Technical Explanation: Pressure Vessel Design
Pressure vessels are critical components in many industries, including chemical, petrochemical, power generation, and aerospace. The design of pressure vessels is governed by codes such as ASME Section VIII Division 1 to ensure safety and reliability.
The wall thickness of a pressure vessel must be sufficient to withstand the internal pressure without exceeding the allowable stress of the material. The basic formulas for thin-walled vessels are derived from membrane stress theory.
Cylindrical Vessels
For a cylindrical shell, the hoop stress (circumferential) is the primary design stress. The minimum thickness is calculated using the formula:
t = (P·D) / (2·S·E − 1.2·P) + CA
Spherical Vessels
Spherical vessels have lower stress for the same diameter and pressure because the stress is distributed biaxially. The thickness is:
t = (P·D) / (4·S·E − 0.8·P) + CA
Joint Efficiency
The joint efficiency factor (E) accounts for the strength reduction at welded joints. Typical values: 1.0 for fully radiographed welds, 0.85 for spot radiography, and lower for non-destructive testing.
Corrosion Allowance
Corrosion allowance (CA) is an additional thickness added to the vessel to ensure that it remains structurally sound throughout its design life despite material loss due to corrosion or erosion.
Maximum Allowable Working Pressure (MAWP)
For a given thickness, the MAWP is the maximum pressure the vessel can safely contain at the design temperature. For cylindrical vessels, it is calculated from the same formula rearranged.