Problem 3.70[Difficulty: 2]Given:Geometry of damFind:Vertical force on damAssumptions:(1) water is static and incompressible(2) since we are asked for the force of the water, all pressures will be written as gageSolution:Basic equation:dpdhρg⋅=For incompressible fluidpρg⋅h⋅=where p is gage pressure and h is measured downwards from the free surfaceThe force on each horizontal section (depth d and width w) isFpA⋅=ρg⋅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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