A fully composite section that is comprised of an A992 W16x31 with a 5-inch, (f'c= 4 ksi) slab on top of it. The beam span is 30' and the spacing of the beams is 5-foot. All the shear studs to make the composite beam were completely forgotten to be installed by the contractor. Assume that the friction between the slab and the steel beam is enough to provide continuous lateral support to the compression flange of the steel beam but provides no composite action between the concrete and the steel. What is the LRFD moment capacity (4bMn) of this badly built attempt at a 'composite' beam, Hint; The flexural strength of the unreinforced concrete slab is 7.5*(f'c)^0.5 Also, the fundamental flexural equation is MC/I. Show all work.
A fully composite section that is comprised of an A992 W16x31 with a 5-inch, (f'c= 4 ksi) slab on top of it. The beam span is 30' and the spacing of the beams is 5-foot. All the shear studs to make the composite beam were completely forgotten to be installed by the contractor. Assume that the friction between the slab and the steel beam is enough to provide continuous lateral support to the compression flange of the steel beam but provides no composite action between the concrete and the steel. What is the LRFD moment capacity (4bMn) of this badly built attempt at a 'composite' beam, Hint; The flexural strength of the unreinforced concrete slab is 7.5*(f'c)^0.5 Also, the fundamental flexural equation is MC/I. Show all work.
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