moment distribution method on structural member

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  • 8/9/2019 Moment Distribution Method on Structural Member

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    I.

    Input

    Fy 414Mpa

    Fb 248.4Mpa

    DL 3.2

    LL 3.6

    24

    4m

    3.2m

    2.88m

    3.6m

    1.08m

    I 1

    B1

    Wu 10.6kPa

    Wall Load 18.48kN/m

    Slab Wt.

    11.306666666!kN/m

    10.1!6kN/m

    11.30

    4

    k 0.18!" 0

    DF1 0.3!"0.62"

    F#M0 24.640 $2".418

    0 0.2%20.486

    0.146 0.000 $1."30$0.146 0."!40.%"6

    0 28! 0 0!3 0 066

    kN/m2

    kN/m2

    γ&on& kN/m3

    L1

    L2

    L3L

    4

    L"

    L2

    L3

    DM1

    '(M1

    DM2

    '(M

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    $0.28! 0.0"20.08!

    0.026 $0.143 $0.304

    $0.0!2 0.0130.022

    0.0!2 $0.013 $0.022

    $0.00! 0.0360.0!6

    0.00! $0.042 $0.0!0

    $0.021 0.0030.00"

    0.002 $0.010 $0.01!

    $0.002 0.0100.01!

    0.00" $0.001 $0.001

    0.000 0.0030.004

    0.000 $0.003 $0.004

    $0.001 0.0000.000

    0.001 0.0000.0000.000 0.0010.001

    0.000 $0.001 $0.001

    0.000 0.0000.000

    0.000 0.0000.000

    #M0.010 2".338 $2".!!%

    2".!!%41!2!2"kN$m

    103!81.8!30!!%

    )ay 103.!818!30!!%

    )ay 120

    D*)+,nat+on S-

    W150 x 14 %1.1120!"84

    W150 x 18 11%.!8%43!84

    say use : W150 x

    B2

    3.6

    DM3

    '(M3

    DM4

    '(M4

    DM"

    '(M"DM

    6

    '(M6

    DM!

    '(M!

    DM8

    '(M8

    DM%

    '(M%DM

    10

    '(M10

    DM11

    '(M11

    Muma-

    S-*d mm3

    -106 mm3

    -106 mm3

    -106 mm3

    -106 mm3

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    DF1 0."000."00

    F#M0 0.0000.000

    0 0.0000.000

    0.000 0.000 $0."00

    0.000 0.1880.313

    0.0%4 0.0000.2!3$0.0%4 $0.102 $0.1!0

    $0.0"1 $0.04! $0.14%

    $0.023 $0.026 $0.043

    0.023 0.0260.043

    0.013 0.0120.023

    $0.013 $0.013 $0.022

    $0.00! $0.006 $0.013

    $0.003 $0.003 $0.00"0.003 0.0030.00"

    0.002 0.0020.003

    0.001 0.0010.001

    $0.001 $0.001 $0.001

    0.000 0.000 $0.001

    0.000 0.0000.001

    0.000 0.0000.000

    0.000 0.0000.000

    0.000 0.0000.000

    0.000 0.0000.000

    #M$0.0"6 0.032 $0.242

    0.24231"4"2!kN$m

    11880"6611.4%%

    )ay 11880"6.6114%%)ay 1188060

    D*)+,nat+on S-

    W360 x 1086 !%14.%"1%12

    W360 x 1086 !%14.%"1%12

    say use : W360 x

    B3

    DM1

    '(M1

    DM2

    '(M2DM

    3

    '(M3

    DM4

    '(M4

    DM"

    '(M"

    DM6

    '(M6

    DM!

    '(M!

    DM8

    '(M8

    DM%

    '(M%

    DM10

    '(M10

    DM11

    '(M11

    Muma-

    S-*d mm3

    -10

    6

    mm

    3

    -106 mm3

    -106 mm3

    -106 mm3

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    Wall Load 0kN/m

    Slab Wt.

    %!168!31!8.2!4kN/m

    %!168!31!8.2!4kN/m

    11.30

    4

    k 0.18!" 0

    DF1 0.3!"0.62"

    F#M0 0.000 $2".418

    0 %."321".886

    4.!66 0.000 $1."30

    $4.!66 0."!40.%"6

    0.28! $2.383 $2.166

    $0.28! 1.!062.843

    0.8"3 $0.143 $0.304

    $0.0!2 0.4260.!11

    0.0!2 $0.426 $0.!11

    $0.213 0.0360.0!6

    0.213 $0.042 $0.0!0

    $0.021 0.10!0.1"8

    0.0"3 $0.010 $0.01!

    $0.0"3 0.0100.01!

    0.00" $0.02! $0.040$0.013 0.0030.004

    0.013 $0.003 $0.004

    $0.001 0.00!0.010

    0.001 $0.006 $0.010

    $0.003 0.0010.001

    0.003 $0.001 $0.001

    0.000 0.0020.003

    0.000 $0.002 $0.003#M0.83! %.3"% $%.608

    L2

    L3

    DM1

    '(M1

    DM2

    '(M2

    DM3

    '(M3DM

    4

    '(M4

    DM"

    '(M"

    DM6

    '(M6

    DM!

    '(M!DM

    8

    '(M8

    DM%

    '(M%

    DM10

    '(M10

    DM11

    '(M11

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    2!.1%4kN$m

    10%4!8.4%63!48

    )ay 10%.4!84%63!48

    )ay 120

    D*)+,nat+on S-

    W150 x 14 %1.1120!"84

    W150 x 18 11%.!8%43!84

    say use : W150 x

    Muma-

    S-*d mm3

    -106 mm3

    -106 mm3

    -106 mm3

    -106 mm3

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    1.08

    2."2

    1.2

    1.2

    1.2

    DL

    Floo+n, 480

    '*+l+n,/#l*&. 320Wt. o Slab 2.4kPa

    t 0.0!"""""""6m

    )ay 0.1m

    6666666! 10.1!6

    8.48

    3.2 2.88

    .312" 0.260416666!

    0."4"0.4"" 1

    2".418 $1%.80! 0

    $3.061 $2.""0 0

    0.2430.000 $1.2!"$0.133 $0.111 1.2!"

