find the fluid force on the vertical side of the tank with a semicircle with a height of 2

Calculating Fluid Force: A Semicircle Example

When dealing with fluid forces, it's essential to understand how they impact various structures. In this article, we'll explore a practical example of calculating the fluid force on the vertical side of a tank with a semicircle.

The problem involves a steel pipeline carrying gas with an internal diameter of 120cm and an external diameter of 125cm. To find the fluid force, we need to calculate the weight of the pontoon and its draught in sea water.

First, let's determine the weight of the pontoon. We know that the density of water is approximately 9810 N/m³. Since the internal and external diameters are given, we can calculate the volume of water displaced by the pontoon:

Weight of pontoon = Weight of water displaced

= ρ x V

= 9810 x π (0.5 x (125 - 120))² x 2

= 1177200 N ≈ 1177.2 KN

Next, we need to find the draught in sea water. The density of sea water is approximately 1025 kg/m³, which corresponds to a weight per unit volume of:

Weight of sea water displaced = ρ x V

= 1025 x π (0.5 x (125 - 120))² x 2.3

= 1177200 N ≈ 1177.2 KN

Now, we can calculate the draught in sea water by dividing the weight of sea water displaced by the weight per unit volume:

Draught (D) = Weight of sea water displaced / ρ

= 1177200 N / (1025 x π (0.5 x (125 - 120))²)

≈ 1.95 m

Finally, let's calculate the load that can be supported by the pontoon in fresh water if the maximum draught permissible is 2.3m.

The total upthrust (Fb) is equal to the weight of water displaced:

Total upthrust (Fb) = Weight of water displaced

= ρ x V

= 9810 x π (0.5 x (125 - 120))² x 2.3

= 1353780 N ≈ 1353.78 KN

The load that can be supported by the pontoon in fresh water is then calculated by subtracting the weight of the pontoon from the total upthrust:

Load that can be supported (P) = Total upthrust - Weight of pontoon

= 1353.78 KN - 1177.2 KN

≈ 176.58 KN

In conclusion, calculating fluid forces involves understanding the principles of buoyancy and weight. By applying these concepts to a practical example like this semicircle tank, we can determine the weight of the pontoon, its draught in sea water, and the load that can be supported by the pontoon in fresh water.

'find the fluid force on the vertical side of the tank with a semicircle with a height of 2'

Find the fluid force on the vertical side of the tank with a semicircle with a height of 2