Fluid Statics
Example 13:

Determine the total hydrostatic force on the curved surface as shown in the figure. The width of the curved portion is 2 m perpendicular to the paper.

Solution :

Horizontal force on the surface
          
Where A is the vertically projected area

Now, the area covered by the curve
             

Volume of water held over the surface = 4×10 = 40 m3.
Fig. Ex13

Vertical force will be the weight of water held by the curved surface. Then,

Answer: F = 394.4 kN.

 
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