Lecture 06 Notes - EGN 3353C Fluid Mechanics Lecture 6...

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EGN 3353C Fluid Mechanics Lou Cattafesta MAE Dept. University of Florida Lecture 6 Pressure Forces on Plane Surfaces ± Applications: forces on dams, pools walls, ship hulls, etc. ± Need to know o magnitude of the force o point of application (also called center of pressure) ± Common simplification Æ P atm acts on both sides of surface so its effect cancels. We can subtract P atm and just use the gage pressure. ± Let’s look at the hydrostatic force on ONE side of a submerged surface ± Key points: ± Origin “O” at free surface ± Cartesian coordinate system with y along plate at angle θ w.r.t. free surface ± Pressure force acts in – surface normal direction ± Two solution methods: 1. using algebraic formulas derived below, valid for special cases 2. using direct integration ( recommended )
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EGN 3353C Fluid Mechanics Lou Cattafesta MAE Dept. University of Florida ± Algebraic Formulas Method ( ) ( ) 00 0 sin sin R AA A A F PdA P gh dA P gy dA PA g ydA ρρ θ ρθ == + = + =+ ∫∫ o but you will recall from statics that 1 c A ydA y A
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Lecture 06 Notes - EGN 3353C Fluid Mechanics Lecture 6...

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