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Forces on curved survaces4/29/2023 ![]() ![]() ![]() ![]() Where pCG = patm + γ hCG is pressure at the centroid (center of gravity) of surface BC, In the above integral h varies for each surface element dA on the plate. Similarly, hydrostatic force acting on surface BC reads,įBC = ∫ pBC dA = ∫ ( patm + γ h) dA = patm ABC + γ ∫ h dA A Accordingly, pressure increases with h (see the pressure distribution in the figure). In contrast to surface AB, on surface BC, pressure is not constant, because the surface is inclined and each point on this surface has a different h with respect to the liquid surface. Where AAB is the area of the flat part of the tank bottom. Hydrostatic pressure at surface AB is pAB = patm + γ H, then hydrostatic force on AB is FAB = ∫ pAB dA = ∫ ( patm + γ H ) dA = ( patm + γ H ) AAB A The bottom of the tank includes a flat part AB and an inclined part BC. Hydrostatic forces on plane surface Center of gravity: The center of mass also called the center of gravity (CG), or centroid, is a point in space (or inside the body) where the weight of a body acts as if it were concentrated there.Ĭonsider a tank, as shown below, filled with a liquid with specific weight γ. Hydrostatic Force on Plane Surfaces Hydrostatic Force on Curved Surfaces Buoyancy ![]()
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