure, temperature, material allowable stress, or weld quality. UG-27 vessel thickness is an engineering calculation: t = P·R/(S·E − 0.6P), where S comes from the ASME II-D allowable stress table at your design temperature and E reflects the radiography of the seam. A SCH 40 pipe may be grossly over- or under-designed for a given vessel duty — the vessel formula sizes the wall for the actual load case.

Where does the 0.6P term in UG-27 come from?+

UG-27(c)(1) is not thin-wall theory with a fudge factor — it is the exact Lamé (thick-wall) solution restated. For a cylinder, the maximum hoop stress at the inside surface is σ = P·(R² + Ri²... )/... which the code rewrites as t = P·R/(S·E − 0.6P). The 0.6P in the denominator and the +0.4P in the longitudinal formula are the exact Lamé coefficients for the inside surface, so the formula stays accurate well beyond the t ≤ R/2 limit. That is why UG-27 is valid up to P = 0.385·S·E, far past where a simple 'hoop stress = PR/t' thin-wall formula would be dangerously unconservative.

What weld joint efficiency (E) should I use?+

E comes from Table UW-12 and depends on joint type and radiography, not on engineering judgment. For a Type (1) double-welded butt joint: E = 1.00 with full radiography (RT-1, 100% per UW-11), E = 0.85 with spot radiography (RT-2, UW-52), and E = 0.70 with no radiography. Fully radiographed longitudinal seams are the norm for most ASME-stamped process vessels; 0.85 spot RT is common for lower-pressure storage. Vessels in lethal service require full RT by UW-2.

Is the corrosion allowance included in the MAWP calculation?+

Yes — MAWP is computed on the corroded thickness (nominal thickness minus corrosion allowance), which is the conservative end-of-life condition. This calculator therefore reports MAWP for the selected nominal plate at your design temperature, using t(corroded) = t(nominal) − CA in the inverted UG-27/UG-32 formulas. The nameplate MAWP on a real vessel is certified by the manufacturer and may also be limited by nozzles, flanges, or the relief valve set pressure.

Why did the calculator refuse my design temperature?+

The allowable stress tables in this tool stop at 650°F (343°C). Above that temperature, carbon and low-alloy steels enter the time-dependent (creep) regime, where the allowable stress depends on design life and the values must be read from the latest ASME II-D edition — interpolation or extrapolation from public republished tables is not valid engineering practice. For stainless steels the table extends further; for Cr-Mo steels like SA-387 Gr.11, check II-D directly.

Does this calculator cover external pressure (vacuum) design?+

No — external pressure design is deliberately out of scope. Under vacuum, a thin cylinder fails by shell buckling (collapse), not yielding, so thickness follows UG-28 using geometry factors L/Do and Do/t with material curves from Section II Part D Subpart 3, plus stiffening-ring design if needed. If your vessel sees full vacuum or jacket pressure, complete a separate UG-28 calculation; a conservative first estimate is to design the shell for 15 psi external pressure.

Can I use this calculator for an ASME U-stamp vessel?+

Use it for scoping, budgeting, and checking fabricator quotes — not as the design of record. Code-stamped vessels must be designed and certified under VIII-1 (or VIII-2) by the manufacturer and reviewed by an Authorized Inspector (AI); the U-stamp is only applied after hydro/pneumatic test and data report sign-off. This tool implements UG-27/UG-32 faithfully but does not handle nozzles (UG-37), fatigue, wind/seismic, MDMT impact (UCS-66), or external pressure.

Why is the torispherical (F&D) head so much thicker than the 2:1 elliptical head?+

The 6% knuckle radius of a standard flanged-and-dished head concentrates bending stress at the knuckle, and the UG-32(e) stress multiplier M = ¼(3+√(L/r)) ≈ 1.77 reflects that. A 2:1 semi-elliptical head blends curvature smoothly, keeps K = 1, and typically needs only half the thickness (or less) of an F&D head for the same duty. That is why 2:1 ellipsoidal heads dominate modern vessel design despite slightly higher forming cost.

Related Engineering Tools

Disclaimer: This calculator implements ASME VIII Div.1 UG-27/UG-32 formulas with publicly republished II-D allowable stress values (100–650°F) for preliminary sizing only. It does not replace design, review, and certification by a qualified pressure-vessel engineer and an Authorized Inspector; code-stamped (U-stamp) vessels require a responsible manufacturer, full weld documentation, NDT, and hydrotest per ASME VIII-1. Nozzles (UG-37), external pressure (UG-28), fatigue, MDMT impact exemption (UCS-66), wind/seismic and jurisdiction-specific requirements are not covered.