    0 4!80 638 0 0""

    N/m2

    N/m2

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    $0.60% $0."0! 0.0""

    0.0440.028 $0.2"4

    $0.1"2 $0.12! 0.014

    0.1"20.12! $0.014

    $0.011 $0.00! 0.063

    0.0100.008 $0.063

    $0.03" $0.032 0.004

    0.0020.002 $0.016

    $0.002 $0.002 0.016

    0.00%0.008 $0.001

    $0.001 $0.001 0.004

    0.0010.001 $0.004

    $0.002 $0.002 0.000

    0.0020.002 0.0000.0000.000 0.001

    0.0000.000 $0.001

    $0.0010.000 0.000

    0.0010.000 0.000

    22.3"4 $22.333 $0.2"1

      18

    3.6

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    1.000

    0.000

    $1.000

    0.000

    0."4"

    0.1"6$0.2%8

    $0.08"

    $0.0!4

    0.046

    0.021

    $0.02"

    $0.011

    $0.0060.006

    0.003

    0.001

    $0.001

    $0.001

    0.001

    0.000

    0.000

    0.000

    0.000

    $0.!21

      1086

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    Floo+n, 480

    '*+l+n,/#l*&. 320

    Wt. o Slab 0kPa

    t 8!.%43%101333m

    )ay 8!.%"m

    6666666! 10.1!6

    8.48

    3.2 2.88

    .312" 0.260416666!

    0."4"0.4"" 1

    2".418 $1%.80! 0

    $3.061 $2.""0 0

    !.%430.000 $1.2!"

    $4.333 $3.611 1.2!"

    0.4!80.638 $1.80"

    $0.60% $0."0! 1.80"

    1.4220.%03 $0.2"4

    $0.1"2 $0.12! 0.4"1

    0.1"20.12! $0.4"1

    $0.3"" $0.226 0.063

    0.31!0.264 $0.063

    $0.03" $0.032 0.132

    0.0!%0.066 $0.016

    $0.0!% $0.066 0.016

    0.00%0.008 $0.033$0.020 $0.01! 0.004

    0.0200.01! $0.004

    $0.002 $0.002 0.008

    0.0020.002 $0.008

    $0.00" $0.004 0.001

    0.00"0.004 $0.001

    $0.0010.000 0.002

    0.0010.000 $0.0022!.1%4 $24.%20 $0.1""

    N/m2

    N/m2

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    1 $ 'ont+nuou) 3

    3."

    4 3.2 2.88

    3.6

    3.6

    2 $ o )pan &ont+nuou) b*am /2.1m 5+,5 4 d+7+d+n,

    9ot5 )+d*) 2" mm pal)t*+n,:

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      )pan b*am /

    m 5+,5 +* all 6 ' all

    9ot5 )+d*) pla)t**d 2"mm:

     

    3 $ 3 )pan 'ont+nuou) *am /  

    2.4m 5+,5 d+7+d+n, 4 ' all  

    9ot5 )+d*) pla)t**d 1:  

    ' all.  

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    W+d* Flan,* S

    *)+,nat+o

    5*o*t+&al;*a D*pt5

    Flan,*

    Ma)) W+dt5 5+&kn*))

    9k,/m: 9mm: 9mm: 9mm:W100 - 1% 1%.4 2

    W1"0 - 18 18.0 2W1"0 - 3! 3!.1 4

    W200 - 1" 1".0 1

    W2"0 - 33 32.! 4

    W2"0 - 4% 4%.0 6

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    2"0 - 14 148.% 18

    310 - 2" 2"2.% 32

    W360 - "1 "0.6 6

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    360 - 13 134.0 1!360 - 16 1"6.0 20

    360 - 1% 1%6." 2"

    360 - %0 %02.2 114

    W410 - 46 46.2 "410 - 11 114." 14

    W460 - 82 81.% 10

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    460 - 10 10".8 13

    "30 - 12 123.2 1"

    610 - 14 140.1 1!

    610 - 1% 1%".6 24

    6%0 - 12 12".6 1"

    !60 - 1! 1!3.6 22

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    !60 - 28 283.% 36

    840 - 22 226.6 28

    %20 - 22 224.2 28

    %20 - 34 342.4 43

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      &t+on Pop*t+*)

    W*b ;-+) =$= ;-+) >$>

    5+&kn*)) I S I S

    9mm: 9mm: 9mm:!.11 4.!0 8%.4! 43.6% 1.61 31.14 2".40

    6.10 8.8! 13%.4" "4.10 3.13 4%.16 32.26

    6.86 10.%1 16!.1" "".12 3.80 "%.4% 32."1

    4.32 6.83 %1.11 62.!4 0.%1 18.1% 22.%%

    ".84 %.20 11%.!% 63.2" 1.24 24."8 23.32

    ".84 12.11 1"%.28 6".02 3.88 "0.%6 3!.08

    6.60 13.36 16!.1" 66.04 1.84 36.0" 24."4

    6.60 1!.23 21%."% 6!."6 "."4 !2.2! 38.10

    8.13 22.23 2!3.66 68."8 !.12 %1.%3 38.61

    4.32 12.82 12!.%8 81.!% 0.8! 1!.3! 21.36

    ".84 16.48 162.40 81."3 1.14 22.4" 21.41

    6.22 1%.%8 1%3.3! 83."! 1.42 2!.86 22.2"

    ".84 2".!6 24%.08 8!.12 3.32 4%.82 31.24

    6.3" 31.34 2%8.24 88.6" 4.0! 60.80 32.00

    6.22 34.46 342.4% 86.8! !.62 %2.26 40.8%

    !.24 40.!% 3%8.21 8!.63 %.03 108.6" 41.1"

    !.24 4".!% 4"0.64 88.14 1".44 1"1.%1 "1.31!.8! "2.86 "11.28 8%.1" 1!.!3 1!3.!0 "1."6

    %.14 60.!! "81.!4 8%.66 20.44 1%%.%2 "1.82

    10.16 !6."% !0%."6 %1.6% 2".3" 24".81 "2.83

    12.%" %4.%0 8"2.13 %2.!1 31.26 2%%.88 "3.34

    14.48 113.21 %8%.!8 %4.4% 36.88 3"0.68 "3.8"

    4.83 22.3% 1!8.62 %%.06 0.%1 18.03 1%.%4

    ".84 28.68 226.14 100.33 1.20 23.!6 20."!

