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Old Nov 12th 2014, 09:35 AM   #1
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Fluid Mechanics Problem: Hydrostatic Pressure

Ok so ive done the first 2 question for this, the sketch and the resultant force, for my force i got a value of 3139.2N. But i cant figure out how to work out the centre of pressure? any help would be greatly appreciated. Im not looking for someone to tell me the answer. I just want to be helped to understand on how to get to the final answer. Any links will be very helpful. thank you
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Old Nov 12th 2014, 03:04 PM   #2
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I think this is perhaps best explained the long way...
The pressure on the window obviously varies from top to bottom, less at the top more at the bottom.
Consider the window in small horizontal strips.
You can readily work out the pressure on each strip.
Start 2 sums adding the pressures together, one starting from the top and the other starting from the bottom.
The higher pressures at the bottom will cause the sum starting at the bottom to increase more rapidly than the sum starting from the top.
Where the two sums reach the same value (somewhere closer to the bottom than the top) is the centre of pressure point you are after.

As you consider this and look at the geometry you will probably realise there is a shorter way to find the answer purely based on the geometry.
However jumping straight to the short-cut would perhaps mask the fuller meaning of the process.
Also this long-hand way can be extended to much more complex shapes, which might not be so amenable to short-cuts.
You have GOT to Laugh !
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