No problems with our 41 qt tubs in sideways. I can pull them way out even with 2,000 gram females in them, change water and paper like normal. Just give yourself a little extra depth to make sure you can push the bins ALL the way in with some extra room. My bins are a little floppy and if they were flush with the shelf, I think the big girls could push out. Or put a pin lock on each of them.
Let me know if I need to explain more.