Show steps please 7 A triangular gate with a horizontal base

Show steps please

7. A triangular gate with a horizontal base 1.5 m long and an altitude of 2 m is inclined 45° from the vertical with the vertex pointing upward. The hinged horizontal base of the gate is 3 m below the water surface. What normal force must be applied at the vertex of the gate to keep it closed? 45° fixed wall 3 m hingo a) 9.35 kN b) 10.3 kN c) 10.9 kN d) 11.3 kN

Solution

Option C is correct.

Steps:

1) Find the H

2) find the force = f= unit weight * h*A

3) find the center of pressure.

4) apply moment equation about hinge.

So, you will get 10.3 KN