I Section

T Section

Inverted T Section

Page $1$ of $2$

Part A

Draw the FBD and calculate the reaction forces of the beam shown in Fig. $1$ and $2.$

If the cross$-$section of the beam is as follows, calculate their center of gravity and moment of inertia about their centroidal axis.

Add three sections here $($i$.$e$.$ a I section, a T section and an inverted T section$).$ Assume any reasonable value for the dimensions of those sections.