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I'm looking for a little help determining how many beams and what gauge steel I need for my bed framing. Bed dimensions will be 80" long by 73" wide with no vertical supports in the middle. Storage and head space is a premium so I was hoping to get away with 1"x1" square steel tubing instead of rectangular. Can someone tell me the formula for calculating the required gauge and number of beams with this setup? Also, what's a standard deflection for this application, type of steel that is fatigue resistant? I have a local quote for A500/A513.

Is 80/20 (although much more expensive) feasible for this application in terms of strength? I imagine it will be much much lighter.