rfstttresponse of structures to earthquake ground motionsce573/documents/response spectru… · 0.3...
TRANSCRIPT
R f St t tResponse of Structures to Earthquake Ground Motionsq
Response of a SDOF with 1.0 sec natural periodDamping, = 5%
0.0
Absolute acceleration response (m/s²)6.0
maximum acceleration 5.075 m/s² -6.0
Relative velocity response (m/s)1.0
maximum velocity 0.904 m/s
0.0
-1.00.2 maximum displacement 0.128 m
Relative displacement response (m)
-0 2
0.0
0.0
4.0Base acceleration (m/s²)
"El Centro“, 1940, Record N-S Comp.
0.2
-4.0
El Centro , 1940, Record N S Comp.
0 5 10 15 20 25Time (s)
0.3T = 3.0 s
max 0.255 m
Displacement Response Spectrum
0
0.3-0.3
0
0 3
T = 2.5 s
0 3
0
0.3-0.3
0
max 0.176 mT = 2.0 s
max 0.274 mmax 0.274 mmax 0.274 m
DISPLACEMENT SPECTRUMEL CENTRO RECORD
-0.3
0
0.3-0.3
T = 1.5 smax 0.106 m
0.30
DISPLACEMENT(m)
EL CENTRO RECORDDamping 5%
0 3-0.3
0
0.3
T = 0 5 s
T = 1.0 smax 0.128 m
0.000.050.100.150.200.25
EL CENTRO RECORDAcceleration in (m/s²)4
-0.3
0
0.3 T = 0.5 smax 0.051 m
Computation of the displacement response
PERIOD (s)0.0 0.5 1.0 1.5 2.0 2.5 3.0
Acceleration in (m/s )
-4-202
0 5 10 15 20 25 TIME (s)
displacement response spectrum
Displacement Response Spectra
0.6
0.4
0.5
Damping,
(m)0.3Sd 2%
5%
0%
0.1
0.2 10%
20%
0
0.1
0 0.5 1.0 1.5 2.0 2.5 3.0
Period T (s)
0 0.5 1.0 1.5 2.0 2.5 3.0
“El Centro”, 1940
Acceleration Response Spectra
30
35
25
Damping,
(m/s²)15
20Sa 0%
5
102%5%10%
0
5
0 0.5 1.0 1.5 2.0 2.5 3.0
10%20%
“El Centro”, 1940Period, T (s)
Displacement Response SpectraDamping, = 5%
1.4
Mexico
1.0
1.2
Viña del Mar0 6
0.8Sd
(m)
CentroCastaicCorralitosViña del MarMiyagi-Ken-Oki
El Centro
Miyagi-Ken-Oki0.4
0.6( ) Miyagi-Ken-Oki
México
CastaicCorralitos0.0
0.2
0.0 1.0 2.0 3.0 4.0 5.0
Period, T (sec)
Acceleration Response SpectraD i 5%
Corralitos
Damping, = 5%2.5
2.0
CastaicViña del Mar
Mexico
1 0
1.5
Sa
(g)
CentroCastaicCorralitosViña del MarMiyagi-Ken-OkiMéxico
Miyagi-Ken-Oki0.5
1.0 México
El Centro
0.00.0 1.0 2.0 3.0 4.0 5.0
Period, T (sec)
• Frequency content is critical• Frequency content is critical.
• Frequency content is critical• Frequency content is critical.
Response Spectrum NomenclatureResponse Spectrum Nomenclature
max
22 xx nn
Log-Log plot (a k a tri-partite response spectrum plot)(a.k.a. tri partite response spectrum plot)
PSA, PSV, SD vs. PGD, PGV, PGA
Code/Design SpectrumCode/Design Spectrum
Typical Code Design SpectrumTypical Code Design Spectrum
