tugas besar analisa struktur i no 2 & 4.xlsx
TRANSCRIPT
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P1 = 11.00000 RVA = 56.00500
P2 = 21.00000 RVB = 54.99500
P3 = 37.00000 RHA = -4.36000P4 = 27.00000
P5 = 17.00000
P6 = 4.71000
SIMPUL A
RVA + S1 SIN 53,87 =
56.00500 + S1 0.81000 =
S1 0.81000 =
S1 =
S2 + S1 COS 53,87 +
S2 + -69.14198 0.59000 +
S2 + -40.79377 +
S2 + -45.15377
V = 0
H = 0
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0.59000
SIN 53,87 = 0.81000
SIMPUL H
V = 0
0.00000 S3 -
0.00000 S3 -
-56.00500
-69.14198H = 0
S6 -
S6 -
RHA = 0.00000
-4.36000 = 0.00000
-4.36000 = 0.00000
= 0.00000
S2 = 45.15377
COS 53,87 =
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SIMPUL C
V = 0
P1 = 0.00000 - S3 -
11.00000 = 0.00000 - 11.00000 -
S3 = 11.00000 - 11.00000 -
S2 = 0.00000
45.15377 = 0.00000
S6 = 45.15377 H = 0
P6 - S1
4.71000 - -69.14198
4.71000 - -40.79377
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S1 SIN 53,87 - S5 SIN 53,87 = 0.00000
-69.14198 0.81000 - S5 0.81000 = 0.00000
-56.00500 - S5 0.81000 = 0.00000
45.00500 - S5 0.81000 = 0.00000- S5 0.81000 = -45.00500
S5 = 55.56173
COS 53,87 + S5 COS 53,87 + S4 =
0.59000 + 55.56173 0.59000 + S4 =
+ 32.78142 + S4 =
78.28519 + S4 =
S4 =
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SIMPUL
V = 0
S7 = 0.00000
H = 0- S4 + S8 =
- -78.28519 + S8 =
78.28519 + S8 =
S8 =
0.00000
0.00000
0.00000
0.00000
-78.28519
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SIMPUL I
V = 0
- P2 + S5 SIN 53,87
- 21.00000 + 55.56173 0.81000
- 21.00000 + 45.005000.00000
0.00000
0.00000
-78.28519
H = 0
- S6 - S5 COS 53,87
- 45.15377 - 55.56173 0.59000
- 45.15377 - 32.78142
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+ S7 + S9 SIN 53,87 = 0.00000
+ 0.00000 + S9 0.81000 = 0.00000
+ 0.00000 + S9 0.81000 = 0.0000024.00500 + S9 0.81000 = 0.00000
S9 0.81000 = -24.00500
S9 = -29.63580
+ S9 COS 53,87 + S10 = 0.00000
+ -29.63580 0.59000 + S10 = 0.00000
+ -17.48512 + S10 = 0.00000
-95.42031 + S10 = 0.00000
S10 = 95.42031
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SIMPUL !
V = 0
S11 - P3 = 0.00000
S11 - 37.00000 = 0.00000
S11 = 37.00000H = 0
- S10 + S12 = 0.00000
- 95.42031 + S12 = 0.00000
S12 = 95.42031
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SIMPUL "
V = 0
- S9 SIN 53,87 - S11 -
- -29.63580 0.81000 - 37.00000 -
- -24.00500 - 37.00000 --12.99500-
H = 0
- S8 - S9 COS 53,87 +
- -78.28519 - -29.63580 0.59000 +
- -78.28519 - -17.48512 +
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S13 SIN 53,87 = 0.00000
S13 0.81000 = 0.00000
S13 0.81000 = 0.00000S13 0.81000 = 0.00000
S13 0.81000 = 12.99500
S13 = -16.04321
S14 + S13 COS 53,87 = 0.00000
S14 + -16.04321 0.59000 = 0.00000
S14 + -9.46549 = 0.00000
86.30481 + S14 = 0.00000
S14 = -86.30481
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SIMPUL # SIMPUL $
V = 0 V = 0
S15 = 0.00000 S15
0.00000
H = 0S18 - S14 = 0.00000
S18 - -86.30481 = 0.00000
S18 = -86.30481
H = 0
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+ S13 SIN 53,87 + S17 SIN 53,87 -
+ -16.04321 0.81000 + S17 0.81000 -
-12.99500 + S17 0.81000 --39.99500 + S17
S17
S13 COS 53,87 - S12 + S17 COS 53,87
-16.04321 0.59000 - 95.42031 + 49.37654 0.59000
-9.46549 - 95.42031 + 29.13216
-56.82265
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SIMPUL L
P4 = 0.00000 V = 0
27.00000 = 0.00000 S19 -
27.00000 = 0.00000 S19 -0.81000 = 0.00000
0.81000 = 39.99500
S17 = 49.37654 H = 0
S20 -
S20 -
+ S16 = 0.00000
+ S16 = 0.00000
+ S16 = 0.00000
