The purpose of this study was to determine the general frequency expression for a rotating shaft with uniformly distributed weight, supported by two bearings, and carrying a concentrated weight at the free end. The bearing spacing and the ratio of the concentrated weight to the total distributed weight have been used as parameters. The data have thus been reduced to dimensionless form so that the results are generally applicable for this type of machine. Frequencies for the first three modes of vibration have been determined and curves plotted for rapid calculation of these frequencies.

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