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Unformatted text preview: Chapter 3, Solution 70. Two parts of a water trough of semicircular crosssection are held together by cables placed along the length of the trough. The tension T in each cable when the trough is full is to be determined. Assumptions 1 The atmospheric pressure acts on both sides of the trough wall, and thus it can be ignored in calculations for convenience. 2 The weight of the trough is negligible. Properties We take the density of water to be 1000 kg/m 3 throughout. Analysis To expose the cable tension, we consider half of the trough whose crosssection is quartercircle. The hydrostatic forces acting on the vertical and horizontal plane surfaces as well as the weight of the liquid block are: Horizontal force on vertical surface: N 3679 m/s kg 1 N 1 m) 3 m m)(0.5 2 / 5 . )( m/s 81 . 9 )( kg/m 1000 ( ) 2 / ( 2 2 3 = = = = = = A R g A gh A P F F C ave x H The vertical force on the horizontal surface is zero, since it coincides with the free surface of water. The weight of fluid block per 3m length is N 5779...
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This note was uploaded on 04/07/2008 for the course ES 330 taught by Professor Bohl during the Spring '08 term at Clarkson University .
 Spring '08
 Bohl

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