Since roller support at point B, C, so only vertical reactions are there say RB, RC. At point A rod is in contact with the wall that is wall give a contact reaction to the rod say RA. Let rod is inclined at an angle of θ. Rod is in equilibrium position.
∑V = 0 ...........(i)
RB cosθ – RC cosθ + 100 cosθ = 0
RC – RB = 100
Taking moment about point A:
∑MA = 100 × 0.6 – RC × 0.4 + RB × 0.2 = 0
2RC – RB = 300
Solving equation (i) and (ii)
RC = 200
RB = 100
∑H = 0
RA + RB sinθ – RC sinθ + 100 sinθ = 0
RA + 100 sinθ – 200 sinθ +100 sinθ = 0
RA = 0
