Question $3-$ For the one$-$dimensional bar shown in figure, determine the natural frequencies of longitudinal vibration using three elements of equal length. Let the bar have $E=30{10}^6,=0\mathrm{.}00073lb-\frac{s^2}{i}{n}^4,A=1i{n}^2,$ and $L=60in.$

NOTA:

Fatec alo loandos

GOVERNO do estado $$

Solution:

$3$ equal lenght alamonto

Question $2-$ Using two beam elements, find the natural frequencies and mode shapes of the uniform fixedfixed beam shown in figure.

Solution: