2a. A rectangular gate that is 2 m wide and 8 m high is located at the end of a rectangular passage that is connected to a large open tank filled with water. The gate is hinged at its bottom and held closed by a horizontal force FH acting at the center of the gate. 4 m Fi 4 m Hinge a) Calculate the resulting force on the gate for h=9 m. b) How deep below the water level lies then the center of pressure? c) Calculate the torque the water causes in the hinge. d) Calculate the maximal value for h for which the gate stays closed, if FH = 4000 kN. Hint: The second moment of a rectangle with width a and height b is: Igc = - Bab. 1 2b. A rectangular gate with a width of a = 2 m and a height of b = 6 m on the side of a tank is held in place by a force F. The water height h in the tank is 10 m. Water Hinge a) Calculate the resulting force on the gate. h Gate b) How deep below the water level lies the center of pressure? F c) Calculate the torque the water causes in the hinge. d) Calculate the force F needed to keep the gate closed if the force is applied in a height of x = 2.5 m. Hint: The second moment of a rectangle with width a and height b is: Ixe = ab3. =