Copy of Anstruk 21

DATA STRUKTUR

Bidang

1 400 150 f'c = 25 Mpa2 400 150 E = 23500 Mpa = 2350003 300 3004 200 2005 100 100.

MATRIKS KEKAKUAN BATANG LOKAL MATRIKS KEKAKUAN BATANG GLOBAL

[Sm] = A . E 1 -1 [Ss] = EL -1 1

E 2.667 -2.667 1

-2.667 2.667 2

E 2.667 -2.667 2

-2.667 2.667 3 PENENTUAN KONDISI BATAS3 4

E 1.000 -1.000 3 [Ss] = E-1.000 1.000 4

E 1.000 -1.000 4

-1.000 1.000 5

E 1.000 -1.000 5

-1.000 1.000 6 HASIL PARTISI2

E 5.333GAYA-GAYA BATANG -2.667BATANG 1 0

1 2 0E 2.667 -2.667 1 1/E 0 1 0

-2.667 2.667 2 -2812.50 2

BATANG 1 = 7500 1 E -2.667-7500 2

BATANG 22 3

E 2.667 -2.667 2 1/E -2812.50 2

-2.667 2.667 3 -4875.00 3 PERHITUNGAN PERPINDAHAN

BATANG 2 = 5500 2 =-5500 3

Luas (A) cm2

Panjang (L) cm

kg/cm2

[Sm]1 =

[Sm]2 =

[Sm]3 =

[Sm]4 =

[Sm]5 =

=BATANG 3

E 1.000 -1.000 3 1/E -4875.00 3

-1.000 1.000 4 -8875.00 4

BATANG 3 = 4000 3 =-4000 4

BATANG 44 5

E 1.000 -1.000 4 1/E -8875.00 4

-1.000 1.000 5 -11875.0 5 REAKSI TUMPUAN JEPIT

BATANG 4 = 3000 4 F =-3000 5

BATANG 55 6

E 1.000 -1.000 5 1/E -11875.0 5 F =-1.000 1.000 6 -12875.0 6

BATANG 5 = 1000 5

-1000 6 -7500

F1 + F2 + F3 + F4 + F5 + F6

MATRIKS KEKAKUAN BATANG GLOBAL1 2 3 4 5 6

2.667 -2.667 0 0 0 0 1

-2.667 5.333 -2.667 0 0 0 2

0 -2.667 3.667 -1 0 0 3

0 0 -1 2 -1 0 4

0 0 0 -1 2 -1 5

0 0 0 0 -1 1 6

PENENTUAN KONDISI BATAS PENATAAN ULANG1 2 3 4 5 6

2.667 -2.667 0 0 0 0 1 [Ss] =-2.667 5.333 -2.667 0 0 0 2

0 -2.667 3.667 -1 0 0 3

0 0 -1 2 -1 0 4

0 0 0 -1 2 -1 5

0 0 0 0 -1 1 6

3 4 5 6

-2.667 0 0 0 2 =3.667 -1 0 0 3

-1 2 -1 0 4

0 -1 2 -1 5

0 0 -1 1 6

3 4 5 6

0 0 0 0 1 =

PERHITUNGAN PERPINDAHAN

2 3 4 5 6

[SFF]-1 {AFC}

1/E 0.375 0.375 0.375 0.375 0.375 2 -2000 kg0.375 0.75 0.75 0.75 0.75 3 -1500 kg0.375 0.75 1.75 1.75 1.75 4 -1000 kg0.375 0.75 1.75 2.75 2.75 5 -2000 kg0.375 0.75 1.75 2.75 3.75 6 -1000 kg

1/E -2812.50 = -0.011968 cm-4875.00 -0.020745 cm-8875.00 -0.037766 cm

-11875.00 -0.050532 cm-12875.00 -0.054787 cm

REAKSI TUMPUAN JEPIT2 3 4 5 6

E -2.667 0 0 0 0 1/E -2812.50-4875.00-8875.00

-11875.00-12875.00

7500 kg

kg = 7500 kg OK!

+ F4 + F5 + F6

PENATAAN ULANG2 3 4 5 6 1

E 5.333 -2.667 0 0 0 -2.667 2

-2.667 3.667 -1.000 0 0 0 3

0 -1.000 2.000 -1.000 0 0 4

0 0 -1.000 2.000 -1.000 0 5

0 0 0 -1.000 1.000 0 6

-2.667 0 0 0 0.000 2.667 1

DATA STRUKTUR

No. (i) (j) EI L 4EI/L1 1 2 1 2 1.500 1.500 2.0002 2 3 1 3 0.444 0.667 1.3333 3 4 2 3.5 0.560 0.980 2.2864 4 5 1.5 4.5 0.198 0.444 1.333

I = 0.0016MATRIKS KEKAKUAN BATANG LOKAL

EIL 4 2

2 41 2 3 4

EI 1.500 1.500 -1.500 1.500 1

1.500 2.000 -1.500 1.000 2

-1.500 -1.500 1.500 -1.500 3

1.500 1.000 -1.500 2.000 4

3 4 5 6

EI 0.444 0.667 -0.444 0.667 3

0.667 1.333 -0.667 0.667 4

-0.444 -0.667 0.444 -0.667 5

0.667 0.667 -0.667 1.333 6

5 6 7 8

EI 0.560 0.980 -0.560 0.980 5

0.980 2.286 -0.980 1.143 6

-0.560 -0.980 0.560 -0.980 7

0.980 1.143 -0.980 2.286 8

7 8 9 10

EI 0.198 0.444 -0.198 0.444 7

0.444 1.333 -0.444 0.667 8

-0.198 -0.444 0.198 -0.444 9

0.444 0.667 -0.444 1.333 10

12EI/L3 6EI/L2

[Sm]i = 12/L2 6/L -12/L2 6/L6/L -6/L

-12/L2 -6/L 12/L2 -6/L

6/L -6/L

[Sm]1 =

[Sm]2 =

[Sm]3 =

[Sm]4 =

MATRIKS KEKAKUAN BATANG GLOBAL

2EI/L 1 2 3 4

1.000 [Ss] = EI 1.500 1.500 -1.500 1.5000.667 1.500 2.000 -1.500 1.0001.143 -1.500 -1.500 1.944 -0.8330.667 1.500 1.000 -0.833 3.333

