Fluid Statics
Example 9:

The length of a tainter gate is 1m perpendicular to the plane of the paper. Find out the total horizontal force on the gate and the total hydrostatic force on the gate.

Solution :

Horizontal hydrostatic force on the tainter gate

             

where projected area A = 3×1 = 3 m2.

Fig. Ex9

The vertical force is equal to the weight of water displaced by the shaded area.     

The area of the shaded portion-       
The vertical force,             

The resultant force,

Answer:    46.95 KN and     q =

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