Step 3Attaching the door to the shelves with the copper bits.
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I'd have bought steel or aluminum if Home Depot had had either in stock, but you can see here that these pipe hangers fit just right, and that I was able to bend one for each shelf to hold it on the side that was too far from the edge. Since this is a hollow door, you can't just put a screw in anywhere, you have to do it at the edge. I drilled out pilot holes first so that it wouldn't deform the door at all when I put the screws in.
3 seemed to be enough to hold it very steadily on each side, so I didn't bother adding more. With a solid core door I'd have probably used more.