[DonRotolo]

First consider what tasks are involved in building a robot, and make a space for those. Then consider the tools you have or will soon get, and create a safe working area for those. Lastly, storage for tools, materials, etc.

'Clean" tasks such as CAD, other design, web research, most award submissions, pre-machining layout, and so on can be done 'somewhere else' (like that computer room). Actual robot assembly takes place with a few people around the robot, so have a table a little bigger than a robot (like 3 x 4) with space around it and shelves or drawers beneath for robot assembly. (for 2 teams you need 2).

Then another table (or 2) for non-robot assembly tasks. Keep them small, too, and storage beneath.

Machines all need a clear work area for safety. Don't be afraid to put machines close to each other, just understand that one may interfere with the simultaneous use of another. Also make sure you have electrical outlets for the machines! (If not, ask the school for more).

Make a scale drawing (1" = 1') of the shop, machinery, furniture, and so on, and play with those to come up with a good layout. Then, limit who can be in the shop by what tasks they are doing: If not absolutely required to be in the shop, go somewhere else for that part of the task.