Problem 3.57

# Problem 3.57 - Problem 3.57[Difficulty 2 Given Liquid...

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Problem 3.57 [Difficulty: 2] Given: Liquid concrete poured between vertical forms as shown t 0.25 m = H3 m = W5 m = SG c 2.5 = (From Table A.1, App. A) Find: (a) Resultant force on form (b) Line of application Solution: We will apply the hydrostatics equations to this system. Governing Equations: dp dy ρ g = (Hydrostatic Pressure - y is positive downwards) F R p c A = (Hydrostatic Force) y' y c I xx Ay c + = (Location of line of action) x' x c I xy c + = W = 5 m H = 3 m F R t = 0.25 m Liquid Concrete x’ y’ Assumptions: (1) Static fluid (2) Incompressible fluid (3) Atmospheric pressure acts at free surface and on the outside of the form. For a rectangular plate: I xx WH 3 12 = I xy 0 = x c 2.5 m = y c 1.5 m = Integrating the hydrostatic pressure equation:
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