Use Program17.m to find the natural frequencies of a fixed-fixed stepped beam, similar to the one shown

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Use Program17.m to find the natural frequencies of a fixed-fixed stepped beam, similar to the one shown in Fig. 12.12, with the following data:

Cross sections of elements: $1,2,3: 0.1 \mathrm{~m} \times 0.1 \mathrm{~m}, 0.08 \mathrm{~m} \times 0.08 \mathrm{~m}, 0.05 \mathrm{~m} \times 0.05 \mathrm{~m}$

Lengths of elements: $1,2,3: 0.8 \mathrm{~m}, 0.5 \mathrm{~m}, 0.2 \mathrm{~m}$

Young's modulus of all elements: $70 \mathrm{GPa}$

Density of all elements: $3000 \mathrm{~kg} / \mathrm{m}^{3}$

Figure 12.12:-

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 04, 2024 08:00 AM

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Use Program17.m to find the natural frequencies of a fixed-fixed stepped beam, similar to the one shown

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W W2 W3 W5 W W4 W6 W8 5 cm x 5 cm 7.5 cm x 7.5 cm 2.5 cm x 2.5 cm = 100 cm2 = 80 cm + 13 = 60 cm E = 200 GPa, p = 7800 kg/m FIGURE 12.12 Stepped beam. x, X

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Mechanical Vibrations

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