Crazily shaped thin walled pressure vessels

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Calculating hoop and axial stress in arbitrarily shaped thin-walled pressure vessels can be approached similarly to cylindrical vessels, using the equation p(A) = h(perimeter x thickness). The discussion highlights the need for adaptation of these calculations to accommodate different geometries, such as ellipsoidal shapes. For ellipsoidal vessels, integration techniques must be applied to account for varying curvature and stress distribution. Basic procedures for integration involve defining the geometry and applying appropriate stress equations. Understanding these principles is crucial for accurate analysis of non-standard pressure vessel shapes.
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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