Question: For the one-dimensional bar shown in Figure P16-4, determine the natural frequencies of longitudinal vibration using first two and then three elements of equal length.

For the one-dimensional bar shown in Figure P16-4, determine the natural frequencies of longitudinal vibration using first two and then three elements of equal length. Let the bar have E = 30 Ã— 106 psi, ( = 0.00073 lb-s2 / in4, A = 1 in2, and L = 60 in.
Figure P16-4

60 in.

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