    6.10 34.0% 26".4! 102.8! 1.48 2%.1! 21.44

    6.3" 40.08 308.08 10".16 1.!% 3".0! 22.20

    6.10 4%.12 380.18 108.46 4.!" 6".06 33.!86.60 "%.%4 4"!.20 110.4% ".8! 80.13 34."4

    !.62 !0.!6 "30.%4 111.2" 6.%" %4.23 34.80

    !.3! !0.!6 "!3."" 106.43 1".23 1"0.!6 4%.28

    8.00 86.%% 68%.%0 108.46 18.!3 18".1! "0.2%

    8.8% 103.23 804.60 10%.!3 22.23 21!.%" "1.0"

    8.64 113.21 8%4.!3 110.4% 38.88 306.44 64."2

    %.40 126.12 %83.22 111.00 42.8! 33!."! 6".02

    10.6! 141.%3 1

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    1!.2! 2"%.31 1

    1".4% 388.34 2

    4".0% 1

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    11.18 41".82 2

    2!.18 1

    6.%% 1"6.0% !!3.4! 162.81 ".16 !3."8 2%.!2

    !.4% 186.4! %2".8! 16".3" 10.20 114.!1 38.61

    !.!" 21".61 1

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    12."! 486.%% 2

    16.64 %11."" 3

    %.6" 40%."! 1

    10.%2 64".16 2

    16."1 1

    1".3! 216.!6 2

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    18.03 3

    14.!3 2

    16.13 31%.6% "

    1".88 3

    21.08 "

    21.34 !

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    S

    8%.4! W100 - 1%

    %1.11 W1"0 - 14

    11%.!% W1"0 - 18

    12!.%8 W200 - 1"13%.4" W130 - 24

    1"%.28 W1"0 - 22

    162.40 W200 - 1%

    16!.1" W130 - 28

    16!.1" W1"0 - 24

    1!8.62 W2"0 - 18

    1%3.3! W200 - 22

    21%."% W1"0 - 30

    226.14 W2"0 - 22

    244.1! W310 - 21

    24%.08 W200 - 2!

    26".4! W2"0 - 2"

    2!3.66 W1"0 - 3!

    280.22 W310 - 24

    2%8.24 W200 - 31

    308.08 W2"0 - 28

    342.4% W200 - 3634%.04 W310 - 28

    380.18 W2"0 - 33

    3%8.21 W200 - 42

    416.23 W310 - 33

    4"0.64 W200 - 46

    4"!.20 W2"0 - 3%

    4!".22 W360 - 33

    "11.28 W200 - "2

    "30.%4 W2"0 - 4"

    "4!.33 W310 - 3%"!3."" W2"0 - 4%

    "!8.46 W360 - 3%

    "81.!4 W200 - 60

    62%.26 W410 - 3%

    632."4 W310 - 4"

    688.26 W360 - 4"

    68%.%0 W2"0 - "8

    !0%."6 W200 - !1

    !4!.2" W310 - "2!!3.4! W410 - 46

    !%6 41 W360 "1

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    804.60 W2"0 - 6!

    8"0.4% W310 - 60

    8"2.13 W200 - 86

    8%4.!3 W2"0 - !3

    8%4.!3 W360 - "!

    %2".8! W410 - "4

    %43.8% W460 - "2

    %"2.0% W310 - 6!

    %83.22 W2"0 - 80

    %8%.!8 200 - 100

    1

    1

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    22

    3

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    4

    4

    6

    6

    6%

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    ??? %20 - 28%

    ??? 840 - 2%%

    ??? 360 - 634

    ??? %20 - 313

    ??? 360 - 6!!

    ??? 840 - 32%??? 840 - 3"%

    ??? %20 - 342

    ??? 360 - !44

    ??? %20 - 36"

    ??? 360 - 818

    ??? %20 - 38!

    ??? %20 - 41!

    ??? 360 - %00??? %20 - 446

    ??? 360 - %%0

    ??? 360 - 1086

    9-103 mm3:

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    W100 - 1% 8%.4!

    W130 - 24 13%.4"

    W130 - 28 16!.1"

    W1"0 - 14 %1.11W1"0 - 18 11%.!%

    W1"0 - 22 1"%.28

    W1"0 - 24 16!.1"

    W1"0 - 30 21%."%

    W1"0 - 3! 2!3.66

    W200 - 1" 12!.%8

    W200 - 1% 162.40

    W200 - 22 1%3.3!

    W200 - 2! 24%.08

    W200 - 31 2%8.24

    W200 - 36 342.4%

    W200 - 42 3%8.21

    W200 - 46 4"0.64

    W200 - "2 "11.28

    W200 - 60 "81.!4

    W200 - !1 !0%."6

    W200 - 86 8"2.13200 - 10 %8%.!8

    W2"0 - 18 1!8.62

    W2"0 - 22 226.14

    W2"0 - 2" 26".4!

    W2"0 - 28 308.08

    W2"0 - 33 380.18

    W2"0 - 3% 4"!.20

    W2"0 - 4" "30.%4

    W2"0 - 4% "!3.""

    W2"0 - "8 68%.%0W2"0 - 6! 804.60

    W2"0 - !3 8%4.!3

    W2"0 - 80 %83.22

    W2"0 - 8% 1

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    W310 - 28 34%.04

    W310 - 33 416.23

    W310 - 3% "4!.33

    W310 - 4" 632."4

    W310 - "2 !4!.2"

    W310 - 60 8"0.4%

    W310 - 6! %"2.0%

    W310 - !4 1

    310 - 1! 2

    310 - 41 6

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    360 - 1% 3360 - 63 11

    360 - 108 20

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    460 - 1" 3

    W"30 - !4 1

    "30 - 18 4

    610 - 21 66%0 - 12 3

    6%0 - 24 !

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    840 - 21 !

