Pressure loading on circle shaped plate
Pressure loading on circle shaped plate
(OP)
Hola forum,
We are modifying an existing nozzle (20" I.D. X 8" high X 63" thick hoop) to perform pressure testing on the lid that it mates to. We intend to close off the other end of the nozzle by welding a plate to the bottom of it. We've done this before with the old fabricator "that'll hold" calculations. I'd like to go at this one a little smarter and find the proper thickness required and maybe the stress on the weld.
The information:
P = 165 psi
A = 314 in^2
Assumption:
I can apply a force of P*A at the center of the plate.
I can react that force at the area where the plate meets the nozzle. (O.D. = 21.25 X I.D. = 20)
The question:
How do I calculate moment of inertia across a plate of changing width (a circle).
Any help is appreciated even the proper terminology of what I'm trying to do so I can look it up.
We are modifying an existing nozzle (20" I.D. X 8" high X 63" thick hoop) to perform pressure testing on the lid that it mates to. We intend to close off the other end of the nozzle by welding a plate to the bottom of it. We've done this before with the old fabricator "that'll hold" calculations. I'd like to go at this one a little smarter and find the proper thickness required and maybe the stress on the weld.
The information:
P = 165 psi
A = 314 in^2
Assumption:
I can apply a force of P*A at the center of the plate.
I can react that force at the area where the plate meets the nozzle. (O.D. = 21.25 X I.D. = 20)
The question:
How do I calculate moment of inertia across a plate of changing width (a circle).
Any help is appreciated even the proper terminology of what I'm trying to do so I can look it up.






RE: Pressure loading on circle shaped plate
uniform pressure on a round plate is a standard problem with a simple handbook solution, but if you're going to apply 52,000 lbs to it you need to be Way more careful.
good luck, and get professional help; or do it the good ol' way.
RE: Pressure loading on circle shaped plate
Can't you give me a hint?
RE: Pressure loading on circle shaped plate
It is covered in Roark. You are looking at a simply supported circular plate, not a beam.
Cheers
Greg Locock
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RE: Pressure loading on circle shaped plate
The problem is (I'm embarrassed to ask) is that I cannot successfully relate the displacement to the corresponding stress in the plate.
I'm using Hooke's Law multiplying E (modulus of Elasticity) by the calculated displacement divided by the original thickness. The result does not correlate well with FEA results.
I know this is a dumb question and I would ask the engineer sitting next to me if there was one. Any help is appreciated.
RE: Pressure loading on circle shaped plate