13ft wide desk/workbench with only one leg

This question is much like: how to "float" a large desk (3000mm x 720mm x 40mm) between walls but somewhat different (mainly, significantly wider).

I want to build a desk that is 13ft wide, supported by cleats (lagged to wall studs) at the back edge and at the ends. I don't want to try to make the top stiff enough that NO support is needed along the front edge (the "torsion box" described in other questions). I simply want to reinforce the front edge with a piece of steel angle (already in hand), and perhaps some additional wood, and support that in the middle with a single strong leg (in order to have as much clearance as possible under the desk).

The top will be made from two pieces of 3/4" furniture-grade (hardwood) plywood. I'll cut some curves into the front edge, to make two somewhat separated work spaces. (Cutting those curves smoothly enough to allow applying edge-banding is probably beyond my skill level, but I have a carpenter friend who can easily do it in his workshop). It'll look something like this:

My question is about how to support the front edge. Is simply bolting my piece of steel angle (2 x 2 x 1/4" by 7ft long) to the underside of the top, near the front edge, and supporting the center of that angle with one leg, sufficient ? If I think of the two ends of the angle (from either side of the leg) as cantilevered beams of 42" length, a 100lb point load at the end gives about 1/4" maximum deflection; that's a bit more load that leaning hard on the edge of the desk with both elbows, and it doesn't include the rigidity of the plywood itself, so I think I can live with that. (I realize the entire 84" of steel can rotate slightly off the top of the leg, so modeling it as two separate 42" cantilevers isn't that accurate, but hopefully in the ballpark).

Then there's the deflection of the unsupported section of plywood between the end of the steel angle and the end wall, about 35". I'd like to compute the deflection of a point load (let's say 100lb again) at the center of that 35" span of plywood, but I'm not sure how to compute that (nor the shear on the plywood). So perhaps some extra wood support along the front edge would be in order. This shows a 2x8 board near the front edge. It would be laid flat (even a 2x4, in the normal joist configuration, would provide too much obstruction under the desktop).

With a 100lb load at the center of a 35" span of laid-flat 2x8, I compute a max deflection of about 0.04" (seems counterintuitively low, but it's what I get using the formula FL^3/48EI, with E = 1.15*10^6 lb/in^2 for #2 SPF lumber, and I = 2.04 in^4 for a flat 2x8).

Another idea was to make the desktop two layers thick, with the base layer made from 3 pieces ripped from a sheet of BC plywood. It has the added advantage of supporting the top layer between the back wall and the front edge, although I doubt that is needed. It would look something like this:

So, which of these three ideas for supporting the front edge of the desk is best ?

1. The piece of steel angle alone ?
2. The steel angle plus a laid-flat 2x8 ?
3. The steel angle plus a base layer of 3 chunks of BC plywood ? (Each with a single leg in the center of the front edge).

Also, for appearance sake, the front (curved) edge of the furniture-grade top will hang off whatever support is underneath it (option 1, 2, or 3 above) perhaps 2" where the desktop is only 28" deep and 10" where it is 36" deep. I wonder if that it too much cantilever of the desktop ? Do I need to bring the support 28" out from the wall (won't look so good) and/or reduce the depth of the curvature of the front edge to 6" instead of 8" ?

• Take a look at my answer to another desk question. diy.stackexchange.com/questions/114905/… The Brackets come in large sizes. 24” x 29” - businessfurnitureshop.com/workstation-brackets.html Apr 2, 2021 at 20:13
• How thick is the "furniture grade plywood"? Apr 2, 2021 at 20:17
• Is the desk supported at the back? Apr 2, 2021 at 20:18
• @RustyShackleford - 24” x 29” My desk is on a knee wall and there has been no problems for 4 years, on a full wall it would be plenty strong. I would put one bracket at least ever 2nd stud, (32"), You may get away with 48". The bracket is thin so the "obstruction" is minimal and perpendicular to the front of the desk as opposed to the angle that is parallel. I used only the brackets, no angle. You can probably find a better deal on the brackets. I found some for \$40.00 ea. duckduckgo.com/… Apr 2, 2021 at 20:48
• counterbalanceshop.com/counterbalancer-workstation-bracket.html of coarse there is shipping. I have a specialty hardware store in town that carries them, perhaps you may also. Apr 2, 2021 at 20:51