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Unformatted text preview: 12. A gate having the shape shown is located in the vertical side of an open tank containing water. The gate is mounted on a horizontal shaft. (a) When the water level is at the top of the gate, determine the magnitude of the fluid force on the rectangular portion of the gate above the shaft and the magnitude of the fluid force on the semicircular portion of the gate below the shaft. (b) For this same fluid depth, determine the moment of the force acting on the semicircular portion of the gate with respect to an axis which coincides with the shaft. (c) Clearly sketch the hydrostatic pressure distribution on the vertical gate. Shaft 6 m 3 m Fluid Side view of gate Rectangular part F rect =gAh c =(999)(9.807)(6)(6)(3)=1058097 N Semicircular part ) m 3 ( 3 4 m 6 R 3 4 m 6 h c + = + = =7.273 m I xc =0.1098R 4 N 007344 1 ) 273 . 7 ( (3) 2 1 7) (999)(9.80 gAh F 2 c semi = = = m 359 . 7 ) 273 . 7 ( ) 3 ( 2 0.1098(3) m 273 . 7 Ay I y y 2 4 c xc c semi = + = + = Moment acting on semicircular part M=F semi (y semi-6 m)=(1007344)(7.359-6) M=1369483 Nm =1.37 MNm 13. A 3-m long curved gate is located in the side of a reservoir containing water as shown....
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This note was uploaded on 08/01/2008 for the course MAE 308 taught by Professor Danby during the Fall '08 term at N.C. State.
- Fall '08