Pressure on medium in vacuum mold - formula needed

AI Thread Summary
To calculate the pressure exerted on the fabric in a vacuum mold setup, only the area of the fabric should be considered for pressure calculations, resulting in 2,880 lbs of force from the vacuum at 24" Hg. The total pressure over the entire press plate area does not apply to the fabric directly. When using C-clamps, the total force applied to the fabric would be 1,600 lbs, as this is the combined force from the clamps. It's important to account for the atmospheric pressure on the plates and the vacuum pressure when determining the net force on the fabric. Understanding these principles clarifies the pressure dynamics in vacuum molding applications.
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I'm a little confused as to how to figure out the pressure exerted on a material pressed between two solid "press plates" Let's say we have 2 .5" thick x 12" x 24" hardened steel plates. I have a 1" thick layer of cloth (say 50+ layers) of 8" x 18" (1ft^2).

The fabric is placed between the plates in the center, placed in a vacuum bag, and air is extracted to say 24" Hg (12psi). Now, since the area of the plates is 288in^2 but the fabric is 144 in^2, would there pressure exerted on the fabric be:
2,880 lbs (only the area of the fabric gets the pressure)?
or would it be
5,760 lbs (total psi over the entire press plate)

I'm assumming that only one side would be calculated for this application, is that correct as well?

What I'm getting confused about is if I use the same plates and use 4 C-clamps placed on the corners, say at 400lbs per clamp, wouldn't the pressure on the fabric be 1600 lbs?

Thanks for any help, I'm stuck "arguing" with someone over this, lol :)
 
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You can use a simple force balancing: the force from the atmosphere on a plate is given by the area of the plate. There has to be an equal force from the other side - subtract the pressure from your partial vacuum, and the remaining pressure has to come from the cloth. Include gravity if necessary.

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