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I am trying to find the new moment of inertia total for a rectangular stainless steel 4"x2"x.25"thk with a 3"x.75" flat bar welded on top of the short side of the rectangular tube. The short side (.75") of the flat bar will be welded to the center of the rectangular tube to the 2" side, total height of 7". I am looking for the moment of inertia at the x-x axis. I get a new moment of inertia total of 22.15 in^4. Can anyone confirm that the total is correct? I have also attached my calcs for reference.

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# Moment of inertia of rectangular tube with welded flat bar

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