Calculating Wall Thickness and Bolt Diameter for a Spherical Pressure Vessel

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SUMMARY

The discussion focuses on calculating the wall thickness and bolt diameter for a spherical pressure vessel with an internal diameter of 2m, subjected to a maximum applied pressure of 0.7MPa. The maximum stress in the spherical shell is established at 50MPa, while the maximum stress in the bolts is set at 200MPa. The formula for membrane stress in a thin sphere, σ=(internal pressure*mean radius)/(2*thickness), is highlighted as a starting point for calculations. The problem involves determining the necessary dimensions to ensure structural integrity under specified conditions.

PREREQUISITES
  • Understanding of pressure vessel design principles
  • Familiarity with stress analysis in materials
  • Knowledge of bolted joint design
  • Proficiency in applying formulas for membrane stress
NEXT STEPS
  • Calculate wall thickness using the formula for membrane stress in spherical vessels
  • Determine bolt diameter based on maximum stress criteria for bolted joints
  • Explore ASME Boiler and Pressure Vessel Code for design standards
  • Research material selection for pressure vessels under high stress
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Mechanical engineers, pressure vessel designers, and students studying structural integrity in engineering applications.

mattyboson12
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A spherical pressure vessel of internal diameter 2m is constructed by bolting together two hemispherical domes with flanges. Assuming that the number of bolts used to join the two hemispheres together is 12, determine the wall thickness of the dome and the diameter of the bolts, if the maximum applied pressure is 0.7MPa, the maximum stress in the spherical shell is 50MPa and the maximum stress in the bolts is 200MPa.

I really don't where to start with this question so was wondering if anyone could give me any hints. I know that for a thin sphere the membrane stress is σ=(internal pressure*mean radius)/(2*thickness)
 
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Maybe try to plug in some numbers and see what information you have or missing.
 

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