Find the natural frequencies of vibration of the beam considered in Problem 12.7 using one finite element (Fig. 12.19).

Data From Problem 12.7:-

Find the stiffness and mass matrices of the beam supported on springs as shown in Fig. 12.19. Model the beam using one finite element. Assume the material of the beam as steel with a Young's modulus of \(207 \mathrm{GPa}\) and weight density of \(7650 \mathrm{~N} / \mathrm{m}^{3}\). Neglect the weights of the springs.

Transcribed Image Text:

1000 N 3 Y 60 4' 60 7 5 X 1 1500 N 1 m + 1 m- FIGURE 12.18 Seven-member planar truss. 500 N 6 60 2