0 0 -0.444 -0.667

0 0 0.667 0.6670 0 0 00 0 0 0

0 0 0 00 0 0 0

4 6 8 1

[Ss] = EI 3.333 0.667 0 1.5000.667 3.619 1.143 0

0 1.143 3.619 0

1.5 0 0 1.51 0 0 1.5

-0.833 0.667 0 -1.5

-0.667 0.313 0.980 00 -0.980 -0.535 0

0 0 -0.444 00 0 0.667 0

= 1 0.313 -0.064 0.020EI -0.064 0.320 -0.101

0.020 -0.101 0.308

PERPINDAHAN STRUKTUR GLOBAL

[DF] [SFF]-1 {AFC}

= 1 47.978 4

EI 0 5

-52.389 6

19.422 8

PERHITUNGAN REAKSI= - +

-500-500

= - -1250 + EI

-1625-1375-500500

500 71.967500 47.978

= 1250 + -74.908 =1625 -29.3531375 40.926500 -8.632-500 12.948

[AR] {ARD} [SRF}

5 6 7 8 9 10

0 0 0 0 0 0 1

0 0 0 0 0 0 2

-0.444 0.667 0 0 0 0 3

-0.667 0.667 0 0 0 0 4

1.004 0.313 -0.560 0.980 0 0 5

0.313 3.619 -0.980 1.143 0 0 6

-0.560 -0.980 0.757 -0.535 -0.198 0.444 7

0.980 1.143 -0.535 3.619 -0.444 0.667 8

0 0 -0.198 -0.444 0.198 -0.444 9

0 0 0.444 0.667 -0.444 1.333 10

2 3 5 7 9 10

1.000 -0.833 -0.667 0 0 0 4

0 0.667 0.313 -0.980 0 0 6

0 0 0.980 -0.535 -0.444 0.667 8

1.5 -1.5 0 0 0 0 1

2 -1.5 0 0 0 0 2

-1.5 1.944 -0.444 0 0 0 3

0 -0.444 1.004 -0.560 0 0 5

0 0 -0.560 0.757 -0.198 0.444 7

0 0 0 -0.198 0.198 -0.444 9

0 0 0 0.444 -0.444 1.333 10

125 = 1 47.978 4

-135.4167 EI -52.389 6

10.417 19.422 8

1.5 0 01 0 0 1 47.978

-0.833 0.667 0 EI -52.389

-0.667 0.313 0.980 19.4220 -0.980 -0.5350 0 -0.4440 0 0.667

571.967 kg 1547.978 kgm 2

1175.092 kg 31595.647 kg 51415.926 kg 7

491.368 kg 9-487.052 kgm 10

ANALISA BEBAN JOIN EKIVALEN

↙ 250 250 ↘ ↙ 375 375 ↘↑ 500 500 ↑ ↑ 750 750 ↑

↑ 125 125 ↓ ↑ 125 125 ↓↓ 125 125 ↑ ↓ 125 125 ↑

↑ 500 500 ↑ ↑ 750 750 ↑↘ 500 500 ↙ ↘ 375 375 ↙

1 ↓ 500 3 1250 ↓ 5 1625

2 ↘ 500 4 125 ↙ 6 135.4167

0 -500 -500 1

0 -500 -500 2

0 -1250 -1250 3

0 125 125 4

= 0 + -1625 = -1625 5

0 -135.4167 -135.4167 6

0 -1375 -1375 7

0 10.41667 10.41667 8

0 -500 -500 9

0 500 500 10

PERHITUNGAN GAYA UJUNG BATANG LOKAL

= 500 + EI 1.500 1.500 -1.500500 1.500 2.000 -1.500500 -1.500 -1.500 1.500-500 1.500 1.000 -1.500

{AC} {AJ} {AE}

[AM] [AML] [SM] {DM}

= 571.967 1 1.143933

547.978 2

428.033 3 0.856067-404.044 4

= 750 + EI 0.444 0.667 -0.444375 0.667 1.333 -0.667750 -0.444 -0.667 0.444-375 0.667 0.667 -0.667

= 747.059 1 1.494118404.044 2

752.941 3 1.505882-412.867 4

= 875 + EI 0.560 0.980 -0.560510.4167 0.980 2.286 -0.980

875 -0.560 -0.980 0.560-510.4167 0.980 1.143 -0.980

= 842.706 1 1.685412412.867 2

907.294 3 1.814588-525.896 4

= 500 + EI 0.198 0.444 -0.198500 0.444 1.333 -0.444500 -0.198 -0.444 0.198-500 0.444 0.667 -0.444

= 508.632 1 1.017264525.896 2

491.368 3 0.982736-487.052 4

5250.000

DIAGRAM MOMENBatang 1Interval 0-1Mx = 571,967 (x) - 547,978

x= 0 = -547.9778 kgmx= 1 = 23.98891 kgm

Interval 0-1

Mx = 571,967 (x) - 1000 (x-1) - 547,978x= 1 = 23.98891 kgm 1.494118x= 2 = -404.0444 kgm

Batang 2Interval 0-3

x= 0 = -404.0444 kgm 1.685412x= 1 = 93.01478 kgmx= 2 = 90.07392 kgmx= 3 = -412.8669 kgm

Batang 3Interval 0-3,5

x= 0 = -412.8669 kgmx= 1 = 179.839 kgmx= 2 = 272.5449 kgmx= 3 = -134.7492 kgmx= 3.5 = -525.8963 kgm

Batang 4Interval 0-1,5Mx =508,632 (x) - 525,896

x= 0 = -525.8963 kgmx= 1 = -17.2642 kgmx= 1.5 = 237.0519 kgm

Interval 1,5-3Mx =508,632 (x) - 500 (x-1,5) - 525,896

x= 1.5 = 237.0519 kgmx= 2 = 241.3679 kgmx= 3 = 250 kgm

Interval 0-3,5Mx =508,632 (x) - 500 (x-1,5) - 500 (x-3) - 525,896

x= 3 = 250 kgmx= 4 = -241.3679 kgmx= 4.5 = -487.0519 kgm

Mx = 747,059 (x) - 500 (0,5 x2) - 404,044

Mx = 842,706 (x) - 500 (0,5 x2) - 412,867

↙ 510.4167 510.4167 ↘ ↙ 500 500 ↘↑ 875 875 ↑ ↑ 166.6667 333.3333 ↑

↑ 145.8333 145.8333 ↓ ↑ 333.3333 166.6667 ↑↓ 145.8333 145.8333 ↑ ↑ 111.1111 111.1111 ↓

↓ 111.1111 111.1111 ↑

↑ 875 875 ↑ ↑ 500 500 ↑↘ 510.4167 510.4167 ↙ ↘ 500 500 ↙

↓ 7 1375 ↓ 9 500 ↓

↘ 8 10.41667 ↙ 10 500 ↙

-135.4167 6

10.417 8

-500 1

-500 2

-1250 3

-1625 5

-1375 7

-500 9

500 10

1.500 1 0 1

1.000 EI 0 2

-1.500 0 3

2.000 47.978 4

0.667 1 0 1

0.667 EI 47.978 2

-0.667 0 3

1.333 -52.389 4

0.980 1 0 1

1.143 EI -52.389 2

-0.980 0 3

2.286 19.422 4

0.444 1 0 1

0.667 EI 19.422 2

-0.444 0 3

1.333 0 4

154.053 0.308106

297.2863 0.594573

DATA STRUKTUR

A = 150No. (i) (j) L (cm) A/L Cos α Sin α Cos α Sin α

1 1 2 250 0.600 0 1 0 0

2 2 3 250 0.600 0 1 0 0

3 3 4 250 0.600 0 1 0 0

4 4 5 250 0.600 0 1 0 05 5 6 250 0.600 0 1 0 06 6 7 250 0.600 0 1 0 0

7 1 8 195 0.769 310 0.643 -0.766 -0.4928 2 8 195 0.769 230 -0.643 -0.766 0.4929 2 9 195 0.769 310 0.643 -0.766 -0.492

10 3 9 195 0.769 230 -0.643 -0.766 0.49211 3 10 195 0.769 310 0.643 -0.766 -0.49212 4 10 195 0.769 230 -0.643 -0.766 0.492

13 4 11 195 0.769 310 0.643 -0.766 -0.49214 5 11 195 0.769 230 -0.643 -0.766 0.49215 5 12 195 0.769 310 0.643 -0.766 -0.49216 6 12 195 0.769 230 -0.643 -0.766 0.49217 6 13 195 0.769 310 0.643 -0.766 -0.49218 7 13 195 0.769 230 -0.643 -0.766 0.492

19 2 14 300 0.500 270 0 -1 020 3 15 300 0.500 270 0 -1 021 4 16 300 0.500 270 0 -1 022 5 17 300 0.500 270 0 -1 023 6 18 300 0.500 270 0 -1 024 8 14 195 0.769 310 0.643 -0.766 -0.492

25 9 14 195 0.769 230 -0.643 -0.766 0.49226 10 16 195 0.769 310 0.643 -0.766 -0.49227 11 16 195 0.769 230 -0.643 -0.766 0.49228 12 18 195 0.769 310 0.643 -0.766 -0.49229 13 18 195 0.769 230 -0.643 -0.766 0.49230 14 15 250 0.600 0 1 0 0

31 15 16 250 0.600 0 1 0 032 16 17 250 0.600 0 1 0 033 17 18 250 0.600 0 1 0 0

α ( °)

MATRIKS KEKAKUAN BATANG TERHADAP SUMBU GLOBAL

[Ss] =

1 0 = AE Cos x Sin -Cos x Sin

1 0 L Cos x Sin -Cos x Sin

1 0 -Cos x Sin Cos x Sin

1 0 -Cos x Sin Cos x Sin1 01 0

0.413 0.587 = E 0.600 0.000 -0.600 0.0000.413 0.587 0.000 0.000 0.000 0.0000.413 0.587 -0.600 0.000 0.600 0.0000.413 0.587 0.000 0.000 0.000 0.0000.413 0.587 1 2 3 40.413 0.587

