pakai
TRANSCRIPT
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METODE CROSS
3000 kg
C 2EI
1000kg/m'
EI
5 m
2500kg
A
3.0 3.
6m
KEKAKUAN
: = 4 (EI)5
= 0.8
= 0.8 =
2.13
= 1.3 =
2.13
: = 4 ( 2 EI )6
= 1.3
= 1.3 =
2
= 0.8 =
2
1.MOMEN PRIMER TANPA GOYANGAN
= + 2500 1.25 3.25 2 +
5
K CA KCD
dCA
dCD
KDC K DB
d DC
d DB
MAC
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= ! 11 1000 5 2 !
1"2
= ! 1 1200 6 2 !
12
= + 1 1200 6 2 +
12
= = 0 kgm
MCA
MCD
MDC
MDB
MBD
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2. DISTRIBUSI MOMEN TANPA GOYANGAN
#$#$k A C
%&g AC CA CD DC
AD 0.00 0.35 0.625 0.625
253 !3"1 !438 5850
213".3 428.5 130.8 3565.4
!2"42.3 !5884.6
551. 1103.4 1838." "1".5
!28.3 !54.
53." 10.8 1".6 8".8
!28.1 !56.1
5.3 10.5 1.5 8.8
!2. !5.5
0.51 1.03 1.1 0.86
!0.2 !0.54
0.05 0.10 0.1 0.08
!0.03 !0.05
0.005 0.010 0.016 0.008
!0.003 !0.005
0.0005 0.0010 0.002 0.0008
!0.0002 !0.0005
*m&, 10003 152"."4 !1530 3"12."0
3.MOMEN PRIMER DENGAN GOYANGAN
= + 6 EI -
5 2
= ! 6 2 EI -
6 2
= + 6 EI -
5 2
4. DISTRIBUSI MOMEN DENGAN GOYANGAN
#$#$k A C
%&g AC CA CD DC
AD 0.00 0.38 0.625 0.625
0.240 0.240 !0.333 !0.333
0.018 0.035 0.058 0.02"
0.020 0.040
!0.004 !0.008 !0.013 !0.006
0.002 0.004
0.000 !0.001 !0.001 !0.001
0.000 0.0004
MDC
MAC
MCA
MCD
MDC
MBD
MDB
M
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*m&, 0.253 0.26 !0.26 !0.26
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BAGAN MOMEN TANPA GOYANGAN BAGAN MOM
!1530 3"13 !0.26
C D C
1530 !3"13 0.26
10003 !1"56 0.253
A B A
= 0.00
10003.25 + 152"."4 + !1"56 + !3"12."0
5 5
0.253 + 0.26 + 0.253 + 0.26
5 5
0.104 + 0.104 m = 230
0.208 m = 1133
m = 1133
0.208
m = 5446
5. MOMEN AKHIR
= 10003.2 + 0.253 5445.56 = 11383
= 152"." + 0.26 5445.56 = 2"83
= !152"." + !0.26 5445.56 = !2"81
= 3"12." + !0.26 5445.56 = 2461
= !3"12." + 0.26 5445.56 = !2461
= !1"56.5 + 0.253 5445.56 = !5
MAC
MCA
MCD
MDC
MDB
MBD
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1200 kg/m'
D
2 m
EI
1.25 m
1.25 m
B
0
: 4 ( 2 EI )6
: 1.3
0.35
= 1
0.625
: 4 (EI)5
: 0.8
0.625
= 1
0.35
5 1000 52 = 253 kgm
1"2
d
d
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2500 3.25 1.252 = !3"1 kgm
5
3000 3.0 3.02 = !438 kgm
6 2
3000 3.0 3.02 = 5850 kgm
6 2
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B
DB BD
0.35 0.00
0 0
!3530.8 !165.4
!344.8 !12.4
!33. !16.8
!3.3 !1.6
!0.32 !0.16
!0.03 !0.02
!0.003 !0.002
!0.0003 !0.00015
!3"12."0 !1"56.45
= 0.240
= !0.333
= 0.240
B
DB BD
0.38 0.00
0.240 0.240
0.024 0.012
0.002 0.001
0.000 0.000
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0.26 0.253
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N DENGAN GOYANGAN
!0.26
D
0.26
0.253
B
= 0.00
m = 0.00
!114
kgm
kgm
kgm
kgm
kgm
kgm
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EE BD DIA
2981
40
518
2983
1400 50 5" 22 40
1000 kg/m'
5
2500kg
600 150 5" 22 4030
11383
518
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M
3000
= 1200kg/m'
2461
608
63600 3600
1500 1500
4" 4"
410 410
5013
518 5013
2461608 115 4"2
5
608 115 4"2 577
5013
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. MMEN MAK7IMUM
B&g AC
M = 11383 + 4030 ! 1 1000
2
= 11383 + 4030 ! 500 2
d m = 0
d
= 4030 ! 2 500
= 4030
1000
= 4.03 m
Mm& = 11383 + 4030 ! 1 1000
2
= 11383 + 4030 4.03 ! 1 1000
2
= 1"504 kgm
Ak$% B9%& 9;
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2
2
4.032
! 3000 ! 3
2 ! 3000 ! "000
2
2
1.822 2
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3000 kg
1250
35006 35/50
40/60
2500kg
1400 kg/m'
4500
1 40/50 2
4.5 m 50/60
& = 0."
