A free vibration test is being conducted on a frame system as shown in Figure 2. With a jacking force of 90 kN applied, the frame is displaced 5 mm. Soon after jacking, the frame is released from the jack and its motion is recorded. On the first return swing after release, the frame does not come back to the release point but rather only 1 mm towards it. The time recorded between the time of release, and the first return is 1.5 seconds. For the frame system, neglecting the mass of the column : Calculate the mass, m of the slab Determine the damping ratio of the structure Find the minimum number of full-cycles the structure needs to go through such that its deflections are reduced to no more ± 0.5 mm about its equilibrium position.
A free vibration test is being conducted on a frame system as shown in Figure 2. With a jacking force of 90 kN applied, the frame is displaced 5 mm. Soon after jacking, the frame is released from the jack and its motion is recorded. On the first return swing after release, the frame does not come back to the release point but rather only 1 mm towards it. The time recorded between the time of release, and the first return is 1.5 seconds. For the frame system, neglecting the mass of the column : Calculate the mass, m of the slab Determine the damping ratio of the structure Find the minimum number of full-cycles the structure needs to go through such that its deflections are reduced to no more ± 0.5 mm about its equilibrium position.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A free vibration test is being conducted on a frame system as shown in Figure
2. With a jacking force of 90 kN applied, the frame is displaced 5 mm. Soon
after jacking, the frame is released from the jack and its motion is recorded. On
the first return swing after release, the frame does not come back to the release
point but rather only 1 mm towards it. The time recorded between the time of
release, and the first return is 1.5 seconds. For the frame system, neglecting
the mass of the column :
Calculate the mass, m of the slab
Determine the damping ratio of the structure
Find the minimum number of full-cycles the structure needs to go through
such that its deflections are reduced to no more ± 0.5 mm about its
equilibrium position.
Determine whether the minimum number of full-cycles of the structure
as calculated in (c) will increase, decrease or remain the same if the
same jacking force is applied resulting the same initial displacement and
the same displacement after first swing, however the first return period
becomes 2.0 seconds. Other parameters are assumed to be
unchanged. Give reasons for your answer.
u(t)
m
(jacking force),
k
2
k
Figure 2
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