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    J ack MoehlePacific Earthquake Engineering Research CenterUniversity of California, Berkeley

    with contributions fromYousef Bozorgnia, Tony Yang, PEER/BerkeleyRon Klemencic, MKA Seattle

    J oe Maffei, Rutherford & ChekenePaul Somerville, SCEC/URS

    J ohn Wallace, PEER/UCLA

    Performance-BasedSeismic Design of

    Tall Buildings in the

    United States

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    Base

    Shear

    Deformation

    DamageThreshold

    CollapseOnset

    OPEN

    OPEN

    OPEN

    Performance-based seismic design

    Performance LevelsServiceability Safety

    Shaking LevelInfrequent Very rare

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    OPEN

    OPEN

    OPEN

    Performance-based seismic design

    Performance LevelsServiceability SafetyToday

    Downtime, days0 1 7 30 180

    Casualty rate0.0 0.0001 0.001 0.01 0.25

    Tomorrow$, % replacement0 25% 50% 100%

    Base

    Shear

    DamageThreshold

    CollapseOnset

    Deformation

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    Tall buildings

    (proposed, approved, or under construction, at last count)Over 75m: San Francisco 38; Los Angeles 61; Seattle

    Steve Boland, 2006

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    The new generation oftall buildings

    Whats different about them? High-performance materials andsystems

    Framing systems not satisfying code

    prescriptions undefined systems

    defined systems beyond permitted heightlimits

    MKA

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    MKA

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    MKA

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    MKA

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    MKA

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    104.11 Alternative materials, design and methods of construction

    and equipment. The provisions of this code are not intended to prevent

    the installation of any material or to prohibit any design or method of

    construction not specifically prescribed by this code, provided that any

    such alternative has been approved. An alternative material, design or

    method of construction shall be approved where the building official

    finds that the proposed design is satisfactory and complies with the intentof the provisions of this code, and that the material, method or work

    offered is, for the purpose intended, at least the equivalent of that

    prescribed by this code in quality, strength, effectiveness, fire resistance,

    durability and safety.

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    Building review and approval Peer review

    Three-member panel with relevant expertise

    Submittal requirements

    Seismic design criteria Computer models

    Design and verification results

    Project specs and construction drawings

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    Seismic Design Criteria Earlier approach

    Satisfy all coderequirements, withlimited exceptions

    Code enhancements

    explicit capacity design

    performance verificationusing nonlinearanalysis

    detailing enhancements

    More recent approach

    Establish performanceobjectives

    explicit capacitydesign as appropriate

    performanceverification bynonlinear dynamic

    analysis detail as required to

    ensure performance

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    Seismic performance objectives

    after Vision 2000, SEAOC

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    None/Slight Moderate Extensive Complete Collapse

    Level A 20 15 4 1 0

    Level B 19 9 7 4 1

    Level C 12 6 9 9 4

    Expected No. of Bldgs in each Structural Damage StateHypothetical

    Performance

    Performance objectives questionGiven 40 tall buildings in a city.Very rare earthquake.

    What do you think of this performance scenario?

    Holmes et al, 2008

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    URS

    Seismic

    hazardanalysis

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    Probabilistic

    seismic hazardanalysis

    0 2 4 6 8 10Period, sec

    Pseudo

    Acceleration,g

    2.5

    2.0

    1.5

    1.0

    0.5

    0.00 2 4 6 8 10Period, sec

    Pseudo

    Acceleration,g

    2.5

    2.0

    1.5

    1.0

    0.5

    0.0

    2% in 50 yr UHS2% in 50 yr UHS2% in 50 yr UHS

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    Selection and scaling of ground

    motions

    TARGET

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    T1

    0 2 4 6 8 10

    Period, sec

    PseudoAc

    celeration,g

    2.5

    2.0

    1.5

    1.0

    0.5

    0.0

    2% in 50 yr UHS

    2% in 50 yr M6.5 Scenario

    Scenario spectrum

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    Nonlinear analytical models

