After many iterations trying to accommodate all the constraints, here's the current design and overall dimensions for a rolling table to be used in our laundry room:
Laundry Table.jpg
Laundry Table Dims.jpg
Materials are red oak and laminate covered plywood. Legs are 2x2 and rails are 1 1/2 x 3/4. Domino joinery. Top will be 1" thick, and shelves 3/4".
I'm worried about it racking (Perhaps needlessly?). Normal fix would be to use taller rails with multiple tenons, but I don't have room to increase the rails and still fit the necessary "stuff" on the shelves. And it's already a little taller overall than I would prefer.
Here's one solution I'm pretty sure would work, essentially embedding T braces in the middle and lower rail to leg joints:
T Brace.jpg
It would be a bit fussy, but not too bad, and invisible once assembled. I didn't bother to show the screws holding the brace in place.
But I'm looking for opinions and options. First, will racking likely be a problem? (It won't have tons of weight on it, and won't be rolled very far or often) If racking is a concern, are there easier/better ways to prevent it without changing dimensions?