+ S16 = 0.00000
S16 = 56.82265
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P5 = 0.00000
17.00000 = 0.00000S19 = 17.00000
S16 = 0.00000
56.82265 = 0.00000
S20 = 56.82265
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SIMPUL %
V = 0
- S19 -- 17.00000 -
- 17.00000 -
H = 0
- S18 -
- -86.30481 -
86.30481-
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S17 SIN 53,87 - S21 SIN 53,87 = 0.0000049.37654 0.81000 - S21 0.81000 = 0.00000
39.99500 - S21 0.81000 = 0.00000
-56.99500 - S21 0.81000 = 0.00000
- S21 0.81000 = 56.99500
S21 = -70.36420
S17 COS 53,87 + S21 COS 53,87 = 0.00000
49.37654 0.59000 + -70.36420 0.59000 = 0.00000
29.13216 + -41.51488 = 0.00000
15.65778 = 0.00000
0.00000 = 0.00000
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M&'() P*'(*
1.5000"I
B) A - B
/1 = 1.8000
1= 0.5000
3.0000
2.0000 1.0000 1.0000
2.0000
4.0000
MAB = -0.4583 + -0.3375
-0.7958
MBA = 0.2083 + 1.0125
1.2208
P(*') S&/( ((&) M&'()
M&'() B) A - B
MAB = -0.7958 + 0.7500
-0.7958 + 1.5000
MBA = 1.2208 + 0.7500 A+2B
1.2208 + 0.7500
!&) C&':&)
1.0000
MAB
-0.7958 + 1.5000
2.0000 MBA + MBC
1.2208 + 0.7500
-1.0500 + 2.0000 B
0.1708 + 0.7500
3.0000 MCB + MC
1.6500 + 1.0000 B
-4.7040 + 1.4286 C
-3.0540 + 1.0000 B
4.0000 MC + M"
4.7040 + 0.7143 C
-9.1460 + 1.7647
-4.4420 + 0.7143 C
5 0000 M" + M"#
2A+B
A
A
MA = 0
MA =
MA = A
MB =
MB = A
A
MC =
M =
M"
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9.1460 + 0.8824
-1.3067 + 1.0714 "
7.8393 + 0.8824
M&'() A;
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+ 0.7500 B
+ 1.5000 B
+ 0.7500 B
+ 1.5000 B
+ 1.0000 C +
+ 3.5000 B + 1.0000 C
+ 2.0000 C
+ 0.7143 +
+ 3.4286 C + 0.7143
+ 1.4286
+ 0.8824 " +
+ 3.1933 + 0.8824 "
+
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+ 1.7647 "
+
+ 2.8361 "
+ 0.7500 B
+ -0.2635
+ 1.5000 B
+ -0.5269
+ 1.0000 C
+ 0.5290
+ 2.0000 C
+ 1.0581
+ 0.7143
+ 1.5914
+ 1.4286
+ 3.1829
+ 0.8824 "
+ -3.0505
+ 1.7647 "
+ -6.1010
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2.0000"I
B) B - C
/2= 1.5000 /3= 1.6000
2.0000 1.0000 1.0000
2.0000
3.0000
4.0000
MBC = -0.7500 + -0.3
-1.0500
MCB = 0.7500 + 0.9
1.6500
M&'() B) B - C
MBC = -1.0500 +
-1.0500 +
MCB = 1.6500 +
1.6500 +
NO A B C "
1.0000 1.5000 0.7500
2.0000 0.7500 3.5000 1.0000
3.0000 1.0000 3.4286 0.7143
4.0000 0.7143 3.1933 0.8824
5.0000 0.8824 2.8361
/(*. 1 2
1.5000 A + 0.7500 B0.7500 A + 3.5000 B
/(*. 6 3
-4.6875 B + -1.5000 C
1.0000 B + 3.4286 C
/(*.7 4
14.5714 C + 3.3482 0.7143 C + 3.1933
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/(*. 8 5
-44.1390 + -12.8571 "
0.8824 + 2.8361 "
>;;) ;;)
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%1 = A2 - 1.2 2.0000
= 0.8941 - 1.0000
= -0.1059 M&'() %
H1 = %1 MA =
= -0.1059
H2 = H1 - P1 M% =
= -0.1059 - 1.8000 =
= -1.9059 =
B1 = H2 =
= -1.9059
B2 = B1 + RVB MH =
= -1.9059 + 2.7726 =
= 0.8667 =
I1 = B2 =
= 0.8667
I2 = I1 - P2 MB =
= 0.8667 - 1.5000 =
= -0.6333 =
!1 = I2 =
= -0.6333
!2 = !1 - P3 MI =
= -0.6333 - 1.6000 =
= -2.2333 =
C1 = !2 =
= -2.2333
C2 = C1 + RVC M! =
= -2.2333 + 6.2183 =
= 3.9850 =
1 = C2 - 2.5,6 =
= 3.9850 - 10.0800
= -6.0950 MC =
2 = 1 + RV =
= -6.0950 + 13.9935 =
= 7.8985 =
$1 = 2 - 2.3,6
= 7.8985 - 6.1200 M =
= 1.7785 =
$2 = $1 - P4 =
= 1.7785 - 2.6000 =
= -0.8215
"1 = $2 - 2.3,6 M$ =
= -0.8215 - 6.1200 =
= -6.9415 =
"2 = "1 + RV" =
= -6.9415 + 9.1389
= 2.1974 M" =L1 = "2 =
= 2 1974 =
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L2 = L1 =
= 2.1974
#1 = L2 - 3.2,3 ML =
= 2.1974 - 4.4800 =
= -2.2826 =
