ComparativeShearWallDesign - Kurc

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    Outline

    Introduction

    Buildings utilized in the Case Studies

    Design of High Ductility Shear Walls

    Design of Normal Ductility Shear Walls

    Conclusions

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    Introduction

    New version of Turkish Earthquake Code (TDY-

    2007) was released in 2007 Capacity design approach for the shear walls was

    introduced for the first time

    Objections from practicing engineers, especiallyfrom the ones who build shear wall dominatedbuildings (utilizing tunnel forms)

    Modifications were made to the code and first

    Annex was released on May 2007 New version of the code still does not satisfy the

    design engineers and academicians.

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    Case Study Architectural Plan

    25

    655

    10

    250

    20

    250

    10

    655

    25

    10

    90

    25

    410

    10

    270

    5

    120

    20

    120

    10

    265

    10

    410

    25

    90

    10

    25

    395

    10

    250

    10

    520

    10

    250

    10

    395

    25

    10

    90

    410

    10

    265

    10

    120

    20

    120

    10

    265

    10

    410

    90

    10

    25

    655

    25

    335

    160

    25

    25

    25

    25 505 10 310 10 110 10 220 20 220 10 110 10

    25 25 10 10 10 400 25

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    Case StudyBuilding Models

    5 Storey Building 12 Storey Building

    a) Shear Wall only

    b) Dual System

    a) Shear Wall only

    b) Dual System

    1st and 3rd Degree Earthquake Regions

    Designed according to ACI 318-08 & TDY-2007

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    Case StudyFraming & Shear Wall Dimensions

    12 Storey Building5 Storey Building

    3,75m

    4,4m or 6,24 m

    3,75m

    4,4m

    5,2m

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    Shear Wall Design

    Part I

    High Ductility Shear Walls TDY 2007Special Shear Walls IBC 2005 / ACI 318-08

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    Design for FlexureDesign Moments

    Hw

    Lw

    HcrPlastic Hinge

    Region

    DesignMomentEnvelope

    Moment Diagram

    Obtained fromAnalysis

    TDY-2007

    ACI 318-08

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    Detailing - Boundary Regions

    TDY-2007 ACI 318-08

    c-0.1lw

    or c/20.2lw

    Length (lu):

    Minimum LongitudinalReinforcement Ratio: 0.002Acv up to Hcr0.001Acv elsewhere

    No specific rule

    Transverse Reinforcement

    Amount:

    ytk

    ckcsh

    f

    fbsA

    = 05.0

    ytk

    ckcsh

    f

    fbsA

    = 09.0

    Boundary Region

    Boundary Region Boundary Region

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    Boundary Region Length - ACI

    c lu=c-0.1lwor c/2

    lu= 90 cm (ACI)

    lu= 75 cm (TDY)

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    Boundary RegionResults

    Boundary RegionLength

    Boundary RegionSpecial Transverse

    Reinforcement

    Length TDY-2007 ACI 318-08TDY-2007

    (mm)

    ACI 318-08

    (mm)

    5 StoreyShear

    Wall

    3.75m 75 cm 90 cm 8/100 12/100

    6.24m 125 cm 150 cm 8/100 12/100

    5 StoreyDual

    System

    3.75m 75 cm 80 cm 8/100 -

    4.40m 90 cm 65 cm 8/100 -

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    d

    td

    tp

    ve VM

    M

    V )(

    )(

    .=

    Capacity Design ApproachDesign for Shear TDY 2007

    Mp

    At every wall section

    Dynamic Magnification Factor

    Flexural Over-strength Factor

    Mp = 1.25 Mr

    Mr

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    Dynamic Magnification Factor

    TDY 2007 1st Version

    v = 1.5 All Systems

    TDY, Annex I, May 2007

    v = 1.0 Special Shear Wall Systems

    v = 1.5 Dual System

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    Shear DesignTDY-2007

    Storey Md

    Mrt

    Vd

    Ve

    Ve/V

    d

    12 StoreyShear Walls Only (5.2 m)

    1st 28,577 31,643 1,126 1,558 1.38

    12 StoreyDual System (5.2 m)

    1st 7,450 11,039 880 2,444 2.78

    12 StoreyShear Walls Only (5.2 m)

    6th 18,110 20,045 856 1,201 1.29

    12 StoreyDual System (5.2 m)

    6th 4,967 8,283 395 1,237 3.13

    All units are in kN and m

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    Capacity Design ApproachDesign for Shear T.Paulay*

    Flexural Over-strength Factor Wall Base

    td

    tp

    wo

    M

    M

    )(

    )(, =

    Shear Force Wall Base

    dwove VV = ,

    * T. Paulay, M.J.N. Priestley, Seismic Design of Reinforced Concrete and Masonry Buildings, 1992

