Determine the center deflection at which yielding occurs, Civil Engineering

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Determine the center deflection at which yielding occurs

A circular steel shaft which is 16 in. long and with a diameter of 1.2 in. is known to yield when subjected to a twisting moment of 16 kip-in. Instead, the rod is simply supported, and subjected to a transverse force in the center. Determine the center deflection at which yielding occurs. Explain whether beam theory will give a good prediction of the center deflection.

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