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A one-storey building is subjected to a free-vibration test. During the test, it was observed that 300 kN force was required to displace the roof of the structure by 5 mm. After the instantaneous release of the force, the maximum displacement at the return swing was 6 mm, and it took 2.0 sec after. Compute: (a) Effective stiffness and mass of the structure (b) Frequency of vibration; and (c) Damping Coefficient.

A one-storey building is subjected to a free-vibration test. During the test, it was observed that 300 kN force was required to displace the roof of the structure by 5 mm. After the instantaneous release of the force, the maximum displacement at the return swing was 6 mm, and it took 2.0 sec after. Compute: (a) Effective stiffness and mass of the structure (b) Frequency of vibration; and (c) Damping Coefficient.

Structural Analysis
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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A one-storey building is subjected to a free-vibration test. During the test, it was observed that 300 kN force was required to displace the roof of the structure by 5 mm. After the instantaneous release of the force, the maximum displacement at the return swing was 6 mm, and it took 2.0 sec after. Compute: (a) Effective stiffness and mass of the structure (b) Frequency of vibration; and (c) Damping Coefficient. K
Transcribed Image Text:A one-storey building is subjected to a free-vibration test. During the test, it was observed that 300 kN force was required to displace the roof of the structure by 5 mm. After the instantaneous release of the force, the maximum displacement at the return swing was 6 mm, and it took 2.0 sec after. Compute: (a) Effective stiffness and mass of the structure (b) Frequency of vibration; and (c) Damping Coefficient. K
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