0.413 0.587 = E 0.600 0.000 -0.600 0.0000.413 0.587 0.000 0.000 0.000 0.0000.413 0.587 -0.600 0.000 0.600 0.0000.413 0.587 0.000 0.000 0.000 0.0000.413 0.587 3 4 5 60.413 0.587

0 1 = E 0.600 0.000 -0.600 0.0000 1 0.000 0.000 0.000 0.0000 1 -0.600 0.000 0.600 0.0000 1 0.000 0.000 0.000 0.0000 1 5 6 7 8

0.413 0.587

0.413 0.587 = E 0.600 0.000 -0.600 0.0000.413 0.587 0.000 0.000 0.000 0.0000.413 0.587 -0.600 0.000 0.600 0.0000.413 0.587 0.000 0.000 0.000 0.0000.413 0.587 7 8 9 10

1 0 = E 0.600 0.000 -0.600 0.0001 0 0.000 0.000 0.000 0.0001 0 -0.600 0.000 0.600 0.000

0.000 0.000 0.000 0.0009 10 11 12

= E 0.600 0.000 -0.600 0.0000.000 0.000 0.000 0.000-0.600 0.000 0.600 0.0000.000 0.000 0.000 0.000

11 12 13 14

= E 0.318 -0.379 -0.318 0.379

Cos2 α Sin2 α [Tp]T [Sm]S [Tp]S

Cos2 -Cos2

Sin2 -Sin2

-Cos2 Cos2

-Sin2 Sin2

-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

1 2 15 16

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

3 4 15 16

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

3 4 17 18

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

5 6 17 18

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

5 6 19 20

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

7 8 19 20

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

7 8 21 22

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

9 10 21 22

[Ss]10

[Ss]11

[Ss]12

[Ss]13

[Ss]14

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

9 10 23 24

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

11 12 23 24

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

11 12 25 26

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

13 14 25 26

= E 0.000 0.000 0.000 0.0000.000 0.500 0.000 -0.5000.000 0.000 0.000 0.0000.000 -0.500 0.000 0.500

3 4 27 28

= E 0.000 0.000 0.000 0.0000.000 0.500 0.000 -0.5000.000 0.000 0.000 0.0000.000 -0.500 0.000 0.500

5 6 29 30

= E 0.000 0.000 0.000 0.0000.000 0.500 0.000 -0.5000.000 0.000 0.000 0.0000.000 -0.500 0.000 0.500

7 8 31 32

= E 0.000 0.000 0.000 0.0000.000 0.500 0.000 -0.5000.000 0.000 0.000 0.0000.000 -0.500 0.000 0.500

9 10 33 34

[Ss]15

[Ss]16

[Ss]17

[Ss]18

[Ss]19

[Ss]20

[Ss]21

[Ss]22

= E 0.000 0.000 0.000 0.0000.000 0.500 0.000 -0.5000.000 0.000 0.000 0.0000.000 -0.500 0.000 0.500

11 12 35 36

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

15 16 27 28

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

17 18 27 28

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

19 20 31 32

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

21 22 31 32

= E 0.318 -0.379 -0.318 0.379-0.379 0.451 0.379 -0.451-0.318 0.379 0.318 -0.3790.379 -0.451 -0.379 0.451

23 24 35 36

= E 0.318 0.379 -0.318 -0.3790.379 0.451 -0.379 -0.451-0.318 -0.379 0.318 0.379-0.379 -0.451 0.379 0.451

25 26 35 36

= E 0.600 0.000 -0.600 0.0000.000 0.000 0.000 0.000-0.600 0.000 0.600 0.0000.000 0.000 0.000 0.000

[Ss]23

[Ss]24

[Ss]25

[Ss]26

[Ss]27

[Ss]28

[Ss]29

[Ss]30

27 28 29 30

= E 0.600 0.000 -0.600 0.0000.000 0.000 0.000 0.000-0.600 0.000 0.600 0.0000.000 0.000 0.000 0.000

29 30 31 32

= E 0.600 0.000 -0.600 0.0000.000 0.000 0.000 0.000-0.600 0.000 0.600 0.0000.000 0.000 0.000 0.000

31 32 33 34

= E 0.600 0.000 -0.600 0.0000.000 0.000 0.000 0.000-0.600 0.000 0.600 0.0000.000 0.000 0.000 0.000

33 34 35 36

[Ss]31

[Ss]32

[Ss]33

9101112

11121314

9102122

9102324

11122324

11122526

13142526

9103334

11123536

15162728

17182728

19203132

21223132

23243536

25263536

27282930

29303132

31323334

33343536

PERHITUNGAN GAYA UJUNG

= [Ss]