#2 = #1 + RV# =
= -2.2826 + 2.2826
= 0.0000 M# =
=
=
=
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000
00
1.0000 2B+C
2.0000 B + 1.0000 C
1.0000 A+2B
1.0000 B + 2.0000 C
H
0.7958
-0.1708
3.0540
4.4420
-7.8393
= 0.7958 + 1.0000 C = -0.1708
= 0.8531
+ 0.7143 = 3.0540
= 15.1688 + 0.8824 " = 4.4420
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= -53.8915 0.8824 -38.9462
= -7.8393 -44.1390 -38.9462
M>;;)
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1.0000 1.0000 2.0000 1.0000 1.0000 5.6000
0.0000
RVA 2.0000 - 1 2.0000 1.0000
0.8941 2.0000 - 0.5000 2.0000 1.0000
1.7882 - 1.0000
0.7882
RVA 3.0000 - 1 2.0000 2.0000
0.8941 3.0000 - 0.5000 2.0000 2.0000
2.6823 - 2.0000
0.6823
RVA 4.0000 - 1 2.0000 3.0000
0.8941 4.0000 - 0.5000 2.0000 3.0000
3.5765 - 3.0000
-1.2235
RVA 6.0000 1 2.0000 5.0000
0.8941 6.0000 - 0.5000 2.0000 5.0000
5.3647 - 5.0000
0.5098
RVA 7.0000 - 1 2.0000 6.0000
0.8941 7.0000 - 0.5000 2.0000 6.0000
6.2588 - 6.0000
-0.1235
RVA 8.0000 - 1 2.0000 7.0000
0.8941 8.0000 - 0.5000 2.0000 7.0000
7.1529 - 7.0000
-2.3568
RVA 13.6000 - 1 2.0000 12.6000
0.8941 13.6000 - 0.5000 2.0000 12.6000
12.1599 - 12.6000
-8.2647
RVA 17.0000 - 1 2.0000 16.0000
0.8941 17.0000 - 0.5000 2.0000 16.0000
15.1999 - 16.0000
8.1862
RVA 20.4000 - 1 2.0000 19.40000.8941 20.4000 - 0.5000 2.0000 19.4000
18 2399 - 19 4000
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-5.0109
RVA 23.2000 - 1 2.0000 22.2000
0.8941 23.2000 - 0.5000 2.0000 22.2000
20.7434 - 22.2000
1.1419
RVA 26.0000 - 1 2.0000 25.0000
0.8941 26.0000 - 0.5000 2.0000 25.0000
23.2470 - 25.0000
1.0226
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NIM = 7.0000 4.0000
2.0000"I
B) C -
2 = 1.8000
5.6000
MC = -4.7040
MC = 4.7040
M&'() B) C -
MC = -4.7040 + 0.7143 2C+
-4.7040 + 1.4286 C
MC = 4.7040 + 0.7143 C+2
4.7040 + 0.7143 C
0.7500 1.1250 A + 0.5625 B1.5000 1.1250 A + 5.2500 B
-4.6875 B
1.0000 -4.6875 B + -1.5000 C
-4.6875 -4.6875 B + -16.0714 C
14.5714 C
0.7143 10.4082 C + 2.3916 14.5714 10.4082 C + 46.5306
44 1390
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+ -11.3445 " = -47.5513
+ -125.1842 " = 346.0206 -
113.8397 " = -393.5719
" = -3.4572
3.3482 = 15.1688
7.4598 = 15.1688
14.5714 C = 7.7089
C = 0.5290
0.7500 B = 0.7958
-0.2635 = 0.7958
1.5000 A = 1.0593
A = 0.7062
B) - "
M = 0
RV". L = 8.8400 + 41.6160
RV" = 7.4200
M" = 0
RV. L = 8.8400 + 41.6160
RV = 7.4200
10.0800
V = 0
14.8400 = 14.8400
B) - CMC@L = 0.4209 MC@L = 0.4209
MC@L = 1.4758 MC@L = 1.4758
RVC = 3.9850 RV = 6.0950
RV = 13.9935
2.6000
1.6000
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3.4000 3.4000 2.8000 2.8000
- P1 1.0000
- 1.8000 1.0000
- 1.8000
- P1 3.0000 + RVB 2.0000
- 1.8000 3.0000 + 2.7726 2.0000
- 5.4000 + 5.5451
- P1 4.0000 + RVB 3.0000
- 1.8000 4.0000 + 2.7726 3.0000
- 7.2000 + 8.3177
- P1 5.0000 + RVB 4.0000
- 1.8000 5.0000 + 2.7726 4.0000
- 9.0000 + 11.0903
- P1 10.6000 + RVB 9.6000
- 1.8000 10.6000 + 2.7726 9.6000
- 19.0800 + 26.6167
- P1 14.0000 + RVB 13.0000
- 1.8000 14.0000 + 2.7726 13.0000
- 25.2000 + 36.0435
- P1 17.4000 + RVB 16.4000- 1.8000 17.4000 + 2.7726 16.4000
- 31 3200 + 45 4702
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- P1 20.2000 + RVB 19.2000
- 1.8000 20.2000 + 2.7726 19.2000
- 36.3600 + 53.2334
- P1 23.0000 + RVB 22.0000
- 1.8000 23.0000 + 2.7726 22.0000
- 41.4000 + 60.9966
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2 =
M&'() B)
M" =
+ 0.7143
M" =
+ 1.4286
= 0.5969+ 1.5000 C = -0.2563 -
+ -1.5000 C = 0.8531 ............
