FR = sin = (γ h )A γAyc θ c Where hc  : Pressure at the centroid = (Pressure at the centroid) Area  Magnitude of a force on an INCLINED plane  Dependent on Area, and Depth of centroid Perpendicular to the surface (Direction) i) Position of FR on y-axis : y coordinate of the point of action of FR ‘yR’ Moment about x axis: FR yR (Ayc sin )  A A A yR sin sin     y dA y dA ydF h dA I I A 2 h  y2dA  = R = where A x : h A h A c c   Ix Ixc Ayc2 2nd moment of areaor, by using the parallel-axis theorem, (The center of pressure below the centroid)
FR = Where  γAyc sin θ = (γ h c )A hc : Pressure at the centroid = (Pressure at the centroid)  Area Magnitude of a force on an INCLINED plane Dependent on  Area, and Depth of centroid Perpendicular to the surface (Direction) i) Position of FR on y-axis ‘yR’ : y coordinate of the point of action of FR Moment about x axis: FR yR  (Ayc sin ) yR  A ydF  A sin y dA   sin A y dA  h R h 2 dA = A h c A I I = x where h c A  A y2dA : 2nd moment of areaor, by using the parallel-axis theorem, Ix  Ixc  Ayc2 (The center of pressure below the centroid)
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