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Custom Problem: A simply supported, uniformly loaded composite beam is constructed using a formed metal deck slab with the ribs running parallel to the steel beam. Details on the normal weight concrete slab and shear studs are provided below. Concrete Deck: $$b_{\text{eff }}=96^{??}$$ $${\mathrm{f}}^{?}\mathrm{c}=3\mathrm{ksi}$$ Typical cross Shear Studs: $$3/4$$ " diameter 3-1/2" length after installation $$\mathrm{Fu}=65\mathrm{ksi}$$ Assume one stud/group The steel beams are A36 steel, instead of the typical A992. For the following beam sizes, determine (i) the design moment capacity of the composite beam, $$?M_n$$, and (ii) the number of studs required along the full length of the simply supported beam to be fully composite. Assume that the required number of studs fit along the length of the beam. a. $$W14\times 48$$ b. $$W21\times 73$$ Hint: You cannot use AISC Table 3-19 to determine the moment capacity since it is a different yield stress for the steel beam.