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Flange Plate Moment Connection

Jun 02, 2018

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  • 8/11/2019 Flange Plate Moment Connection

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Design a moment connection using a bolted

    flange-plate

    Connect a W18x50 beam to the flange of a

    W14x99 column

    Use 50 ksi wide-flanges and 36 ksi plates

    -

    1

    45.0 kips 250 ft-kipsu uR M= =

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Connection geometry

    2

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Shapes

    W18x50

    W14x99

    318.0 in. 7.50 in. 101 in.

    0.355 in. 0.570 in.

    f x

    w f

    d b Z

    t t

    = = =

    = =

    3

    . n. . n. . n.

    0.485 in. 0.780 in. 10 in.

    f des

    w ft t T

    = = =

    = = =

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Proportion of members hole reductions

    Where (A992, A36)

    then

    u fn t y fgF A Y F A

    Bolt Limit StateWhen the clear end distance or the clear bolt spacing isgreater than or equal to 2 bolt diameters, bearing strength

    will control

    When the clear end distance or the clear bolt spacing is lessthan 2 bolt diameters, tear out strength will control

    Generally, bolt spacing and end distances are standardized.

    8

    A standard bolt spacing of 3 inches is common. Thus,for all bolts of 7/8 inch diameter or less, only the end

    bolt will need to be checked for tear out. Interior boltstrength will be controlled by bearing.

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Plate shear yielding

    ( )( )

    5(0.6)(36)(9) 60.9 kips16

    1.0 60.8 60.8 kips 45.0 kips ok

    n

    n

    R

    R

    = =

    = = >

    9

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Plate shear rupture

    Block shear of plate

    shear rupture/tension rupture

    ( )

    7 51(0.6)(58) 9 3 65.3 kips8 8 16

    0.75 65.3 49.0 kips 45.0 kips ok

    n

    n

    R

    R

    = + =

    = = >

    10

    54.3 kips 45.0 kips

    ok

    nR = >

    7.5 in.

    1.5 in.

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  • 8/11/2019 Flange Plate Moment Connection

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Try PL 3/4x7 in.

    Check bearing on beam flange, which is more

    critical than plate, for one bolt

    For 8 bolts

    ( )( )72.4 (2.4)(65) 0.570 77.8 kips8n uR F dt= = =

    13

    ( )

    . ps

    0.75 622 467 kips 167.0 kips ok

    n

    nR

    = =

    = = >

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Check tension yielding of flange plate

    Check tension rupture of flange plate

    ( )

    (36)(7)(3/ 4) 189 kips

    0.9 189 170 kips 167 kips ok

    n

    n

    R

    R

    = =

    = = >

    7 31

    14

    ( )8 8 4

    0.75 218 164 kips 167 kips no good

    n

    nR = = <

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Consider a 7.25 in. flange plate

    ( )( )( )

    7 31(58) 7.25 2 228 kips8 8 4

    0.75 228 171 kips 167 kips ok

    n

    n

    R

    R

    = + =

    = = >

    15

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Check block shear of flange plate

    consider two possible failure patterns

    4.0 in. 7.25 in.4.0 in.

    A B

    16

    Based on the tension area, failure pattern B will be critical

    for the plate. Pattern B in the beam flange is critical for this

    case and will be checked.

    . n. . n.

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Determine shear yield and shear rupture

    Determine tension rupture, bf= 7.5 in.

    ( ) ( ) ( )[ ]

    ( ) [ ]

    0.6 0.6 50 10.5 0.570 2 359 kips

    7 10.6 0.6(65) 10.5 3.5 0.570 2 311 kips8 8

    y g

    u nv

    F A

    F A

    = =

    = + =

    17

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Block shear for pattern B with shear rupture thecontrollin term

    Determine weld size, top and bottom of plate

    ( )

    ( )

    311 92.6 404 kips

    0.75 404 303 kips 167 kips ok

    n

    n

    R

    R

    = + =

    = = >

    167

    18

    use a 3/8 fillet weld which is greater then theminimum

    min . s xteent s2(1.5)(1.392)(7.25)= =

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Check the compression flange plate

    The plate will be checked as a column with a

    length of 2.0 inches and K= 0.65

    The length comes from the end distance of 1.5

    inches and the spacing of the beam to the column

    of 0.5 inches

    19

    The K-factor is the recommended value for a

    fixed/fixed column

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Compression flange plate

    From J4.4

    3

    2 20.7512 0.2165 in.12 12

    bh

    I hr

    A bh= = = = =

    20

    ( )0.65 2.0 6.00 250.2165

    KL

    r= =

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    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Compression plate strength

    ( ) ( )

    ( )

    36.0 ksi

    36 (7.25) 0.75 196 kips

    0.9 196 176 kips

    cr y

    n

    n

    F F

    R

    R

    = =

    = =

    = =

    21

    Since the plate strength is greater than the

    required 167 kips, the compression plate willbe the same as the tension plate.

    Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate

    Summary

    top and bottom plates

    8 -7/8 in. A325-N bolts each flange on a 4 inch

    gage

    3/8 in. fillet welds to su ortin column flan e

    PL x 7 x 1'-0 "4 4 2

    22

    Check column for stiffening requirements

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    Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States

    ens on ange oca en ng

    ( )26.250.90 (LRFD) 1.67 (ASD)

    n f yR t F=

    = =

    23

    ( )

    ( . )( . ) ( ) ps

    0.9 190 171 kips 167 kips ok

    n

    nR

    = =

    = = >

    Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States

    Tension web local yielding

    Compression web local yielding

    24

    everything is the same as it was for tension

    ok

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    Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States

    Compression - web crippling

    Compression buckling

    1.5

    2 0.485 29000(50)(0.780)(0.8)(0.485) 1 3 kips14.2 0.780 0.

    1.50332

    332 24

    485

    0.75( ) kips 167 kips ok 9

    n

    n

    R

    R

    = + =

    = = >

    25

    since this is a one sided connection there will not

    be compression buckling failure.

    Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States

    Panel Zone Shear

    Without the knowledge of the lateral load on the

    structure, this can not be checked; however, the

    strength can be determined. Assuming the column

    axial load is < 0.4Py

    26

    ( )0.6 50 14.2 0.485 207 ps

    0.9 207 186 kips

    n

    n

    R

    R= =

    = =

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    Welded flange plate connection

    no reduction in beam moment strength

    web shear plate design doesnt change

    flange plate width to accommodate weld to

    beam flange along edge of plate

    no rupture of plate or beam flange

    27

    welds sized according to element thickness as

    well as strength