= 0.8531
+ -3.3482 = -14.3156 -
+ 3.3482 = 15.1688 ............
+ = 10.8348+ 12.8571 " = 64.7263 -
+ 12 8571 " 53 8915
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B) " - #
M# = 0
RV". L = 6.2720
RV" = 1.1200
M" = 0
RV#. L = 18.8160
RV# = 3.3600
V = 0
4.4800 = 4.4800
B) - "M"@L = 1.2154 M"@L = 1.2154
M"@L = 0.7369 M"@L = 0.7369
RV = 7.8985 RV" = 6.9415
RV" = 9.1389
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- P2 1.0000
- 1.5000 1.0000
- 1.5000
- P2 2.0000 - P3 1.0000
- 1.5000 2.0000 - 1.6000 1.0000
- 3.0000 - 1.6000
- P2 7.6000 - P3 6.6000
- 1.5000 7.6000 - 1.6000 6.6000
- 11.4000 - 10.5600
- P2 11.0000 - P3 10.0000
- 1.5000 11.0000 - 1.6000 10.0000
- 16.5000 - 16.0000
- P2 14.4000 - P3 13.4000- 1.5000 14.4000 - 1.6000 13.4000
- 21 6000 - 21 4400
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- P2 17.2000 - P3 16.2000
- 1.5000 17.2000 - 1.6000 16.2000
- 25.8000 - 25.9200
- P2 20.0000 - P3 19.0000
- 1.5000 20.0000 - 1.6000 19.0000
- 30.0000 - 30.4000
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3.0000"I
B) - "
/4 = 2.6000
1.8000
3.4000 3.4000
6.8000
M" = -6.9360 + -2.2100
-9.1460
M" = 6.9360 + 2.2100
9.1460
- "
-9.1460 + 0.8824
-9.1460 + 1.7647 + 0.8824
9.1460 + 0.8824
9.1460 + 0.8824 + 1.7647
/(* 6
/(* 7
8
2+"
+2"
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B) " - #M"#@L = 0.8948 M"#@L = 0.8948
M#"@L = -0.1826 M#"@L = -0.1826
RV" = 2.1974 RV# = 2.2826
RV# = 2.2826
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+ RVC 5.6000 - 2 5.6000
+ 6.2183 5.6000 - 1.8000 5.6000
+ 34.8226 - 28.2240
+ RVC 9.0000 - 2 9.0000
+ 6.2183 9.0000 - 1.8000 9.0000
+ 55.9649 - 72.9000
+ RVC 12.4000 - 2 12.4000+ 6.2183 12.4000 - 1.8000 12.4000
+ 77 1072 - 138 3840
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+ RVC 15.2000 - 2 12.4000
+ 6.2183 15.2000 - 1.8000 12.4000
+ 94.5185 - 200.8800
+ RVC 18.0000 - 2 12.4000
+ 6.2183 18.0000 - 1.8000 12.4000
+ 111.9298 - 263.3760
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1.5000"I
B) " - #
3 =
2.8000 2.8
5.6000
M"# = -1.3067
M"# = 2.8747
M&'() B) " - #
M"# = -1.3067 +
" -1.3067 +
M#" = 2.8747 +
" 2.8747 +
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2.8000
2.8000
4.5000 + RV 3.4000
4.5000 + 13.9935 3.4000
+ 47.5779
6.2000 + RV 6.8000 - P46.2000 + 13.9935 6.8000 - 2.6000
+ 95 1558 - 8 8400
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9.0000 + RV 9.6000 - P4
9.0000 + 13.9935 9.6000 - 2.6000
+ 134.3376 - 16.1200
11.8000 + RV 12.4000 - P4
11.8000 + 13.9935 12.4000 - 2.6000
+ 173.5195 - 23.4000
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1.6000
00
0.5357 2"
1.0714
0.5357 "
0.5357
"
"
-
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6.2000 + RV" 2.8000
6.2000 + 9.1389 2.8000
+ 25.5889
9.0000 + RV" 5.6000 - 3
9.0000 + 9.1389 5.6000 - 1.6000
+ 51.1778 - 6.2720
-
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2.8000 1.4000
2.8000 1.4000
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'&'() /*'(*
) A - B ) B - C
2.000
1.500 "I /1 =
4.5001 = 17.000
2.000
4.
