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 dof water for which the gate will open. SOLUTION ( )1.58 mdh=+From page 491 sspIyyA′=gγρ=RyA=Now yAyA=Σ()110.34 m2.4 m1.02 m0.68 m1.68 m1.02 m22hh××++××( )32.08080.99878 mhAlso, ( )332310 kg/m9.81m/s2.08080.99878 mRh( )20 4130.480 NhAnd ssI′()()()()()322122.4 m 1.02 m
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