The formula to calculate the Hydrostatic Force (F) is:
\[ F = \sqrt{(\rho \cdot g \cdot V_T)^2 + (\rho \cdot g \cdot z_s \cdot A)^2} \]
Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces. Density of a material shows the denseness of that material in a specific given area. Volume is the amount of space that a substance or object occupies or that is enclosed within a container. Vertical Depth from Free Surface of Centre of Area is the vertical depth of the center of the area from the surface of the water. Area is the contact area between the plate and fluid.
Let's assume the following values:
Using the formula:
\[ F = \sqrt{(997.3 \cdot 9.80665 \cdot 63)^2 + (997.3 \cdot 9.80665 \cdot 1.75 \cdot 49)^2} \approx 1040660.97465367 \]
The Hydrostatic Force is approximately 1040660.97465367 N.
| Density (kg/m³) | Volume (m³) | Vertical Depth (m) | Area (m²) | Hydrostatic Force (N) |
|---|---|---|---|---|
| 995 | 63 | 1.75 | 49 | 1,038,260.974411307368 |
| 996 | 63 | 1.75 | 49 | 1,039,304.452777549974 |
| 997 | 63 | 1.75 | 49 | 1,040,347.931143792579 |
| 998 | 63 | 1.75 | 49 | 1,041,391.409510034951 |
| 999 | 63 | 1.75 | 49 | 1,042,434.887876277440 |
| 1000 | 63 | 1.75 | 49 | 1,043,478.366242520162 |