    %20 - 36 14

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    II.Given:

    M = 5000 kN-m

    a)7.2

    d/2 229.362

    12629.66

    y 297.3545699 mm

    Ix 427673575.3

    Iy 62865207.08

    3476.419716Mpa

    1970.772101Mpa

    A T   mm2

    mm4

    mm4

    f bt

    f b

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    b)

    4

    d/2 250

    16160

    y 0 mm

    Ix 522278401.6

    Iy 4525801.6

    229.763 Mpa

    229.763 Mpa

     

    D*)+,nat+on

    5*o*t+&a;*a D*pt5

    Flan,*

    Ma)) W+dt5 5+&kn*))

    A T   mm2

    mm4

    mm4

    f bt

    f b

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    9k,/m: 9mm2: 9mm: 9mm: 9mm:

    '!" - 06 6.00 !63.00 !6.00 3".00 6.%0

    '!" - 0! !.30 %33.00 !6.00 3!.00 6.%0

    '!" - 0% 8.80 1'130 - 1! 1!.20 2

    '200 - 28 2!.%0 3

    '310 - 4" 44.!0 "

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    W1"0 - 14 13.6 1

    W1"0 - 3! 3!.1 4

    W200 - 1" 1".0 1

    W2"0 - 33 32.! 4

    W2"0 - 4% 4%.0 6

    W2"0 - 16! 16!.4 21

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    W310 - 4" 44.6 "

    W310 - 2"3 2"2.% 32

    W360 - 3% 3%.1 4W360 - "1 "0.6 6

    W360 - 1%6 1%6." 2"

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    W360 - 262 262.! 33

    W360 - "0% "0%." 6"W410 - 46 46.2 "W410 - 114 114." 14

    W460 - 82 81.% 10

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    W"30 - 8" 84.! 10

    W"30 - 123 123.2 1"W610 - 101 101.! 12W610 - 1!4 1!4.3 22W610 - 241 241.! 30

    W6%0 - 240 236.% 30

    W!60 - 14! 14!.1 18

    W!60 - 161 160.4 20

    W840 - 1!6 1!6.0 22

    W840 - 210 210.8 26

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    W840 - 3"% 3"%.4 4"

    W%20 - 201 201.3 2"

    W%20 - 342 342.4 43

  • 8/9/2019 Moment Distribution Method on Structural Member

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    OUTPUT3476.4197

    1970.7721

    168.5694301288

    465.924

    297.3545698712

    C310 x 31

    A 3920

    Iy 1.59

    Ix 53.5

    x 17.5 mm

    7.2 mm

    W460 x 68

    A 8709.66

    d 458.724 mm

    Ix 296.357

    Iy 9.365

    f bt

    f bc

    mm2

    x 106 mm4

    x 106 mm4

    t!"b

    mm2

    x 106 mm4

    x 106 mm4

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    M = 480 kN-m

    30 x 500mm

    A 15000

    Ix 312500000

    Iy 1125000

    - 125x75x6

    A 1160

    Ix 1.92

    Iy 0.542

    x 16.3 mm

    y 41.3 mm

    '5ann*l S*&t+on Pop*t+*)

    W*b ;-+) =$= ;-+) >$>

    5+&kn*)) I S I S

    mm2

    mm4

    mm4

    mm2

    x 106 mm4

    x 106 mm4

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    9mm: 9-106 mm4: 9-103 mm3: 9mm: 106 mm 9-103 mm3:

    4.30 0.6! 1!.60 2%.60 0.08 3.21

    6.60 0.!" 1%.!0 28.30 0.10 3.6!

    %.00 0.8" 22.30 2!."0 0.12 4.31

    4.!0 1.61 31.60 3%.!0 0.13 4.6"

    6.30 1.!! 34.60 38.60 0.16 ".188.20 1.%1 3!.40 3!.30 0.1! "."2

    4.80 3.0% 48.60 4%."0 0.20 6.14

    8.30 3.66 "!.60 46.40 0.2" !.20

    12.00 4.36 68.!0 44.60 0.3" 8.8"

    ".10 ".36 !0.60 "%.00 0.28 !.%3

    8.00 6.22 81.%0 "6.00 0.3" %.13

    11.10 !.12 %3.!0 "3.%0 0.43 10.30

    ".30 8.86 %%.60 6%.20 0.41 10.30

    8.00 10.00 113.00 6".80 0.48 11.40

    10.60 11.30 12!.00 63.80 0."! 12.80".60 13."0 133.00 !8.%0 0."4 12.80

    !.!0 14.%0 14!.00 !".!0 0.63 13.%0

    12.40 18.20 180.00 !1."0 0.83 16.60

    ".%0 1%.80 1!3.00 88."0 0.!2 1".60

    !.20 21.30 186.00 86.60 0.81 16.80

    11.40 2"."0 222.00 81.%0 1.01 1%.30

    6.10 2!.80 21%.00 %8.20 0.%2 18.80

    %.60 32.!0 2"!.00 %3.00 1.16 21."0

    13.40 3!.%0 2%%.00 8%.30 1.40 24.301!.10 42.80 33!.00 86.%0 1.60 26.80

    !.20 "3."0 3"1.00 11!.00 1."% 28.20

    %.80 "%.%0 3%3.00 113.00 1.8" 30.%0

    13.00 6!.30 442.00 10%.00 2.12 33.60

    10.20 131.00 68!.00 143.00 3.3% "1.40

    13.20 14".00 !60.00 138.00 3.84 ""."0

    18.20 168.00 881.00 133.00 4.60 62.40

    ,* S*&t+on Pop*t+*)

    W*b ;-+) =$= ;-+) >$>

    5+&kn*)) I S I S

    9mm: 9mm:

    !.11 4.!0 8%.4! 43.6% 1.61 31.14

    6.10 8.8! 13%.4" "4.10 3.13 4%.16

    6.86 10.%1 16!.1" "".12 3.80 "%.4%

    9-106 mm4: 9-103 mm3: -106 mm4 9-103 mm3:

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    4.32 6.83 %1.11 62.!4 0.%1 18.1%

    ".84 %.20 11%.!% 63.2" 1.24 24."8

    ".84 12.11 1"%.28 6".02 3.88 "0.%6

    6.60 13.36 16!.1" 66.04 1.84 36.0"

    6.60 1!.23 21%."% 6!."6 "."4 !2.2!

