$2.$ Please refer to the composite beam shown shown on the next page.

The beam comprises of a $\backslash (4^\{\backslash$circ$\}\backslash )$ thick concrete slab and a W$1250$ steel beam. Refer to Appendix B of your textbook for dimensions and section properties of the steel beam.

Given: the ratio of the Young's moduli of steel and concrete $\backslash (=13$: $1\backslash )$; and the composite beam resists a bending moment of $\backslash (+100\backslash$mathrm$\{$k$\}-\backslash$mathrm$\{$ft$\}\backslash ).$

Determine the maximum bending stresses in steel and concrete.