Question

Find the reaction at the support as shown in fig. 

Answer 1

 First draw the FBD of the system as shown in fig. 

Since hinged at point A and Roller at point B. let at point A RAH and RAV and at point B RBV is the support reaction.

∑H = 0

R_AH –5 = 0

R_AH = 5KN

∑V = 0

R_AV + R_BV – 10 – 10 –10 = 0

R_AV + R_BV = 30KN

Taking moment about point A:

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

R_BV = 24KN

Putting the value of RBV in equation (i)

R_AV = 6KN.