| NN | Force on | rectangular surface | Figure |
|---|---|---|---|
| 1 | Force | \[P_x(\rho ,g,H,h,B)=B\cdot g\cdot \left ( H\cdot h-\frac{h^{2}}{2} \right )\cdot \rho [N]\] | 
|
| 2 | Center of pressure | \[h_D(H,h)=\frac{2\cdot h^{2}-3\cdot H\cdot h}{3\cdot h-6\cdot H} [m]\] | |
Problem A-1. The force of hydrostatic pressure on a rectangular surface
For a rectangular surface: :
\[H=7 m,h=7 m, B=3 m, \rho = 1000 \frac{kg}{m^{3}}, g=9.81 \frac{m}{s^{2}} \]
\[P(\rho ,g,H,h,B)=B\cdot g\cdot \left ( H\cdot h-\frac{h^{2}}{2} \right )\cdot \rho [N]\]
\[P(\rho ,g,H,h,B)=3\cdot 9.81\cdot \left ( 7\cdot 7-\frac{7^{2}}{2} \right )\cdot 1000 = 721035 N \]
\[h_D(H,h)=\frac{2\cdot h^{2}-3\cdot H\cdot h}{3\cdot h-6\cdot H} [m]\]
\[h_D(H,h)=\frac{2\cdot 7^{2}-3\cdot 7\cdot 7}{3\cdot 7-6\cdot 7} = 2.33 m \]