A uniform fixed-fixed beam of length (l) with a rectangular cross section (w times h) is shown

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A uniform fixed-fixed beam of length $l$ with a rectangular cross section $w \times h$ is shown in Fig. 7.17. Assuming the Young's modulus as $E$ and unit weight as $\gamma$ for the material of the beam and the deflection shape as

\[y(x)=C\left(1-\cos \frac{2 \pi x}{l}\right)\]

Determine the natural frequency of the beam.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 03, 2024 02:20 AM

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A uniform fixed-fixed beam of length (l) with a rectangular cross section (w times h) is shown

Question:

y(x) x FIGURE 7.17 Beam with rectangular section. -W Cross section

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Mechanical Vibrations

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