P1 P3 P₁ -5m B B B 3 m 3 m 3 m I=200000 cm³ Ib-160000 cm²* E=30000 MPa m=25 tons

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter6: Fundamental Dimensions And Units
Section: Chapter Questions
Problem 36P
Question

A 3-story frame is given. Determine the equation of motion by using static condensation

a) The equation of motion for free vibration,
b)  Modal frequencies and the modal vectors,
c) Use the Raylaigh Damping method to construct the damping matrix. Consider the first and second modes with 0.05 damping ratios for each.

 
P1
P3
P₁
-5m
B
B
B
3 m
3 m
3 m
I=200000 cm³
Ib-160000 cm²*
E=30000 MPa
m=25 tons
Transcribed Image Text:P1 P3 P₁ -5m B B B 3 m 3 m 3 m I=200000 cm³ Ib-160000 cm²* E=30000 MPa m=25 tons
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