A 1-m wide by 2-m gate in the vertical wall of a reservoir functions like a door. It is hinged at A and B and latched at C. Determine the forces at A, B, and C when the water surface is 700 mm above the top of the gate.
Hinge A is 0.3 m below the top-left corner of the door
Hinge B is 0.3m above the bottom-left corner of the door
Latch C is in the middle of the right edge of the door.
Force at A 3.57kN
Force at B 13.10kN
Force at C 16.68kN)
2. Homework Equations
F = (rho)(g)(hcg)A gives the resultant force on the full door
Ycp = Ycg + (Icg/(Ycg. A)) gives the center of pressure
3. The Attempt at a Solution
The resultant force was calculated by the above equations but I am struggling to find forces at the particular points A, B and C
Any help will be greatly appreciated