A W14 composite beam is to support a uniform dead load of 1.2 k/ft and live load of 1.2 k/ft. The…

A W14 composite beam is to support a uniform dead load of 1.2 k/ft and live load of 1.2 k/ft. The beam spans 24 ft and is spaced 8 ft from adjacent beams. Using a 5-in. fiat soffit slab and ¾ in. shear studs, determine the least-weight shape to support the load if f’c = 4 ksi and A992 steel is used. Design by (a) LRFD and (b) ASD.