please work on this problem for a 4 story building and pleaseconsider the written masses m1,m2,m3 & m4m1= mm2 = 2mm3= 2mm4 = mthe 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, andthe columns have flexural rigidities El and El2 with negligible masses. The stiffness of eachcolumn can be computed as24EIi = 1,2Forh1 = h2 = h, and EM = E12 = EI, determine the natural frequencies andmode shapes of the frame.mi : m%3DFigure:m2- 2mmg=m3= 2mF2()ElElF()-ElEl77

Solution A 4 story building frame is modeled. The girder is assumed to be rigid the columns have…

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!

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

Section: Chapter Questions

Problem 1P

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Question

100%

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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