A
4 1.5 m
3 3
M>m9 I9;$&
I BA?K 40/50 = 1 40 50 3 = 41666
12
I BA?K 35/50 = 1 35 50 3 = 364583
12
I K?M 40/60 = 1 40 60 3 = 2000012
I K?M 50/60 = 1 50 60 3 = "00000
12
1 15.18 2"."8 3.48
K9k*& d& Agk& D$#;$%*$
Titi 1K1A = K12 = K16 = 3 5 EI : 4 4
4.5 5
@m
@m
@m
@m
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= 3.333 : 3.2
= ".33
D1A = 3.333 = 0.3425
".33
D12 = 3.2 = 0.3288 =
".33
D16 = 3.2 = 0.3288
".33
D
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Titi 2
K21 = K2B = K23 = K25 = 4 4 EI :
6
= 2.666 :
= 11."
D21 = 2.66 = 0.224
11."
D2B = 4 = 0.331
11."
D23 = 2 = 0.1685
11."
D25 = 3.2 = 0.20
11."
Titi 3
K32 = K3C = K34 = 4 4 EI : 4 5
8 5
= 2 : 4
= ".2
D32 = 2 = 0.214
".200
D3C = 4 = 0.4348 =
".200
D34 = 3.2 = 0.348
".200
Titi 4
K43 = K45 = 4 30 EI : 4 15.183 EI
5 8
= 24 : .5"15
= 31.6
D43 = 23."" = 0.6
31.6 = 1
D45 = .5"2 = 0.24
31.6
D
D
D
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Titi 5
K54 = K52 = K56 = 4 3.5 EI : 4 4
8 5
= 1.5 : 3.2
= .3
D54 = 1.5 = 0.2403
.283
D52 = 3.2 = 0.43"4 =
.283
D56 = 2.333 = 0.3204
.283
Titi 6
K65 = K61 = 4 3.5 EI : 4 4 EI
6 5
= 2.33 3.2
= 5.5
D65 = 2.333 = 0.422 0.211
5.5 = 1
D61 = 3.2 = 0.58
5.5
D
D
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3000 kg
kg/m'
5 35/50 4
40/60
2500 kg 2500 kg 2500 kg 40/60 5 m
40/50 3
50/60 50/60 5 m
B C
4 2 m
2 2 2 2
EI : 4 4 EI
5
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: 3.2
0.112
1
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4 5 EI : 4 4 EI : 4 4 EI
5 8 5
4 : 2 : 3.2
= 1
EI : 4 4 EI
5
: 3.2
1
0.38 0.38KKKK
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EI : 4 3.5 EI
6
: 2.333
1
0.1484
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M!"#$it%"# M&'!" P(i'!( )M*+
M65 = ! 3000 1.50 4.50 2 ! 5 1250 6
6 1"2
M56 = + 11 1250 6 2 + 3000 4.50 1.50
1"2 6
M54 = ! 11 1250 8 2 ! 3000 6.00 2.00
1"2 8
M45 = + 3000 2.0 6.0 2 + 5 1250 8
8 1"2
M12 = ! 1 1400 6 2 ! 2500 3 3
12 6
M21 = + 1 1400 6 2 + 2500 3 3
12 6
M23 = ! 2500 2 6 2 ! 2500 4 4
8 8
! 2500 6 2 2
8
M32 = + 2500 2 6 2 + 2500 4 4
8 8
2500 6 2 2
8
M61 = M16 = M43 = M34 = M52 = M25
= 6 4 EI - = 0."6
5 2
M1A = ! 3 5 EI - = !0.41
4.52
M2B = MB2 =
= ! 6 5 EI - = !1.2
5 2
M3C = MC3 =
= ! 6 5 EI - = !1.2
5 2
M61 = M16 = = M43 = M34
AKIBA ANAN -1 ( BAA)
AKIBA ANAN -2 ( AA7)
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= ! 6 4 EI - = 0."6
5 2
M52 = M25
= ! 6 4 EI - = 0."6
