Problem 3.57[Difficulty: 2]Given:Liquid concrete poured between vertical forms as shownt0.25 m⋅=H3m⋅=W5m⋅=SGc2.5=(From Table A.1, App. A)Find:(a) Resultant force on form(b) Line of applicationSolution:We will apply the hydrostatics equations to this system.Governing Equations:dpdyρg⋅=(Hydrostatic Pressure - y is positive downwards)FRpcA⋅=(Hydrostatic Force)y'ycIxxAyc⋅+=(Location of line of action)x'xcIxyc⋅+=W= 5 mH = 3 mFRt= 0.25 mLiquid Concrete x’ y’ Assumptions:(1) Static fluid(2) Incompressible fluid(3) Atmospheric pressure acts at free surfaceand on the outside of the form.For a rectangular plate:IxxWH3⋅12=Ixy0=xc2.5 m⋅=yc1.5 m⋅=Integrating the hydrostatic pressure equation:
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