Composite Bodies $($Setup and Solve$)$

Learning Goal:

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

The beam section shown in figure $($Figure $1)$ has dimensions $H_1=150mm,H_2=120mm,$ and $W=80mm,$ and all the plates have a thickness of $12$ mm $.$ Determine the location of the $y$ coordinate of the centroid.

Figure

$1$ of $2$

Part A

Use three segments to calculate the location of the centroid, as shown in $($Figure $2).$ The calculations can be organized using a table. Begin by calculating the area, $y$ coordinate of the centroid, and product for region $1.$ For regions that are holes, the area is negative.

View Available Hint$($s$)$

$\backslash$table$[[$Segment$,A(m{m}^2),$tilde$(y)(mm),$tilde$(y)A(m{m}^3)$