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

ID: 1848055 • Letter: C

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 is applied in the negative y direction at B. The lengths of arms AB and BC arc 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 a t 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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