1. Fluid Statics

2. Outline Basic Equation Change of Pressure in a Non-vertical Direction
Pressure-Depth Relationships
Pressure Forces
Buoyancy
Pressure Measurement

3. Variable Gravity Rigid Body Motions Thin Walled Pressure Vessels
Outline (Continued)
Variable Gravity
Rigid Body Motions
Thin Walled Pressure Vessels

4. Objectives
Apply principles of fluid statics to identify, formulate, and solve engineering problems, which involve fluid statics.
Calculate pressure distribution.
Calculate pressure forces.

5. Objectives (Continued)
Calculate buoyancy force, and use it to solve buoyancy problems.
Know pressure-measurement devices.
Solve rigid-body motion problems.
Determine the required thickness for thin-walled pressure vessels.

6. Summary Assumptions: fluid at rest and no shear stresses.
Basic equation
Pressure-depth relationships are derived in the cases of constant density, ideal gas at constant temperature, and isentropic atmosphere.

7. Summary (Continued) Pressure force on a horizontal surface F = P A
Pressure force on a vertical surface
Pressure force on an inclined or curved surface

8. Summary (Continued)
Archimede’s principle: the buoyant force is exactly equal to the weight of displaced fluids.
A floating body displaces a volume of fluid whose weight is equal to its own.
Pressure measurement devices include the simple manometer, the two-fluid manometer, the mercury barometer, the piston and spring pressure gauge, the Bourdon tube and the diaphragm gauge.

9. Summary (Continued) Rigid-body motion Rigid-body rotation
For thin-walled pressure vessels
Standards add safety factors (see handout). In addition a corrosion allowance is needed.