Problem 3.76 - Problem 3.76 [Difficulty: 3] Given: Dam with...

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Problem 3.76 [Difficulty: 3] Given: Dam with cross-section shown. Width of dam b 160 ft = Find: (a) Magnitude and line of action of the vertical force component on the dam (b) If it is possible for the water to overturn dam Solution: We will apply the hydrostatics equations to this system. Governing Equations: dp dh ρ g = (Hydrostatic Pressure - h is positive downwards from free surface) F v A y p d = (Vertical Hydrostatic Force) F H p c A = (Horizontal Hydrostatic Force) x' F v F v x d = (Moment of vertical force) A x’ x F H y y’ h’ F V B h' h c I xx h c A + = (Line of action of vertical force) Σ M z 0 = (Rotational Equilibrium) Assumptions: (1) Static fluid (2) Incompressible fluid (3) Atmospheric pressure acts at free surface of water and on outside of dam Integrating the hydrostatic pressure equation: p ρ g h = Into the vertical force equation: F v A y p d = x A x B x ρ g h b d = ρ g b x A x B x Hy () d =
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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Problem 3.76 - Problem 3.76 [Difficulty: 3] Given: Dam with...

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