5 2
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2 = !1635" kgm
2 = 641 kgm
2 = !13583 kgm
2 = 2"083 kgm
2 = !15450 kgm
2 = 15450 kgm
2
= !50000 kgm
2
= 50000 kgm
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DISTRIBUSI MOMEN PRIMER TANPA GOYANGAN
TITIK B 1 2 3
BATANG B2 1A 16 12 21 25 23 2B 32 3C 34
A.D 0.000 0.342 0.32" 0.32" 0.225 0.20 0.16" 0.33 0.21 0.435 0.348
MOMEN 0 0 0 !15450 15450 0 !50000 0 50000 0 0
52"1.10 50".45 50".45 253".3
108"."8 35"6.66 1"3.32 8631."8 53"4."" 108"."8 26".4"
!52."" !11455."8 !22"11."5 !1832".56
!565.0"
883.31
380".80
!2536.46 !2435.00 !2435.00 !121.50
2043.43 681.14 1362.2" 1634.4 1021.2 2043.43 510.86
66.6 1533.53 306.06 2453.65
!64".42
!44.68
50".06
!40.60 !3"1.30 !3"1.30 !1"5.65
58.50 1".50 3".00 46.80 2".25 58.50 14.63
6".00 138.00 26.00 220.80
112.43
!"4.522
6.503
!32.88 !31.563 !31.563 !15.8113."2 4.641 ".282 11.138 6."61 13."23 3.481
!12.633 !25.266 !50.532 !40.426
2.30"
!15.3
.805
!4.262 !4.0"2 !4.0"2 !2.046
10.13 3.3 6.54 8.105 5.066 10.131 2.533
!3.244 !6.48 !12."5 !10.380
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5.165
!2.500
1.11"
!1.540 !1.48 !1.48 !0.3"
2.1" 0.28 1.45 1.48 1.0"3 2.185 0.546
!0.621 !1.242 !2.483 !1."86
0.8"6
!0.434
0.305
!0.354 !0.340 !0.340 !0.10
0.41 0.138 0.25 0.330 0.206 0.413 0.103
!0.10" !0.21 !0.435 !0.348
0.156
!0.0"6
0.06"
!0.01 !0.068 !0.068 !0.034
0.08 0.02 0.054 0.064 0.040 0.080 0.020
!0.01" !0.038 !0.0 !0.061
0.032
!0.020
0.014
!0.014 !0.013 !0.013 !0.00
0.008 0.005 0.010 0.012 0.008 0.016 0.004
!0.004 !0.008 !0.015 !0.0120.00
!0.004
0.003
!0.003 !0.003 !0.003 !0.001
0.002 0.001 0.002 0.002 0.002 0.003 0.001
!0.001 !0.002 !0.003 !0.003
0.001
!0.001
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0.001
12"18.66 230."1 6620.2 !8"28.18 2510.24 10360.61 !4844".52 12"18.6 43411."6 !1"635.42 !236.53
, ! 0.002 !0.002 0.001
12918.66 23-7.91 662-.27 8928.18 2517-.24 1-36-.62 48449.52 12918.67 43411.96 19635.42 23776.53
BATANG B2 1A 16 12 21 25 23 2B 32 3C 34
MOMENAKHIR
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4 5 6 C
43 45 54 52 56 65 61 C3
0.60 0.240 0.240 0.43" 0.320 0.422 0.58 0.000
0 2"083 !13583 0 641 !1635" 0 0
253".3 0.00
4315.""
!"164.8 !11456.0
!15130.18 !488.38 !23"4.1"
483.06 "66.12 166.62 1288.16 644.08
2."8 5555."6 61".61
!121.50
81.3
1226.82 1533.53
!12"8.83 !411.05 !205.53
!40.24 !814.4" !148".35 !1085."" !542.""
