Learning Goal:

To calculate the location of the centroid for a composite area.

The beam section shown in figure $($Figure $1)$ has dimensions $H_1=29mm,H_2=10mm,W_1=8mm,W_2=28mm,$ and $R=5mm.$ Determine the moment of inertia of the section about the $y-$axis.

Use the table below to organize your calculations. For regions that are holes, use negative values for $\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{y^{\text{'}}}$ and the area.

$\backslash$table$[[$Segment$,\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{y^{\text{'}}},d_x,$Area,$A{d}_x^2,I_y$