Problem 2- Tor the Cantilevered beam shown, the displacement shape in Øre) =( X= natural frequenay using Ray leigh's method." unit length = 1, E =1, I=10, l=10,l, =5, As mass of the beam is lumped at point B so the bear %3D is mass less. Cross sectumal avea A

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Problem 2-
For the Cantilevered beam shown, the assumed
displacement shape is Øcx) =( ( Derive the
natural frequency wusing Rayleigh's
unit lingth = 1, E = 1, I =l0, l= 10,l, =5, Assume the entine
%3D
methud. e= mars per
mass of the beam is lumped at point B so the beam from A to B
is mass less. Cross sectimal avea fA
BC -0.1 and modulus K
A
E, I,L,e
-Bar
elastialy is also E=.
b) Now model the system as a mass-spring sysbm with m=
R=Keg and Ŝ=0,1 for this madel. If a force of f(t)=Fo sinut
where w=1 and F = 10 is apoled an the mass, how much is the
maximum normal streas developed in bar BC?
m=megr
Transcribed Image Text:Problem 2- For the Cantilevered beam shown, the assumed displacement shape is Øcx) =( ( Derive the natural frequency wusing Rayleigh's unit lingth = 1, E = 1, I =l0, l= 10,l, =5, Assume the entine %3D methud. e= mars per mass of the beam is lumped at point B so the beam from A to B is mass less. Cross sectimal avea fA BC -0.1 and modulus K A E, I,L,e -Bar elastialy is also E=. b) Now model the system as a mass-spring sysbm with m= R=Keg and Ŝ=0,1 for this madel. If a force of f(t)=Fo sinut where w=1 and F = 10 is apoled an the mass, how much is the maximum normal streas developed in bar BC? m=megr
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