= Cos Sin 0 0-Sin Cos 0 0

0 0 Cos Sin0 0 -Sin Cos

= E 0.600 0.000 -0.600 0.000 1 10.000 0.000 0.000 0.000 2 E-0.600 0.000 0.600 0.000 30.000 0.000 0.000 0.000 4

1 2 3 4

= E 0.600 0.000 -0.600 0.000 3 10.000 0.000 0.000 0.000 4 E-0.600 0.000 0.600 0.000 50.000 0.000 0.000 0.000 6

3 4 5 6

= E 0.600 0.000 -0.600 0.000 5 10.000 0.000 0.000 0.000 6 E-0.600 0.000 0.600 0.000 70.000 0.000 0.000 0.000 8

5 6 7 8

= E 0.600 0.000 -0.600 0.000 7 10.000 0.000 0.000 0.000 8 E-0.600 0.000 0.600 0.000 90.000 0.000 0.000 0.000 10

7 8 9 10

= E 0.600 0.000 -0.600 0.000 9 10.000 0.000 0.000 0.000 10 E-0.600 0.000 0.600 0.000 110.000 0.000 0.000 0.000 12

9 10 11 12

= E 0.600 0.000 -0.600 0.000 11 10.000 0.000 0.000 0.000 12 E-0.600 0.000 0.600 0.000 130.000 0.000 0.000 0.000 14

11 12 13 14

[AM] [DF] [Tp]S

= E 0.318 -0.379 -0.318 0.379 1 1-0.379 0.451 0.379 -0.451 2 E-0.318 0.379 0.318 -0.379 150.379 -0.451 -0.379 0.451 16

1 2 15 16

= E 0.318 0.379 -0.318 -0.379 3 10.379 0.451 -0.379 -0.451 4 E-0.318 -0.379 0.318 0.379 15-0.379 -0.451 0.379 0.451 16

3 4 15 16

= E 0.318 -0.379 -0.318 0.379 3 1-0.379 0.451 0.379 -0.451 4 E-0.318 0.379 0.318 -0.379 170.379 -0.451 -0.379 0.451 18

3 4 17 18

= E 0.318 0.379 -0.318 -0.379 5 10.379 0.451 -0.379 -0.451 6 E-0.318 -0.379 0.318 0.379 17-0.379 -0.451 0.379 0.451 18

5 6 17 18

= E 0.318 -0.379 -0.318 0.379 5 1-0.379 0.451 0.379 -0.451 6 E-0.318 0.379 0.318 -0.379 190.379 -0.451 -0.379 0.451 20

5 6 19 20

= E 0.318 0.379 -0.318 -0.379 7 10.379 0.451 -0.379 -0.451 8 E-0.318 -0.379 0.318 0.379 19-0.379 -0.451 0.379 0.451 20

7 8 19 20

= E 0.318 -0.379 -0.318 0.379 7 1-0.379 0.451 0.379 -0.451 8 E-0.318 0.379 0.318 -0.379 210.379 -0.451 -0.379 0.451 22

7 8 21 22

= E 0.318 0.379 -0.318 -0.379 9 10.379 0.451 -0.379 -0.451 10 E-0.318 -0.379 0.318 0.379 21-0.379 -0.451 0.379 0.451 22

9 10 21 22

[AM]10

[AM]11

[AM]12

[AM]13

[AM]14

= E 0.318 -0.379 -0.318 0.379 9 1-0.379 0.451 0.379 -0.451 10 E-0.318 0.379 0.318 -0.379 230.379 -0.451 -0.379 0.451 24

9 10 23 24

= E 0.318 0.379 -0.318 -0.379 11 10.379 0.451 -0.379 -0.451 12 E-0.318 -0.379 0.318 0.379 23-0.379 -0.451 0.379 0.451 24

11 12 23 24

= E 0.318 -0.379 -0.318 0.379 11 1-0.379 0.451 0.379 -0.451 12 E-0.318 0.379 0.318 -0.379 250.379 -0.451 -0.379 0.451 26

11 12 25 26

= E 0.318 0.379 -0.318 -0.379 13 10.379 0.451 -0.379 -0.451 14 E-0.318 -0.379 0.318 0.379 25-0.379 -0.451 0.379 0.451 26

13 14 25 26

= E 0.000 0.000 0.000 0.000 3 10.000 0.500 0.000 -0.500 4 E0.000 0.000 0.000 0.000 270.000 -0.500 0.000 0.500 28

3 4 27 28

= E 0.000 0.000 0.000 0.000 5 10.000 0.500 0.000 -0.500 6 E0.000 0.000 0.000 0.000 290.000 -0.500 0.000 0.500 30

5 6 29 30

= E 0.000 0.000 0.000 0.000 7 10.000 0.500 0.000 -0.500 8 E0.000 0.000 0.000 0.000 310.000 -0.500 0.000 0.500 32

7 8 31 32

= E 0.000 0.000 0.000 0.000 9 10.000 0.500 0.000 -0.500 10 E0.000 0.000 0.000 0.000 330.000 -0.500 0.000 0.500 34

[AM]15

[AM]16

[AM]17

[AM]18

[AM]19

[AM]20

[AM]21

[AM]22

9 10 33 34

= E 0.000 0.000 0.000 0.000 11 10.000 0.500 0.000 -0.500 12 E0.000 0.000 0.000 0.000 350.000 -0.500 0.000 0.500 36

11 12 35 36

= E 0.318 -0.379 -0.318 0.379 15 1-0.379 0.451 0.379 -0.451 16 E-0.318 0.379 0.318 -0.379 270.379 -0.451 -0.379 0.451 28

15 16 27 28

= E 0.318 0.379 -0.318 -0.379 17 10.379 0.451 -0.379 -0.451 18 E-0.318 -0.379 0.318 0.379 27-0.379 -0.451 0.379 0.451 28

17 18 27 28

= E 0.318 -0.379 -0.318 0.379 19 1-0.379 0.451 0.379 -0.451 20 E-0.318 0.379 0.318 -0.379 310.379 -0.451 -0.379 0.451 32

19 20 31 32

= E 0.318 0.379 -0.318 -0.379 21 10.379 0.451 -0.379 -0.451 22 E-0.318 -0.379 0.318 0.379 31-0.379 -0.451 0.379 0.451 32

21 22 31 32

= E 0.318 -0.379 -0.318 0.379 23 1-0.379 0.451 0.379 -0.451 24 E-0.318 0.379 0.318 -0.379 350.379 -0.451 -0.379 0.451 36

23 24 35 36

= E 0.318 0.379 -0.318 -0.379 25 10.379 0.451 -0.379 -0.451 26 E-0.318 -0.379 0.318 0.379 35-0.379 -0.451 0.379 0.451 36

25 26 35 36

= E 0.600 0.000 -0.600 0.000 27 10.000 0.000 0.000 0.000 28 E-0.600 0.000 0.600 0.000 29

[AM]23

[AM]24

[AM]25

[AM]26

[AM]27

[AM]28

[AM]29

[AM]30

0.000 0.000 0.000 0.000 3027 28 29 30

= E 0.600 0.000 -0.600 0.000 29 10.000 0.000 0.000 0.000 30 E-0.600 0.000 0.600 0.000 310.000 0.000 0.000 0.000 32

29 30 31 32

= E 0.600 0.000 -0.600 0.000 31 10.000 0.000 0.000 0.000 32 E-0.600 0.000 0.600 0.000 330.000 0.000 0.000 0.000 34

31 32 33 34

= E 0.600 0.000 -0.600 0.000 33 10.000 0.000 0.000 0.000 34 E-0.600 0.000 0.600 0.000 350.000 0.000 0.000 0.000 36

33 34 35 36

[AM]31

[AM]32

[AM]33

0 1 1 0 0 0 = 4000 10 2 0 1 0 0 0 2

-6666.667 3 0 0 1 0 -4000 311872.783 4 0 0 0 1 0 4

-6666.667 3 1 0 0 0 = 2000 311872.783 4 0 1 0 0 0 4

-10000 5 0 0 1 0 -2000 532136.563 6 0 0 0 1 0 6

-10000 5 1 0 0 0 = -339 532136.563 6 0 1 0 0 0 6-9434.834 7 0 0 1 0 339 729720.612 8 0 0 0 1 0 8

-9434.834 7 1 0 0 0 = -1339 729720.612 8 0 1 0 0 0 8-7203.001 9 0 0 1 0 1339 924957.701 10 0 0 0 1 0 10

-7203.001 9 1 0 0 0 = -1161 924957.701 10 0 1 0 0 0 10-5268.167 11 0 0 1 0 1161 1115500.868 12 0 0 0 1 0 12

-5268.167 11 1 0 0 0 = -3161 1115500.868 12 0 1 0 0 0 12

0 13 0 0 1 0 3161 130 14 0 0 0 1 0 14

0 1 0.643 -0.766 0 0 = -1999 10 2 0.766 0.643 0 0 0 2

5354.7076 15 0 0 0.643 -0.766 1999 151101.2736 16 0 0 0.766 0.643 0 16

-6666.667 3 -0.643 0.000 0 0 = 0E+00 311872.783 4 0.000 -0.643 0 0 0 41101.2736 15 0 0 -0.643 0.000 0E+00 155354.7076 16 0 0 0.000 -0.643 0 16

-6666.667 3 0.643 -0.766 0 0 = 0E+00 311872.783 4 0.766 0.643 0 0 0 41101.2736 17 0 0 0.643 -0.766 0E+00 1718390.859 18 0 0 0.766 0.643 0 18

-10000 5 -0.643 -0.766 0 0 = -2611 532136.563 6 0.766 -0.643 0 0 0 61101.2736 17 0 0 -0.643 -0.766 2611 1718390.859 18 0 0 0.766 -0.643 0 18

-10000 5 0.643 -0.766 0 0 = -1305 532136.563 6 0.766 0.643 0 0 0 6-9836.971 19 0 0 0.643 -0.766 1305 1930058.046 20 0 0 0.766 0.643 0 20

-9434.834 7 -0.643 -0.766 0 0 = 0E+00 729720.612 8 0.766 -0.643 0 0 0 8-9836.971 19 0 0 -0.643 -0.766 0E+00 1930058.046 20 0 0 0.766 -0.643 0 20

-9434.834 7 0.643 -0.766 0 0 = 0E+00 729720.612 8 0.766 0.643 0 0 0 8-9836.971 21 0 0 0.643 -0.766 0E+00 2129383.179 22 0 0 0.766 0.643 0 22

-7203.001 9 -0.643 -0.766 0 0 = 1305 924957.701 10 0.766 -0.643 0 0 0 10-9836.971 21 0 0 -0.643 -0.766 -1305 2129383.179 22 0 0 0.766 -0.643 0 22

-7203.001 9 0.643 -0.766 0 0 = -1305 924957.701 10 0.766 0.643 0 0 0 10-10550.64 23 0 0 0.643 -0.766 1305 2319933.387 24 0 0 0.766 0.643 0 24

-5268.167 11 -0.643 -0.766 0 0 = 0E+00 1115500.868 12 0.766 -0.643 0 0 0 12-10550.64 23 0 0 -0.643 -0.766 0E+00 2319933.387 24 0 0 0.766 -0.643 0 24

