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    Beam-Column Connections

    Jack MoehleUniversity of California, Berkeley

    with contributions from

    Dawn Lehman and Laura LowesUniversity of Washington, Seattle

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    Outline

    design of new joints

    existing joint details

    failure of existing joints in earthquakes

    general response characteristics

    importance of including joint deformations

    stiffness

    strengthdeformation capacity

    axial failure

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    Special Moment-Resisting Frames- Design intent -

    Beam

    Beam Section

    lnbVp

    w

    MprMpr

    Vp

    Mpr

    Vp

    Mpr

    lc

    Vcol

    Vcol

    For seismic design,beam yieldingdefines demands

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    Joint demands

    (a) moments, shears, axialloads acting on joint

    (c) joint shear

    Vcol

    Ts1 C2

    Vu =Vj = Ts1 + C1 - Vcol

    (b) internal stress resultantsacting on joint

    Ts2 =

    1.25Asfy

    C2 = Ts2

    Ts1 =1.25Asfy

    C1 = Ts2

    Vcol

    Vcol

    Vb1 Vb2

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    Joint geometry(ACI Committee 352)

    a) Interior

    A.1

    c) Corner

    A.3

    b) Exterior

    A.2

    d) Roof

    Interior B.1

    e) Roof

    Exterior B.2

    f) Roof

    Corner B.3

    ACI 352

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    Classification

    /typeinterior exterior corner

    cont. column 20 15 12

    Roof 15 12 8

    Values ofK (ACI 352)

    Joint shear strength- code-conforming joints -

    hbfVV jcnu'JKJ !!

    J = 0.85

    ACI 352

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    Joint Details - Interior

    hcol u 20db

    ACI 352

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    Joint Details - Corneru ldh

    ACI 352

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    Code-conforming joints

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    Older-type beam-column connections

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    Survey of existing buildings

    Mosier

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    Joint failures

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    Studies of older-type joints

    Lehman

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    -80

    -60

    -40

    -20

    0

    20

    40

    60

    80

    -6 -4 -2 0 2 4 6

    Drift %

    ColumnShear(K)

    Yield of Beam

    Longitudinal

    Reinforcement

    Spalling of

    Concrete Cover Longitudinal

    Column Bar

    Exposed

    Measurable

    residual cracks

    20% Reduction

    in Envelope

    Damage progressioninterior connections

    Lehman

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    Effect of load historyinterior connections

    -6 -4 -2 0 2 4 6Story Drift

    ColumnShear

    (k)

    Column Bar

    Envelope for standardcyclic history

    Impulsive loading history

    Lehman

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    Standard Loading Impulsive Loading

    Damage at 5% drift

    Lehman

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    0

    20

    40

    60

    80

    100

    120

    1 4 7 10 13 16 19 22 25 28 31 34

    Cycle Number

    P

    ercentContribution

    Joint Shear

    Bar Slip

    Beam

    Column

    Specimen CD15-14

    Contributions to driftinterior connections

    Joints shall be modeledas either stiff or rigidcomponents. (FEMA 356)

    Lehman

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    Evaluation of FEMA-356 Modelinterior connections

    0

    2

    4

    6

    8

    1012

    14

    16

    18

    0 0.005 0.01 0.015 0.02 0.025 0.03

    Joint Shear Strain

    J

    ointShearF

    actor

    FEMA

    PEER-14

    CD15-14

    CD30-14

    PADH-14PEER-22

    CD30-22

    PADH-22

    Lehman

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    Joint panel deformations

    Joint Deformation

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    0.0000

    12

    Gc/5Gc

    Joint shear stiffnessinterior connections

    psifc,20 '

    0.005 0.010 0.015 0.020 0.025 0.030

    Joint shear strainJoint

    shearstress

    (MPa)

    108

    6

    4

    2

    psifc,20 '

    psifc,10 '

    Gc/8

    Lehman

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    Joint strengtheffect of beam yielding

    JointStre

    ss(psi)

    0

    400

    800

    1200

    1600

    0 1 2 3 4 5 6

    Drift (%)

    Joint strength closely linked to beam flexural strength Plastic deformation capacity higher for lower joint shear

    Lehman

    Yield

    Yield

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    Joint strengthinterior connections - lower/upper bounds

    /fc

    0

    0.1

    0.3

    0.4

    0 10 20 30 40 50 60

    0

    0.2vj

    Beam Hinging/Beam Bar Slip

    Failure forced intobeams between8.5f

    cand 11f

    c

    JointShearFailure

    Joint failure withoutyielding near25.5f

    c

    Lehman

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    Joint strengthinteriorconnections

    0

    500

    1000

    1500

    2000

    2500

    3000

    3500

    0 4000 8000 12000 16000

    Concrete Strength (psi)

    JointStress

    (psi) Joint Failures

    Beam Failurespsifc

    ,

    10

    '

    Lehman

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    Joint deformability

    JointStress

    (psi)

