Elementary Mechanics of Fluids

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Presentation transcript:

Elementary Mechanics of Fluids CE 319 F Daene McKinney Elementary Mechanics of Fluids Hydrostatic Forces on Plane Surfaces

Pressure on Plane Surface Surfaces exposed to fluids experience a force due to the pressure distribution in the fluid Centroid Center of pressure F

Example 2.44 m Concrete (23.6 kN/m3) Plywood Form (2.44m x 1.22m) F

Line of Action of Force Lies below centroid, since pressure increases with depth Centroid Center of pressure F

Example (3.59) F  as H ?  as H ? is constant as H ? T  as H ? T is constant as H ? F T

Find: Force of block on gate Example (3.73) Find: Force of block on gate F Fw,g Fb,g 0.133 2

Example (3.78) F RA 3-0.4641 6

HW (3.87)

HW (3.92)

Example Given: Gate AB is 4 ft wide, hinged at A. Gage G reads -2.17 psi Find: Horizontal force at B to hold gate. Solution: 6 ft A B G Oil SG=0.75 Water Air 5.01 ft 18 ft gate Convert negative pressure in tank to ft of water

Example Fw Foil FB A 3.03 ft 4ft B 6 ft A B G Oil SG=0.75 Water Air gate

HW (3.96)

HW (3.102)