1. Seismic Analysis of Structures

2. Earthquake Loading lumped MDOF-sytem with rigid
base translation (horizontal case)
ground acc.
From Clough, Penzien (3)
hysteresis law

3. Reference peak-ground acceleration at Udine: 2.75 m/s2
Stahlbau Grundlagen – Einführung
Prof. Dr.-Ing. Uwe E. Dorka
Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand: 3

4. Response Spectra viscously damped SDOF oscillator
simplified response spectrum
From Meskouris (5)
From Petersen (2)
solving this equation for various w and z, but only for one specific earthquake, the maximum absolute acceleration of this solution gives us the diagram above
where: Eigenfrequency:
Damping ratio:

5. Example: School building with steel frames or Hyde system
Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand:

6. Static Systems Frame Hyde System M2=12450Kg M1=16185Kg IPE 500 IPE 500
3.20
8.00m
HEB 400
M1=16185Kg m
IPE 500
3.20
8.00m
HEB 200
HEB 200 m

7. Frame Hyde System Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand:

8. Frame Hyde System Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand:

9. Frame Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand:

10. Frame details Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand:

11. Hyde System Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand:

12. Hyde System details Earthquake Engineering
Prof. Dr.-Ing. Uwe E. Dorka Stand: