Problem 3.70 - Problem 3.70 Given: Geometry of dam Find:...

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Problem 3.70 [Difficulty: 2] Given: Geometry of dam Find: Vertical force on dam Assumptions: (1) water is static and incompressible (2) since we are asked for the force of the water, all pressures will be written as gage Solution: Basic equation: dp dh ρ g = For incompressible fluid p ρ g h = where p is gage pressure and h is measured downwards from the free surface The force on each horizontal section (depth d and width w) is Fp A = ρ g h d w = (Note that d and w will change in terms of x and y for each section of the dam!) Hence the total force is (allowing for the fact that some faces experience an upwards (negative) force)
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