-5268.167 11 0.643 -0.766 0 0 = 0E+00 1115500.868 12 0.766 0.643 0 0 0 12-10550.64 25 0 0 0.643 -0.766 0E+00 2511068.35 26 0 0 0.766 0.643 0 26

0 13 -0.643 -0.766 0 0 = 1305 130 14 0.766 -0.643 0 0 0 14

-10550.64 25 0 0 -0.643 -0.766 -1305 2511068.35 26 0 0 0.766 -0.643 0 26

0 3 0 -1 0 0 = 5936 30 4 1 0 0 0 0 4

3588.9955 27 0 0 0 -1 -5936 2711872.783 28 0 0 1 0 0 28

-10000 5 0 -1 0 0 = 1000 532136.563 6 1 0 0 0 0 6-2005.002 29 0 0 0 -1 -1000 2934136.563 30 0 0 1 0 0 30

-9434.834 7 0 -1 0 0 = 0E+00 729720.612 8 1 0 0 0 0 8

-7599 31 0 0 0 -1 0E+00 3129720.612 32 0 0 1 0 0 32

-7203.001 9 0 -1 0 0 = 0E+00 924957.701 10 1 0 0 0 0 10

-10396 33 0 0 0 -1 0E+00 3324957.701 34 0 0 1 0 0 34

-5268.167 11 0 -1 0 0 = 0E+00 1115500.868 12 1 0 0 0 0 12

-13193 35 0 0 0 -1 0E+00 3515500.868 36 0 0 1 0 0 36

1101.2736 15 0.643 -0.766 0 0 = 3E+03 155354.7076 16 0.766 0.643 0 0 0 163588.9955 27 0 0 0.643 -0.766 -3E+03 2711872.783 28 0 0 0.766 0.643 0 28

1101.2736 17 -0.643 -0.766 0 0 = -2611 1718390.859 18 0.766 -0.643 0 0 0 183588.9955 27 0 0 -0.643 -0.766 2611 2711872.783 28 0 0 0.766 -0.643 0 28

-9836.971 19 0.643 -0.766 0 0 = -1305 1930058.046 20 0.766 0.643 0 0 0 20

-7599 31 0 0 0.643 -0.766 1305 3129720.612 32 0 0 0.766 0.643 0 32

-9836.971 21 -0.643 -0.766 0 0 = 1E+03 2129383.179 22 0.766 -0.643 0 0 0 22

-7599 31 0 0 -0.643 -0.766 -1E+03 3129720.612 32 0 0 0.766 -0.643 0 32

-10550.64 23 0.643 -0.766 0 0 = -1E+03 2319933.387 24 0.766 0.643 0 0 0 24

-13193 35 0 0 0.643 -0.766 1E+03 3515500.868 36 0 0 0.766 0.643 0 36

-10550.64 25 -0.643 -0.766 0 0 = 1305 2511068.35 26 0.766 -0.643 0 0 0 26

-13193 35 0 0 -0.643 -0.766 -1305 3515500.868 36 0 0 0.766 -0.643 0 36

3588.9955 27 1 0 0 0 = 3356 2711872.783 28 0 1 0 0 0 28-2005.002 29 0 0 1 0 -3356 29

34136.563 30 0 0 0 1 0 30

-2005.002 29 1 0 0 0 = 3356 2934136.563 30 0 1 0 0 0 30

-7599 31 0 0 1 0 -3356 3129720.612 32 0 0 0 1 0 32

-7599 31 1 0 0 0 = 2E+03 3129720.612 32 0 1 0 0 0 32

-10396 33 0 0 1 0 -2E+03 3324957.701 34 0 0 0 1 0 34

-10396 33 1 0 0 0 = 2E+03 3324957.701 34 0 1 0 0 0 34

-13193 35 0 0 1 0 -2E+03 3515500.868 36 0 0 0 1 0 36

MATRIKS KEKAKUAN GLOBAL PARTISI KONDISI BATAS1 2 3 4 5 6

[Ss] = E 0.918 -0.379 -0.600 0.000 0.000 0.000-0.379 0.451 0.000 0.000 0.000 0.000-0.600 0.000 1.836 0.000 -0.600 0.0000.000 0.000 0.000 1.403 0.000 0.0000.000 0.000 -0.600 0.000 1.836 0.0000.000 0.000 0.000 0.000 0.000 1.4030.000 0.000 0.000 0.000 -0.600 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000-0.318 0.379 -0.318 -0.379 0.000 0.0000.379 -0.451 -0.379 -0.451 0.000 0.0000.000 0.000 -0.318 0.379 -0.318 -0.3790.000 0.000 0.379 -0.451 -0.379 -0.4510.000 0.000 0.000 0.000 -0.318 0.3790.000 0.000 0.000 0.000 0.379 -0.4510.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.500 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.5000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000

1 2 3 4 5 6 70.6 0 -0.6 00 0 0 0

-0.6 0 0.6 00 0 0 0

1 2 3 4 5 6 7

0.6 0 -0.6 00 0 0 0

-0.6 0 0.6 00 0 0 0

1 2 3 4 5 6 7

0.6 0 -0.60 0 0

-0.6 0 0.60 0 0

1 2 3 4 5 6 7

1 2 3 4 5 6 70.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

1 2 3 4 5 6 7

0.3178276 0.37877220.3787722 0.4514031

-0.317828 -0.378772-0.378772 -0.451403

1 2 3 4 5 6 7

0.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

1 2 3 4 5 6 7

0.3178276 0.37877220.3787722 0.4514031

-0.317828 -0.378772-0.378772 -0.451403

1 2 3 4 5 6 7

0.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

1 2 3 4 5 6 7

0.31782760.3787722

-0.317828-0.378772

1 2 3 4 5 6 7

0.3178276-0.378772

-0.3178280.3787722

1 2 3 4 5 6 7

0 00 1

0 00 -1

1 2 3 4 5 6 7

0 00 -1

1 2 3 4 5 6 7

7 8 9 10 11 12 13 14 150.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3180.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.3790.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3180.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.379-0.600 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001.836 0.000 -0.600 0.000 0.000 0.000 0.000 0.000 0.0000.000 1.403 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.600 0.000 1.836 0.000 -0.600 0.000 0.000 0.000 0.0000.000 0.000 0.000 1.403 0.000 0.000 0.000 0.000 0.0000.000 0.000 -0.600 0.000 1.836 0.000 -0.600 0.000 0.0000.000 0.000 0.000 0.000 0.000 1.403 0.000 0.000 0.0000.000 0.000 0.000 0.000 -0.600 0.000 0.918 0.379 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.379 0.451 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.9530.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3790.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.318 -0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.318 0.379 -0.318 -0.379 0.000 0.000 0.000 0.000 0.0000.379 -0.451 -0.379 -0.451 0.000 0.000 0.000 0.000 0.0000.000 0.000 -0.318 0.379 -0.318 -0.379 0.000 0.000 0.0000.000 0.000 0.379 -0.451 -0.379 -0.451 0.000 0.000 0.0000.000 0.000 0.000 0.000 -0.318 0.379 -0.318 -0.379 0.0000.000 0.000 0.000 0.000 0.379 -0.451 -0.379 -0.451 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3180.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.3790.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 -0.500 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.500 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.500 0.000 0.000 0.000

