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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.
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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