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Question: problem 1 write the equation of undampened free torsional vibration...

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Problem 1

Write the equation of undampened free torsional vibration and find the corresponding natural frequency of oscillation for the 12 in. (rigid diaphragm) concrete slab supported on four 10”x18” columns that is shown below. Columns may be assumed to be fixed against rotation at top and bottom. Columns are 14 ft long. Neglect self-weight of the columns and use a unit weight of 150 lb/ft3 for the slab. Use E = 4,000 ksi.

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