8 9 10 11 12 13 14 15 16

0 -0.6 00 0 00 0.6 00 0 0

8 9 10 11 12 13 14 15 16

0.6 0 -0.6 00 0 0 0

-0.6 0 0.6 00 0 0 0

8 9 10 11 12 13 14 15 16

0.6 0 -0.6 00 0 0 0

-0.6 0 0.6 00 0 0 0

8 9 10 11 12 13 14 15 16-0.317828 0.37877220.3787722 -0.451403

0.3178276 -0.378772-0.378772 0.4514031

8 9 10 11 12 13 14 15 16

-0.317828 -0.378772-0.378772 -0.451403

0.3178276 0.37877220.3787722 0.4514031

8 9 10 11 12 13 14 15 16

0.37877220.4514031

-0.378772-0.451403

8 9 10 11 12 13 14 15 16

-0.3787720.4514031

0.3787722-0.451403

8 9 10 11 12 13 14 15 16

0.3178276 0.37877220.3787722 0.4514031

-0.317828 -0.378772-0.378772 -0.451403

8 9 10 11 12 13 14 15 16

0.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

8 9 10 11 12 13 14 15 16

0.3178276 0.37877220.3787722 0.4514031

-0.317828 -0.378772-0.378772 -0.451403

8 9 10 11 12 13 14 15 16

0.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

8 9 10 11 12 13 14 15 16

0.3178276 0.37877220.3787722 0.4514031

-0.317828 -0.378772-0.378772 -0.451403

8 9 10 11 12 13 14 15 16

0 00 1

0 00 -1

8 9 10 11 12 13 14 15 16

0 00 1

8 9 10 11 12 13 14 15 16

0.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

8 9 10 11 12 13 14 15 16

16 17 18 19 20 21 22 23 240.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.379 -0.318 0.379 0.000 0.000 0.000 0.000 0.000 0.000-0.451 0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.0000.000 -0.318 -0.379 -0.318 0.379 0.000 0.000 0.000 0.0000.000 -0.379 -0.451 0.379 -0.451 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.318 -0.379 -0.318 0.379 0.000 0.0000.000 0.000 0.000 -0.379 -0.451 0.379 -0.451 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.318 -0.379 -0.318 0.3790.000 0.000 0.000 0.000 0.000 -0.379 -0.451 0.379 -0.4510.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.318 -0.3790.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.379 -0.4510.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001.354 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.953 0.379 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.379 1.354 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.953 -0.379 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.379 1.354 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.953 0.379 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.379 1.354 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.953 -0.3790.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.379 1.3540.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.379 -0.318 -0.379 0.000 0.000 0.000 0.000 0.000 0.000-0.451 -0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.318 0.379 -0.318 -0.379 0.000 0.0000.000 0.000 0.000 0.379 -0.451 -0.379 -0.451 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.318 0.3790.000 0.000 0.000 0.000 0.000 0.000 0.000 0.379 -0.451

17 18 19 20 21 22 23 24 25

-0.317828 0.37877220.3787722 -0.451403

0.3178276 -0.378772-0.378772 0.4514031

17 18 19 20 21 22 23 24 25

-0.317828 -0.378772-0.378772 -0.451403

0.3178276 0.37877220.3787722 0.4514031

17 18 19 20 21 22 23 24 25

-0.317828 0.37877220.3787722 -0.451403

0.3178276 -0.378772-0.378772 0.4514031

17 18 19 20 21 22 23 24 25

-0.317828 -0.378772-0.378772 -0.451403

0.3178276 0.37877220.3787722 0.4514031

17 18 19 20 21 22 23 24 25

-0.317828 0.37877220.3787722 -0.451403

0.3178276 -0.378772-0.378772 0.4514031

17 18 19 20 21 22 23 24 25

-0.317828 -0.378772-0.378772 -0.451403

0.3178276 0.37877220.3787722 0.4514031

17 18 19 20 21 22 23 24 25

-0.317828 0.37877220.3787722 -0.451403

0.3178276 -0.378772-0.378772 0.4514031

17 18 19 20 21 22 23 24 25

-0.317828 -0.378772-0.378772 -0.451403

0.3178276 0.37877220.3787722 0.4514031

17 18 19 20 21 22 23 24 25

-0.3178280.3787722

0.3178276-0.378772

17 18 19 20 21 22 23 24 25

-0.317828-0.378772

0.31782760.3787722

17 18 19 20 21 22 23 24 25

0.3178276 0.37877220.3787722 0.4514031

-0.317828 -0.378772-0.378772 -0.451403

17 18 19 20 21 22 23 24 25

0.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

17 18 19 20 21 22 23 24 25

0.3178276 0.37877220.3787722 0.4514031

-0.317828 -0.378772-0.378772 -0.451403

17 18 19 20 21 22 23 24 25

0.3178276 -0.378772-0.378772 0.4514031

-0.317828 0.37877220.3787722 -0.451403

17 18 19 20 21 22 23 24 25

0.31782760.3787722

-0.317828-0.378772

17 18 19 20 21 22 23 24 25

25 26 27 28 29 30 31 32 330.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.500 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.500 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.500 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.318 0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.318 -0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 -0.318 0.379 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.379 -0.451 0.000 0.000 0.000 0.000 0.0000.000 0.000 -0.318 -0.379 0.000 0.000 0.000 0.000 0.0000.000 0.000 -0.379 -0.451 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 -0.318 0.379 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.379 -0.451 0.0000.000 0.000 0.000 0.000 0.000 0.000 -0.318 -0.379 0.0000.000 0.000 0.000 0.000 0.000 0.000 -0.379 -0.451 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.953 0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.379 1.354 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 1.236 0.000 -0.600 0.000 0.000 0.000 0.0000.000 0.000 0.000 1.403 0.000 0.000 0.000 0.000 0.0000.000 0.000 -0.600 0.000 1.200 0.000 -0.600 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.500 0.000 0.000 0.0000.000 0.000 0.000 0.000 -0.600 0.000 1.836 0.000 -0.6000.000 0.000 0.000 0.000 0.000 0.000 0.000 1.403 0.0000.000 0.000 0.000 0.000 0.000 0.000 -0.600 0.000 1.2000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.318 -0.379 0.000 0.000 0.000 0.000 0.000 0.000 -0.600-0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.000

