Using the slope-deflection equations below, determine the beam slope at C. Let P1 = 12 kips, P2 = 13 kips, L1 = 17 ft, L2 = 9 ft, and L3 = 13 ft. Assume EI = constant.MAC = EIθC / 13 + 24.44MCA = EIθC / 6.5 + –46.17MCE = EIθC / 6.5 + 42.25MEC = EIθC / 13 + –42.25
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The beam supports a single live load of 1,500 lb, a uniform…
The beam supports a single live load of 1,500 lb, a uniform live load of 600 lb/ft, a uniform dead load of 150 lb/ft. Determine the maximum positive moment that can be developed at point B. Assume the support at A is a pin and C is a roller. The influence lines for VB and MB are shown, along with the peak values of the influence lines.
Determine the magnitude of the bending moment at C. Let w =…
Determine the magnitude of the bending moment at C. Let w = 2.1 kip/ft and L = 29 ft. Assume EI = constant.
Determine the fixed end moment FEMBA. Let w = 2.2 kip/ft and…
Determine the fixed end moment FEMBA. Let w = 2.2 kip/ft and L = 29 ft. Assume EI = constant.
Use the cantilever method to determine the magnitude of the…
Use the cantilever method to determine the magnitude of the approximate axial force in column AD. Let P1 = 28.5 kN, P2 = 40.2 kN, L1 = 10 m, and L2 = 5 m.
Use Robot to determine the magnitude of the vertical reactio…
Use Robot to determine the magnitude of the vertical reaction force at A. Assume that M = 160 kN·m, P = 65 kN, w = 85 kN/m, and L = 1.8 m. Delete the self-weight of the beam.
Determine the deflection at B that would be caused by the di…
Determine the deflection at B that would be caused by the distributed load if the middle support was not there. Let w = 10 lb/in., a = 56 in., and EI = 35 × 106 lb·in.2.
Use the portal method to determine the magnitude of the appr…
Use the portal method to determine the magnitude of the approximate shear in column BF. Let P1 = 36 kN, P2 = 48 kN, L1 = 8 m, L2 = 6 m, L3 = 6 m, and L4 = 4 m.
Use the cantilever method to determine the magnitude of the…
Use the cantilever method to determine the magnitude of the approximate axial force in column AD. Let P1 = 14.3 kN, P2 = 33.8 kN, L1 = 8 m, and L2 = 6 m.
The method of analyzing beams and frames using moment distri…
The method of analyzing beams and frames using moment distribution was developed by _______.