This had crossed my mind.
Basically the drawers are going to contain dividers and trading cards. I want them on top because I'm going to be accessing them a lot more frequently, and I'll be looking through them and pulling things out frequently.
The bottom shelves are each going to have two specific boxes that weigh between 7-10 lbs each, so between 14-20 lbs per shelf. That means that, when full (which they will be) the bottom shelves will be holding 56 to 80 lbs. My assumption was that this, along with the weight of the carcass, would be enough weight to make sure the cabinet stays put when pulling the drawers out.
Additionally, I was going to make two of this same unit and connect them at the sides with these socket cap bolts:
Amazon.com. This way, if I needed more storage in the future, I could even add a third, etc. But also, pulling one drawer out would also have the weight of both full cabinets.
Does this seem sound? Is there a better way to set this up without the drawers being on the bottom?
This is an image of a previous cabinet I built for similar storage needs. The boxes on the bottom few shelves are the same that are going to be stored here at two per shelf.
View attachment 449594
Additionally, I seriously appreciate all the input I've received here! Thanks a ton to everyone who has replied.