Scott-
W4 x 13lbs
Keep in mind that this system evolved, it was not pre-designed.
in the 70's & 80's we still did a fair amount of construction, and I had a few W4's laying around from jobs. It occurred to me one day to select one that would span horizontally between (across) 2 lally columns in the shop, prop a 2 x 4 under under it around work-table height at each end, and clamp it to the columns. Then i made the adjustable/levelable hangars for the bar clamps and that was it until I moved up here. The system was far from perfect due to the lack of torsional rigidity, but nevertheless worked so well that I added legs for the new shop, and continued to add "features" as needed. We used to clamp a lot of stuff pushing 16' long, so the original beam was 14', IIRC. Think it is only 12' now. But with the installed clamps spread to the ends; that still allows 16' in a pinch with 2' extending each way and the loose clamps added to the overhanging material.
The lack of torsional stiffness has always sort of bothered me from a design esthetic. But in fact, 3 decades on, it really is more than adequate for the glue up clamps. I have had not only 12 - 14' long, 4' wide, glued up in 60" bar clamps; but an additional 2 layers built with loose clamps on top of that. I do start adding props under the cantilevered clamps in situations like that. Also have a once made but rarely used set of outboard posts that clamp on the feet, and a parallel rail can span between them to support the clamps. Again, almost never used. It was convenient for a large L shape counter, once, many years ago.
When using air, I do calculations and keep a decent safety factor. There is a regulator in line, grade 8 allthread intermediary hangars/tie bars, and the air is not left on. The Firestroke actuators are inflated to the calculated value and shut off. Each actuator is good for 5 tons (10,000lbs) at around 100 PSI. I seldom use over 40 - 50 psi.
For a lathe, the W4 x 13 really is pretty flexible, but obviously works. Designing from scratch, I would either weld or maybe just bolt (to avoid distortion) a "suitable" over hanging plate to a 3 x 4 or 3 x 5 rectangular box column of sufficient wall thickness (1/4"?) or possibly box the I beam (W section beam) and then plane it to mitigate any distortion.
Assuming good legs bolted to the floor, the lathe would also be stiffer merely if the I section was turned on its side to an H section and the components straddled both flanges. But it would be less convenient for the quick prototyping and for the legacy uses.
Actually, that suggests another method of adding quite a bit of stiffness: box the W4 with, say, 2 5" wide plates, one on top of the H and one under. Then hang components from those new flanges. It starts to get a bit wide, though.
smt