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Find the natural frequencies of the water tank considered in Problem 12.22 (Fig. 12.28) using a one-beam element idealization.
Problem 12.22
A water tank of weight W is supported by a hollow circular steel column of inner diameter d, wall thickness t, and height l. The wind pressure acting on the column can be assumed to vary linearly from 0 to Pmax as shown in Fig. 12.28. Find the bending stress induced in the column under the loads using a one-beam element idealization. Data:
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