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EN 14015 ROOF DESIGN
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EN 14015 Roof Design Calculator
Membrane roof plate thickness (pressure and buckling controlled) for self-supporting cone and dome roofs (BS EN 14015:2004, §10.2–10.4)
◉ BS EN 14015:2004 §10.2–10.4 STYLE CHECK · NOT A REGULATORY SUBMISSION TOOL
⚠ Indicative tool only, and structurally distinct from the existing API 650 and IS 803 Roof Design calculators. EN 14015 splits membrane roof thickness into two independent checks — pressure resistance and buckling resistance — and takes the greater; neither API 650's nor IS 803's roof formulas work this way. Verified directly against this edition's page images; sanity-checked with realistic inputs, buckling governs overwhelmingly at typical low design pressures (a few mbar), consistent with how thin roof plates actually behave.
Identification
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Roof Type & Slope Defaults (§10.2, reference)
One of two roof types shall be specified: (a) self-supporting cone or dome, with or without a supporting structure; or (b) column-supported. Default slopes/radii unless otherwise specified: self-supporting cone — 1 in 5; dome — radius of curvature between 0.8× and 1.5× tank diameter; column-supported roof — 1 in 16.
Minimum Thickness & Joint Efficiency (§10.3.3–10.3.6)
Minimum roof plate and structural member thickness (excluding corrosion allowance): 5mm for carbon/carbon-manganese steel, 3mm for stainless steel. Lap joints require ≥25mm minimum overlap. Allowable design stress S = 2/3 × yield.
Result
Joint efficiency J used
Allowable design stress S
Membrane Roof Plate Thickness (§10.4.2, Eq.12–14)
R1 = R directly for spherical roofs, or R/sinθ for conical roofs. Pressure-controlled: ep=pR1/(20SJ) [spherical] or pR1/(10SJ) [conical].
Result
R1 — radius of curvature used
Pressure-controlled thickness
Membrane Roof Plate Thickness — Buckling (§10.4.2, Eq.14)
ep = 40 × R1 × √(10pe/E). Uses R1 from the card above.
Result
Buckling-controlled thickness
Minimum table thickness (§10.3.3, excl. CA)
Governing thickness (greatest of the three)
Roof Framing Bracing (§10.3.7, reference)
Cross bracing in the plane of the roof surface: at least 2 bays (between two pairs of adjacent rafters), spaced evenly around the circumference, on all roofs exceeding 15m diameter. Additional vertical ring bracing on trussed roofs: one ring for roofs over 15m up to and including 25m diameter; two rings for roofs over 25m diameter.
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