31.1" 42.38 1018.12
!1"5.65
23.40
110.40 138.00
225.485 1.361 35.681
!51.6"2 !103.383 !18".043 !13.844 !68."22
55.83 111.566 153.005
!15.815.56"
!20.213 !25.266
54.61" 1.286 8.643
!8.40" !16.818 !30.53 !22.424 !11.212
5.6"1 11.383 15.611
!2.046
4.052
!5.1"0 !6.48
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10.330 3.26" 1.635
!1.36 !2.34 !4.""" !3.645 !1.823
0.816 1.631 2.23
!0.3"
0.84
!0.""3 !1.242
1."3 0.56 0.284
!0.23 !0.44 !0.86 !0.632 !0.316
0.222 0.445 0.610
!0.10
0.165
!0.14 !0.21
0.312 0.0"" 0.04"
!0.052 !0.105 !0.1"2 !0.140 !0.00
0.051 0.101 0.13"
!0.034
0.032
!0.031 !0.038
0.063 0.020 0.010
!0.011 !0.022 !0.041 !0.030 !0.015
0.010 0.021 0.028
!0.00
0.006
!0.006 !0.0080.013 0.004 0.002
!0.002 !0.004 !0.008 !0.006 !0.003
0.002 0.004 0.006
!0.001
0.001
!0.001 !0.002
0.003 0.001 0.000
0.000 !0.001 !0.002 !0.001 !0.001
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0.000 0.001 0.001
!23""0.56 23""0.56 !16108.65 5218.83 1088".82 !""1.16 ""1.16 !"818
0.000 0.000 0.000 !
2399-.56 2399-.56 161-8.65 5218.83 /// 9917.16 9917.16 9818
43 45 54 52 56 65 61 C3
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IIK B 1 2 3
BAAN B2 1A 16 12 21 25 23 2B 32 3C 34
A.D 0.000 0.342 0.32" 0.32" 0.225 0.20 0.16" 0.33 0.21 0.435 0.348
MMEN 0.000 !0.41 0."60 0.000 0.000 0."60 0.000 !1.200 0.000 !1.200 0."60
!0.05 !0.02 !0.02 !0.036
0.04 0.031 0.062 0.04 0.04 0.0"3 0.023
0.024 0.04 0.0"4 0.05
!0.3"
!0.1"3
!0.22
0.06 0.064 0.064 0.032
0.023 0.015 0.031 0.03 0.023 0.046 0.012
0.040 0.080 0.160 0.128
0.016
0.031
!0.016
0.000 0.000 0.000 0.000
!0.012 !0.008 !0.016 !0.01" !0.012 !0.024 !0.006
!0.001 !0.002 !0.004 !0.003
!0.006
0.005
!0.0010.003 0.003 0.003 0.001
!0.001 !0.001 !0.001 !0.001 !0.001 !0.002 0.000
0.001 0.001 0.003 0.002
!0.001
0.000
!0.001
0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000
DISTRIBUSI MOMEN AKIBAT GOYANGAN ,1
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0.000 0.000 0.001 0.001
0.000
0.000
0.000
0.000 0.000 0.000 0.000
0.056 !0.45 0.12 0.033 0.03 0.8"4 0.120 !1.08 0.155 !0."4 0."2
- ! 0.000 0.000 0.000
-.-56 -.745 -.712 -.-33 -.-73 -.894 -.12- 1.-87 -.155 -.947 -.792
BATANG B2 1A 16 12 21 25 23 2B 32 3C 34
MMENAKI
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4 5 6 C
43 45 54 52 56 65 61 C3
0.60 0.240 0.240 0.43" 0.320 0.422 0.58 0.000
0."60 0.000 0.000 0."60 0.000 0.000 0."60 !1.200
!0.036 0.000
0.03
0.038 0.04
!0.58 !0.240 !0.120
!0.105 !0.211 !0.385 !0.281 !0.141
!0.165 !0.330 !0.453
0.032
0.018
0.064 0.080
0.032 0.010 0.005
0.01 0.034 0.062 0.045 0.023
!0.012 !0.023 !0.032
0.000
!0.010
!0.002 !0.002
!0.012 !0.004 !0.002
0.003 0.006 0.010 0.00 0.004
!0.001 !0.002 !0.0020.001
!0.001
0.001 0.001
!0.003 !0.001 0.000
0.000 0.000 0.001 0.001 0.000
0.000 !0.001 !0.001
0.000
0.000
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0.000 0.000
0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000
0.000
0.320 !0.320 !0.288 0.6"3 !0.405 !0.40 0.40 !1.03
0.000 0.000 0.000 !
