A composite rectangular beam is built from a brass I$-$beam that has aluminum blocks

continuously bonded to it wherever the two materials are in contact, as shown in the

cross$-$section below. A bending moment of $1750$ kip$-$inches is applied to the end of the

composite beam, as shown in the side view. The location of the neutral axis for the composite

beam $($which is the same as the location of the centroidal axis for the transformed section$)$ is $6$

inches from the bottom of the beam.

a$.$ Using a simple sketch, show the transformed cross$-$section of the beam used to determine

the location of the neutral axis and the moment of inertia. Clearly show ALL

DIMENSIONS $($both widths and heights$)$ for the transformed cross$-$section.

b$.$ Calculate the maximum stress in the aluminum and brass caused by the bending moment.

The moment of inertia, I, for the transformed beam section is $2054$ in $4.|$