Use the portal method to determine the magnitude of the approximate shear in column AE. Let P1 = 36 kN, P2 = 54 kN, L1 = 8 m, L2 = 6 m, L3 = 7 m, and L4 = 5 m.

Use the cantilever method to determine the magnitude of the approximate axial force in column FI. Let P1 = 22.4 kN, P2 = 37.6 kN, L1 = 10 m, and L2 = 7 m.

Determine the distribution factor DFCE. Let P1 = 15 kips, P2 = 16 kips, L1 = 21 ft, L2 = 11 ft, and L3 = 16 ft. Assume EI = constant.

Determine the deflection at B that would be caused by the concentrated moment if the middle support was not there. Let M = 18,600 lb·in., a = 70.44 in., b = 51.56 in., and EI = 52 × 106 lb·in.2. Note that b = (a + b)[1 – sqrt(3)/3].

Determine the deflection at B that would be caused by the concentrated moment if the middle support was not there. Let M = 10,000 lb·in., a = 70.44 in., b = 51.56 in., and EI = 55 × 106 lb·in.2. Note that b = (a + b)[1 – sqrt(3)/3].

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.