Learning Goal:

The beam section shown in figure $($Figure $1)$ has dimensions $H_1=25mm,H_2=9mm,$

$W_1=12mm,W_2=21mm,$ and $R=6mm.$ 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.

Calculate the moment of inertia of region $1$ about a vertical axis through its centroid.

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

View Available Hint$($s$)$

Hint $1.$ How to determine the moment of inertia

The moment of inertia for a rectangle about a line through its centroid parallel to one set of sides is $\frac{?}{\text{b}\text{a}\text{r}}(I)=\frac{1}{12}b{h}^3,$ where $b$ is the length of the side parallel to the axis and $h$ is the length of the side

perpendicular to the axis.

$(\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{y^{\text{'}}}{)}_1$

$m{m}^4$

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Part B

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$)$

$(d_x^{2}A{)}_1=$

$m{m}^4$