    8.13 22.23 2!3.66 68."8 !.12 %1.%3

    4.32 12.82 12!.%8 81.!% 0.8! 1!.3!

    ".84 16.48 162.40 81."3 1.14 22.4"

    6.22 1%.%8 1%3.3! 83."! 1.42 2!.86

    ".84 2".!6 24%.08 8!.12 3.32 4%.82

    6.3" 31.34 2%8.24 88.6" 4.0! 60.80

    6.22 34.46 342.4% 86.8! !.62 %2.26

    !.24 40.!% 3%8.21 8!.63 %.03 108.6"

    !.24 4".!% 4"0.64 88.14 1".44 1"1.%1

    !.8! "2.86 "11.28 8%.1" 1!.!3 1!3.!0

    %.14 60.!! "81.!4 8%.66 20.44 1%%.%210.16 !6."% !0%."6 %1.6% 2".3" 24".81

    12.%" %4.%0 8"2.13 %2.!1 31.26 2%%.88

    14.48 113.21 %8%.!8 %4.4% 36.88 3"0.68

    4.83 22.3% 1!8.62 %%.06 0.%1 18.03

    ".84 28.68 226.14 100.33 1.20 23.!6

    6.10 34.0% 26".4! 102.8! 1.48 2%.1!

    6.3" 40.08 308.08 10".16 1.!% 3".0!

    6.10 4%.12 380.18 108.46 4.!" 6".06

    6.60 "%.%4 4"!.20 110.4% ".8! 80.13

    !.62 !0.!6 "30.%4 111.2" 6.%" %4.23

    !.3! !0.!6 "!3."" 106.43 1".23 1"0.!6

    8.00 86.%% 68%.%0 108.46 18.!3 18".1!

    8.8% 103.23 804.60 10%.!3 22.23 21!.%"

    8.64 113.21 8%4.!3 110.4% 38.88 306.44

    %.40 126.12 %83.22 111.00 42.8! 33!."!

    10.6! 141.%3 1

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    6.60 %%.06 632."4 132.33 8.4" 102.26

    !.62 118.63 !4!.2" 133.3" 10.20 122.41

    !.4% 12%.03 8"0.4% 130.30 18.36 180.26

    8."1 14".68 %"2.0% 130.81 20.81 203.20

    %.40 164.00 1

    13.%! 346.!2 23".43 1

    4".0% 1

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    21.08 8%0.!4 4

    2%.8" 1

    60.4" 36.3" 12".2% 62%.26 1"%.00 3.%% "!.1%

    6.%% 1"6.0% !!3.4! 162.81 ".16 !3."8

    !.4% 186.4! %2".8! 16".3" 10.20 114.!1

    !.!" 21".61 1

    12.1% 636.83 2

    13."% !28.40 3

    %.6" 40%."! 1

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    10.2% 486.%% 1

    16."1 1

    11.68 1

    16.!6 2

    1".3! 3

  • 8/9/2019 Moment Distribution Method on Structural Member

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    21.08 "

    20.32 6

  • 8/9/2019 Moment Distribution Method on Structural Member

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  • 8/9/2019 Moment Distribution Method on Structural Member

    58/98

    OUTPUT229.763

    229.763

    P!"etie# !f Une$%&' (n)'e *ecti!n#

    -

    f bt

    f bc

  • 8/9/2019 Moment Distribution Method on Structural Member

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    9mm: 9mm:   #$%" a&d t'$k&"(( T'". ma(( A*"a

    10.10 10.%0   +mm) +k,/m)

    10.10 10.80   200x150x25   63.8 8120

    10."0 11.40   200x150x20   51.8 6600

    11.40 11.60   200x150x16   42 5340

    11."0 11.60   200x150x13  34.4 4380

    11.30 11."0   200x100x20   44 5600

    12.40 12.20   200x100x16   35.7 4540

    12.20 11.%0   200x100x13   29.3 3730

    12.60 12.%0   200x100x10   22.8 2900

    13."0 12.80   150x100x16   29.4 3740

    13.30 12.60   150x100x13   24.2 3080

    13.20 12.%0   150x100x10   18.8 2400

    14.80 13.80   150x100x8   15.2 1940

    14.40 13.20   125x90x16   25 3180

    14.30 13."0   125x90x13   20.6 26301".80 14."0   125x90x10   16.1 2050

    1"."0 14.00   125x90x8   13 1660

    1".20 14.40   125x75x13   19.1 2430

    16.80 1".10   125x75x10   14.9 1900

    16.80 14.%0   125x75x8   12.1 1540

    16.30 14.80   125x75x6   9.14 1160

    1!.%0 1".%0   100x90x13   18.1 2300

    1!."0 1".30   100x90x10   14.1 1800

    1!.20 1".!0   100x90x8   11.4 146016.80 16.30   100x90x6   8.67 1100

    20.10 1!."0   100x75x13   16.5 2110

    1%.80 1!.10   100x75x10   13 1650

    1%.30 1!.00   100x75x8   10.5 1340

    23.00 20.00   100x75x6   7.96 1010

    22."0 1%.!0   90x75x13   15.5 1980

    22.00 20.30   90x75x10   12.2 1550

    90x75x8   9.86 1260

    90x75x6   7.49 954

    90x75x5   6.28 800

    90x65x10   11.4 1450

      90x65x8   9.23 1180

    9mm:   90x65x6   7.02 894

    2".40   90x65x5   5.89 750

    32.26   80x60x10   10.2 1300

    32."1   80x60x8   8.29 1060

    +mm2)

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    22.%%   80x60x6   6.31 804

    23.32   80x60x5   5.3 675

    3!.08   70x50x8   7.35 936

    24."4   70x50x6   5.6 714

    38.10   70x50x5   4.71 600

    38.61   65x50x8   6.72 856

    21.36   65x50x6   5.13 654

    21.41   65x50x5   4.32 550

    22.2"   65x50x4   3.49 444

    31.24   55x35x6   3.96 504

    32.00   55x35x5   3.34 425

    40.8%   55x35x4   2.7 344

    41.1"   55x35x3   2.05 261

    "1.31   45x30x6   3.25 414

    "1."6   45x30x5   2.75 350

    "1.82   45x30x4   2.23 284"2.83   45x30x3   1.7 216

    "3.34

    "3.8"

    1%.%4

    20."!

