The easiest way to determine the resultant hydrostatic force Fr acting on a two-dimensional curved surface is to determine the horizontal and vertical components Fh and Fv separately. The concept of the pressure prism in this case is not much help either because of the complicated shapes involved. Therefore, the magnitude of the resultant force acting on a plane surface of a completely submerged plate in homogeneous fluid is equal to the product of the pressure Pc at the centroid of the surface and the area A of the surface.įor a submerged curved surface, the determination of the resultant hydrostatic force is more involved since it typically requires the integration of the pressure forces that change direction along the curved surface. It is known that, Pc = Pave and Patm can be assumed as Po. The force on the centroid can be calculate by analyzing Figure 2.12. Hydrostatic force on an inclined plane surface completely submerged in a liquid were shown in Figure 2.11 When analyzing hydrostatic forces on submerged surfaces, the atmospheric pressure can be subtracted for simplicity when it acts on both sides of the structure as shown in figure 2.10 On a plane surface, the hydrostatic forces form a system of parallel forces, and we often need to determine the magnitude of the force and it’s point of application, which is called the center of pressure A plate exposed to a liquid, such as a gate valve in dam,the wall of a liquid storage tank,or the hull of a ship at rest, is subjected to fluid pressure distributed over its surface.
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