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    Capacity Design ApproachDynamic Magnification Factor

    Dynamic Magnification Factor, v Considers effects of higher order modes if the wall

    forces are obtained by a STATIC ANALYSIS

    T. Paulay proposes: up to 6 stories

    otherwise

    Wallace* proposes: v= 5/3 up to 10 stories

    v= 4/3 otherwise

    v = 1.0 if DYNAMIC ANALYSIS is performed*

    109.0 nv +=

    303.1 nv +=

    *J. W. Wallace Evaluation of UBC-94 Provisions for Seismic Design of RC Structural Walls, Earthquake Spectra, May 1996

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    Ve obtained from the capacity designapproach is the UPPERBOUND estimate

    Strength reduction factors or materialfactors should be equal to UNITY

    Shear Capacity, TDY-2007

    Capacity Design ApproachShear Capacity - T.Paulay*

    Ve obtained from the capacity designapproach is the UPPERBOUND estimate

    Strength reduction factors or materialfactors should be equal to UNITY

    Shear Capacity, TDY-2007

    cvctkyktr AffV 65.0+=

    cvctdydtr AffV ..65.0. +=

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    Ve obtained from the capacity design

    approach is the UPPERBOUND estimate Strength reduction factors or material

    factors should be equal to UNITY

    Shear Capacity, TDY-2007

    Capacity Design ApproachShear Capacity - T.Paulay*

    Ve obtained from the capacity design

    approach is the UPPERBOUND estimate Strength reduction factors or material

    factors should be equal to UNITY

    Shear Capacity, TDY-2007

    cvctkyktr AffV 65.0+=

    cvctkyktr AffV 43.087.0 +=

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    Shear ForcesHeights above the Base, T. Paulay

    Hw

    Lw

    Flexural

    Overstrength is

    Expected

    Not a CriticalRegion

    Shear Walls Only Dual System

    Lw

    0.33Hw

    Ve

    0.5Ve

    Hw

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    Shear Forces

    Heights Above the Base, EC8

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    Shear Force DistributionResults

    * Base shear values were calculated according to TDY-2007

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    Shear DesignACI 318-08

    Does not have capacity designapproach

    Analysis results are utilized during

    the shear design Two additional rules:

    ckTcvTu

    fAV 66.0

    ckcwu fAV 83.0

    ATcv: Total shear wall area at each storey

    Acw: Effective shear wall area

    VTu: Total shear force at each storey

    Vu: Shear force at each wall

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    Shear Capacity - ACI 318-08

    cvckyktr AffV ).17.0.( +=

    ur VV

    = 0.60 shear mode

    = 0.75 bending mode

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    Shear DesignACI 318-08

    Wallace and Orakcal* presented that the

    shear capacity of special shear wallsdesigned according to ACI 318-99 were notsufficient to carry shear forces obtainedfrom capacity design approach

    Capacity design was not addressed in ACI,because shear distress of structural walls

    has not been observed to produce lifesafety or collapse problems*

    *J. W. Wallace and K. Orakcal, ACI 318-99 Provisions for Seismic Design of Structural Walls, ACI Structural Journal, July-August 2002

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    Discussions

    Magnified shearforces and moments

    Different shear

    force distribution fordifferent lateral loadcarrying system

    Problems withoverdesigned walls

    Foundation design?

    Not observed tocause life safety orcollapse problems

    Shear distressproblems

    Ductility?

    Encourages usingshear walls inbuildings

    Capacity Design Not Capacity DesignOROR

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    DiscussionsCapacity Design with TDY-2007

    Minimum longitudinal reinforcement requirements

    for boundary regions increases the flexural over-strength factor (Mpt/Md)

    Problems with vcoefficient The effect of utilizing static and dynamic analysis

    on the value vshould be identified

    Should use at least 1.5 for shear wall systems

    Current shear force distribution underestimatesthe shear forces at the upper levels

    Design shear forces for large or over-designed

    shear walls must be addressed The material factors (c, s) for capacity design

    must be reconsidered.

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    DiscussionsBoundary Regions with TDY-2007

    Boundary region length, 0.2lw, is a rough

    approximation, for some cases produces smallerlengths when compared with ACI 318-08

    TDY-2007 requires almost two times less

    transverse reinforcement at the boundary regionsthen ACI 318-08

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    Shear Wall Design

    Part II

    Normal Ductility TDY 2007Ordinary Shear Walls IBC 2005

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    Limitations

    Lateral Load CarryingSystem

    R B C D E F

    Ordinary RC Walls 5 NL NL NP NP NP

    Dual System with

    Ordinary RC Walls

    6 NL NL NP NP NP

    Lateral Load Carrying System R

    Shear Walls Only

    Normal Ductility

    4

    Dual System

    Normal Ductility

    4

    IBC 2005IBC 2005

    TDYTDY--20072007

    Permitted for allEarthquake Regions

    Seismic Design Category(based on seismic hazard)

