Explanation Given information: The paper width is b. Assume that the horizontal force acting on the panel is F H and can be given as below. F H = γ A h 1 In above equation, γ - Specific weight of water A - Area which the horizontal force is acting on h 1 - Distance between the top water level to the center of gravity of the panel (CG) Assume that the vertical force acting on the panel is F v and can be given as below. F v = F B − F A = ρ g h ( A r e a o f A C D E B − A r e a o f A C D E ) In above equation, ρ - Density of the liquid h - Width of the panel Calculation: In both cases, the center of pressure is same. Therefore the horizontal hydrostatic force is same in both cases. To find the horizontal force, According to the explanation given, we use F H = γ A h 1 = ρ g ( d b ) ( h + d 2 ) To find the net vertical force, According to the given explanation, F v = F B − F A

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.94P

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Comparison of analytical formula for both vertical and horizontal forces in both cases and the reasons of one of them being larger.

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Chapter 2, Problem 2.93P

Chapter 2, Problem 2.95P

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Fluid Mechanics

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