T Beam.xls

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  • 7/28/2019 T Beam.xls

    1/8

    T Beam Analysis Input values in cells colored yellow - cells C3

    f'c = 4000 psi

    fy = 60000 psi

    beff= 45 in.bw = 12 in.

    d = 19.5 in.

    hf= 4 in.

    As = 1.73984 in2

    b1 = 0.85

    0.74 in2

    -

    -

    As min = 0.78 in2

    minimum

    0.78 in2

    hf: a < hf so this analyse is not valid

    k-in

    7.48 in 7854

    5105

    Asw = As - Asf= -5.74

    -8170-8.44 -5310

    - k -in = -

    c = a/b1 = -9.93

    -0.008891 beam is not ductile - co

    bw bw

    beff

    clear spanbetweenparallel Tbeams

    ==bf

    fAa

    c

    ys

    '85.0

    =

    =003.0c

    cd

    t

    =

    =y

    fwc

    sff

    hbbfA

    )(85.0 '

    == )2

    ()2

    (a

    dfAh

    dfAM yswf

    ysfn

    =

    = 003.0c

    cdt

    == dbf

    fA w

    y

    c

    s

    '

    min

    3

    == db

    f

    A wy

    s

    200min

    ==bf

    fAac

    ysw

    '85.0

    ( )2nw sw y

    a

    M A f d= =

    ( )2

    f

    nf sf y

    hM A f d= =

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    f = 0.65

    fMn = - k -in =see solution

    above ft-k

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    through C9

    teel is OK

    k - ft

    = Mnf = 654.5

    = Muf = 425.4

    = Mnw = -680.8= Muw = -442.5

    ft-k

    or z = #VALUE!

    e violation

    hf

    d

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    T Beam Design Input values in cells colored yellow - cells

    f'c = 3000 psi

    fy = 60000 psi

    beff= 79 in.bw = 15 in.

    d = 26 in.

    hf= 4 in.

    Mu = 1497.5 ft-k

    -

    b1 = 0.85

    Mtu = 1450.4 ft-k

    If a < hf

    373.88 in. a > hf so this analysis is not valid -

    0.006771

    4.142038 in.

    c = a/b1 = 4.872986

    0.013007 -

    f = 0.9

    As = rbd = 13.90689 in

    If a > hf: a > hf so this analyse is valid - acts

    10.88 in2

    Muf

    = Asf

    fy

    (d - hf/2)1175.0 ft - k = 14100 k - in

    Muw = Muf - Mu 322.5 ft - k = 3870 k - in

    424.0

    0.007779

    bw bw

    beff

    clear spanbetweenparallel Tbeams

    bw bw

    beff

    clear spanbetweenparallel Tbeams

    ==2bd

    MR un

    f

    =

    = 003.0ccdt

    =

    =y

    fwc

    sff

    hbbfA

    )(85.0 '

    =

    =

    '

    '

    85.0

    211

    85.0

    c

    n

    y

    c

    f

    R

    f

    fr

    =='85.0 c

    y

    f

    dfa

    r

    ==2db

    MR

    w

    uw

    nwf

    =

    ='

    '

    85.0

    211

    85.0

    c

    nwc

    wf

    R

    f

    fr

    =As min3

    =As2

    min

    ==2bd

    MR un

    f

    =

    = 003.0ccdt

    =

    =y

    fwc

    sff

    hbbfA

    )(85.0 '

    =

    =

    '

    '

    85.0

    211

    85.0

    c

    n

    y

    c

    f

    R

    f

    fr

    =='85.0 c

    y

    f

    dfa

    r

    ==2db

    MR

    w

    uw

    nwf

    =

    ='

    '

    85.0

    211

    85.0

    c

    nwc

    wf

    R

    f

    fr

    =As min3

    =As2

    min

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    4.759 in.

    c = a/b1 = 5.599 in.

    0.0109 -f = 0.9 -

    A sw = rwb wd = 3.03 in

    A s = A sw + A sf = 13.91 in2

    Note: Solution is based onf = 0.9

    =

    =003.0c

    cd

    t

    =='

    85.0 c

    yw

    f

    dfa

    r

    =As min3

    =As2

    min

    =

    =003.0c

    cd

    t

    =='

    85.0 c

    yw

    f

    dfa

    r

    =As min3

    =As2

    min

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    C3 through C9

    o to box below

    1.068059 in2

    -

    -

    1.3 in2

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    1.068059 in2

    -

    -

    1.3 in2