    NL: Not LimitedNP: Not Permitted

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    Flexural Design

    ACI 318-08 No need for boundary regions

    min = 0.0015

    smax = 45 cm TDY-2007

    Boundary Regions are formed as in High

    Ductility System min = 0.0025

    smax = 25 cm

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    Flexural Design

    Results

    TDY-2007 ACI 318-08

    Storey

    Longitudinal +Boundary

    Reinforcement(mm)

    LongitudinalReinforcement

    (mm)

    1 2810/200+1222/200 3022/370

    2 2810/200+1218/200 3016/370

    3-12 4010/200+618/200 3010/370

    WTDY = 2.00 * WACI

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    Shear Design

    ACI 318-08 Ve = Vd No need for boundary regions min = 0.0025 smax = min (45 cm, 3bw, lw/5)

    TDY-2007 Ve = 2Vd Boundary Regions are formed as in High Ductility

    Design min = 0.0025 smax = 25 cm

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    Shear Capacity

    Concrete

    +=

    w

    uckc

    l

    dNdhfV

    .4

    ...27,01

    dh

    lVM

    hl

    Nfl

    fV

    w

    u

    u

    w

    uckw

    ckc ..

    2

    .2,01,0

    05,02

    +

    +=

    TDY-2007

    cvckc AfV .15.0=

    Shear Cracks at the centroid of the wall

    Shear Cracks due to bending at lw/2

    Vc = min (Vc1, Vc2)

    ACI 318-08

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    Shear Capacities - Concrete

    VcTDY-2007

    Vc1 Vc2Vc

    ACI 318-08

    12 StoreyShear Wall only5.2 m, 1. Level

    1295,9 kN 1804,3 kN 452,9 kN 452,9 kN

    5 StoreyDual System4.4 m, 1. Level

    1079,9 kN 1040,2 kN 410,7 kN 410,7 kN

    5 StoreyShear Walls only6.24 m, 3. Level

    1555,1 kN 1416,8 kN 3258,3 kN 1416,8 kN

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    Shear Design

    Results 4.4m long wall

    TDY-2007 ACI 318-08

    Storey Vu (kN)Shear + Boundary

    ReinforcementVu (kN)

    ShearReinforcement

    1 2563.26 10/100+8/100 1281.63 10/250

    2 2293.08 10/250+8/100 1146.54 10/250

    3 2215.82 10/250+8/200 1107.91 10/250

    4-12 - 10/250+8/200 - 10/250

    WTDY = 1.35 * WACI

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    Shear Design

    Results 5.2m long wall

    TDY-2007 ACI 318-08

    Storey Vu (kN)Shear +

    BoundaryReinforcement

    Vu (kN)Shear

    Reinforcement

    1 3442.52 12/200+8/100 1721.26 12/275

    2 3500.00 12/200+8/100 1750.00 12/275

    3 3471.88 12/250+8/200 1735.94 12/285

    4 3330.70 12/250+8/200 1665.35 10/250

    5 3143.16 12/250+8/200 1571.58 10/250

    6 2904.72 12/250+8/200 1452.36 10/250

    7-12 2619.80 10/250+8/200 1309.90 10/250

    WTDY = 1.6 * WACI

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    TDY Normal Ductility Walls vs

    EC8 DC-M (Medium Ductility) Walls

    Utilizes momentsobtained from analysis

    For every section ofthe wall, Ve = 2.0 Vd

    No shear forceenvelope

    Forms boundaryregions

    Utilizes momentenvelope as in highductility design

    Base Shear Design

    Moment Ve = 1.5 Vd For dual systems,

    shear force envelopemust be used as in

    high ductility design Forms boundaryregions

    TDYTDY--20072007 EC8, DCEC8, DC--M WallsM Walls

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    Discussions

    Normal ductility shear walls are neither

    similar to ordinary shear walls of ACI norDC-M walls of EC8

    The amount of reinforcement required by

    TDY for normal ductility walls issignificantly more than what ACI requires

    The design forces used for designingnormal ductility walls are less than theones required for the design of DC-Mwalls

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    Conclusions

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    High Ductility Walls

    We have to decide

    whether we want to usecapacity design approachin shear wall design

    YES! NO!

    The current section for the

    high ductility walls shouldbe rewritten

    The current equations do not

    calculate the design forcescorrectly, they must bemodified

    ?

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    Normal Ductility Walls

    We have to decide whether we

    want to construct ductile wallseverywhere in Turkey

    YES! NO!

    Current specifications fornormal ductile walls arenot sufficient to providesuch ductility

    We are puttingsignificant amount

    of unnecessaryreinforcement to theshear walls

    ?

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    Thank you

    Questions?