    FloorNumber

    Lateral

    system

    Gravity-only

    system-0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15

    -4000

    -3000

    -2000

    -1000

    0

    1000

    2000

    3000

    Analytical

    Experimental

    Link beam

    Momen

    t

    Rotation

    Bounding Analysis0.25-1.0Gc0.1-0.5Gc

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    Model sensitivity: Wall shear

    0

    10

    20

    30

    40

    FloorLevel

    -20000-1000001000020000

    Wall Shear

    Case 1

    Case 2

    Case 3Case 4

    No Factors

    ATC 72 (Wallace), 2008

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    20000100000

    Strong hinge

    Intermediate

    Intermediate

    Weak hinge

    Model sensitivity: Wall moment

    0

    10

    20

    30

    60

    50

    40

    FloorLevel

    Moment

    intended

    yield hinge

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    Modeling assumptions

    0

    10

    20

    30

    40

    FloorLevel

    -30000 -20000 -10000 0 10000 20000 30000

    North South Force (K)

    Fiber Hinge

    Fiber all

    FloorLevel

    0

    10

    20

    30

    40

    FloorLevel

    -30000 -20000 -10000 0 10000 20000 30000

    North South Force (K)

    Fiber Hinge

    Fiber all

    FloorLevel

    0

    10

    20

    30

    40

    -20000000 0 20000000

    Moment about East West axis(K-in)

    Fiber Hinge

    Fiber all

    0

    10

    20

    30

    40

    -20000000 0 20000000

    Moment about East West axis(K-in)

    Fiber Hinge

    Fiber all

    ATC 72 (Wallace), 2008

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    Damping

    ATC 72 (Deierlein), 2008, after data from Goel and Chopra, 1997

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    Calculated dynamic response

    Yan

    g,

    2007

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    DBE

    CMS, T2

    CMS, T1

    CMS, T3

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    0 1 2 3 4 5 6 7 8

    Period, sec

    SpectralAc

    celeration,g

    T3

    T2

    T1

    DBE

    CMS, T2

    CMS, T1

    CMS, T3

    DBE

    CMS, T2

    CMS, T1

    CMS, T3

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    0 1 2 3 4 5 6 7 80 1 2 3 4 5 6 7 8

    Period, sec

    Scenario spectra

    Baker and Yang, 2008

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    (b) Peak building responses

    Wall shears and moments

    0 0.5 1.0B5

    L1

    L6

    L11

    L17

    L22

    L27

    L32

    L37

    L42

    Wall Shear

    FloorNumber

    0

    Wall Moment

    0 0.5 1.00 0.5 1.0B5

    L1

    L6

    L11

    L17

    L22

    L27

    L32

    L37

    L42

    Wall Shear

    FloorNumber

    0

    Wall Moment

    0 0.5 1.0

    DBE

    CMS, T2

    CMS, T1

    CMS, T3

    DBE

    CMS, T2

    CMS, T1

    CMS, T3

    DBE

    CMS, T2

    CMS, T1

    CMS, T3

    Baker and Yang, 2008

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    Design values?

    BASE

    13th

    ROOF

    (a) Building elevation (b) Summary of results

    Roofdrift, ft Wallbaseshear, k

    Wallmoment at13th floor,1000 x k-ft

    Minimum

    MaximumMean (m)

    m +c.o.v.

    Nonlinearstatic

    2.1

    6.74.25.40.23

    7600

    2970015500222000.43

    5500

    513

    108090010900.21

    760

    after Maffei

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    a design philosophy in rare earthquake ground shaking

    there should be no more than a 50% chancethat demands will exceed capacities forductile failure modes, and

    the chance of experiencing a nonductilefailure mode should be less.

