The image depicts a simplified single-degree-of-freedom model of a skyscraper, where the mass of the building (105 kg) is supported by two pillars representing the bending stiffness (stiffness k = 3.519 x 106 N/m). During an earthquake, the ground displacement has an amplitude of 0.1 m and a frequency of 7.5 rad/s. Calculate the displacement amplitude of the top of the skyscraper in such an earthquake scenario.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The image depicts a simplified single-degree-of-freedom model of a skyscraper, where the mass
of the building (105 kg) is supported by two pillars representing the bending stiffness (stiffness
k = 3.519 × 106 N/m). During an earthquake, the ground displacement has an amplitude of 0.1
m and a frequency of 7.5 rad/s. Calculate the displacement amplitude of the top of the skyscraper
in such an earthquake scenario.
Transcribed Image Text:The image depicts a simplified single-degree-of-freedom model of a skyscraper, where the mass of the building (105 kg) is supported by two pillars representing the bending stiffness (stiffness k = 3.519 × 106 N/m). During an earthquake, the ground displacement has an amplitude of 0.1 m and a frequency of 7.5 rad/s. Calculate the displacement amplitude of the top of the skyscraper in such an earthquake scenario.
Select one:
O a. X=1,498 m
O b. X 0,498 m
O c. X=0,754 m
O d. X 0,0498 m
k =
m
x(t)
3EI
3EI
13
13
y(t)
Transcribed Image Text:Select one: O a. X=1,498 m O b. X 0,498 m O c. X=0,754 m O d. X 0,0498 m k = m x(t) 3EI 3EI 13 13 y(t)
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