Seismic Analysis of Structures
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Transcript of Seismic Analysis of Structures
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Seismic Analysis of Seismic Analysis of StructuresStructures
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lumped MDOF-sytem with rigid base translation (horizontal case)
Earthquake Loading
From Clough, Penzien (3)
0tm v c v k v
where direction cosine, for buildings typicall "1"
tgv v j v
j
eff tm v c v k v p
eff gt tp m j vhysteresis law
ground acc.
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Earthquake EngineeringEarthquake EngineeringProf. Dr.-Ing. Uwe E. DorkaProf. Dr.-Ing. Uwe E. Dorka Stand: 11.07.2006
33Stahlbau Grundlagen – EinführungProf. Dr.-Ing. Uwe E. Dorka 3
Reference peak-ground acceleration at Udine: 2.75 m/s2
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viscously damped SDOF oscillator
where: Eigenfrequency:
Damping ratio:
solving this equation for various and butonly for one specific earthquake, the maximum absolute acceleration of this solution gives us the diagram above
Response Spectra
From Petersen (2)
From Meskouris (5)
simplified response spectrum
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Earthquake EngineeringEarthquake EngineeringProf. Dr.-Ing. Uwe E. DorkaProf. Dr.-Ing. Uwe E. Dorka Stand: 11.07.2006
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Example:• School building with
steel frames or Hyde system
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Hyde System
Static Systems
IPE 500IPE 500
IPE 500IPE 500
IPE 500IPE 500
IPE 500IPE 500
IPE 500IPE 500
M2=12450KgM2=12450Kg
3.2
03
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8.00m8.00m
3.2
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3.2
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3.2
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3.2
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HE
B 4
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HE
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HE
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HE
B
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HE
B 4
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B 4
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M1=16185KgM1=16185Kg
M1=16185KgM1=16185Kg
M1=16185KgM1=16185Kg
M1=16185KgM1=16185Kg
mmmm
mmmm
mm
Frame
IPE 500IPE 500
IPE 500IPE 500
IPE 500IPE 500
IPE 500IPE 500
IPE 500IPE 500
3.2
03
.20
8.00m8.00m
3.2
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3.2
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3.2
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HE
B
HE
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HE
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HE
B
HE
B
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HE
B
HE
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HE
B
HE
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HE
B
HE
B
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02
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HE
B
HE
B
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HE
B
HE
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HE
B
HE
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HE
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mmmm
mmmm
mm
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Frame Hyde System
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Frame Hyde System
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Frame
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Frame details
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Hyde System
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1212Hyde System details