Hydraulics: Hydrostatic Force: Plane Surface - Concept and Example

Situation 1 A Circular gate with radius of 300 mm is submerged in water. The top of the gate is flushed with water surface. a. Calculate the Total force acting on the gate in N b. Location of the Force from the centroid of the gate in mm. c. Location of the Force from the top of water in mm. Situation 2 A Rectangular gate with 1.60 m wide and 2.4 m high has water on one side and inclined 45 degrees with the horizontal. Water is 1.50 m above the top of the gate. submerged in water. a. Hydrostatic Force b. Location in meters of the center of pressure from the top of the gate. c. if the gate is hinged at the top, What force in kN, normal to the gate is needed at the bottom to open the gate. Neglect the weight of the gate. Situation 3 A Rectangular gate with 1.2 m width and 2.4 m high is 50% submerged in water. a. Calculate the Total force acting on the gate in N b. Location of the Force from the centroid of the gate in mm. c. Location of the Force from the top of water in mm.