Fluid Statics
Example 14:

The hemispherical dome as shown in the figure weighs 25 kN and holds water. The dome is fixed to the floor by 3 bolts equally spaced. Find the force on each bolt.

Solution :

The total vertical upward force can be calculated by the weight of imaginary volume of water held over the structure.

Volume of the imaginary cylinder

      

Fig. Ex14(b)
Fig.Ex14(a)

Now, the volume of the bottom hemispherical 

Volume of the shaded part 

Imaginary Volume of the water over the dome

Total upward force F

Three bolts are there, force on each bolt is F/3.

Answer:  

Prev