Question

(1 point) F. The gate shown in the figure is pinned at point A and prevents liquid from escaping the fluid region. The liquid depth H 13.25 m, the gate length L 4.3 m, the gate width into the page W-9.3 m, and the gate is oriented at an angle θ 49.5° above the horizontal plane. If the liquid in the fluid region is water at a temperature of 20°C, determine the force Fr delivered by the stop. Fz MN

Answer 1

As gate is in equilibrium, torque acting on gate about A is zero.

Torque of force Ft = Ft*L (clockwise)

Torque of force due to pressure of liquid =  integral( Fx*x) (anticlockwise)

Fx is force of pressure at distance x from A

Fx = Px*da  

Px is pressure at distance x from a and da = W dx