Plywood backing necessary?

I just built two 8 foot boxes, and I'm about to put the topsheet on the second box. For the first box, I put 2x4's along the width of the box directly underneath the topsheet. I put a 2x4 every foot, but now I just read some threads saying that it's a good idea to put a piece of plywood between those and your topsheet to provide support for the plastic so it doesn't crack. Is that so necessary that I should take off my topsheet and put some plywood in there?

The boxes are 8 feet long, 1 foot wide, with 1/2" HDPE
 
its confusing what your saying, but if you mean on the top of the 2x4 frame, then its a must, with out it the HDPE will bend and youll not slide smooth, but with half inch HDPE it might not be completly necessary, but its deffinatly a good idea
 
This is what I mean (you probably have to click on the thumbnail)

ASME%20box.JPG
 
oh, well with 1/2 inch HDPE you wont need it, but plywood is cheap and it would probably be a good idea, but with that frame its not mandatory
 
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