A steel channel $(($:$E_{\text{s}\text{t}\text{e}\text{e}\text{l}}=29,000$ksi$\}$ is reinforced with a piece of lumber $)=(1,400$ksi. The maximum allowable normal stress in the steel is $15$ksi, and the maximum allowable normal stress in the wood is $1$ksi. The centroid of the steel channel $($only the channel, not the composite section$)$ is located $0\mathrm{.}674"$ upward from the bottom of its web.

A$)$ Determine the transformation factor that should be used in order to transform the wood into an equivalent amount of steel.

B$)$ Calculate the area moment of inertia about the horizontal axis of the transformed section.

C$)$ Determine the maximum bending moment which may be applied about the horizontal axis.