Using the slope-deflection equations below, determine the beam slope at C. Let P1 = 15 kips, P2 = 20 kips, L1 = 18 ft, L2 = 10 ft, and L3 = 14 ft. Assume EI = constant.MAC = EIθC / 14 + 34.44MCA = EIθC / 7 + –61.99MCE = EIθC / 7 + 70MEC = EIθC / 14 + –70

Determine the magnitude of the bending moment at C. Let w = 4.0 kip/ft, L1 = 18 ft, and L2 = 19 ft. Assume EI = constant.

Use the portal method to determine the magnitude of the approximate axial force in column DG. Let P1 = 21.0 kN, P2 = 43.9 kN, L1 = 10 m, L2 = 6 m, and L3 = 7 m.

Use the portal method to determine the magnitude of the approximate shear in column AD. Let P1 = 20 kN, P2 = 36 kN, L1 = 10 m, L2 = 6 m, and L3 = 7 m.

Using the method of consistent deformations, determine the force in member AD. Let P = 23 kN, L1 = 3 m, and L2 = 6 m. Assume EA = constant.

Determine the deflection at B that would be caused by the distributed load if the middle support was not there. Let w = 7 lb/in., a = 67 in., and EI = 108 × 106 lb·in.2.

Using the method of consistent deformations, determine the magnitude of the reaction at B. Let w = 21 kN/m and L = 8 m.

Determine the fixed end moment FEMBA with a settlement of 1.2 in. at support B.   As in Chapter 16, include the effect of settlement in the FEM calculation.  Let w = 1.6 kip/ft, L = 29 ft, E = 29,000 ksi and I = 1,500 in.4.

Determine the magnitude of the bending moment at B. Let w = 1.0 kip/ft and L = 30 ft. Assume EI = constant.

Determine the distribution factor DFAB. Let w1 = 1.8 kip/ft, w2 = 2.4 kip/ft, L1 = 31 ft, and L2 = 27 ft. Assume EI = constant.