The displacement function for the simply supported beam of Figure P1 26 is y(x, t) c sin left( frac pi x L ight) cos left( pi 2 sqrt frac E I ho A L 4 t ight) where (c 0 003 mathrm m ) and (t ) is in seconds Determine the kinetic energy of the beam x 3 1 m FIGURE P1 26 y(x, t) E 200 x 10 N m I 1 73...

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The displacement function for the simply supported beam of Figure P1.26 is [ y(x, t)=c sin left(frac{pi

Question:

The displacement function for the simply supported beam of Figure P1.26 is

\[ y(x, t)=c \sin \left(\frac{\pi x}{L}\right) \cos \left(\pi^{2} \sqrt{\frac{E I}{ho A L^{4}}} t\right) \]

where $c=0.003 \mathrm{~m}$ and $t$ is in seconds. Determine the kinetic energy of the beam.

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Mechanical Vibrations Theory And Applications

ISBN: 120532

1st Edition

Authors: S. GRAHAM KELLY

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Question Posted: Apr 26, 2024 06:01 AM

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The displacement function for the simply supported beam of Figure P1.26 is [ y(x, t)=c sin left(frac{pi

Question:

x 3.1 m FIGURE P1.26 y(x, t) E 200 x 10 N/m I 1.73 x 10-7 m4 p = 7400 kg/m A-1.6 104 m

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Mechanical Vibrations Theory And Applications

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