I'm building a 72" wide, 26" deep cabinet to sit next to my table saw and hold lots of jigs, equipment, blades, etc...

There will be 3 vertical dividers that will be connected between the top and bottom, and have multiple drawers held between them. I'm sure the drawer weight will be considerable with about 10 drawers.

Top, bottom, and vertical supports will be made of 3/4" Baltic Birch plywood.

I'm planning on having the table supported on four casters from below.

Now, obviously, 72" is a long span on the bottom. Will the vertical supports prevent the table from sagging in the middle? I'd like to use it as both an assembly table, and support for large sheets goods sliding across the table saw when being crosscut.

I'd prefer not to go to the work of making a torsion box below the bottom. I would consider angle iron attached to the bottom, if the consensus is that sag will be a real issue.