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Something like this? (overhead view)I figure I can anchor the rungs both from the front and bottom of the aluminum stock.
Not sure 4" or 6" aluminum angle iron would work and not deflect for a 15 foot span, especially with a 3' depth, not to mention it will be EXPENSIVE ($311 for 4" angle x 180").
A significantly cheaper alternative would be steel 2x4s, but even then, 15' is way too long to go unsupported. If you had a leg at the midpoint, I'd say with reasonable confidence that steel 2x4s would be enough.BTW, this is based on direct experience building benchwork from steel 2x4s, not conjecture.