-.32- -.32- -.288 -.693 -.4-5 -.47- -.47- 1.-73
43 45 54 52 56 65 61 C3
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IIK B2 1 2 3
BAAN B2 1A 16 12 21 25 23 2B 32 3C 34
A.D 0.000 0.342 0.32" 0.32" 0.225 0.20 0.16" 0.33 0.21 0.435 0.348
MMEN 0.000 0.000 0."60 0.000 0.000 0."60 0.000 0.000 0.000 0.000 0."60
!0.32" !0.316 !0.316 !0.158
!0.135 !0.0"0 !0.180 !0.216 !0.135 !0.20 !0.068
!0.0" !0.1"4 !0.388 !0.310
!0.306
!0.166
!0.1"
0.0"8 0.0"4 0.0"4 0.04
0.036 0.024 0.048 0.058 0.036 0.03 0.018
0.031 0.062 0.125 0.100
0.015
0.024
!0.01"
!0.002 !0.002 !0.002 !0.001
!0.00" !0.006 !0.012 !0.015 !0.00" !0.018 !0.005
!0.001 !0.002 !0.005 !0.004
!0.004
0.005
!0.0010.002 0.002 0.002 0.001
!0.001 !0.001 !0.001 !0.001 !0.001 !0.002 0.000
0.001 0.001 0.002 0.002
!0.001
0.000
0.000
0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000
DISTRIBUSI MOMEN AKIBAT GOYANGAN ,2
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0.000 0.000 0.001 0.000
0.000
0.000
0.000
0.000 0.000 0.000 0.000
!0.10" !0.230 0.523 !0.2"3 !0.256 0.64" !0.15 !0.218 !0.18 !0.265 0.452
- ! 0.000 0.000 0.000
-.1-9 -.23- -.523 -.293 -.256 -.649 -.175 -.218 -.187 -.265 -.452
BATANG B2 1A 16 12 21 25 23 2B 32 3C 34
MMENAKI
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4 5 6 C
43 45 54 52 56 65 61 C3
0.60 0.240 0.240 0.43" 0.320 0.422 0.58 0.000
0."60 0.000 0.000 0."60 0.000 0.000 0."60 0.000
!0.158 0.000
!0.108
!0.155 !0.1"4
!0.611 !0.1"3 !0.0"
!0.0"1 !0.181 !0.332 !0.242 !0.121
!0.144 !0.28 !0.3"4
0.04
0.02"
0.050 0.062
0.031 0.010 0.005
0.013 0.026 0.048 0.035 0.018
!0.014 !0.02 !0.03
!0.001
!0.00
!0.002 !0.002
!0.00" !0.003 !0.001
0.003 0.005 0.010 0.00 0.004
!0.001 !0.001 !0.0020.001
!0.001
0.001 0.001
!0.003 !0.001 0.000
0.000 0.000 0.001 0.001 0.000
0.000 !0.001 !0.001
0.000
0.000
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0.000 0.000
0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000
0.000
0.262 !0.262 !0.243 0.600 !0.35 !0.416 0.416 !0.133
0.000 0.000 0.000 !
