seismic fragility of 3-span rc-slab overpass bridges...

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Seismic Fragility of 3-span RC-slab Overpass Bridges According to Pushover and Response Spectra Analysis Marian RALBOVSKY 1 , Alois VORWAGNER 2 , Maciej KWAPISZ 3 1 AIT Austrian Institute of Technology GmbH, Vienna, Austria [email protected] 2 AIT Austrian Institute of Technology GmbH, Vienna, Austria 3 AIT Austrian Institute of Technology GmbH, Vienna, Austria Paper ID: 10984

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Seismic Fragility of 3-span RC-slab Overpass Bridges According to Pushover and Response Spectra Analysis

Marian RALBOVSKY1, Alois VORWAGNER2, Maciej KWAPISZ3

1 AIT Austrian Institute of Technology GmbH, Vienna, [email protected]

2 AIT Austrian Institute of Technology GmbH, Vienna, Austria3 AIT Austrian Institute of Technology GmbH, Vienna, Austria

Paper ID: 10984

Problem statement

Paper ID: 10984

• Three-span RC-slab is very common structural type as highway overpass

• Highway operator needs network-wide indication of potential seismic vulnerability of bridges

• Simple analysis methods, engineering approach

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Parametric model

Paper ID: 10984

• 12 independent probabilistic parameters describe the bridge (geometry, reinforcement, soil)

• Ca. 20.000 parameter combinations (bridges) generated via Latin Hypercube Sampling

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Analysis methods

Paper ID: 10984

Linear response spectra

• 3D-Beam model• Linear soil springs• Multi-modal

,

,

,

,1

· , ·,

1

4

Pushover analysis

• 2D-Beam model• Fibre-cross section• Single-mode (N2 method)

,0.3

,1

, ·,

1

Results: whole bridge population

Paper ID: 10984

• Ground acceleration , at full utilization of limit states evaluated

• Response Spectra Analysis (RSA)• Single-mode Pushover Analysis (SPA)

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RSA ‐ bending

SPA ‐ bending

RSA vs. SPA

Paper ID: 10984

• SPA consistently less conservative in bending/rotation limit state• SPA predominantly less conservative in shear limit state

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Failure probability

Paper ID: 10984 7

Bending Whole bridge population Shear

ρ=1.0~1.5% Bending ρ=4.0~4.5%

Approximation formulas

Paper ID: 10984

• Empirical formula with coefficients fitted onto simulation results

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Conclusions

Paper ID: 10984

• In this analysis of 3-span RC slab bridges using simple beam models:• Bending / rotation limit state: pushover allowed always greater seismic

actions than RSA, especially at structures with low ρ• Shear limit state: pushover allowed greater seismic actions than RSA in

most cases

• Approximation formulas for estimation of PGA at full utilization of bending / rotation limit state had good accuracy for seismic actions relevant in Austria (PGA < 1,5 m/s²)

• Approximation formulas for estimation of PGA at full utilization of shear limit state showed low accuracy

• The results provided the highway operator a simple tool to identify potentially vulnerable structures in traffic network

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