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Published byClarissa claudia Baylis Modified over 4 years ago

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**Application Examples Feeder Gates for Canal Gate Valves for**

Spillway Control

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

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**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

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Hydrostaic forces O FR O

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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. 2m y’ O hinge x y

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Example (cont.) 2m y’ x If the square gate is replaced by a circular-shaped gate as shown, recalculate the holding moment. y

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Example (cont.) 45° 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

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**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

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Free surface, p=p h 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. p+dp y p x p p+dp ax a dy dx

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