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    Structural wall tests

    Berkeley and PCA tests ca 1970s and 1980sCTL 1980

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    Flexural assessment

    +2.0%

    -0.015

    -0.01

    -0.005

    0

    0.005

    0.01

    0.015

    0.02

    0.025

    0.03

    0.035

    0 200 400 600 800 1000 1200

    Distance from the left end [mm]

    strains

    Test Results+2.0%

    Wallace 2007

    Fiber model

    T i l fl

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    Typical flexure

    verification

    Core walltension strains

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    Shear-compression failure

    Corley, Fiorato, Oesterle, ACI SP 72, 1981CTL 1980

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    Design for brittle failure modes Design demands shall consider

    dispersion of calculated responses. Design strengths shall be based on

    specified materials properties with

    strength reduction factors per the code.

    R =capacityQ =demand

    Y =R - Q

    Y

    Y

    Y = R - Q

    Frequency

    P[(Y = R - Q) < 0]

    = shaded area

    YY

    Y

    Y = R - Q

    Frequency

    P[(Y = R - Q) < 0]

    = shaded area

    R =capacityQ =demand

    Y =R - Q

    Y

    Y

    Y = R - Q

    Frequency

    P[(Y = R - Q) < 0]

    = shaded area

    YY

    Y

    Y = R - Q

    Frequency

    P[(Y = R - Q) < 0]

    = shaded area

    Y

    Y

    Y = R - Q

    Frequency

    P[(Y = R - Q) < 0]

    = shaded area

    YY

    Y

    Y = R - Q

    Frequency

    P[(Y = R - Q) < 0]

    = shaded area

    Vn Vu

    mean +

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    Outrigger Forces1.2D + 1.6L

    Moreactions

    (L reduced)

    moments(L not reduced)

    Gravity

    1.0D + 0.1L

    MoM

    o

    /4

    Seismic

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    Calculated outrigger axial forces

    0 100 200 300 400 500 600 700 800 900B5

    1

    6

    11

    17

    22

    27

    32

    37

    42

    axial force [kips]

    Floor

    number[-]

    Mean

    Mean + stddata

    Yang, 2008

    Slab-wall connection

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    Slab-wall connection

    performance

    Klemencic, Frye, Hurtado, Moehle, PCI, 2006

    i kConfine diagonals

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    Link

    beams

    g

    Confine section

    ACI 318, 2008

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    Diagonally reinforced link beams

    -4.32 -2.16 0 2.16 4.32Relative Displacement (in)

    -200

    -100

    0

    100

    200

    LateralLoad(k)

    -0.12 -0.06 0 0.06 0.12

    Drift (% Rotation)

    ln/h = 2.4

    Diagonal (B2)

    Full (B1)

    Rotation = 0.06

    Wallace, 2007

    B kli t i d b d

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    Buckling-restrained braces and

    steel plate shear walls

    LA Live!, Los Angeles

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    WAMU Center, Seattle

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    One Rincon Hill, San Francisco

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    One Rincon Hill, San Francisco

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    One Rincon Hill, San Francisco

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    February 2005

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    February 2005

    WAMU Center, Seattle

    March 2005

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    March 2005

    WAMU Center, Seattle

    April 2005

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    April 2005

    WAMU Center, Seattle

    May 2005

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    May 2005

    WAMU Center, Seattle

    J une 2005

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    J une 2005

    WAMU Center, Seattle

    J uly 2005

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    J uly 2005

    WAMU Center, Seattle

    August 2005

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    August 2005

    WAMU Center, Seattle

    September 2005

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    September 2005

    WAMU Center, Seattle

    October 2005

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    October 2005

    WAMU Center, Seattle

    November 2005

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    November 2005

    WAMU Center, Seattle

    December 2005

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    December 2005

    WAMU Center, Seattle

    J anuary 2006

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    J anuary 2006

    WAMU Center, Seattle

    February 2006

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    February 2006

    WAMU Center, Seattle

    March 2006

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    WAMU Center, Seattle

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    LA Convention Center Park 5th Pershing Square

    76 stories

    11 ft/story

    2000 Third, Seattle

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    Millennium Tower, San Francisco

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    LA Center, Los Angeles

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    Grand Avenue, Los Angeles

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    Summary New generation of tall

    buildings Performance-based design

    Opportunities andchallenges

    Grand Avenue, Los Angeles