    0

    400

    800

    1200

    1600

    0 1 2 3 4 5 6

    vmax

    Drift (%)

    0.2vmax

    plastic drift capacity

    envelope

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    Plastic drift capacityinterior connections

    0

    5

    10

    1520

    25

    30

    0 0.01 0.02 0.03 0.04 0.05 0.06

    plastic drift angle

    psif

    v

    c

    jo,

    '

    int

    Note: the plastic drift angle includes inelastic deformations of the beams

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    Damage progressionexterior connections

    Pantelides, 2002

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    Joint behaviorexteriorconnections

    2 Clyde6 Clyde4 Clyde

    5 Clyde5 Pantelides6 Pantelides6 HakutoPriestley longitudinalPriestley transverse

    psif

    v

    c

    jo,

    '

    int

    15

    0 1 2 3 4 5 6 7

    10

    5

    0

    Drift, %

    bidirectional

    loading

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    Plastic drift capacity

    0

    5

    10

    1520

    25

    30

    0 0.01 0.02 0.03 0.04 0.05 0.06

    plastic drift angle

    psif

    v

    c

    jo,

    '

    int

    Note: the plastic drift angle includes inelastic deformations of the beams

    InteriorExterior

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    Exterior jointhook detail

    hook bent into joint

    hook bent out of joint

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    Interior joints withdiscontinuous bars

    Columnshear,kips

    40

    30

    20

    10

    00 1 2 3 4 5

    Drift ratio, %Beres, 1992

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    Assuming bars are anchored injoint, strength limited by strength offraming members, with upperbound ofK } 25. For 25 K 8,joint failure may occur afterinelastic response. ForK 8, joint

    unlikely to fail.

    Unreinforced Joint Strength

    bhfVcj

    'K!

    Kjoint

    geometry

    4

    6

    10

    8

    12

    FEMA 356 specifies the following:

    No new data. Probably still valid.

    Assuming bars are anchored injoint, strength limited by strength offraming members, with upper-bound ofK } 15. For 15 K 4,joint failure may occur afterinelastic response. ForK 4, jointunlikely to fail.

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    Joint failure?

    WyXcr

    Xcr

    '

    '

    6

    16

    c

    y

    ccr

    ff

    W

    X ! , psi

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    Joint failure?

    Drift at tensile failure

    Drift at axial failure

    LateralLoad

    Lateral Deflection, mm

    Drift at lateral failure

    Priestley, 1994

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    0

    0.02

    0.04

    0.06

    0.08

    0.1

    0 0.05 0.1 0.15 0.2 0.25 0.3

    Axial load ratio

    Driftratio }

    Interior

    0.0

    3-0.0

    7

    0.1

    0-0.1

    8

    0.2

    0-0.2

    2

    Range ofK values

    Joint test summaryaxial failures identified

    Tests with axial load failure

    0.3

    6

    Exterior, hooks bent in

    Exterior, hooks bent out

    Corner

    '

    cj fv K!

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    Suggested envelope relationinterior connections with continuous beam bars

    psif

    v

    c

    jo,

    '

    int 25

    20

    15

    10

    5

    0

    0.015

    0.04 0.02

    8

    psifc

    ,25'

    strength = beam strengthbut not to exceed

    stiffness based on effectivestiffness to yield

    Note: the plastic drift angle includes inelastic deformations of the beams

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    axial-load stability unknown,especially under high axial loads

    Suggested envelope relationexterior connections with hooked beam bars

    psif

    v

    c

    jo,

    '

    int 25

    20

    15

    10

    5

    0

    0.010

    0.02 0.01

    strength = beam strength

    but not to exceed psifc ,12'

    stiffness based on effectivestiffness to yield

    connections with demand lessthan have beam-yieldmechanisms and do not follow

    this model

    '4c

    f

    Note: the plastic drift angle includes inelastic deformations of the beams

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    Joint panel deformations

    Joint Deformation

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    Methods of Repair (MOR)

    Method ofRepair

    ActivitiesDamageStates

    0. CosmeticRepair

    Replace and repair finishes 0-2

    1. Epoxy Injection Inject cracks with epoxy andreplace finishes

    3-5

    2. Patching Patch spalled concrete, epoxyinject cracks and replace

    finishes

    6-8

    3. Replaceconcrete

    Remove and replace damagedconcrete, replace finishes

    9-11

    4. Replace joint Replace damaged reinforcingsteel, remove and replace

    concrete, and replace finishes

    12

    Pagni

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    Interior joint fragility relations

    0.0 1.0 2.0 3.0 4.0 5.0 6.00

    0.1

    0.20.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    Drift (%)

    MOR 0

    MOR 1MOR 2MOR 3MOR 4

    0.0 1.0 2.0 3.0 4.0 5.0 6.00

    0.1

    0.20.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    Drift (%)

    MOR 0

    MOR 1MOR 2MOR 3MOR 4

    MOR 0

    MOR 1MOR 2MOR 3MOR 4

    MOR 0

    MOR 1MOR 2MOR 3MOR 4

    ProbabilityofRequiringaMOR

    Cosmetic repairEpoxy injection

    PatchingReplace concreteReplace joint

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    Beam-Column Connections

    Jack MoehleUniversity of California, Berkeley

    with contributions from

    Dawn Lehman and Laura LowesUniversity of Washington, Seattle

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    References Clyde, C., C. Pantelides, and L. Reaveley (2000), Performance-based evaluation of exterior reinforced

    concrete building joints for seismic excitation, ReportNo.PEER-2000/05, Pacific EarthquakeEngineering Research Center, University ofCalifornia, Berkeley, 61 pp.

