Cut eight 3-foot lengths of 1-inch by 6-inch lumber to create the vertical supports for the table. Screw two boards together along their length, so that they form a right angle -- drill the holes before inserting the screws to prevent the wood from splitting. Repeat this process to create four 3-foot-tall corner panels.
Cut four 8-foot lengths of 2-inch by 4-inch lumber to create crossbars to span between the corner panels to construct the sides of the table. Lay two corner panels parallel to each other, 8 feet apart. Connect the two corner panels by attaching two 8-foot crossbars with screws, perpendicular to the length of the corner panels. Position one support 1/2 inch below the top of the corner panels and position the other support 6 inches above the bottom of the corner panels. Repeat this process to attach crossbars between the remaining two corner panels.
Cut four 45-inch lengths of 2-inch by 4-inch lumber to create crossbars for the ends of the table. Connect the two sides of the table by attaching two 45-inch crossbars between the corner panels at each end, at the same height as the crossbars on the sides of the table. This will produce a rectangular table frame slightly larger than the sheet of plywood.
Turn the table frame upside down and attach a locking caster to the bottom of each of the four corner panels with screws -- use caster brackets if necessary, and follow the caster manufacturer's instructions. Turn the table frame upright and lock the casters so that the frame does not roll.
Place the sheet of plywood onto the top of the table, so that it rests on the crossbars between the corner supports. Trim the edges of the plywood if necessary to ensure a tight fit into the corner panels. Secure the plywood to the crossbars with screws -- pre-drill the holes to keep the wood from splitting.