26 27 28 29 30 31 32 33 34

0.3787722-0.451403

-0.3787720.4514031

26 27 28 29 30 31 32 33 34

-0.378772-0.451403

0.37877220.4514031

26 27 28 29 30 31 32 33 34

0 00 -1

0 00 1

26 27 28 29 30 31 32 33 34

0 00 1

26 27 28 29 30 31 32 33 34

0 00 -1

0 00 1

26 27 28 29 30 31 32 33 34

0 00 -1

0 00 1

26 27 28 29 30 31 32 33 34

-0.317828 0.37877220.3787722 -0.451403

0.3178276 -0.378772-0.378772 0.4514031

26 27 28 29 30 31 32 33 34

-0.317828 -0.378772-0.378772 -0.451403

0.3178276 0.37877220.3787722 0.4514031

26 27 28 29 30 31 32 33 34

-0.317828 0.37877220.3787722 -0.451403

0.3178276 -0.378772-0.378772 0.4514031

26 27 28 29 30 31 32 33 34

-0.317828 -0.378772-0.378772 -0.451403

0.3178276 0.37877220.3787722 0.4514031

26 27 28 29 30 31 32 33 34

0.37877220.4514031

-0.378772-0.451403

26 27 28 29 30 31 32 33 34

0.6 0 -0.6 00 0 0 0

-0.6 0 0.6 00 0 0 0

26 27 28 29 30 31 32 33 34

0.6 0 -0.6 00 0 0 0

-0.6 0 0.6 00 0 0 0

26 27 28 29 30 31 32 33 34

0.6 0 -0.6 00 0 0 0

-0.6 0 0.6 00 0 0 0

26 27 28 29 30 31 32 33 34

0.6 00 0

-0.6 00 0

34 35 360.000 0.000 0.000 1 Batang Gaya Tekan/Tarik0.000 0.000 0.000 2 1 4000 Tekan0.000 0.000 0.000 3 2 2000 Tekan0.000 0.000 0.000 4 3 -339 Tarik0.000 0.000 0.000 5 4 -1339 Tarik0.000 0.000 0.000 6 5 -1161 Tarik0.000 0.000 0.000 7 6 -3161 Tarik0.000 0.000 0.000 8 7 -1999 Tarik0.000 0.000 0.000 9 8 0 Tekan-0.500 0.000 0.000 10 9 0 Tekan0.000 0.000 0.000 11 10 -2611 Tarik0.000 0.000 -0.500 12 11 -1305 Tarik0.000 0.000 0.000 13 12 0 Tekan0.000 0.000 0.000 14 13 0 Tekan0.000 0.000 0.000 15 14 1305 Tekan0.000 0.000 0.000 16 15 -1305 Tarik0.000 0.000 0.000 17 16 0 Tarik0.000 0.000 0.000 18 17 0 Tarik0.000 0.000 0.000 19 18 1305 Tekan0.000 0.000 0.000 20 19 5936 Tekan0.000 0.000 0.000 21 20 1000 Tekan0.000 0.000 0.000 22 21 0 Tekan0.000 -0.318 0.379 23 22 0 Tarik0.000 0.379 -0.451 24 23 0 Tekan0.000 -0.318 -0.379 25 24 2611 Tekan0.000 -0.379 -0.451 26 25 -2611 Tarik0.000 0.000 0.000 27 26 -1305 Tarik0.000 0.000 0.000 28 27 1305 Tekan0.000 0.000 0.000 29 28 -1305 Tarik0.000 0.000 0.000 30 29 1305 Tekan0.000 0.000 0.000 31 30 3356 Tekan0.000 0.000 0.000 32 31 3356 Tekan0.000 -0.600 0.000 33 32 1678 Tekan0.500 0.000 0.000 34 33 1678 Tekan0.000 1.236 0.000 350.000 0.000 1.403 36

35 361234567

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100 0 110 -1 12

13141516171819202122232425262728293031323334

0 0 35

0 1 36

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10111213141516171819202122

-0.317828 0.3787722 230.3787722 -0.451403 24

25262728293031323334

0.3178276 -0.378772 35-0.378772 0.4514031 36

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0.3178276 0.3787722 350.3787722 0.4514031 36

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1011121314151617181920212223242526272829303132

-0.6 0 330 0 34

0.6 0 35

0 0 36

=3 4 5 6 7 8

= 1 1.389 0.466 1.111 0.000 0.833 -0.466E 0.466 7.518 0.932 5.822 0.932 4.562

1.111 0.932 2.222 0.000 1.667 -0.9320.000 5.822 0.000 11.645 0.466 9.9070.833 0.932 1.667 0.466 2.500 0.000-0.466 4.562 -0.932 9.907 0.000 14.9050.556 0.932 1.111 0.932 1.667 0.932-0.466 3.302 -0.932 7.387 -0.466 9.9070.278 0.466 0.556 0.466 0.833 0.466-0.466 1.260 -0.932 3.302 -0.932 4.5620.972 3.613 1.111 2.589 0.972 1.8250.816 4.877 0.932 3.650 0.816 2.6390.972 -0.091 1.111 2.589 0.972 1.8250.117 7.050 0.932 7.995 1.049 6.4850.694 0.402 1.389 -0.362 1.806 1.852-0.350 5.008 -0.699 10.602 0.583 13.3510.694 0.402 1.389 -0.362 1.806 -1.852-0.583 4.117 -1.165 9.212 -0.583 13.3510.417 -0.298 0.833 -1.295 0.972 -1.825-0.583 1.901 -1.165 4.780 -1.049 6.4850.417 -0.298 0.833 -1.295 0.972 -1.825-0.350 0.619 -0.699 1.825 -0.816 2.6390.556 2.175 1.111 3.419 1.111 2.7970.466 5.518 0.932 5.822 0.932 4.5620.556 1.243 1.111 1.554 1.111 1.3980.000 5.822 0.000 11.645 0.466 9.9070.556 0.311 1.111 -0.311 1.111 0.000-0.466 4.562 -0.932 9.907 0.000 12.9050.556 -0.155 1.111 -1.243 1.111 -1.398-0.466 3.302 -0.932 7.387 -0.466 9.9070.556 -0.622 1.111 -2.175 1.111 -2.797-0.466 1.260 -0.932 3.302 -0.932 4.562

= 1 -6666.7 3 -0.003175 cmE 11872.8 4 0.0056537 cm

-10000.0 5 -0.004762 cm32136.6 6 0.0153031 cm-9434.8 7 -0.004493 cm29720.6 8 0.0141527 cm-7203.0 9 -0.00343 cm24957.7 10 0.0118846 cm-5268.2 11 -0.002509 cm15500.9 12 0.0073814 cm1101.3 15 0.0005244 cm5354.7 16 0.0025499 cm

[DF] [SFF]-1 {AFC}

1101.3 17 0.0005244 cm18390.9 18 0.0087576 cm-9837.0 19 -0.004684 cm30058.0 20 0.0143134 cm-9837.0 21 -0.004684 cm29383.2 22 0.013992 cm-10550.6 23 -0.005024 cm19933.4 24 0.0094921 cm-10550.6 25 -0.005024 cm11068.4 26 0.0052706 cm3589.0 27 0.001709 cm

11872.8 28 0.0056537 cm-2005.0 29 -0.000955 cm34136.6 30 0.0162555 cm-7599.0 31 -0.003619 cm29720.6 32 0.0141527 cm-10396.0 33 -0.00495 cm24957.7 34 0.0118846 cm-13193.0 35 -0.006282 cm15500.9 36 0.0073814 cm

PERHITUNGAN PERPINDAHAN=

3 4 5 6 7 8= E -0.600 0.000 0.000 0.000 0.000 0.000

0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000

[AR] [SRF} [DF]

= 5678.1993 1-2000 2

2321.8007 13-1000 14

KONTROL REAKSIΣV = 0

2000 + 1500 + 1000 + 1500 + 2000 = 5678,199 + 2321,8018000 = 8000 kg OK!

ΣH = 02000 + 1000 = 2000 + 1000

3000 = 3000 kg OK!

9 10 11 12 15 16 17 18 19

0.556 -0.466 0.278 -0.466 0.972 0.816 0.972 0.117 0.6940.932 3.302 0.466 1.260 3.613 4.877 -0.091 7.050 0.4021.111 -0.932 0.556 -0.932 1.111 0.932 1.111 0.932 1.3890.932 7.387 0.466 3.302 2.589 3.650 2.589 7.995 -0.3621.667 -0.466 0.833 -0.932 0.972 0.816 0.972 1.049 1.8060.932 9.907 0.466 4.562 1.825 2.639 1.825 6.485 1.8522.222 0.000 1.111 -0.932 0.833 0.699 0.833 1.165 1.3890.000 11.645 0.000 5.822 1.295 1.825 1.295 4.780 0.3621.111 0.000 1.389 -0.466 0.417 0.350 0.417 0.583 0.694-0.932 5.822 -0.466 7.518 0.298 0.619 0.298 1.901 -0.4020.833 1.295 0.417 0.298 3.556 2.764 0.563 3.269 0.7180.699 1.825 0.350 0.619 2.764 4.350 0.252 4.405 0.3820.833 1.295 0.417 0.298 0.563 0.252 3.556 0.757 0.7181.165 4.780 0.583 1.901 3.269 4.405 0.757 8.696 0.4211.389 0.362 0.694 -0.402 0.718 0.382 0.718 0.421 3.8341.165 9.212 0.583 4.117 2.039 3.003 2.039 7.012 1.4701.389 0.362 0.694 -0.402 0.718 0.382 0.718 0.421 0.8410.699 10.602 0.350 5.008 1.612 2.275 1.612 5.958 1.0421.111 -2.589 0.972 0.091 0.162 -0.084 0.162 -0.511 0.718-0.932 7.995 -0.117 7.050 0.511 0.983 0.511 2.819 -0.4211.111 -2.589 0.972 -3.613 0.162 -0.084 0.162 -0.511 0.718-0.932 3.650 -0.816 4.877 0.084 0.255 0.084 0.983 -0.3821.111 2.175 0.556 0.622 1.836 1.101 1.836 3.250 1.0030.932 3.302 0.466 1.260 2.421 3.877 1.101 6.050 0.4021.111 1.243 0.556 0.155 1.281 0.635 1.281 1.852 1.2810.932 7.387 0.466 3.302 2.589 3.650 2.589 7.995 -0.3621.111 0.311 0.556 -0.311 0.725 0.168 0.725 0.453 1.5580.932 9.907 0.466 4.562 1.825 2.639 1.825 6.485 0.6601.111 -1.554 0.556 -1.243 0.447 -0.065 0.447 -0.246 1.2810.000 11.645 0.000 5.822 1.295 1.825 1.295 4.780 0.3621.111 -3.419 0.556 -2.175 0.170 -0.298 0.170 -0.945 1.003-0.932 5.822 -0.466 5.518 0.298 0.619 0.298 1.901 -0.402

baja 200000 mpa

1 mpa = 1 n/mm2 = 10 kg/cm2

9 10 11 12 15 16 17 18 19

0.000 0.000 0.000 0.000 -0.318 0.379 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.379 -0.451 0.000 0.000 0.0000.000 0.000 -0.600 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

