Question

Find moment of Inertia Ix and Iy for the built up steel beam. The 1"x32"plate is centered on the wide flange web together with the 2"x16" plate. The steel beam is a W18x71 (Area=20.8in^2 diameter=18.47 tw=0.495 Ix= 1170in^4 Iy= 60.3in^4) To get better understanding the picture is 2x16plate on bottom horizontal , a 1x32 centered in I form , and W18x71 centered on top horizontal.

I calculated Y-bar 15.57in Then Ix=15,421in^4 Iy=17,712in^4

Am I right? Thanks Sorry its so long