    21.44

    22.20

    33.!8

    34."4

    34.80

    4%.28

    "0.2%

    "1.0"

    64."2

    6".02

    6".28

    6".!%

    66.04

    66.806!.31

    68.0!

    1%.13

    1%.63

    20.88

    21."1

    38.3"

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    38.61

    3%.12

    4%.02

    4%.28

    4%.!8

    62.%%

    63.!"

    !6.!1

    !!.22

    !!.4!

    !!.%8

    !8.4%

    !8.%%

    !%."0

    80.26

    81.03

    81.!%

    82.""

    83.31

    84.0!

    84.84

    8".8"

    86.8!

    88.14

    26.42

    2!.433!.8"

    38.86

    3%.3!

    48.01

    48."1

    48.!!

    62.23

    62.48

    62.%%

    62.%%%3.%8

    %4.23

    %4.!4

    %".00

    %"."0

    101.0%

    101.60

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    102.11

    102.8!

    103.38

    104.14

    104.%0

    10".%2

    106.68

    10!.!0

    108.46

    10%.4!

    110.24

    111.2"

    112."2

    114.0"

    11"."!

    11!.3"

    11%.13

    28.4"

    2%.!2

    38.61

    3%.88

    3%.88

    40.3%

    40.64

    62.48

    62.!463.2"

    63.!"

    30.%%

    32.26

    32.!!

    41.%1

    42.42

    42.%3

    42.%3

    43.1866.2%

    66.80

    6!.31

    6!."6

    68.33

    32.00

    33.02

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    34.2%

    44.%6

    4".!2

    4".%!

    46.48

    46.!4

    !3.41

    !3.66

    !4.1!

    !4.42

    !4.%3

    34.04

    3".0"

    4!."0

    48.!!

    4%."3

    "0.2%

    !3.%1

    !4.68

    !".44

    !6.4"

    !!.4!

    "2."8

    "3.8"

    "4.61

    "".3!81."3

    82.30

    82.80

    "3.34

    "4.61

    "".63

    "6.64

    "!.1"

    8!.12

    8!.8888.6"

    "8.%3

    60.!1

    61.!2

    62.!4

    %0.42

    %1.1%

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    %2.20

    60.4"

    62.!4

    63."0

    64.26

    64.!!

    6".02

    6"."3

    %4.!4

    %".2"

    %6.01

    %6.!!

    %!.28

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  • 8/9/2019 Moment Distribution Method on Structural Member

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    Ax$( - Ax$( -

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    I #=I/ y I #=I/ x

    +mm) +mm) +mm) +mm)

    31.6 236 62.3 66.3 15.1 139 43.2 41.3

    26.2 193 63 64.5 12.7 115 43.8 39.5

    21.6 158 63.5 63.1 10.5 93.8 44.3 38.1

    17.9 130 64 62 8.77 77.6 44.7 37

    22.6 180 63.6 74.3 3.84 50.8 26.2 24.3

    18.7 147 64.2 72.8 3.22 41.8 26.6 22.8

    15.6 121 64.6 71.7 2.72 34.7 27 21.7

    12.3 94.8 65.1 70.5 2.18 27.4 27.4 20.5

    8.4 84.8 47.4 50.9 3 40.4 28.3 25.9

    7.03 70.2 47.8 49.9 2.53 33.7 28.7 24.9

    5.58 55.1 48.2 48.8 2.03 26.6 29.1 23.8

    4.55 44.6 48.5 48 1.67 21.6 29.3 23

    4.84 58.5 39 42.2 2.09 32 25.6 24.7

    4.07 48.6 39.4 41.2 1.77 26.7 26 23.73.25 38.2 39.8 40.1 1.42 21.1 26.4 22.6

    2.66 31.1 40.1 39.3 1.18 17.2 26.6 21.8

    3.82 47.1 39.6 43.9 1.04 18.5 20.7 18.9

    3.05 37.1 40 42.8 0.841 14.7 21 17.8

    2.5 30.1 40.3 42.1 0.697 12 21.3 17.1

    1.92 23 40.6 41.3 0.542 9.23 21.6 16.3

    2.17 31.4 30.7 31.1 1.66 25.9 26.8 26.1

    1.74 24.9 31.1 30 1.33 20.5 27.2 25

    1.43 20.3 31.4 29.3 1.1 16.8 27.5 24.31.11 15.5 31.7 28.5 0.853 12.8 27.8 23.5

    2.04 30.6 31.1 33.4 0.976 18 21.5 20.9

    1.64 24.2 31.5 32.3 0.791 14.3 21.9 19.8

    1.35 19.7 31.8 31.5 0.656 11.7 22.2 19

    1.04 15.1 32.1 30.8 0.511 9.01 22.4 18.3

    1.51 24.8 27.6 29.3 0.946 17.8 21.9 21.8

    1.22 19.7 28 28.2 0.767 14.1 22.2 20.7

    1.01 16.1 28.3 27.5 0.636 11.6 22.5 20

    0.779 12.3 28.6 26.8 0.495 8.89 22.8 19.3

    0.66 10.4 28.7 26.4 0.421 7.5 22.9 18.9

    1.16 19.2 28.3 29.8 0.507 10.6 18.7 17.3

    0.958 15.7 28.5 29.1 0.422 8.72 18.9 16.6

    0.743 12.1 28.8 28.4 0.33 6.72 19.2 15.9

    0.629 10.2 29 28 0.281 5.68 19.4 15.5

    0.808 15.1 24.9 26.5 0.388 8.92 17.3 16.5

    0.67 12.4 25.2 25.8 0.324 7.33 17.5 15.8

    *=I/A *=I/A

    +106 mm4) +103 mm3) +106 mm4) +103 mm3)

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    0.522 9.5 25.5 25.1 0.254 5.66 17.8 15.1