MBC = -22.667
= -23.217
MCB = 22.667
= 23.217
&/( :((&) '&'()
) A - B B) B - C
MAB = 0.000 + 0.667 MBC = -23.217
= 0.000 + 0.667 = -15.250
= 0.444 BMCB = 23.217
MBA = 0.000 + 0.667 = 16.750
= 0.000 + 0.667
= 0.889 B
*(; /(*(;) /(* )
) B-C ) C-"
0.000 0.000
2A+B
0+B
A+2B
0+2B
MB = MC =
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RVC.L = 16.000 + 90.000 RV".L = 388.800
RVC.L = 106.000 RV".L = 482.400
RVC = 26.500 RV" = 67.000
0.000 0.000
RVB.L = 48.000 + 30.000 RVC.L = 388.800
RVB.L = 78.000 RVC.L = 482.400
RVB = 19.500 RVC = 67.000
0.000 0.000
46.000 = 46.000 134.000 =
*(( &: :*'
) B-C ) C-"
MBC@L = -0.169 MBC@L = -0.169 MC"@L = 10.148
MCB@L = 12.580 MCB@L = 12.580 M"C@L = 11.190
RVB = 6.750 RVC = 39.250 RVC = 65.958
RVB = 6.750 RVC = 105.208
) A-B ) C-
MAB@L = -0.075 MAB@L = -0.075 MC@L = -5.054
MBA@L = -0.151 MBA@L = -0.151 MC@L = 0.000RHA = -0.226 RHB = -0.226 RHC = -5.054
) A - B ) - (
2.000
1.500 "I /1 =
4.5001 = 15.000
MC = M" =
V = V =
-
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3.600
7.
% L))
A1 = 0.000 B1 = 0.000
A2 = - RHA B2 = RVB
= 0.226 = 65.958
B1 = A2 H1 = B2
= 0.226 = 65.958
B2 = B1 + RHB = 11.958
= 0.226 + -0.226 H2 = H1
= 0.000 = 11.958
= -14.042
C1 = H2
= -14.042
= -68.042
C2 = C1
= -68.042
= 0.000
% N&*'
NA1 = 0.000 NB1 = 0.000
NA2 = RHA NB2 = RHB
= 6.750 = -0.226
NB1 = NA2 NC1 = NB2
= 6.750 = -0.226
NB2 = NB1 - RHB NC2 = NC1
= 6.750 - 6.750 = -0.226
= 0.000 = 0.000
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) A - B ) B - C
2.000
1.500 "I /1 =
4.3001 = 10.000
3.600
7.
M&'() P(* B)
* $*
MAB = -0.338 MBC = 0.678
MBA = 0.678 MH = RVB 3.600 -
= 6.750 3.600 -
= 24.301 -
= -39.821
MCB = RVB 7.200 -
= 6.750 7.200 -
= 48.603 -
= -317.920
* $))
MBC = RVC 7.200 -
= 39.250 7.200 -
= 282.597 -
= -134.923
MH = RVC 3.600 -
= 39.250 3.600 -
= 141.299 -
-
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61/140
= 26.178
MCB = -50.321
-
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B)
"I
1.100 1.000
4.500
3.100
00
+ -0.550
+ 0.550
B)
+ 1.000 MC =
+ 1.500 B + 0.750 C =
+ 1.000
+ 0.750 B + 1.500 C MC =
=
) "-%
0.000
2B+C
B+2C
M" =
-
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+ 93.600 RV%.L = 112.500 + 67.500
RV%.L = 180.000
RV% = 30.000
0.000
+ 93.600 RV".L = 37.500 + 202.500
RV".L = 240.000
RV" = 40.000
0.000
134.000 70.000 = 70.000
MC"@L = 10.148 M"%@L = 10.386 M"%@L = 10.386
M"C@L = 11.190 M%"@L = 3.830 M"%@L = 3.830
RV" = 68.042 RV" = 46.556 RV% = 23.444
RV" = 114.598 RV% = 23.444
) "-#
MC@L = -5.054 M"#@L = -4.055 M"#@L = -4.055
MC@L = 0.000 M#"@L = 0.000 M#"@L = 0.000RH = -5.054 RH" = -4.055 RH# = -4.055
B)
"I
26.000 1.000
4.300
M% =
V =
-
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3.600
00
C1 =
C2 =
- 1.3,6 =
- 54.000 1 =
=
- /1 2 =
- 26.000 =
=
- 1.3,6
- 54.000
+ RV"
+ 68.042
NC1 =
NC2 =
=
N1 =
=
- RHC N2 =
- -0.226 =
=
-
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B)
"I
30.000 1.000
4.300
3.600
00
MC =
1 3.600 1.800 + MBC MC =
10.000 3.600 1.800 + 0.678
64.800 + 0.678
1 7.200 3.600 - /1 3.600 + MBC
10.000 7.200 3.600 - 30.000 3.600 + 0.678
259.200 - 108.000 + 0.678
1 7.200 3.600 - /1 3.600 - MCB
10.000 7.200 3.600 - 30.000 3.600 - 50.321
259.200 - 108.000 - 50.321
1 3.600 1.800 - MCB
10.000 3.600 1.800 - 50.321
64.800 - 50.321
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C - ) C - "
1.500 "I
"I /2 = 21.000
1 = 17.000
