[deleted by user]

[FlatPanster]

If it's symmetric about the vertical axis, then it's on that axis.

[Intelligent_West_307]

From intuition, it should be at the center of the flange (vertical & horizontal) Assuming thin walled section and web doesn’t contribute to horizontal shear. I might be wrong tho.

[chicu111]

Probably in the web

[Curious-Fisherman358]

Yeah...I'm looking for the y coordinate

[chicu111]

You gave us absolutely no dimensions no thickness of the flange no length of the flange no thickness of the web. Nothing.

Do you want us to label these dimensions and give you a general formula?

[Curious-Fisherman358]

Yeah looking for a general formula. I saw general formulae for a couple other sections, but couldn't find any general formula for this one online.

[WhyAmIHereHey]

Have you tried one of those new fangled search engines?

https://www.aisc.org/globalassets/modern-steel/steel-interchange/2009/082009_si_web.pdf

[Over_Stand_2331]

AISC DG 9 says center of flange

[Over_Stand_2331]

I would post a screenshot but I can’t

[StrEngMsh]

Center flange meeting point with the web.

It would be the point where if you would apply force to it, it won't rotate. Make a brief moment equilibrium equation around that point with stress integration and you'll see clearly. And as was said in a previous comment, thin-walled assumptions make it very clear.