I am planning on building some bookshelves. The area I want to put it is about 45” wide. My question is just how wide can make the shelves before they will begin to sage under weight. I was thinking of making the shelves out of ¾” plywood with a solid wood banding on the front. I figured that would make for some strong yet good looking shelves. Should I make a center support or will that be strong enough to hold that large of a span.