Fluid Statics
Example 1 :
 

A vertical gate of 5 m height and 3 m wide closes a tunnel running full with water. The pressure at the bottom of the gate is 195 kN/m 2 . Determine the total pressure on the gate and position of the centre of the pressure.

Solution :

Given data:   Area of the gate = 5x3 = 15 m 2

The equivalent height of water which gives a pressure intensity of 195 kN/m2 at the bottom.

             h = P/w =19.87m.

           Total force

And    
Fig. Ex1

  [I G = bd 3 /12]

Answer: 2.56MN and 17.49 m.

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