6 min solution Hydraulics problem 9

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PEin2010

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Reference: Breadth problems 6 minute solutions Water Resources / Hydraulics

Can anyone tell me where the equation for the Force at the top of the hinge comes from? Please see attached.

Untitled.png

 
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PEin2010 said:
Reference: Breadth problems 6 minute solutions Water Resources / Hydraulics
Can anyone tell me where the equation for the Force at the top of the hinge comes from? Please see attached.
Click to expand...
Can you post the entire problem?

 
PEin2010 said:
Reference: Breadth problems 6 minute solutions Water Resources / Hydraulics
Can anyone tell me where the equation for the Force at the top of the hinge comes from? Please see attached.
Click to expand...
It's just a statement of moment equilibrium (taking moments about the top of the gate, where the hinge is):

Resultant fluid force F x distance from top of gate to center of pressure = Closing force at bottom of gate x diameter

Just a situation specific application of sum moments = 0

 

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