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Evaluate the reaction at support:
Q: Find out the reaction at support as shown in figure given below
First draw FBD of the system as shown in the given figure.
As hinged at A and Roller at B. let at A RAH and RAV and at B RBV is the support reaction.
∑H = 0
RAH -5 = 0
RAH = 5KN .......ANS
∑V = 0
RAV + RBV - 10 - 10 -10 = 0
RAV + RBV = 30KN ...(i)
Taking moment about point A:
∑MA = 10 × 5 + 10 × 10 - 5 × 6 - RVB × 5 = 0
RBV = 24KN .......ANS
Putting value of RBV in equation (i)
RAV = 6KN .......ANS
determine the vertical deflection at end A neglecting shear
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