please work on this problem for a 4 story building and pleaseconsider the written masses m1,m2,m3 & m4 m1= m m2 = 2m m3= 2m m4 = m the figure only shows two stories, but you need to draw a 4-story building. thank you very much!

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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please work on this problem for a 4 story building and pleaseconsider the written masses m1,m2,m3 & m4 m1= m m2 = 2m m3= 2m m4 = m the figure only shows two stories, but you need to draw a 4-story building. thank you very much!
A 4 -story building frame is modeled as shown in Fig. The girders are assumed to be rigid, and
the columns have flexural rigidities El and El2 with negligible masses. The stiffness of each
column can be computed as
24EI
i = 1,2
For
h1 = h2 = h, and EM = E12 = EI, determine the natural frequencies and
mode shapes of the frame.
mi : m
%3D
Figure:
m2- 2m
mg=
m3= 2m
F2()
El
El
F()-
El
El
77
Transcribed Image Text:A 4 -story building frame is modeled as shown in Fig. The girders are assumed to be rigid, and the columns have flexural rigidities El and El2 with negligible masses. The stiffness of each column can be computed as 24EI i = 1,2 For h1 = h2 = h, and EM = E12 = EI, determine the natural frequencies and mode shapes of the frame. mi : m %3D Figure: m2- 2m mg= m3= 2m F2() El El F()- El El 77
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