Plz do it correctly asap. 4. A frame consists of four light, elastic vertical members and two rigid horizontal members,as shown in Figure 2, and can execute swaying motion in its own plane. The masses ofthe horizontal members are m1 =1350 kg and m2 =900 kg. With flexural deformationsof the vertical members only permitted, the natural frequencies of vibrations are found tobe 4.91 Hz and 12.05 Hz respectively with corresponding modeshape vectorsand{7}The frame is initial at rest, and is then subjected to a horizontal transient forceapplied to mass m2 given by900 Nfor 0 0.2sObtain expressions for the displacements of mị and m2 for t < 0.2 s. Explain how youwould calculate the displacements for t > 0.2 s.92(1)f2(0)m29,(1)m1Figure 2: A Two Degrees of Freedom Model of Frame.

Given:-m1=1350kgm2=900kgnatural frequencies =4.91Hz and 12.05 HzTo find:-expressions for…

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Engineering

Civil Engineering

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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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Plz do it correctly asap.

4. A frame consists of four light, elastic vertical members and two rigid horizontal members,
as shown in Figure 2, and can execute swaying motion in its own plane. The masses of
the horizontal members are m1 =
1350 kg and m2 =
900 kg. With flexural deformations
of the vertical members only permitted, the natural frequencies of vibrations are found to
be 4.91 Hz and 12.05 Hz respectively with corresponding mode
shape vectors
and
{7}
The frame is initial at rest, and is then subjected to a horizontal transient force
applied to mass m2 given by
900 N
for 0<t< 0.2s
f2(t) = {
for t > 0.2s
Obtain expressions for the displacements of mị and m2 for t < 0.2 s. Explain how you
would calculate the displacements for t > 0.2 s.
92(1)
f2(0)
m2
9,(1)
m1
Figure 2: A Two Degrees of Freedom Model of Frame.

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