A PROBABILISTIC APPROACH FOR SEISMIC RISK ASSESSMENT WITH UNCERTAIN INPUT P A R A M E T E R S by ALI SANAIE-FARD

1 T a b l e o f C o n t e n t s Abstract i i Acknowledgments viii Problem and Thesis Objective I Review of Previous Work 2 Multi-Criteria Optimal Design 2 Reliability-Based Design Earthquake Identification 6 A Time Variant Approach to Performance-Based Engineering 9 Seismic Performance Evaluation For Steel Moment Frames 10 Optimal Probabilistic Seismic Demand Models For Typical Highway Overpass Bridges 14 Approach in the Code 16 Terminologies and Background Information 16 Seismic Zonation 16 Seismic Microzonation: 17 Seismic Hazards 19 Liquefaction 19 Landslides 20 Amplification of Ground Motion 20 Tsunamis and Seiches 20 Tectonic Subsidence or Uplift 20 Ground Rupture 21 Philosophy of Code 21 Basic Shear Equation 22 Zonal Velocity ( v ) 23 Geological Survey of Canada Data for v 24 Mapping Parameters and Procedures 25 Liquefaction-Induced Permanent Ground Deformation 26 Seismic Response Factor ( S ) 28 Force Modification Factor ( R ) 29 Importance Factor ( I ) 29 Foundation Factor ( F ) 29 Reliability Based Seismic Analysis 31 System Modeling 32 Defining Performance Criteria 33 Calculating the Probability of Failure or Non-Performance 34 Monte Carlo and Latin Hypercube Sampling Methods 35 Reliability Based Methods (FORM and SORM) 36 Response Surface Methods 38 Proposed Methodology and A Numerical Example 39 Description of the Problem and Assumption 39 Input Variables 43