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Application Examples. Feeder Gates for Canal. Gate Valves for Spillway Control. Applications (cont.). Spillway Drum Gates: hollow inside, use buoyancy to control the position of the gate. Hydrostatic Force on an Inclined Plane Surface.

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application examples
Application Examples

Feeder Gates for Canal

Gate Valves for

Spillway Control

applications cont
Applications (cont.)

Spillway Drum Gates: hollow inside, use buoyancy to control the position of the gate.

hydrostatic force on an inclined plane surface
Hydrostatic Force on an Inclined Plane Surface

Assume atmoshperic condition on the other side of the surface

Free surface

q

x

h

y

x

dF

y

example

y’

2m

Example

The square flood gate (2m by 2m) is hinged along its bottom as shown. Determine the moment at the hinge in order to hold the gate steady.

O

hinge

x

y

example cont

y’

2m

Example (cont.)

x

If the square gate is replaced by a circular-shaped gate as shown, recalculate the holding moment.

y

example cont1

45°

Example (cont.)

If the square gate is placed at an angle of 45° as shown, recalculate the holding moment again. Note: the y axis has been redefined to follow the gate for convenience.

2m

y’

y

an interesting observation
An interesting observation

When the gas tank is low, the low fuel light will lit to warn the driver. Have you noticed that the light will not always stay on for a period of time. It turns off when either you accelerate (decelerate) or climb (descend) on a sloped road. Can you explain this phenomenon by using the principle of fluid statics.

Accelerating (climbing)

Decelerating (descending)

Fuel level transducer

slide9

Free surface, p=p

Example: If a container of fluid is accelerating

with an acceleration of ax to the right as shown below,

the free surface of the fluid will incline with an angle a as shown.

h

p+dp

y

p

p+dp

x

p

ax

a

dy

dx

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