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 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


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