The 400.000 gallon water tower below has four 50-foot steel columns (H = 50 feet

Question

The 400.000 gallon water tower below has four 50-foot steel columns (H = 50 feet). When the tank is full it is observed that the natural period is approximately 1.8 seconds. When the tank is half full, the natural period is approximately 1.3 seconds. Using this information, find the approximate weight of the tank and the stiffness of the four columns. Use 8.3 lbs/gallon as the density of water and you may neglect the weight of the columns. Assuming that the columns are connected to the tank so that they do not rotate at the top, find the moment of inertia for the columns.

Explanation / Answer

For got to answer part b...Here it is... For cantilevered beam, k = 3EI/L^3 For steel, E = 29*10^6 psi Thus, 10559313 = 3*29*10^6*32.2*12^2*I/50^3 Inertia I = 3.272 ft^4

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