good stuff...

haven't checked through all the math :whistling: but looks good. I'm surprised how poor I-Beam is in torsion, but its clear box section is the way to go... I would expect C-section to perform equally poorly..

I did the calcs once before in a similar way for box section for side supports to gantry instead of plate, you might want to add that option. Also there, I- & C-section might make sense as there is little torsion...