CVE_240-Assignement_3_CHAPTER_3__Solutions

# CVE_240-Assignement_3_CHAPTER_3__Solutions - American...

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C Q.1) Gate AB in Figure 1 is 2m The water is at 10 o C. If the wate a) The force on stop B b) The reactions at A (with z Solution: The centroid of AB is 0.75m belo the total hydrostatic force on the F h CG A gate = (9.810 )(2.75)(1. The C.P. is below the centroid by This is shown on the freebody of Σ M A =0 F* The reactio Σ F x =0 80. Σ F x =0 A z = Q.2) Determine the resultant forc A and B shown in Figure 2. Pan At what points do these forces ac Solution: F h CG A gate =9810*(1.5+1)(2* F h CG A gate =9810*(1+1*Sin4 * 2 ( * 75 . 2 5 . 1 * 2 75 . 2 A y I y y 3 _ _ _ cp + = + = American University of Sharjah Civil Engineering Department CVE 240 – FLUID MECHANICS Assignment 3_SOLUTIONS wide in to the paper, hinged at A, and restraine er depth h=3.5 m, compute zero gate weight). (Answers 44.2 ow A, hence the centroidal depth is h -1.5+0.75 gate is .5*2) = 80.93kN y the amount f the gate. We find force B x with moments about *0.82-Bx*1.5=0 Bx=44.24kN on force at A then follow from equilibrium of forces .93-44.24-A x =0 Ax=36.7kN =0 ces due to the water acting on the submerged rec nel A has an area of 2m x 1m, and panel B an are ct? (Answers 49050 N-2.63m & *1)=49050 N 45)*(2*1.5)=50240 N m 82 .

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