2 A cantilever beam with a roller support. Material: Steel Diameter 2.0 in. 1 kip. 3 ft. 90 lb/ft Under 6 ft.

For the beam show below, draw A.F.D, S.F.D, B.M.D 6 kN/m 1 M B. 3 M M

Figure 14.20 Full Alternative Text 14.21 A solid rectangular simply supported timber beam 6 in. wide, 20 in. deep, and 10 ft long carries a concentrated load of 16,000 lb at midspan. Use nominal dimensions. a. Compute the maximum horizontal shear stress at the neutral axis. b. Compute the shear stress 4 in. and 8 in. above and below the neutral axis. Neglect the weight of the beam.

Compute the initial deflection of the beam at midspan under service loads with the following specifications: f'c = 4000 psi, 36-inch height, depth of rebar assumed to be 3 inches less than the height, 16-inch width, 4 #9 bars (tension), Grade 60 rebar, 30' clear spans, service loads of: DL = 0.25k/ft, LL = 1.2k/ft. The DL does NOT include self-weight of the beam or of the precast concrete deck planks that have a weight of 60 PSF. The beam picks up a tributary width of 12 feet. Also, note that this beam is continuous and is the middle beam of 5 equal spans. Check the initial deflections against the ACI deflection requirements. Then calculate the long-term deflections and check those against the ACI requirements. For both situations, assume that finish materials will be attached to the beam. Last: Instead of performing a structural analysis to determine the maximum deflection in the beam, conservatively figure that the maximum deflection will be 60% of what it would have been for a…