Learning Goal:

The beam section shown in figure $($Figure $1)$ has dimensions H$1$H$1=27$ mmmm $,$ H$2$H$2=12$ mmmm $,$W$1$W$1=12$ mmmm $,$ W$2$W$2=28$ mmmm $,$ and RR $=6$ mmmm $.$ Determine the moment of inertia of the section about the yy$-$axis.

Use the table below to organize your calculations. For regions that are holes, use negative values for I$$y$$I$$y$$ and the area. Calculate the moment of inertia of region $2$ about a vertical axis through its centroid.

Express your answer in mm$4$mm$4$ to three significant figures.

View Available Hint$($s$)$for Part C

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$($I$$y$)2($I$$y$)2=$ Calculate the product of the area and d$2$xdx$2$ for region $2.$

Express your answer in mm$4$mm$4$ to three significant figures.

View Available Hint$($s$)$for Part D

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$($d$2$xA$)2($dx$2$A$)2=$ Calculate the moment of inertia of region $3$ about a vertical axis through its centroid.

Express your answer in mm$4$mm$4$ to three significant figures.

View Available Hint$($s$)$for Part E

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$($I$$y$)3($I$$y$)3=$

Calculate the product of the area and d$2$xdx$2$ for region $3.$

Express your answer in mm$4$mm$4$ to three significant figures.

View Available Hint$($s$)$for Part F

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$($d$2$xA$)3($dx$2$A$)3=$

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

Express your answer in mm$4$mm$4$ to three significant figures.

View Available Hint$($s$)$for Part G

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$($I$$y$)4($I$$y$)4=$

Part H

Calculate the product of the area and d$2$xdx$2$ for region $4.$

Express your answer in mm$4$mm$4$ to three significant figures.

View Available Hint$($s$)$for Part H

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$($d$2$xA$)4($dx$2$A$)4=$