Calculate the force and moment reactions at the bolted base O of the overhead tr

Question

Calculate the force and moment reactions at the bolted base O of the overhead traffice-signal assembly. Each traffic signal has a mass of 44 kg, while the masses of members OC and AC are 84 kg and 72 kg, respectively. Positive answers are to the right, up, and counterclockwise.

Calculate the force and moment reactions at the bolted base O of the overhead traffice-signal assembly. Each traffic signal has a mass of 44 kg, while the masses of members OC and AC are 84 kg and 72 kg, respectively. Positive answers are to the right, up, and counterclockwise 72 kg C 44 kg 44 kg 5.8 m 4.8 m 7.9 m 84 kg Answers: kN kN kN m

Explanation / Answer

Here, Ox = 0 kN

Oy = (44 + 44 + 84 + 72) * 9.81

      =     2.39364 kN    (Direction up)

Mo = - (44 *9.81 * 11.6 + 44 * 9.81 *5.8 + 72 * 9.81 * 4.8)

       =   - 10.9 kN . m             ( direction clockwise)

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