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Elementary Mechanics of Fluids

Learn about pressure distribution, centroid, and center of pressure on surfaces exposed to fluids. Explore examples with plywood forms, concrete, and gates in this elementary fluid mechanics guide.

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Elementary Mechanics of Fluids

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

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

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

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

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

  6. 0.133 Fw,g 2 Fb,g Example (3.73) Find: Force of block on gate F

  7. RA 6 3-0.4641 F Example (3.78)

  8. HW (3.87)

  9. HW (3.92)

  10. Air G 5.01 ft 18 ft Water A Oil SG=0.75 gate 6 ft B 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: Convert negative pressure in tank to ft of water

  11. A Air G 5.01 ft 3.03 ft 4ft 18 ft Fw Water Foil A FB Oil SG=0.75 gate 6 ft B B Example

  12. HW (3.96)

  13. HW (3.102)

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