69_Problem CHAPTER 9

69_Problem CHAPTER 9 - PROBLEM 9.62 A vertical trapezoidal...

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PROBLEM 9.62 A vertical trapezoidal gate that is used as an automatic valve is held shut by two springs attached to hinges located along edge AB . Knowing that each spring exerts a couple of magnitude 8.50 kN m , determine the depth d of water for which the gate will open. SOLUTION ( ) 1.58 m dh =+ From page 491 ss p I y yA = g γ ρ = Ry A = Now yA yA () 11 0.34 m 2.4 m 1.02 m 0.68 m 1.68 m 1.02 m 22 hh   × × ++ × ×    ( ) 3 2.0808 0.99878 m h Also, ( ) 33 2 3 10 kg/m 9.81m/s 2.0808 0.99878 m Rh ( ) 20 413 0.480 N h And ss I ()() ( ) ( ) ( ) 32 2 12 2.4 m 1.02 m
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