3.100 3.100
7.200
MC" = -50.490 +
= -62.558
M"C = 22.950 +
= 35.018
C - B) C - "
0.000 + 0.444 MC" = -62.558 +
1.333 C + 0.667 = -88.200 +
M"C = 35.018 +
0.000 + 0.444 = 88.200 +
0.667 C + 1.333
2C+
C+2
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C - ) C - "
1.500 "I
"I /2 = 20.000
1 = 10.000
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2.300 2.300
4.600
0.000 I1 = C2 -
- RHC = 0.000 -
5.054 = -30.000
C1 I2 = I1 -
5.054 = -30.000 -
1 + RH = -46.000
5.054 + -5.054 "1 = 12
0.000 = -46.000
"2 = "1 +
= -46.000 +
= -6.750
0.000 NC1 = 0.000
RHC NC2 = RHC
105.208 = -5.054
NC2 N"1 = NC2
105.208 = -5.054
N1 - RH N"2 = N"1 -
105.208 - 105.208 = -5.054 -
0.000 0.000
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C - ) C - "
1.500 "I
"I /2 = 20.000
1 = 10.000
2.300 2.300
4.600
* $*
22.745 MC" = -73.065
0.000 MI = RVC 2.300 - 1 2.300
= 65.958 2.300 - 10.000 2.300
= 151.704 - 26.450
= 52.188
M"C = RVC 4.600 - 1 2.300
= 65.958 4.600 - 10.000 2.300
= 303.408 - 79.350
= 104.992
* $))
MC" = RV" 4.600 - 1 2.300
= 68.042 4.600 - 10.000 2.300
= 312.992 - 26.450
= 159.976
MI = RV" 2.300 - M"C
= 68.042 2.300 - 80.566
= 156.496 - 80.566
-
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71/140
= 75.930
M"C = -80.566
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B) " - #
1.500
4.500
-12.068
12.068
B) " - #
0.417 M"# =
1.111 C + 0.556 " =
0.417
0.556 C + 1.111 " M#" =
=
2C+"
C+2"
-
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B) " - #
1.500
4.300
-
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1.2,3 "1 = 0.000
30.000 "2 = -
= 4.055
/2 #1 = "2
16.000 = 4.055
#2 = #1
= 4.055
0.000
RVC
39.250
N"1 = 0.000
N"2 = RH"
= 114.598
N#1 = N"2
= 114.598
RH" N#2 = N#1
-5.054 = 114.598
= 0.000
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B) " - #
1.500
4.300
M"# = -18.248
M#" = 0.000
1.150 + MC"
1.150 + -73.065
+ -73.065
3.450 - /2 2.300 + MC"
3.450 - 20.000 2.300 + -73.065
- 46.000 + -73.065
1.150 - /2 2.300 - M"C
1.150 - 20.000 2.300 - 80.566
- 46.000 - 80.566
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) " - %
2.000 "I
"I /3 = 27.000
2 = 17.000
1.500 1.500 3.000
4.500
6.000
M"% = -15.938 + -22.781
= -38.719
M%" = 35.063 + 7.594
= 42.656
B) " - %
0.000 + 0.667 M"% = -38.719 + 0.667
1.333 " + 0.667 # = -38.719 + 0.667
= -37.969 + 1.333
0.000 + 0.667 M%" = 42.656 + 0.667
0.667 " + 1.333 # = 42.656 + 0.667
= 35.156 + 0.667
2"+#
"+2#
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) " - %
2.000 "I
"I /3 = 15.000
2 = 5.000
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1.500 1.500 3.000
4.500
6.000
!1 = "2
RH" = -6.750
!2 = !1 - /3
= -6.750 - 25.000
= -31.750
+ RH# $1 = !2
+ -4.055 = -31.750
$2 = $1
= -31.750
%1 = $1 - 2.3
= -31.750 - 45.000
= -76.750
%2 = %1 + RV%
= -76.750 + 23.444
= 0.000
N"1 = 0.000
N"2 = RH"
= -4.055
N%1 = N"2
= -4.055
- RH# N%2 = N%1 - RH%
- 114.598 = -4.055 - -4.055
= 0.000
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) " - %
2.000 "I
"I /3 = 15.000
2 = 5.000
1.500 1.500 3.000
4.500
6.000
* $*
M"% = -62.318
M! = RV" 1.500 + M"%
= 46.556 1.500 + -62.318
= 69.834 + -62.318
= 7.516
M$ = RV" 3.000 - /1 1.500
= 46.556 3.000 - 15.000 1.500
= 139.668 - 22.500
= 54.850
M%" = RV" 6.000 - /1 4.500= 46.556 6.000 - 15.000 4.500
= 279.337 - 67.500
= 127.019
* $))
M"% = RV% 6.000 - /1 1.500
= 23.444 6.000 - 15.000 1.500
= 140.663 - 22.500
-
