Using the slope-deflection equations below, determine the beam slope at C. Let P1 = 15 kips, P2 = 12 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 + 42MEC = EIθC / 14 + –42

Determine the magnitude of the bending moment at C. Let w = 2.5 kip/ft, L1 = 17 ft, and L2 = 15 ft. Assume EI = constant.

Determine the reaction force at B. Let w = 13 lb/in., a = 69 in., and EI = 108 × 106 lb·in.2.

Determine the magnitude of the bending moment at C. Let w = 1.0 kip/ft, L1 = 34 ft, and L2 = 26 ft. Assume EI = constant.

Determine the beam slope at B. Let w = 2.3 kip/ft, L1 = 37 ft, and L2 = 21 ft. Assume EI = constant.

Determine the magnitude of the bending moment at B. Let w = 1.9 kip/ft, L1 = 36 ft, and L2 = 21 ft. Assume EI = constant.

Determine the slope at A that would be caused by the distributed load if the fixed support was a pin support, instead. Let w = 10 lb/in., a = 114 in., and EI = 33 × 106 lb·in.2.

How do you know when there is no point to doing another degree of moment distribution?   

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.