While $W = γV$ where $γ$ is the specific weight of the fluid and $V$ is the volume of fluid within the curved surface. In the free body diagram forces $F_1$ and $F_2$ are determined from the relationships to the planar surface and the planar surfaces centroid. To find the hydrostatic force on the curved surface we will need to isolate the curved surface from the problem and draw a free body diagram. In the image below fluid is interacting with a curved surface at the bottom of lets say a tank. To work around this problem we will instead consider the equilibrium of the fluid volume interacting with the curved surface in terms of horizontal and vertical forcesįor example lets take a look at the image below. ![]() This however can be tedious and is not normally simple. It is possible to derive the the resultant hydrostatic force on a curved surface through integration. ![]() As a result you will also need to know how to calculate the hydrostatic for on a curved surface. An example of a curved surface would be the inside of tank and also the inside of pipes. ![]() In the previous article I discussed how to find the hydrostatic forces on a planar surface.
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