Using the method of consistent deformations, determine the magnitude of the reaction at B. Let w = 29 kN/m and L = 8 m.

Determine the slope at A that would be caused by the concentrated force if the fixed support was a pin support, instead. Let P = 180 lb, a = 56 in., and EI = 38 × 106 lb·in.2.

Assume that P = 13.6 kips and L = 6.0 ft. Determine the reaction at support A. Assume that EI is constant for the beam.

Determine the deflection at B that would be caused by the concentrated moment if the middle support was not there. Let M = 10,700 lb·in., a = 57.74 in., b = 42.26 in., and EI = 77 × 106 lb·in.2. Note that b = (a + b)[1 – sqrt(3)/3].

Using the method of consistent deformations, determine the force in member AD. Let P = 11 kN, L1 = 5 m, and L2 = 3 m. Assume EA = constant.

Determine the magnitude of the bending moment at B. Let w = 2.9 kip/ft, L1 = 21 ft, and L2 = 34 ft. Assume EI = constant.

Determine the magnitude of the bending moment at A. Let w = 2.1 kip/ft, L1 = 16 ft, and L2 = 20 ft. Assume EI = constant.

Determine the beam slope at B. Let w = 1.0 kip/ft, L1 = 38 ft, and L2 = 25 ft. Assume EI = constant.

The analysis of structures involves the use of three fundamental relationships: equilibrium equations, compatibility conditions, and Mohr’s circle.

Determine the reaction moment at A. Let P = 140 lb, a = 54 in., and EI = 230 × 106 lb·in.2.