Crazily shaped thin walled pressure vessels

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SUMMARY

This discussion focuses on calculating hoop stress and axial stress in arbitrarily shaped thin-walled pressure vessels, specifically addressing the relationship between internal pressure and stress. The formula presented, p(A) = h(perimeter x thickness), is derived from principles used for cylindrical pressure vessels. The conversation also explores the integration process for analyzing ellipsoidal vessels, emphasizing the need for a systematic approach to stress calculations in non-standard geometries.

PREREQUISITES
  • Understanding of hoop stress and axial stress concepts
  • Familiarity with thin-walled pressure vessel theory
  • Knowledge of basic calculus for integration
  • Experience with pressure vessel design standards
NEXT STEPS
  • Research the derivation of stress formulas for ellipsoidal pressure vessels
  • Learn about finite element analysis (FEA) for complex pressure vessel shapes
  • Study the application of the thin-walled assumption in various geometries
  • Explore software tools for pressure vessel design, such as ANSYS or SolidWorks
USEFUL FOR

Mechanical engineers, pressure vessel designers, and students studying advanced mechanics of materials will benefit from this discussion.

Urmi Roy
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If we were to calculate the hoop stress and axial stress in any arbitrarily shaped pressure vessel, is it correct to say (assuming internal pressure=p...and denoting hoop stress as h)
that

p(A)= h(perimeter x thickness)...

I'm saying this on the basis of the general procedure used for cylindrical pressure vessels...

In the figure attached, the first is an absolutely arbitrarily shaped vessel, whereas the second is an ellipsoidal vessel...could you describe it in relation to my figures?
 

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ok..so if i had an ellipsoidal vessel, could you tell me how i could begin integrating...just the basic procedure?
 

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