Crazily shaped thin walled pressure vessels

[Urmi Roy]

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?

 

[Urmi Roy]

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