The column of the water tank shown in the figure below is 300 ft high and is made of reinforced concrete with a tubular cross section of inner diameter of 8 ft and outer diameter of 10 ft. The tank weighs 6 × 105 lb when filled with water. By neglecting the mass of the column and assuming the Young's modulus of reinforced concrete as 4 × 106 psi, determine the following a.The natural frequency and the time period of transverse vibration of the water tank The vibration response of the water tank due to an initial transverse displacement of 10 in and initial velocity of zero You need to first find the stiffness of the beam due to a load at the tip (mass of water in the tank). Use the inner and outer diameter of the beam to calculate the mass moment of inertia for the beam.

 

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