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Spring Semester 201 EGCE 302 Dynamic Problem 2 30 Points A cantilever -type bridge has been tested to determine the dynamic properties . The testing...

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Spring Semester 201EGCE 302 DynamicProblem 230 PointsA cantilever -type bridge has been tested to determine the dynamic properties . The testing involved pushingbridge deck with an actuator with a dynamic load : F = Fmax Sin ( 5t ) for 10 seconds After the dynamic load stophe bridge freely vibrated and the measured amplitudes in 2 consecutive cycles were 4 . 71 " and 3 .9 " . The monof elasticity , E . was determined to be 4 ,000 kai ( 4000 kip / in ) . Determine the following1 . The gross moment of inertia of the bridge column2 . The effective moment of inertia provided that the effectiveness coefficient for the cracking is equal3 . The stiffness of the cantilever bridge column4 . The number of degrees of freedomThe natural period of the bridgeThe damping ratioThe critical damping coefficientThe damping coefficient of the bridgeThe maximum applied dynamic force , Fmax so that the maximum dynamic displacement is 6 in10 . Write the Equation of MotionWeight = 600 kips
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