HYDRAULICS- Total Hydrostatic Pressure

Center of Pressure

The point in the immersed body through which the resultant pressure of the liquid may be taken to act

Cp is either AT cg or BELOW cg

Relation between centrifugal (cg) and the center of pressure (cp) of a plane submerged in a liquid

cp if AT cg

Location of cp for horizontal plane

cp is BELOW cg

Location of cp for vertical plane

cp is BELOW cg

Location of cp for inclined plane

Total Pressure / Total Hydrostatic Pressure

Area multiplied by the intensity of pressure at the centroid

P = γhA

Total hydrostatic pressure or total pressure force on plane area formula

Vertical distance of cg below the liquid surface

Height involved in the formula for total hydrostatic pressure

Horizontal component

The _________ of the hydrostatic force is on any surface is equal to the normal force on the vertical projection of the surface

Horizontal component

Acts through the center of pressure for the vertical projection

Vertical component

Equal to the weight of the volume of the liquid above area

Vertical component

Passes through the center of gravity of the volume

Below the centroid

Location of the center of pressure on an inclined plane

No

Can center of pressure for a vertical plane submerged surface be ever be above center of gravity

Horizontal

In a _______ submerged plane surface, pressure at every point remains the same

Inclined

For an _______ plane, the pressure intensity at every point differs

Dependent

The magnitude of total pressure and center of pressure is _______ on the shape of the submerged plane surface.

Linear

What is the variation of total pressure with depth for any submerged surface if we neglect variation in the density?

e

Refers to the location of the hydrostatic pressure or the distance of the center of press from the center of gravity

e = I / Ay

Location of the total hydrostatic pressure formula

Horizontal

e = cg when the plane is _________

Submerged area

Area considered when computing for the hydrostatic pressure

y

Distance of the cg below the liquid surface along the body

y

Equals to the vertical distance of the cg below the liquid surface, divided by sinθ

Pi or vertical component

Equals to the specific weight times the Volume