a. What is the u(t=2 s) function for damped free vibration response for the {=2% ? Calculate the maximum elastic force and elastic displacement of the equivalent SDOF system for the given spectrum below. S(T) is in the units of g. Elb= ∞ W=1000 KN Elastic Acceleration Spectrum ▶N b. C. 3m AN For the given structural system in the figure, determine; What are the natural frequency, Wn and the natural period, Tn? Im 300 mm Irec-12 bh 500 mm Section A-A E-32000 MPa IMPa IN/mm^2 4m Im 3 2.5 S(T)/B 2 1 0.5 0 0 TA 0.2 T₁ 0.4 0.6 0.8 1 T(s) S(7)-1+15- S(T)-2.5 S(7)-2.5 15/7/2 1.2 1.4 08 1.6 (OST ST₂) (T₁
a. What is the u(t=2 s) function for damped free vibration response for the {=2% ? Calculate the maximum elastic force and elastic displacement of the equivalent SDOF system for the given spectrum below. S(T) is in the units of g. Elb= ∞ W=1000 KN Elastic Acceleration Spectrum ▶N b. C. 3m AN For the given structural system in the figure, determine; What are the natural frequency, Wn and the natural period, Tn? Im 300 mm Irec-12 bh 500 mm Section A-A E-32000 MPa IMPa IN/mm^2 4m Im 3 2.5 S(T)/B 2 1 0.5 0 0 TA 0.2 T₁ 0.4 0.6 0.8 1 T(s) S(7)-1+15- S(T)-2.5 S(7)-2.5 15/7/2 1.2 1.4 08 1.6 (OST ST₂) (T₁
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Introduction to earthquake engineering
Transcribed Image Text:For the given structural system in the figure, determine;
What are the natural frequency, Wn and the natural period, Tn?
What is the u(t=2 s) function for damped free vibration response for the =2% ?
Calculate the maximum elastic force and elastic displacement of the equivalent SDOF
a.
b.
с.
system for the given spectrum below. S(T) is in the units of g.
El= ∞
W=1000 kN
Elastic Acceleration Spectrum
3
S(I)-1+15 -
(OSTST,)
2.5
Iree= bh
300 mm
S(T)-25
(T, <TST,)
2
500 mm
3m
S(T)-25
(73 <T)
Section A-A
(sante) (santye
0.10
0.30
E-32000 MPa
IMPA=IN/mm^2
0.5
0.2
0.4
0.6
0.8
1.2
1.4
1.6
1.8
2
TA
T (s)
Im
4m
Im
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