This is an embarrassingly simple question for someone who knows the formulas, and as I am not one of those people, I humbly apologize ahead of time.
I have been working on building and installing a 'slat wall' system(1) in my garage to improve on tool storage and general orderliness, all the designs are from plans I got from professional woodworkers(2), so I'm reasonably confident that they will handle the typical loads one would find in a garage or workshop, considering that heavy items would generally be pushed to the back of the shelf where the load would be better distributed on the system components.
While working on this, I started thinking towards the new back porch/deck I'm having built(3), and I had the idea of using this system to allow the mounting of 'picnic tables(4)' along the deck railing for parties. My concern is that someone could over-stress the system by leaning down on or sitting on the edge of the picnic table.
This brings me to my question(5), given the shelf design below, what would be the maximum weight I could put on the edge before something fails? All components are 3/4" Plywood, and since the numbers might be hard to see, the shelf top is 12 inches out from the slat wall, and 24 inches wide, the back support is 6 inches high, and the side supports, which fit under the shelf top, are 10 inches out and 9 inches high. the side supports are screwed to either end of the back support, and the shelf top is mounted onto the top of that subassembly. the cleat that holds the shelf to the slat wall is 2 inches high, with a 45 degree bevel, and runs about 11 to 11-1/2 inches along the back of the shelf, screwed to the back support at 4-5 locations, evenly spaced.

Any tips would be greatly and humbly appreciated.
Notes:
- Technically it's a 'French cleat' system, but it LOOKS like a heavy-duty slat-wall.
- Well, they may not be professional woodworkers, but they ARE the editors of Woodsmith magazine, so SOMEONE over there is 'shop-testing' the designs.
- I live in Chicago, and with all the permits, licenses, inspections, certifications, fees, permit fees, construction tax, window, tax, carpet tacks(6), etc., it's just less of a headache to hire a contractor who already has the connections to bribe the right people to get the construction approved.
- The '12 inch deep shelf' design, stained and varnished to compliment the deck.
- I know, I give a novel worth of backstory for a simple question, but at least it's better than "I want hook up three generator, two 240Kw, one 360KvA, how I wire generatro together, thank much."
- Yeah yeah, I know, I need new jokes, mine are older than Comedy itself.
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