Evaluate the reaction at support, Mechanical Engineering

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Evaluate the reaction at support:

Q: Find out the reaction at support as shown in figure given below

1948_Evaluate the reaction at support.png

First draw FBD of the system as shown in the given figure.

As hinged at A and Roller at B. let at A R_A_H and R_A_V and at B R_B_V is the support reaction.

∑H = 0

R_A_H -5 = 0

RAH = 5KN .......ANS

∑V = 0

R_A_V + R_B_V - 10 - 10 -10 = 0

R_A_V + R_B_V = 30KN ...(i)

Taking moment about point A:

∑M_A = 10 × 5 + 10 × 10 - 5 × 6 - R_V_B × 5 = 0

R_BV= 24KN .......ANS

Putting value of RBV in equation (i)

R_A_V = 6KN .......ANS

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