    Pantelides, C., J. Hansen, J. Nadauld, L Reaveley (2002, Assessment of reinforced concrete buildingexterior joints with substandard details, ReportNo.PEER-2002/18, Pacific Earthquake EngineeringResearchCenter, University ofCalifornia, Berkeley, 103 pp.

    Park, R. (2002), "A Summary of Results of Simulated Seismic Load Tests on Reinforced Concrete Beam-Column Joints, Beams and Columns with Substandard Reinforcing Details, JournalofEarthquakeEngineering, Vol. 6, No. 2, pp. 147-174.

    Priestley, M., and G. Hart (1994), Seismic Behavior of As-Built and As-Designed Corner Joints,SEQAD Report to Hart Consultant Group, Report#94-09, 93 pp. plus appendices.

    Walker, S., C. Yeargin, D. Lehman, and J. Stanton (2002), Influence of Joint Shear Stress Demand andDisplacement History on the Seismic Performance ofBeam-Column Joints, Proceedings, The Third US-Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced ConcreteBuilding Structures, Seattle, USA, 16-18 August 2001, ReportNo.PEER-2002/02, Pacific EarthquakeEngineering Research Center, University ofCalifornia, Berkeley, pp. 349-362.

    Hakuto, S., R. Park, and H. Tanaka, Seismic Load Tests on Interior and ExteriorBeam-Column Jointswith Substandard Reinforcing Details, ACI Structural Journal, Vol. 97, No. 1, January 2000, pp. 11-25.

    Beres, A., R.White, and P. Gergely, Seismic Behavior of Reinforced Concrete Frame Structures withNonductile Details: Part I Summary of Experimental Findings of Full Scale Beam-Column Joint Tests,Report NCEER-92-0024, NCEER, State University ofNew York at Buffalo, 1992.

    Pessiki, S., C. Conley, P. Gergely, and R. White, Seismic Behavior of Lightly-Reinforced ConcreteColumn and Beam Column Joint Details, Report NCEER-90-0014, NCEER, State University ofNewYork at Buffalo, 1990.

    ACI-ASCE Committee 352, Recommendations for Design ofBeam-Column Connections in MonolithicReinforced Concrete Structures, American Concrete Institute, Farmington Hills, 2002.

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    References (continued) D. Lehman, University ofWashington, personal communication, based on the following resources:

    Fragilityfunctions:

    Pagni, C.A. and L.N. Lowes (2006). Empirical Models for Predicting Earthquake Damage and RepairRequirements for Older Reinforced Concrete Beam-Column Joints. Earthquake Spectra. In press.Jointelement:

    Lowes, L.N. and A. Altoontash. Modeling the Response of Reinforced Concrete Beam-Column Joints.JournalofStructuralEngineering,ASCE. 129(12) (2003):1686-1697.Mitra, N. and L.N. Lowes. Evaluation, Calibration and Verification of a Reinforced Concrete Beam-Column Joint Model. JournalofStructuralEngineering,ASCE. Submitted July 2005.Anderson, M.R. (2003). Analytical Modeling of Existing Reinforced Concrete Beam-Column JointsMSCE thesis, University ofWashington, Seattle, 308 p.Analysesusingjointmodel:

    Theiss, A.G. Modeling the Response of Older Reinforced Concrete Building Joints. M.S. Thesis.Seattle: University ofWashington (2005): 209 p.ExperimentalResearch

    Walker, S.*, Yeargin, C.*, Lehman, D.E., and Stanton, J. Seismic Performance ofNon-DuctileReinforced Concrete Beam-Column Joints, StructuralJournal,American Concrete Institute, acceptedfor publication.

    Walker, S.G. (2001). Seismic Performance of Existing Reinforced Concrete Beam-Column Joints.MSCE Thesis, University ofWashington, Seattle. 308 p.Alire, D.A. (2002). "Seismic Evaluation of Existing Unconfined Reinforced Concrete Beam-ColumnJoints", MSCE thesis, University ofWashington, Seattle, 250 p.Infrastructure ReviewMosier, G. (2000). Seismic Assessment of Reinforced Concrete Beam-Column Joints. MSCE thesis,University ofWashington, Seattle. 218 p.