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81/140
= 27.682
M! = RV% 4.500 - 1 3.000
= 23.444 4.500 - 5.000 3.000
= 105.497 - 45.000
= 37.516
M$ = RV% 3.000 - 1 3.000
= 23.444 3.000 - 5.000 3.000
= 70.332 - 22.500
= 24.850
M%" = -22.981
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!&) C&):&)
0.000
MBA + MBC
= 0.000 + 0.889 B +
-15.250 + 1.500 B +
= -15.250 + 2.389 B +
15.250 = 2.389 B + 0.750 C
MCB + MC + MC"
= 16.750 + 0.750 B +
0.000 + 0.000 +
-88.200 + 0.000 +
= -71.450 + 0.750 B +
71.450 = 0.750 B + 3.944 C
M"C + M"# + M"%
= 88.200 + 0.556 C +
0.000 + 0.000 +
" -37.969 + 0.000 += 50.231 + 0.556 C +
-50.231 = 0.556 C + 3.777 "
" MC
0.000 = 0.667 C + 1.333
M#"
0.000 = 0.667 " + 1.333 #
MA =
MB =
MC =
M" =
2"+%
2"+0
"+2%
"+0
M =
M# =
-
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0.000M% =
-
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+ M"%
+ -62.318
+ -62.318
- 1 3.000 1.500 + M"%- 5.000 3.000 1.500 + -62.318
- 22.500 + -62.318
- 1 3.000 4.500 - M%"
- 5.000 3.000 4.500 - 22.981
- 67.500 - 22.981
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3.000 - M%"
3.000 - 22.981
- 22.981
1.500 - M%"
1.500 - 22.981
- 22.981
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0.000
0.750 C +
0.750 C
........ P(*. 1
1.500 C + 0.000 + 0.000
1.333 C + 0.667 + 0.000
1.111 C + 0.000 + 0.556 " +
3.944 C + 0.667 + 0.556 "
+ 0.667 + 0.556 " .......... P(*. 2
1.111 " + 0.000
1.333 " + 0.667 #
1.333 " + 0.000 +3.777 " + 0.667 #
+ 0.667 # ........ P(*. 3
...... P(*. 4
...... P(*. 5
-
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M()* V*(
/(*. 2 4 D
0.750 B + 3.944 C + 0.667 +
0.000 + 0.667 C + 1.333 +
/(*. 6 1
1.000 B + 4.812 C + 0.741 " =
2.389 B + 0.750 C + 0.000 =
P(*. 7 3
10.747 C + 1.771 " + 0.000 =
0.556 C + 3.777 " + 0.667 # =
P(*. 8 5
-39.611 " + -7.168 # = 657.873 0.667
0.667 " + 1.333 # = 0.000 -39.611
M>;;) ;;)
-
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0.556 C + -68.981 + 6.095 =
0.556 C + -62.887 =
0.556 C =
C =
M>;;) ;;)
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0.556 " = 71.450 1.333 1.000 B + 5.257
0.000 = 0.000 0.667 0.000 + 0.445
1.000 B + 4.812
95.243 2.389 2.388 B + 11.497 C + 1.771
15.250 1.000 2.388 B + 0.750 C + 0.000
10.747 C + 1.771
212.289 0.556 5.975 C + 0.984 " + 0.000
-50.231 10.747 5.975 C + 40.596 " + 7.168
+ -39.611 " + -7.168
-26.421 " + -4.781 # = 438.802
-26.421 " + -52.802 # = 0.000 -
48.020 # = 438.802
# = 9.138
-50.231
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-50.231
-50.231
12.656
22.762
-
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C + 0.889 + 0.741 " = 95.243
C + 0.889 + 0.000 = 0.000 -
C + 0.000 + 0.741 " = 95.243 ..... P
" = 227.535
= 15.246 -
" = 212.289 ..... P(*. 7
= 118.033
# = -539.841 -
# = 657.873 ..... P(*. 8
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M&'() A;
-
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= 88.200 + 12.656 + -20.289
= 80.566
M"# = 1.333 " + 0.667 #
= -24.343 + 6.095
= -18.248
M#" = 0.667 " + 1.333 #
= -12.181 + 12.181
= 0.000
M"% = -37.969 + 1.333 "
= -37.969 + -24.349
= -62.318
M%" = 35.156 + 0.667 "
= 35.156 + -12.175
= 22.981
-
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C
C
"
"
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-
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?( M&'() A; B() L
A C
B) AC CA C" C C B
A. *> -0.318 -0.301 -0.381 -0.414 -0.259
