Sea level pressure is 14.7 psi...
Lets throw some pressure gages and some real vacuum pumps onto this apparatus and see what you get...
First of all, there are two different kinds of pressure to know:
-Gage pressure is literally the pressure read by a gage. It is a pressure difference between two different places (often with one of them being the atmosphere).
-Absolute pressure is the pressure against a vacuum. A mercury barometer measures absolute pressure directly (the column of mercury is held up by the atmosphere pushing against a vacuum inside the mercury-filled tube). And you can simply add the atmospheric pressure to the gage pressure to get absolute pressure in most other cases.
Now, a quick google tells me that a mediocre vacuum pump will get you down to 1/100th of an atmosphere. Since atmospheric pressure varies by more than that from day to day (for example, the pressure where I am right now is 13.8psi, you can assume for most purposes that a vacuum pump gives you a perfect vacuum (*caveat later). So, hooking a pump up to a vacuum bag with a 1' square piece of laminated plywood on it is the equivalent of piling 14.7*144= 2117 lb of weights on it. Lot of force in pressure, isn't there?
Now, in the situation I just gave, if you hook up a pressure gage to the vacuum bag (leaving the other end of the gage open to atmosphere), you'll read -14.7psi. Adding atmospheric pressure gives you -14.7+14.7=0 psi absolue pressure. Either way, same thing.
Now, if you put that vacuum bag into a vacuum chamber and pump it out, a gage between the chamber and the atmosphere will read -14.7psi. A gage between the chamber and the bag will read 0psi. And with 0psi of pressure difference, there is no pressure pushing down on the bag.
*Now for that caveat: if your vacuum pump for the vacuum bag is inside the vacuum chamber, the pumps act in series with each other (depending on the pump) so while the chamber may have a pressure of .01 atm, the bag may have a pressure of .0001 atm. Multiplying that out gives 14.7*(.01-.0001)= .145psi. Not a lot of pressure, but on a 1 square foot area, it is that's about 21 lb of weight sitting on top of it. But the caveat to this caveat is that the better the pumps, the less of a difference you'll see between the bag and the vacuum chamber. Ie, if your pumps can give you 1/1000th of an atmosphere (still a pretty mediocre pump), you will only have the equivalent of 2 lb of weight sitting on your project piece.