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Overview of PEER PBEE Methodology

Overview of PEER PBEE Methodology. Greg Deierlein PEER Deputy Director Stanford University. PEER 2002 Annual Meeting. Elastic Limit. Collapse. Hazard Intensity Measure. Damage Measure. IO. LS. CP. FEMA 273, 356. 25% 50% 100%. % replace. cost. 0.

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Overview of PEER PBEE Methodology

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  1. Overview of PEER PBEE Methodology Greg Deierlein PEER Deputy Director Stanford University PEER 2002 Annual Meeting

  2. Elastic Limit Collapse Hazard Intensity Measure Damage Measure IO LS CP FEMA 273, 356 25% 50% 100% % replace. cost 0 0.0001 0.001 0.01 .25 Casualty rate 0.0 1 7 30 180 0 Downtime, days More Explicit Performance Assessment Base Shear Interstory Drift Ref. W. Holmes

  3. Methodology Components • Decision Variable • ($ loss, downtime, life-safety) • Damage Measure • (condition assessment, necessary repairs) • Engrg. Demand Param. • (drift, acceleration) • Intensity Measure • (Sa, Sv, duration …) non-structural components & contents Structure & foundations site ground motions

  4. n(DV) – Probabilistic Description of Decision Variable (e.g., Mean Annual Probability $ Loss > 50% Replacement Cost) PBEE – Probability Framework Equation Hazard Performance (Loss) Models and Simulation Impact IM – Intensity Measure EDP – Engineering Demand Parameter DM – Damage Measure DV – Decision Variable

  5. Static Analysis: Dynamic Analysis: Hazard Intensity Measure Current Practice: Sa (T1)

  6. Median IM to EDP

  7. (a) Intensity Measure = Sa(T1) (b) Intensity Measure = SaRsaa Improved Intensity Measure • combinations of Sa • Sa + (duration, pulse period, ground deformations …) • others?

  8. Hazard and Ground Motion: Definition and Input (SSI)

  9. Engineering Demand Parameters • Global (system) • deformation (drift), residual deformation, … • floor accelerations, floor spectra … • ground deformations • Local (component) • inelastic deformations (max., cumulative, …) • dissipated energy • damage index (vector of quantities)

  10. Damage Measures • EDP Physical Condition Consequences • Physical Condition • cracking spalling, rebar buckling, … • component failure, tipping, … • Consequences • repair measures (minor to major replacement) • life safety issues (e.g.,chemical release, falling hazards, etc. ) • functionality (e.g., bridge alignment)

  11. Damage Estimation of Structural Components P( DM | EDP ) Fragility Functions EDP Damage E. Miranda

  12. (Replace partition) (Replace gypsum boards) (Paste,Tape, Repaste and Paint) Severe damage to gypsum board and distorsion of metal frame Wide cracks in gypsum boards Wide cracks in gypsum boards Small cracks only Small cracks only Small cracks only Damage Estimation P( DM | EDP ) Fragility Functions EDP Damage

  13. Schedule Downtime Indirect Loss Performance Assessment & Decision Making Decision Variables: Casualty Rates (Risk of Injury) Direct $ Loss (Repairs & Content Loss) Decision Process: Economic Modeling (e.g., Benefit-Cost Analysis) Societal – Political Expectations and Constraints Risk Management (risk aversion, insurance vs. mitigation, ...) Decision Arena (single facility, multiple facilities, large inventory)

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