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EAT 213

EAT 213. FLUID MECHANICS AND HYDRAULICS. Chapter 3 (Part 2). PRESSURE AND FLUID STATICS. FLUID STATICS. Fluid statics deals with problems associated with fluids at rest. Hydrostatic  Water. Significant in gravity field. Aerostatic  Gas.

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EAT 213

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  1. EAT 213 FLUID MECHANICS AND HYDRAULICS Chapter 3 (Part 2) PRESSURE AND FLUID STATICS

  2. FLUID STATICS Fluid statics deals with problems associated with fluids at rest Hydrostatic  Water Significant in gravity field Aerostatic  Gas Used to determine the forces acting on floating or sub-merged bodies and the forces developed by devices like hydraulic presses and car jacks. Hydrostatic force on sub-merge plane surface A plate, such as a gate valve in a dam, the wall of a liquid storage tank, or the hull of a ship at rest, is subjected to fluid pressure distributed over its sur- face when exposed to a liquid

  3. The resultant hydrostatic force FR acting on the surface

  4. Centroid of the surface

  5. The point of intersection of the line of action of the resultant force and the surface is the center of pressure

  6. For Po = 0

  7. The centroid and the centroidal moments of inertia for some common geometries

  8. Special Case: Submerged Rectangular Plate

  9. Problem Example 1 A heavy car plunged into a lake and lands at the bottom of the lake on its wheel. The door is 1.2 m high and 1 m wide and the top edge of the door is 8 m below the surface of the water. Determine the hydrostatic force of the door and the location of the pressure center and discuss if the driver can open the door.

  10. Problem Example 2

  11. Solution A rectangular plate hinged about a horizontal axis along its upper edge blocks a fresh water channel. The plate is restrained from opening by a fixed ridge at a point B. The force exerted to the plate by the ridge is to be determined. AssumptionsAtmospheric pressure acts on both sides of the plate, and thus it can be ignored in calculations for convenience. PropertiesWe take the density of water to be 1000 kg/m3 throughout. Analysis The average pressure on a surface is the pressure at the centroid (midpoint) of the surface, and is determined to be

  12. Then the resultant hydrostatic force on each wall becomes The line of action of the force passes through the pressure center, which is 2h/3 from the free surface, Taking the moment about point A and setting it equal to zero gives Solving for Fridge and substituting, the reaction force is determined to be

  13. BUOYANCY AND STABILITY

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