moment distribution method on structural member
TRANSCRIPT
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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
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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
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21.08 "
20.32 6
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OUTPUT229.763
229.763
P!"etie# !f Une$%&' (n)'e *ecti!n#
-
f bt
f bc
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9mm: 9mm: #$%" 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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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
t+*)
;-+) =$= ;-+) >$>
I S I S
9mm: 9mm:
4.!0 8%.4! 43.6% 1.61 31.14 2".40
-106 mm4 -103 mm3 -106 mm4-103 mm3
-
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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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8/9/2019 Moment Distribution Method on Structural Member
89/98
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
1
-
8/9/2019 Moment Distribution Method on Structural Member
90/98
!%0.84 4
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
-
8/9/2019 Moment Distribution Method on Structural Member
91/98
40%."! 1
1
1
1
23
-
8/9/2019 Moment Distribution Method on Structural Member
92/98
"
4
"
!
-
8/9/2019 Moment Distribution Method on Structural Member
93/98
S
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%.!%
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8/9/2019 Moment Distribution Method on Structural Member
94/98
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
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8/9/2019 Moment Distribution Method on Structural Member
95/98
%43.8% 460 - "2 W310 - 6 %"2.0%
%"2.0% 310 - 6! W310 - ! 1
1
11
1
-
8/9/2019 Moment Distribution Method on Structural Member
96/98
222
2
3
4
44
-
8/9/2019 Moment Distribution Method on Structural Member
97/98
""
6
!!
8
10
11
13
-
8/9/2019 Moment Distribution Method on Structural Member
98/98
13
14
18