The downward forces represent the weights of machinery on the beam shown in (Fig

Question

The downward forces represent the weights of machinery on the beam shown in (Figure 1) . Assume the beam is uniform and has a mass of 320 kg .Calculate FA for the beam. Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.Calculate FB for the beam. Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

Explanation / Answer

1)

using equilibrium of torque about B

FA (AB) = 4300 (BC) + W (BD) + 3100 (BE) + 2200 (FB)

FA (10) = 4300 (8) + (320 x 9.8) (5) + 3100 (4) + 2200 (1)

FA = 6468 N

b)

using equilibrium of force in vertical direction

FA + FB = W + 4300 + 3100 + 2200

6468 + FB = (320 x 9.8) + 4300 + 3100 + 2200

FB = 6268 N

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