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    ENCE 710Design of SteelStructures

    VI. Plate GirdersC. C. Fu, Ph.D., P.E.

    Ci il and En iron!ental EngineeringDe"art!ent

    #ni ersit$ of %ar$land

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    IntroductionFollo&ing su'(ects are co ered)

    %o!ent strength

    Shear strengthInter!ediate trans erse sti*ener+earing sti*ener

    eading)Cha"ters 11 of Sal!on - ohnson/ISC FD S"eci cation Cha"ters + 2Design

    e3uire!ents4 and F 2Design of %e!'ers forFle5ure4 and G 2Design of %e!'ers for Shear4

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    6$"ical Plate Girders

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    /ISC

    i!itingatios

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    /ISC Design of %e!'ers forFle5ure

    2a'out %a(or /5is4

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    +ea! sPlateGirder

    2for dou'l$ s$!!etric I sha"ed

    Plate Girder) / dee"'ea!

    8Slender9 &e' "ro'le!s)

    1.:e' 'uc;ling

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    Vertical +uc;ling2the co!"ression =ange4

    2a4 ateral 'uc;ling

    2'46orsional 'uc;ling

    2c4 Vertical 'uc;ling

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    /ISC %a5i!u! :e' h?t &Sti*ened girder 2for a/h 1.5)

    h/t w = 11.7 E/Fy 2/ISC F1>.>4

    Sti*ened girder 2for a/h @ 1.A4

    h/t w 0.42E/F y 2/ISC F1>.B42S - 6a'le 11.>.14

    #nsti*ened girder h/t w 260

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    /ISC No!inal %o!ent

    StrengthIf h/t w 5.70E/F y /ISC 6a'le +B.1 treated as rolled 'ea!sIf h/t w > 5.70E/F y

    Case 1 Co!"ression =ange $ieldingMn = R pg F y S xc 2FA 14

    Case < ateral 6orsional +uc;lingMn = R pg F cr S xc 2FA r 2FA B, A, 4

    2for : +4

    a & ratio of &e' area to co!"ression =ange area 2 104h c < 5 centroid to inside face of the co!"ression =ange

    ( ) y pr

    pb y ybcr F

    L L

    L L F F C F

    = 3.0

    2

    2

    =

    t

    b

    bcr

    r

    L

    E C F

    yt r F

    E r L

    7.0 =

    170.53001200

    1

    += yw

    c

    w

    w pg F

    E

    t

    h

    a

    a R

    6/1(12 w fc

    t abr +=

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    /ISC No!inal %o!entStrength 2cont.4

    Case > Co!"ression =ange local 'uc;lingMn = R pg F cr S xc 2FA 74

    F cr a. # # p $ F cr = F y ". # p ! # # r $

    2FA 4

    c. # > # r $ 2FA H4

    % c = 4/&h/t w ) and 0.'5 % c 0.76'Case B 6ension =ange $ielding 2S 5t S 5c 4

    Mn = R pt F y S xt 2FA 104

    ( )

    = pf rf

    pf y ycr F F F

    3.0

    2

    2

    9.0

    =

    f

    f

    ccr

    t

    b

    k F

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    i!itStates inFle5ure

    for "late girder&ith slender&e' 2/ISC FA4

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    Co!"arison of 6+

    2/ISC FA &ith /ISC F

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    Classical Shear 6heor$2a""lied to "late girder &e'"anel4

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    Inter!ediate Sti*ener

    S"acing

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    /ISC No!inal ShearStrengthIf h/t w 1.10 &% ( E/F y )

    n = 0.6 * wF y sa!e as rolled 'ea! 2G> 14

    If h/t w > 1.10 &% ( E/F y )

    2G>

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    /ISC No!inal ShearStrength 2cont.4

    For 1.10 &% ( E/F y ) h/t w 1.'7 &% ( E/F y )

    - ( = 1.10 &% ( E/F y ) / &h/t w ) 2G< B4

    For h/t w > 1.'7 &% ( E/F y )

    - ( = 1.51 % ( E/+&h/t w ) 2F y , 2G< A4

    % ( = 5 5/&a/h) 2 if a/h ' and +260/&h/t w ), 25 other&ise

    2S - Fig. 11. .>4

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    Shear Ca"acit$ / aila'le

    Figure 11.8.1 Shear ca"acit$ a aila'le, considering "ost 'uc;lingstrength.

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    6ension Field /ction.

    Figure 11.8.2 6ension eld action.

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    +uc;ling of Plate Girder :e'

    Figure 11.7.3+uc;ling of "late girder&e' resulting fro!shear aloneJ/ISC G4

    M:n. t = w/&0.56/E/F y )

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    E5a!"le Girder loading and su""ort fordesign

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    E5a!"le

    Factored !o!entand factored shearen elo"es for t&os"an continuous'ea! of illustrati ee5a!"le

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    E5a!"le Design S;etch