    0.443 8.02 25.6 24.7 0.217 4.79 17.9 14.7

    0.525 10.6 23.7 25.5 0.187 5.06 14.1 13

    0.41 8.15 24 24.7 0.148 3.92 14.4 12.2

    0.349 6.88 24.1 24.4 0.127 3.32 14.5 11.9

    0.351 8.03 20.2 21.3 0.18 4.97 14.5 13.8

    0.275 6.19 20.5 20.6 0.142 3.85 14.7 13.1

    0.235 5.24 20.7 20.2 0.122 3.27 14.9 12.7

    0.192 4.25 20.8 19.9 0.1 2.66 15 12.4

    0.152 4.23 17.4 19 0.048 1.85 9.77 9.04

    0.13 3.59 17.5 18.7 0.041 1.58 9.89 8.68

    0.107 2.92 17.7 18.3 0.034 1.29 10 8.31

    0.083 2.23 17.8 17.9 0.027 0.994 10.2 7.94

    0.082 2.79 14 15.7 0.029 1.32 8.35 8.22

    0.07 2.37 14.2 15.4 0.025 1.13 8.46 7.86

    0.058 1.94 14.3 15 0.021 0.93 8.58 7.490.045 1.49 14.5 14.6 0.016 0.717 8.72 7.12

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    Ax$( -

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    +mm)

    32 0.543

    32.1 0.549

    32.3 0.554

    32.5 0.557

    21.3 0.256

    21.4 0.262

    21.6 0.266

    21.8 0.271

    21.6 0.434

    21.7 0.44

    21.9 0.445

    22 0.448

    19.2 0.499

    19.3 0.50519.5 0.511

    19.6 0.515

    16.2 0.356

    16.3 0.363

    16.4 0.367

    16.6 0.372

    18.4 0.796

    18.5 0.8

    18.6 0.80218.7 0.805

    16 0.541

    16.1 0.549

    16.2 0.554

    16.3 0.559

    15.6 0.672

    15.7 0.679

    15.8 0.683

    15.9 0.687

    16 0.689

    13.9 0.506

    14 0.512

    14.2 0.518

    14.2 0.52

    12.8 0.543

    12.9 0.549

    *=I/A

    ta&

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    13 0.555

    13 0.558

    10.8 0.434

    10.9 0.441

    10.9 0.445

    10.6 0.572

    10.7 0.58

    10.8 0.583

    10.5 0.587

    7.55 0.396

    7.59 0.401

    7.65 0.406

    7.72 0.411

    6.44 0.426

    6.47 0.433

    6.51 0.4396.57 0.445

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    '5ann*l S*&t+on P

    D*)+,nat+on

    5*o*t+&al;*a D*pt5

    Flan,* W*b

    Ma)) W+dt5 5+&kn*))5+&kn*))

    9k,/m: 9mm2: 9mm: 9mm: 9mm: 9mm:

    '!" - 06 6.00 !63.00 !6.00 3".00 6.%0 4.30

    '!" - 0! !.30 %33.00 !6.00 3!.00 6.%0 6.60

    '!" - 0% 8.80 1'130 - 1! 1!.20 2

    '200 - 1! 1!.00 2

    '310 - 31 30.80 3

    '310 - 4" 44.!0 "

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    W130 - 24 23.6 3

    W1"0 - 22 24.0 2

    W200 - 1" 1".0 1

    W2"0 - 2" 2".3 3W2"0 - 4% 4%.0 6

    W310 - 21 21.1 2

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    W310 - 3% 38.! 4

    W310 - 2"3 2"2.% 32

    W360 - 4" 4".0 "

    W360 - "1 "0.6 6

    W360 - 1%6 1%6." 2"

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    W360 - 23! 236.3 30W360 - "0% "0%." 6"

    W460 - "2 "2.0 6

    W460 - 82 81.% 10

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    W"30 - !4 !4.! %

    W"30 - %" %2." 11

    W610 - 113 113.4 14W610 - 1!4 1!4.3 22

    W610 - 241 241.! 30

    W6%0 - 1"2 1"2.1 1%W!60 - 14! 14!.1 18

    W!60 - 161 160.4 20

    W840 - 1!6 1!6.0 22

    W840 - 210 210.8 26

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    W840 - 32% 32%.4 41

    W%20 - 238 238.3 30

    W%20 - 313 312.! 3%

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      p*t+*)

    ;-+) =$= ;-+) >$>-

    I S I S

    106 mm 103 mm 9mm: 106 mm 103 mm 9mm: 9mm:

    0.6! 1!.60 2%.60 0.08 3.21 10.10 10.%0

    0.!" 1%.!0 28.30 0.10 3.6! 10.10 10.80

    0.8" 22.30 2!."0 0.12 4.31 10."0 11.401.61 31.60 3%.!0 0.13 4.6" 11.40 11.60

    1.!! 34.60 38.60 0.16 ".18 11."0 11.60

    1.%1 3!.40 3!.30 0.1! "."2 11.30 11."0

    3.0% 48.60 4%."0 0.20 6.14 12.40 12.20

    3.66 "!.60 46.40 0.2" !.20 12.20 11.%0

    4.36 68.!0 44.60 0.3" 8.8" 12.60 12.%0

    ".36 !0.60 "%.00 0.28 !.%3 13."0 12.80

    6.22 81.%0 "6.00 0.3" %.13 13.30 12.60

    !.12 %3.!0 "3.%0 0.43 10.30 13.20 12.%0

    8.86 %%.60 6%.20 0.41 10.30 14.80 13.8010.00 113.00 6".80 0.48 11.40 14.40 13.20

    11.30 12!.00 63.80 0."! 12.80 14.30 13."0

    13."0 133.00 !8.%0 0."4 12.80 1".80 14."0

    14.%0 14!.00 !".!0 0.63 13.%0 1"."0 14.00

    18.20 180.00 !1."0 0.83 16.60 1".20 14.40

    1%.80 1!3.00 88."0 0.!2 1".60 16.80 1".10

    21.30 186.00 86.60 0.81 16.80 16.80 14.%0

    2"."0 222.00 81.%0 1.01 1%.30 16.30 14.80

    2!.80 21%.00 %8.20 0.%2 18.80 1!.%0 1".%0

    32.!0 2"!.00 %3.00 1.16 21."0 1!."0 1".303!.%0 2%%.00 8%.30 1.40 24.30 1!.20 1".!0

