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Evaluate the reactions at hinge and roller support:
Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactions at hinge and roller support.
Sol.: Hinged at A and Roller at point B, FBD of beam is as shown in the figure given below
∑H = 0
RAH -5000cos30° = 0
RAH = 4330.127N .......ANS
∑V = 0
RAV + RBV -5000sin30° = 0
RAV + RBV = 2500N ...(i)
By taking moment about B:
∑MB = RAV × 5 - 5000 sin30° × 2.5 = 0
RAV = 1250N .......ANS
From the equation (i)
RBV = 1250N .......ANS
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