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 R_AH  and R_AV and at B R_BV  is the support reaction.

∑H = 0

R_AH  -5 = 0

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

∑V = 0

R_AV  + R_BV  - 10 - 10 -10 = 0

R_AV + R_BV = 30KN                                                                                                                              ...(i)

Taking moment about point A:

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

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

Putting value of RBV  in equation (i)

R_AV = 6KN                                                                       .......ANS