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Framework for Performance-Based Earthquake Engineering Helmut Krawinkler, Stanford U. PEER Summative Meeting – June 13, 2007. Where were we 10 years ago?. SEAOC Vision 2000, FEMA 273, ATC-40 Descriptive performance levels (IO, LS, CP, etc.)

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framework for performance based earthquake engineering helmut krawinkler stanford u

Framework for Performance-Based Earthquake Engineering Helmut Krawinkler, Stanford U.

PEER Summative Meeting – June 13, 2007

where were we 10 years ago
Where were we 10 years ago?

SEAOC Vision 2000, FEMA 273, ATC-40

  • Descriptive performance levels (IO, LS, CP, etc.)
  • Associated with specific hazard levels → Performance Objectives
  • Qualitative (and a few quantitative) damage measures
  • Limited consideration of uncertainties
  • Implementation in terms of FORCES and DEFORMATIONS
measures of performance pbee
Measures of Performance - PBEE
  • Forces and deformation?
    • Yes, but only for engineering calculations
    • Intermediate variables
    • Not for communication with clients and community
  • Communication in terms of the three D’s:
    • Dollars (direct economic loss)
    • Downtime (loss of operation/occupancy)
    • Death (injuries, fatalities, collapse)
  • Quantification
    • Losses for a given shaking intensity
    • Losses for a specific scenario (M & R)
    • Annualized losses
    • With or without rigorous consideration of uncertainties
vision of pbee
Vision of PBEE
  • Complete simulation
  • Defined performance objectives
    • Quantifiable performance targets
    • Annual probabilities of achieving them
  • Informed owners

Joe’s

Beer!

Food!

Joe’s

Joe’s

Beer!

Food!

Beer!

Food!

Sources: G. Deierlein, R. Hamburger

slide5

Hazard

Performance (Loss) Models and Simulation

Impact

Curse?

Blessing

The Peer Framework Equation - 1999

performance based methodology bldgs

Measures of Performance

Decision Variable

  • Collapse & Casualties
  • Direct Financial Loss
  • Downtime

Damage Measure

Engineering Demand Parameter

drift as an EDP

Intensity Measure

Performance-Based Methodology – Bldgs.
slide8

IM (e.g., Sa(T1))

Individual records

Median

84%

IM Hazard curve

(annual freq. of exceedance)

EDP (e.g., max. interstory drift)

Incremental Dynamic Analysis

slide9

Performance Assessment types (ATC-58 definitions):

Decision Variable

Intensity-based:

Scenario-based:

Time-based:

Prob. facility perf., given intensity of ground motion

Prob. facility perf., given a specific earthquake scenario

Prob. facility perf. In a specific period of time

Damage Fragility Curves:

Cost Functions:

Mean Loss Curve:

Damage Measure

+

Aslani & Miranda

Engineering Demand Parameter

Intensity Measure

Performance-Based Methodology

Medina & Krawinkler

ATC-58 definitions of performance assessment types

Intensity-based: Probable facility performance, given intensity of ground motion

Scenario-based: Probable facility performance, given a specific earthquake scenario

Time-based: Probable facility performance in a specified period of time

slide10

Deaggregation of Expected Annual Loss

Example: Van Nuys Testbed Building

Collapse

29%

Structural

12%

Non-collapse

71%

Non-tructural

88%

Source: E. Miranda

slide11

Hazard Domain

Structural System Domain

Mean IM-EDP Curves

Mean Hazard Curve

10/50

EDP = Max. Interstory Drift

EDP = Max. Floor Acceleration

Loss Domain

Mean Subsystem Loss Curves

NSDSS

NSASS

EDP = Max. Interstory Drift

EDP = Max. Floor Acceleration

Design Decision Support

Expected $Loss

Zareian & Krawinkler (2005)

slide12

Vy

g =

W

Collapse

Capacity

Assessment of Collapse Potential

NORM. STRENGTH VS. MAX. STORY DUCT.

x

a

q

N=9, T

=0.9,

=0.05,

=0.03,

=0.015, H

, BH, K

, S

, NR94nya

1

3

1

1

20

Non-degrading system

Degrading system

15

g

)/g] /

10

1

(T

a

[S

5

0

0

5

10

15

20

m

si,max

collapse fragility curve

0.1

Collapse Fragility Curve

Zareian & Krawinkler (2004)

slide17

Implementation of Framework

  • ATC-58 – Guidelines for Seismic Performance Assessment of Buildings
  • ATC-63 – Recommended Methodology for Quantification of Building System Performance
  • TBI – Tall Building Initiative
  • LRFD for bridge design
  • Impact – Implementation:
  • ATC-58 – Guidelines for Seismic Performance Assessment of Buildings
  • ATC-63 – Recommended Methodology for Quantification of Building System Performance
  • TBI – Tall Building Initiative
  • LRFD for bridge design
slide18

Performance based engineering is here to stay

It enforces a transparent design/assessment approach

Much more emphasis must be placed on $ losses and

loss of function (downtime)

  • Performance based design should be reliability based

We have a long road ahead of us

Concluding Remarks - 1999