Learning Goal:

The beam section shown in figure $($Figure $1)$ has dimensions $H_1=21mm,H_2=12mm,W_1=12mm,W_2=21mm,$ and $R=4mm.$ 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.,$A{d}_x^2,I_y$

Calculate the product of the area and $d_x^2$ for region $1.$

Express your answer in $m{m}^4$ to three significant figures.

View Available Hint$($s$)$

$(d_x^{2}A{)}_1=,m{m}^4$

Part C$.$

Calculate the moment of inertia of region $2$ about a vertical axis through its centroid.

Express your answer in $m{m}^4$ to three significant figures.

View Available Hint$($s$)$

$$

Calculate the product of the area and $d_x^2$ for region $3.$

Express your answer in $m{m}^4$ to three significant figures.

View Available Hint$($s$)$

$(d_x^{2}A{)}_3=m{m}^4$

Part G

Calculate the moment of inertia of region $4$ about a vertical axis through its centroid.

Express your answer in $m{m}^4$ to three significant figures.

View Available Hint$($s$)$

$(\frac{?}{\text{b}\text{a}\text{r}}(I{)}_y{)}_4=$