As seen in the figure below, an object of mass m is attached to a cantilever beam of length L and uniformly distributed mass m. The static deflection curve for the beam is y(x)=(A/2L3).(3Lx2-x3). Calculate the natural frequency of the beam using the Rayleigh method.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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As seen in the figure below, an object of mass m is attached to a cantilever beam of length L and uniformly distributed mass m. The static deflection curve for the beam is y(x)=(A/2L3).(3Lx2-x3). Calculate the natural frequency of the beam using the Rayleigh method.

El, m
m
y(x)
--
Transcribed Image Text:El, m m y(x) --
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