-.262 -.262 -.243 -.6-- -.357 -.416 -.416 -.133
43 45 54 52 56 65 61 C3
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= 1250kg/m'
858" 3000 kg
6
2250 2813
50 "38
1432 1432
2000 2000
6431 31"858"
6"4
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kg/m' 3000 kg 24462
8
2250
1250
3058
1"42
24462
20"48
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3000 kg
1250
35006 35/50
40/60
2500kg
1400 kg/m'
4500
1 40/50 2
4.5 m 50/60
& = 0."0
A
4 1.5 m
3 3
M>m9 I9;$&
I BA?K 40/50 = 1 40 50 3 = 41666
12
I BA?K 35/50 = 1 35 50 3 = 364583
12
I K?M 40/60 = 1 40 60 3 = 2000012
I K?M 50/60 = 1 50 60 3 = "00000
12
K9k&k*& A%>*d
K16 = K25 = K34 = 20000 = 1440
500
K2B = K3C = "00000 = 1800
500
K1A = "00000 = 2000450
K21 = 41666 = 6"4.44
@m
@m
@m
@m
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600
K23 = 41666 = 520.83
800
K54 = 364583 = 455.3
800
K56 = 364583 = 60.64
600
K!0%0" R!0ti
D$&m%$ K9k&k*& 7#&d&; K = 1000
K16 = K25 = K34 = 1.440
K2B = K3C = 1.800
K1A = 2.000
K21 = 0.6"4
K23 = 0.521
K54 = 0.456
K56 = 0.608
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3000 kg
kg/m'
5 35/50 4
40/60
2500 kg 2500 kg 2500 kg 40/60 5 m
40/50 3
50/60 50/60 5 m
B C
4 2 m
2 2 2 2
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M!"#$it%"# M&'!" P(i'!( )M*+
M65 = ! 3000 1.50 4.50 2 ! 5 1250 6
6 1"2
M56 = + 11 1250 6 2 + 3000 4.50 1.50
1"2 6
M54 = ! 11 1250 8 2 ! 3000 6.00 2.00
1"2 8
M45 = + 3000 2.0 6.0 2 + 5 1250 8
8 1"2
M12 = ! 1 1400 6 2 ! 2500 3 3
12 6
M21 = + 1 1400 6 2 + 2500 3 3
12 6
M23 = ! 2500 2 6 2 ! 2500 4 4
8 8
! 2500 6 2 2
8
M32 = + 2500 2 6 2 + 2500 4 4
8 8
2500 6 2 2
8
M!"#$it%"# Ni0i )t$&+
= !15450 kgm
= 15450 + !50000 = !34550 kgm
= 50000 kgm
= 2"083 kgm
= !13583 + 641 = !5"43 kgm
= !1635" kgm
1 = 2 2 + 0.6"4 + 1.44 ! 0.5 2 =
1A = 0.5 2 = 0.138
.26"
12 = 0.6"4 = 0.0"6
.26" = 0.431
16 = 1.440 = 0.1"8
1
2
3
4
5
6
M!"#$it%"# 0" M*
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.26"
2 = 2 1.8 + 0.521 + 0.6"4 + 1.44 =
2B = 1.8 = 0.202 0.60602
8."106
23 = 0.5208 = 0.0588."106 = 0.50
21 = 0.6"44 = 0.08
8."106
25 = 1.44 = 0.16
8."106
3 = 2 1.8 + 0.521 + 1.44 = .5
3C = 1.8 = 0.23"
.521 32 = 0.5208 = 0.06" = 0.5
.521
34 = 1.44 = 0.1"1
.521
4 = 2 1.44 + 0.456 = 3."1
43 = 1.44 = 0.38
3."15 = 0.5
45 = 0.455 = 0.12
3."15
5 = 2 1.44 + 0.456 + 0.608 = 5.00
52 = 1.44 = 0.288
5.006
54 = 0.455 = 0.0"1 = 0.5
5.006
56 = 0.606 = 0.121
5.006
6 = 2 0.608 + 1.44 = 4.0"5
65 = 0.606 = 0.148
4.0"53 = 0.5
61 = 1.44 = 0.352
4.0"53
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= ! !15450 = 2125.5 kgm
.2
= ! !34550 = 38.4 kgm
8."
= ! 50000 = !664.5 kgm
.52
= ! 2"083 = !60.8 kgm
3."