M&'() -7.958 12.208
1.264 2.529 2.395 3.034 1.517
-2.842 -5.685 -3.553
7.754
1.707 3.415 2.134
-1.052 -2.103 -1.992 -2.524 -1.262
0.261 0.523 0.327
1.092
0.130 0.259 0.162
-0.236 -0.471 -0.446 -0.565 -0.283
0.059 0.117 0.073
0.164
0.016 0.033 0.021
-0.038 -0.076 -0.072 -0.091 -0.046
0.009 0.019 0.012
0.025
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0.002 0.005 0.003
-0.006 -0.012 -0.011 -0.014 -0.007
0.001 0.003 0.002
0.004
0.000 0.001 0.000
-0.001 -0.002 -0.002 -0.002 -0.001
M = -0.068 -0.135 8.911 -8.776 10.817 -0.819
INS?I?U? ?"$NOLO%I NASIONAL MALAN%
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?U%AS B"SAR ANALISA S?RU$?UR
*
# "
# # #" "# "C
-0.327 -0.345 -0.655 -0.655 -0.345
35.333 -35.333
1.198
-4.488 -2.244
-5.705 -11.410 -21.679 -10.840
14.733 29.467 15.509
-2.540 -5.080 -9.653 -4.826
2.696 1.348
-0.996
0.413 0.206
-0.268 -0.536 -1.018 -0.509
2.074 4.148 2.183
-0.358 -0.715 -1.359 -0.679
0.205 0.102
-0.223
0.092 0.046
-0.026 -0.051 -0.097 -0.049
0.312 0.623 0.328-0.054 -0.107 -0.204 -0.102
0.026 0.013
-0.036
0.015 0.007
-0.004 -0.007 -0.013 -0.007
0.047 0.095 0.050
-0.008 -0.016 -0.031 -0.016
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0.004 0.002
-0.006
0.002 0.001
-0.001 -0.001 -0.002 -0.001
0.007 0.014 0.008
-0.001 -0.002 -0.005 -0.002
0.001 0.000
-0.001
-9.998 -18.445 18.445 -18.017 18.014
?HARSISUS #.LUAN 1321056
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?( M&'() A; %&)) L
A C
B) AC CA C" C C B
A. *> -0.318 -0.301 -0.381 -0.414 -0.259
M&'() 0.623
-0.099 -0.198 -0.188 -0.238 -0.119
-0.104 -0.209 -0.131
-0.061
0.015 0.030 0.019
0.024 0.048 0.045 0.057 0.029
-0.006 -0.012 -0.007
-0.010
0.000 -0.001 -0.001
0.003 0.005 0.005 0.006 0.003
-0.001 -0.001 -0.001
-0.002
0.000 0.000 0.000
0.000 0.001 0.001 0.001 0.000
0.000 0.000 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 0.000
0.000 0.000 0.000 0.000 0.000
M = -0.072 -0.144 0.414 -0.270 -0.280 -0.121INS?I?U? ?"$NOLO%I NASIONAL MALAN%
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?U%AS B"SAR ANALISA S?RU$?UR
A
# "
# # #" "# "C
-0.327 -0.345 -0.655 -0.655 -0.345
0.623 0.623 0.623
-0.094
-0.165 -0.082
-0.093 -0.186 -0.354 -0.177
-0.115 -0.231 -0.121
0.020 0.040 0.076 0.038
0.024 0.012
0.023
-0.009 -0.005
-0.001 -0.003 -0.005 -0.002
-0.019 -0.038 -0.020
0.003 0.007 0.012 0.006
-0.001 0.000
0.002
-0.001 -0.001
0.000 0.000 0.001 0.000
-0.003 -0.006 -0.003
0.001 0.001 0.002 0.001
0.000 0.000
0.000
0.000 0.000
0.000 0.000 0.000 0.000
0.000 -0.001 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 0.000 0.000
0.000 0.000 0.000 0.000
0.000 0.000
0.000
0.400 0.406 -0.406 -0.410 0.410?HARSISUS #.LUAN 1321056
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?( M&'() A; %&)) L)
A C
B) AC CA C" C C B
A. *> -0.318 -0.301 -0.381 -0.414 -0.259
M&'() 0.694 0.694 -0.623 0.347
-0.011 -0.023 -0.021 -0.027 -0.014
0.060 0.120 0.075
0.077
-0.015 -0.031 -0.019
-0.019 -0.039 -0.037 -0.046 -0.023
0.005 0.010 0.006
0.011
0.000 0.001 0.001
-0.003 -0.005 -0.005 -0.006 -0.003
0.001 0.001 0.001
0.002
0.000 0.000 0.000
0.000 -0.001 -0.001 -0.001 0.000
0.000 0.000 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 0.000
0.000 0.000 0.000 0.000 0.000
M = 0.661 0.627 -0.597 -0.030 0.061 0.411
INS?I?U? ?"$NOLO%I NASIONAL MALAN%
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?U%AS B"SAR ANALISA S?RU$?UR
BE