Consider the L-shaped beam illustrated in Figure 3. The beam is welded to the wa

Question

Consider the L-shaped beam illustrated in Figure 3. The beam is welded to the wall at A, the arm AB extends in the positive z direction, and the arm BC extends in the negative x direction. A force P is applied in the negative y direction at C The lengths of arms AB and BC are a = 20 cm and b = 30 cm, respectively, and the magnitude of the applied force is P = 120 N. Assuming that the weight of the beam is negligibly small as compared to the magnitude of the applied force, determine the reactions at the fixed end of the beam.

Explanation / Answer

taking beam as reference, the fbd of beam shows only force acting is reaction force and applied force in y direction, Ny(reaction at A)= 120 N (upward) Nx(reaction at A)= 0 N moment at A= 120*(.20^2+.30^2)^1/2 = 43.266 N.m (counterclockwise)

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