The composite beam with the cross section shown is composed of wood $)=(1\mathrm{.}45**{10}^6$ and steel $)=(29**{10}^6$ bonded together. When the beam is under pure bending with a bending moment of $M=200$ kip$-$in$.$

a$)$ Determine the maximum flexural stress in the steel and in the wood

b$)$ Determine the flexural stress that develops at the point $B$

c$)$ Determine the stress at the centroid of the cross section