    42.80 33!.00 86.%0 1.60 26.80 16.80 16.30

    "3."0 3"1.00 11!.00 1."% 28.20 20.10 1!."0

    "%.%0 3%3.00 113.00 1.8" 30.%0 1%.80 1!.10

    6!.30 442.00 10%.00 2.12 33.60 1%.30 1!.00

    131.00 68!.00 143.00 3.3% "1.40 23.00 20.00

    14".00 !60.00 138.00 3.84 ""."0 22."0 1%.!0

    168.00 881.00 133.00 4.60 62.40 22.00 20.30

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    8.8! 13%.4" "4.10 3.13 4%.16 32.26

    10.%1 16!.1" "".12 3.80 "%.4% 32."1

    6.83 %1.11 62.!4 0.%1 18.1% 22.%%

    %.20 11%.!% 63.2" 1.24 24."8 23.32

    12.11 1"%.28 6".02 3.88 "0.%6 3!.08

    13.36 16!.1" 66.04 1.84 36.0" 24."4

    1!.23 21%."% 6!."6 "."4 !2.2! 38.10

    22.23 2!3.66 68."8 !.12 %1.%3 38.61

    12.82 12!.%8 81.!% 0.8! 1!.3! 21.36

    16.48 162.40 81."3 1.14 22.4" 21.41

    1%.%8 1%3.3! 83."! 1.42 2!.86 22.2"

    2".!6 24%.08 8!.12 3.32 4%.82 31.24

    31.34 2%8.24 88.6" 4.0! 60.80 32.00

    34.46 342.4% 86.8! !.62 %2.26 40.8%

    40.!% 3%8.21 8!.63 %.03 108.6" 41.1"

    4".!% 4"0.64 88.14 1".44 1"1.%1 "1.31

    "2.86 "11.28 8%.1" 1!.!3 1!3.!0 "1."6

    60.!! "81.!4 8%.66 20.44 1%%.%2 "1.82

    !6."% !0%."6 %1.6% 2".3" 24".81 "2.83

    %4.%0 8"2.13 %2.!1 31.26 2%%.88 "3.34

    113.21 %8%.!8 %4.4% 36.88 3"0.68 "3.8"

    22.3% 1!8.62 %%.06 0.%1 18.03 1%.%4

    28.68 226.14 100.33 1.20 23.!6 20."!

    34.0% 26".4! 102.8! 1.48 2%.1! 21.44

    40.08 308.08 10".16 1.!% 3".0! 22.20

    4%.12 380.18 108.46 4.!" 6".06 33.!8"%.%4 4"!.20 110.4% ".8! 80.13 34."4

    !0.!6 "30.%4 111.2" 6.%" %4.23 34.80

    !0.!6 "!3."" 106.43 1".23 1"0.!6 4%.28

    86.%% 68%.%0 108.46 18.!3 18".1! "0.2%

    103.23 804.60 10%.!3 22.23 21!.%" "1.0"

    113.21 8%4.!3 110.4% 38.88 306.44 64."2

    126.12 %83.22 111.00 42.8! 33!."! 6".02

    141.%3 1

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    84.%1 "4!.33 131.32 !.20 8!."1 38.3"

    %%.06 632."4 132.33 8.4" 102.26 38.61

    118.63 !4!.2" 133.3" 10.20 122.41 3%.12

    12%.03 8"0.4% 130.30 18.36 180.26 4%.02

    14".68 %"2.0% 130.81 20.81 203.20 4%.28

    164.00 1

    388.34 2

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    12186.4! %2".8! 16".3" 10.20 114.!1 38.61

    21".61 1

    636.83 2

    !28.40 3

    3"0.88 1

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  • 8/9/2019 Moment Distribution Method on Structural Member

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    8%.4! 100 - 1% W100 - 1 8%.4!

    %1.11 1"0 - 14 W130 - 2 13%.4"

    11%.!% 1"0 - 18 W130 - 2 16!.1"

    12!.%8 200 - 1" W1"0 - 1 %1.11

    13%.4" 130 - 24 W1"0 - 1 11%.!%

  • 8/9/2019 Moment Distribution Method on Structural Member

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    1"%.28 1"0 - 22 W1"0 - 2 1"%.28

    162.40 200 - 1% W1"0 - 2 16!.1"

    16!.1" 130 - 28 W1"0 - 3 21%."%

    16!.1" 1"0 - 24 W1"0 - 3 2!3.66

    1!8.62 2"0 - 18 W200 - 1 12!.%8

    1%3.3! 200 - 22 W200 - 1 162.40

    21%."% 1"0 - 30 W200 - 2 1%3.3!

    226.14 2"0 - 22 W200 - 2 24%.08

    244.1! 310 - 21 W200 - 3 2%8.24

    24%.08 200 - 2! W200 - 3 342.4%

    26".4! 2"0 - 2" W200 - 4 3%8.21

    2!3.66 1"0 - 3! W200 - 4 4"0.64

    280.22 310 - 24 W200 - " "11.28

    2%8.24 200 - 31 W200 - 6 "81.!4

    308.08 2"0 - 28 W200 - ! !0%."6

    342.4% 200 - 36 W200 - 8 8"2.13

    34%.04 310 - 28 W200 - 10 %8%.!8

    380.18 2"0 - 33 W2"0 - 1 1!8.62

    3%8.21 200 - 42 W2"0 - 2 226.14

    416.23 310 - 33 W2"0 - 2 26".4!

    4"0.64 200 - 46 W2"0 - 2 308.08

    4"!.20 2"0 - 3% W2"0 - 3 380.18

    4!".22 360 - 33 W2"0 - 3 4"!.20

    "11.28 200 - "2 W2"0 - 4 "30.%4

    "30.%4 2"0 - 4" W2"0 - 4 "!3.""

    "4!.33 310 - 3% W2"0 - " 68%.%0"!3."" 2"0 - 4% W2"0 - 6 804.60

    "!8.46 360 - 3% W2"0 - ! 8%4.!3

    "81.!4 200 - 60 W2"0 - 8 %83.22

    62%.26 410 - 3% W2"0 - 8 1

  • 8/9/2019 Moment Distribution Method on Structural Member

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    %43.8% 460 - "2 W310 - 6 %"2.0%

    %"2.0% 310 - 6! W310 - ! 1

    1

    11

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  • 8/9/2019 Moment Distribution Method on Structural Member

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