The figure shows a L shaped rigid bar B C D. Segment B C has a height of 0.4 meters and segment C D has a height of 0.6 meters. The bar is pinned at C and supported at B by a 2 meter long horizontal rod A B with a diameter of 25 millimeters. The rod is pinned to a bracket on a wall at the point A. A 50 kilo newton load acts at the midpoint between C and D and a 15 kilo newton load acts at point D. The reaction forces at C are C subscript x and C subscript y directed to the right and directed vertically up respectively. The reaction force at B is F subscript A B directed to the left along the rod.

Begin by considering a free-body diagram of rigid bar BCD.

Write three equilibrium equations...

 Fx=-FAB+Cx=0           Fy=Cy-50 kN-15 kN=0 MC=(FAB)(0.4 m)-(50 kN)(0.3 m)-(15 kN)(0.6 m)=0

and solve for FAB, Cx, and Cy...

FAB=60 kN       Cx=60 kN       Cy=65 kN

The resultant force in the pin is therefore:

FC=(60 kN)2+(65 kN)2 =88.46 kN