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Pressure vessel stress depends on pressure, geometry, and material. Proper design prevents catastrophic failure; all vessels require rigorous analysis.

Formel

Thin-walled hoop stress: σ = (P × r) / t
P
P value — Variable used in the calculation

Trinn-for-trinn guide

  1. 1Thin-walled hoop stress: σ = (P × r) / t
  2. 2Thin-walled longitudinal: σ = (P × r) / (2t)
  3. 3Thick-walled uses complex formulas; pressure determines stress

Løste eksempler

Inndata
Cylinder r=200mm, t=10mm, P=5 MPa
Resultat
Hoop stress ≈ 100 MPa
Governs failure mode

Vanlige feil å unngå

  • Neglecting stress concentration at nozzles
  • Under-sizing vessel wall thickness

Ofte stilte spørsmål

Why is hoop stress higher than longitudinal?

Hoop stress acts in two directions around vessel; only half the stress resists longitudinal loading.

How are vessel codes applied?

ASME Section VIII governs U.S. pressure vessel design; requires rigorous calculations and inspections.

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