Example of support reaction, Mechanical Engineering

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Example of support reaction:

A fixed crane of 1000Kg mass is to lift 2400Kg crates. It is held in place by pin at point A and a rocker at point B. the C.G. is located at G. Determine components of reaction at point  A and B after drawing free body diagram.

 

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Sol.: Since the two reaction (Vertical and Horizontal) at pin support that is, RAH and RAV. And at rocker there will be only one Horizontal reaction that is,RBH  .

First draw FBD of the Jib crane as shown in the given figure. The whole system is in equilibrium. Take moment about the point A

∑MA = - RBV  × 1.5 + 1000 × 2 + 2400 × 6 = 0

RBH = 10933.3Kg                                      .......ANS

∑H = 0

RAH  + RBH = 0

That is,                  RAH = - RBH

RAH = -10933.3Kg                                   .......ANS

∑V = 0

RAV  - 1000 - 2400 = 0

RAV = 3400Kg                                            .......ANS


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