Determine the demand capacity ratio (DCR = Mu / Mn) for a W21x44 (Fy = 50...

 

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Determine the demand capacity ratio (DCR = Mu / Mn) for a W21x44 (Fy = 50 ksi) with a simple span of 40 ft. The spacing to adjacent beams is 12 ft on each side of the W21x44. The slab is composed of a 3" deep steel deck with 4" of lightweight concrete (fc = 4,000 psi; w = 110 pcf) over the top of the deck (total thickness = 3" + 4" = 7"). The deck is oriented perpendicular to the beam. The ribs in the deck are spaced at 12" centers. There are two 3/4" diameter studs in each rib for a total of 80 studs over the entire beam length. The service loading is Wd = 0.865 k/ft including beam weight and WL = 1.200 k/ft. Consider unshored construction. a. Use either the AISC design aids or the detailed equilibrium equations b. Verify that the section is adequate for the initial non-composite conditions assuming self-weight loading (Wsw) is 0.649 k/ft and a construction live load (WCLL) is 0.240 k/ft. Determine a recommended camber for the beam. c. Determine the demand capacity ratio (DCR = Mu / Mn) for a W21x44 (Fy = 50 ksi) with a simple span of 40 ft. The spacing to adjacent beams is 12 ft on each side of the W21x44. The slab is composed of a 3" deep steel deck with 4" of lightweight concrete (fc = 4,000 psi; w = 110 pcf) over the top of the deck (total thickness = 3" + 4" = 7"). The deck is oriented perpendicular to the beam. The ribs in the deck are spaced at 12" centers. There are two 3/4" diameter studs in each rib for a total of 80 studs over the entire beam length. The service loading is Wd = 0.865 k/ft including beam weight and WL = 1.200 k/ft. Consider unshored construction. a. Use either the AISC design aids or the detailed equilibrium equations b. Verify that the section is adequate for the initial non-composite conditions assuming self-weight loading (Wsw) is 0.649 k/ft and a construction live load (WCLL) is 0.240 k/ft. Determine a recommended camber for the beam. c.

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