= ! !5"43 = 1186." kgm
5.00
= ! !1635" = 3""4. kgm
4.0"5
: ; -.9
T II = 2 1.440 + 1.440 + 1.440 = 8.64
#61 = 3 1.440
= 0.508.640
#52 = 3 1.440
= 0.5t ; 1.5
8.640
#43 = 3 1.440
= 0.58.640
=!5 3500
= !2025 kgm8.640
T I = 22.000 + 1.800 + 1.800
= 8.4352.0 0." 2
#1A=
3 2.000= 0.3"5
2 0."0
8.435
#2B=
3.0 1.800= 0.640
8.435 t ; 1.68
#3C=
3.00 1.800=
0.640
8.435
=!5 3500 + 4500
= !16"66 kgm8.43
' -1
' -2
' -3
' -4
' -5
' -6
' -II
' -I
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2 = !1635" kgm
2 = 641 kgm
2 = !13583 kgm
2 = 2"083 kgm
2 = !15450 kgm
2 = 15450 kgm
2
= !50000 kgm
2
= 50000 kgm
.2
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6 !0.148 !0.121
!0.352
= !2025 = 3""5
!0.500 335 + 3"58 = !3658 !0.148 !280 = 42
!0.500 !280 + 520 = !3620
!0.500 !656" + !1252 = 3"10 !0.352 !2025 + 3"58 = !680
= !53"3 = 335
!0.500
!0.1"8
1 !0.0"6 !0.08
!0.138
= !16"66 = 2125
!0.3"5 3"58 = !1564 !0.138 1.111 !16"66 = 25"3
!0.640 520 = !4815 !0.0"6 38 = !30
m 0II m 06
m 1II m 16
m 0I m 01
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!0.640 !1252 = 801 !0.1"8 !2025 + 3""5 = !3"0
= !22544 = 3"58
!0.3"5
& = 0."0
A
m 1I m 11
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5 !0.0"1 !0.120 4
!0.288 !0.380
= 118 =
!0.0"1 !656" = 5"8 !0.120 118 =
!0.288 !2025 + 520 = !1580
!0.121 3""5 = !485 !0.380 !2025 + !1252 =
= !280 =
!0.500 !0.500
!0.162 !0.1"1
2 !0.058 !0.06" 3
!0.202 !0.23"
= 38 =
!0.202 !16"66 = 342 !0.23" !16"66 =
!0.08 3"58 = !308 !0.06" 520 =
m 05 m 04
m 15 m 14
m 02 m 03
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!0.162 !2025 + 118 = 136
!0.058 !664 = 38" !0.1"1 !2025 + !61 =
= 520 =
!0.640 !0.640
B C
m 12 m 13
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61
!143
1245
656"
664
4060
!521
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1856
1252
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TABE< HASI< ITERASI
N>
0 2125 38 !664 !61 118 3""5 !2025 !16"66
1 3"58 520 !1252 !656" !280 335 !53"3 !22544
2 5256 "012 414 !546 262 4004 !8626 !2508
3 6014 "802 142 !4"68 815 4"2 !10"6 !26532
4 6468 102"0 2040 !438 11"8 53"" !12534 !241
5 64 10603 241 !3"2 144" 5815 !13554 !2"68
6 6"21 10803 2653 !305 1610 6088 !14211 !28316
031 10"31 2802 !3531 113 6265 !14631 !2853
8 101 11013 28"6 !3420 18 63" !148"" !286
" 145 11065 2"56 !334" 1820 6451 !1500 !286
10 13 110"8 2""4 !3303 184 64" !151" !28823
11 1"1 1111" 301" !324 1864 652 !15248 !28860
12 202 11132 3034 !3256 185 6546 !152"2 !28883
13 210 11141 3044 !3244 1882 655 !15320 !288"
14 214 11146 3050 !323 1886 6565 !15338 !28"0
15 21 11150 3054 !3232 188" 650 !15350 !28"12
16 21" 11152 305 !322" 18"1 653 !1535 !28"16
1 220 11154 3058 !322 18"2 655 !15361 !28"1"1" 221 11154 305" !3226 18"3 656 !15364 !28"20
20 222 11155 3060 !3225 18"3 65 !15366 !28"21
21 222 11155 3060 !3225 18"3 658 !1536 !28"22
22 222 11156 3061 !3224 18"4 658 !15368 !28"22
23 222 11156 3061 !3224 18"4 658 !1536" !28"22
24 222 11156 3061 !3224 18"4 658 !1536" !28"23
25 222 11156 3061 !3224 18"4 658 !1536" !28"23
26 222 11156 3061 !3224 18"4 658 !1536" !28"23
