Lecture 6 - Water Resources Engineering g g - Lecture 6...

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Water Resources Engineering -L e c t u r e ±6 Prepared by T. Wagener & P. Reed enn State University Penn State University A tourist boat passes by a section of the Three Gorges dam n the Yangtze river at Sandouping in Hubei province The 1 on the Yangtze river at Sandouping in Hubei province. The dam, which will be the largest in the world when it is completed in 2009, will result in water levels up to 110m higher than current levels, flooding many towns and villages.
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low Processes and Hydrostatic Forces Flow Processes and Hydrostatic Forces 2
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ontent Content ressure and Pressure Forces in Static 1. Pressure and Pressure Forces in Static Fluids elocity Distribution 2. Velocity Distribution 3
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Pressure and Pressure Forces in Static Fluids: Hydrostatic Forces e often need to answer the question: We often need to answer the question: What is the force being exerted on a submerged surface? 4
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ydrostatic Force Hydrostatic Force When a surface is submerged in a fluid, forces develop on the surface due to the fluid. The determination of these forces is important in the design of torage tanks ships dams and other storage tanks, ships, dams, and other hydraulic structures. For fluids at rest we know that the force ust be perpendicular to the surface R F pA = must be perpendicular to the surface since there are no shearing stresses present. We also know that the pressure will vary linearly with depth if the fluid is incompressible. The atmospheric pressures cancel out for the example on the left. ph γ = 5 F R – resulting force, p – uniform pressure on bottom, A – area of bottom, γ – specific weight of fluid, h – depth of fluid
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ydrostatic Force The hydrostatic force on any submerged plane urface is equal to the Hydrostatic Force surface is equal to the product of the plane’s surface area and the ressure acting at the pressure acting at the centroid of the plane surface. 6 Hoover Dam
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ydrostatic Force – eneral Inclined Case Hydrostatic Force General Inclined Case 0 Surface is open to atmosphere θ is angle between surface and axis x=0 at surface y is in line with inclined plane surface The area can have an
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Lecture 6 - Water Resources Engineering g g - Lecture 6...

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