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In a Nutshell: The magnitude
of the pressure force acting on the plate equals the product of the pressure
at the centroid of the plate times the total area of the plate.
The
location of the resultant pressure
force acts at the center of pressure of the plate. Integration
over
the plate results in the following expressions for the x and y-coordinates
of the center of
pressure
as shown in the figure below. yR =
Ixc / yCA
+ yC and xR =
IxyC / yCA
+ xC
where
yR is the y-coordinate of the center of
pressure
xR is the x-coordinate of the center of
pressure
Ixc is the second moment of inertia of area
with respect to the axis passing thru the centroid
xC is the x-coordinate of the centroid of
the plate
yC is the y-coordinate of the centroid of
the plate
Ixyc is the product of inertia of area with
respect to the x and y axes passing thru the centroid
A
is the total area of the plate
θ is the angle of the
inclined, submerged plate
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