m 01 m 02 m 03 m 04 m 05 m 06 m 0II m 0I
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2 222 11156 3061 !3224 18"4 658 !1536" !28"23
28 222 11156 3061 !3224 18"4 658 !1536" !28"23
2" 222 11156 3061 !3224 18"4 658 !1530 !28"23
30 222 11156 3061 !3224 18"4 658 !1530 !28"23
31 222 11156 3061 !3224 18"4 658 !1530 !28"23
32 222 11156 3061 !3224 18"4 658 !1530 !28"23
33 222 11156 3061 !3224 18"4 658 !1530 !28"23
34 222 11156 3061 !3224 18"4 658 !1530 !28"23
35 222 11156 3061 !3224 18"4 658 !1530 !28"2336 222 11156 3061 !3224 18"4 658 !1530 !28"23
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TITIK 1
M 1A = 0 + 2.00 1.50 222 + 1 0.500
0."00
M 16 = 0 + 1.44 2 222 + 658 +
M 12 = !15450 + 0.6"4 2 222 + 11156
TITIK 2
M 21 = 15450 + 0.6"4 2 11156 + 222
M 2B = 0 + 1.800 2 11156 + !28"23
M 23 = !50000 + 0.521 2 11156 + 3061
M 25 = 0 + 1.440 2 11156 + 18"4 +
TITIK 3
M 32 = 50000 + 0.521 2 3061 + 11156
M 3C = 0 + 1.800 2 3061 + !28"23
M 34 = 0 + 1.440 2 3061 + !3224 +
TITIK 4M 45 = 2"083 + 0.456 2 !3224 + 18"4
M 43 = 0 + 1.440 2 !3224 + 3061 +
TITIK 5
M 56 = 641 + 0.608 2 18"4 + 658
M 52 = 0 + 1.440 2 18"4 + 11156 +
M 54 = !14025 + 0.456 2 18"4 + !3224
TITIK 6
M 61 = 0 + 1.440 2 658 + 222 +
M 65 = !1635" + 0.608 2 658 + 18"4 +
MOMEN PER
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TAKABEYA
!28"23 = !1040 = !1046" kgm
!1536" = 8141 = 8141 kgm
= 2328 = 2328 kgm
= 0 0 kgm
= 35"60 = 35"60 kgm
= !11"00 = !11"00 kgm
= !3685 = !3685 kgm
!1530 = 1224 = 1224 kgm
= !1 0 kgm
= 58""" = 58""" kgm
=
= !41041 = !41041 kgm
=
!1536" = !1"58 = !1"58 kgm
= 0 0 kgm
= 2008 = 2008 kgm
!1536" = !2008 = !2008 kgm
= 0 0 kgm
= 13"3" = 1408 kgm
!1530 = !613 = !466 kgm
= !1368 = !13621 kgm= !442 0 kgm
!1530 = 214 = 214 kgm
0 = !214 = !214 kgm
= 0 0 kgm
!28"23 = !16 kgm
!1536" = !12308 kgm
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KN? = 0.000
= 0.000
M1A + MB2 + M2B + M3C + MC3 !
!1 !2 !1
!1040 + !16 + !11"00 + !41041 + !12308 !!4.5 !5.0 !5
232 + 5"33 + 1060 ! 8000
18"30 ! 8000 = 10"30
BAGAN MOMEN )#'+
5719 21292 13621 12412
6 5 4
5719 1-586
8279 1288-
2328 23941 36785 14797
1 2 3
285 8147
1-291 -
A B
MMEN ?AFANAN
BAAN 1!2 ( DAI IIK 1)
M = 2"14 + 524 ! 1
2
= 2"14 + 524 ! 1 1500 2
= 2"14 + 524 ! 50
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dm 524 ! 2 50
d
= 524
1500= 5.02 m9#9;
M m& = 2"14 + 524 5.02 ! 1 1500 5.02
2
= 2185 kgm
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1 + 2 = 0
3500 + 4500 = 0
OK
12412
512-
9676
17682
C
G
G
G
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2
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BAAN 2!3 (DAI IIK 2)
M3 = !2328 + 4"4" 3 ! 0
M6 = !2328 + 4"4" 6 ! 2000 3
M" = !2328 + 4"4" " ! 2000 6 !
BAAN 5!4 ( DAI IIK 5 )
( & ) Ak$% B9%& M9;&
M = 13621 + 4"4 ! 1
2
= 13621 + 4"4 ! 1 1200
2
= 13621 + 4"4 ! 600 2
dm 4"4 ! 2 600
d
= 4"4
1200
= 4.145 m9#9;
M m& = 13621 + 4"4 4.1446 ! 1 1200 4.145
2
= 23"28 kgm
( % ) Ak$% B9%& 9;
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= 1251" kgm
=
= 21366 kgm
2000 3 = 24214
2
2
2
1140 kgm
2
2