20 21 22 23 24 25 26 27 28

-0.350 0.694 -0.583 0.417 -0.583 0.417 -0.350 0.556 0.4665.008 0.402 4.117 -0.298 1.901 -0.298 0.619 2.175 5.518-0.699 1.389 -1.165 0.833 -1.165 0.833 -0.699 1.111 0.93210.602 -0.362 9.212 -1.295 4.780 -1.295 1.825 3.419 5.8220.583 1.806 -0.583 0.972 -1.049 0.972 -0.816 1.111 0.932

13.351 -1.852 13.351 -1.825 6.485 -1.825 2.639 2.797 4.5621.165 1.389 0.699 1.111 -0.932 1.111 -0.932 1.111 0.9329.212 0.362 10.602 -2.589 7.995 -2.589 3.650 2.175 3.3020.583 0.694 0.350 0.972 -0.117 0.972 -0.816 0.556 0.4664.117 -0.402 5.008 0.091 7.050 -3.613 4.877 0.622 1.2602.039 0.718 1.612 0.162 0.511 0.162 0.084 1.836 2.4213.003 0.382 2.275 -0.084 0.983 -0.084 0.255 1.101 3.8772.039 0.718 1.612 0.162 0.511 0.162 0.084 1.836 1.1017.012 0.421 5.958 -0.511 2.819 -0.511 0.983 3.250 6.0501.470 0.841 1.042 0.718 -0.421 0.718 -0.382 1.003 0.402

13.714 -1.042 11.987 -1.612 5.958 -1.612 2.275 2.888 5.008-1.042 3.834 -1.470 0.718 -0.421 0.718 -0.382 1.003 0.40211.987 -1.470 13.714 -2.039 7.012 -2.039 3.003 2.706 4.117-1.612 0.718 -2.039 3.556 -0.757 0.563 -0.252 0.170 -0.2985.958 -0.421 7.012 -0.757 8.696 -3.269 4.405 0.945 1.901-1.612 0.718 -2.039 0.563 -3.269 3.556 -2.764 0.170 -0.2982.275 -0.382 3.003 -0.252 4.405 -2.764 4.350 0.298 0.6192.888 1.003 2.706 0.170 0.945 0.170 0.298 3.641 2.1755.008 0.402 4.117 -0.298 1.901 -0.298 0.619 2.175 5.5181.256 1.281 1.541 0.447 0.246 0.447 0.065 2.530 1.243

10.602 -0.362 9.212 -1.295 4.780 -1.295 1.825 3.419 5.822-0.375 1.558 0.375 0.725 -0.453 0.725 -0.168 1.419 0.31112.351 -0.660 12.351 -1.825 6.485 -1.825 2.639 2.797 4.562-1.541 1.281 -1.256 1.281 -1.852 1.281 -0.635 0.864 -0.1559.212 0.362 10.602 -2.589 7.995 -2.589 3.650 2.175 3.302-2.706 1.003 -2.888 1.836 -3.250 1.836 -1.101 0.308 -0.6224.117 -0.402 5.008 -1.101 6.050 -2.421 3.877 0.622 1.260

20 21 22 23 24 25 26 27 28

0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.318 -0.379 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.379 -0.451 0.000 0.000

29 30 31 32 33 34 35 36

0.556 0.000 0.556 -0.466 0.556 -0.466 0.556 -0.466 31.243 5.822 0.311 4.562 -0.155 3.302 -0.622 1.260 41.111 0.000 1.111 -0.932 1.111 -0.932 1.111 -0.932 51.554 11.645 -0.311 9.907 -1.243 7.387 -2.175 3.302 61.111 0.466 1.111 0.000 1.111 -0.466 1.111 -0.932 71.398 9.907 0.000 12.905 -1.398 9.907 -2.797 4.562 81.111 0.932 1.111 0.932 1.111 0.000 1.111 -0.932 91.243 7.387 0.311 9.907 -1.554 11.645 -3.419 5.822 100.556 0.466 0.556 0.466 0.556 0.000 0.556 -0.466 110.155 3.302 -0.311 4.562 -1.243 5.822 -2.175 5.518 121.281 2.589 0.725 1.825 0.447 1.295 0.170 0.298 150.635 3.650 0.168 2.639 -0.065 1.825 -0.298 0.619 161.281 2.589 0.725 1.825 0.447 1.295 0.170 0.298 171.852 7.995 0.453 6.485 -0.246 4.780 -0.945 1.901 181.281 -0.362 1.558 0.660 1.281 0.362 1.003 -0.402 191.256 10.602 -0.375 12.351 -1.541 9.212 -2.706 4.117 201.281 -0.362 1.558 -0.660 1.281 0.362 1.003 -0.402 211.541 9.212 0.375 12.351 -1.256 10.602 -2.888 5.008 220.447 -1.295 0.725 -1.825 1.281 -2.589 1.836 -1.101 230.246 4.780 -0.453 6.485 -1.852 7.995 -3.250 6.050 240.447 -1.295 0.725 -1.825 1.281 -2.589 1.836 -2.421 250.065 1.825 -0.168 2.639 -0.635 3.650 -1.101 3.877 262.530 3.419 1.419 2.797 0.864 2.175 0.308 0.622 271.243 5.822 0.311 4.562 -0.155 3.302 -0.622 1.260 283.086 1.554 1.975 1.398 1.419 1.243 0.864 0.155 291.554 13.645 -0.311 9.907 -1.243 7.387 -2.175 3.302 301.975 -0.311 2.530 0.000 1.975 0.311 1.419 -0.311 311.398 9.907 0.000 12.905 -1.398 9.907 -2.797 4.562 321.419 -1.243 1.975 -1.398 3.086 -1.554 2.530 -1.243 331.243 7.387 0.311 9.907 -1.554 13.645 -3.419 5.822 340.864 -2.175 1.419 -2.797 2.530 -3.419 3.641 -2.175 350.155 3.302 -0.311 4.562 -1.243 5.822 -2.175 5.518 36

29 30 31 32 33 34 35 36

0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 10.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 130.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 14

-2000 30 4

-1500 52000 6-1000 7

0 8-1500 9

0 10-2000 11

0 120 150 160 170 180 190 200 210 220 230 240 250 260 270 280 29

1000 300 310 320 330 340 350 36

1 -6666.7 3E 11872.8 4

-10000.0 532136.6 6-9434.8 729720.6 8-7203.0 924957.7 10-5268.2 1115500.9 121101.3 155354.7 161101.3 17

18390.9 18-9837.0 1930058.0 20-9837.0 2129383.2 22-10550.6 2319933.4 24-10550.6 2511068.4 263589.0 27

11872.8 28-2005.0 2934136.6 30-7599.0 3129720.6 32-10396.0 3324957.7 34-13193.0 3515500.9 36

PENATAAN ULANG3 4 5 6 7 8 9

[Ss] = E 1.836 0.000 -0.600 0.000 0.000 0.000 0.0000.000 1.403 0.000 0.000 0.000 0.000 0.000-0.600 0.000 1.836 0.000 -0.600 0.000 0.0000.000 0.000 0.000 1.403 0.000 0.000 0.0000.000 0.000 -0.600 0.000 1.836 0.000 -0.6000.000 0.000 0.000 0.000 0.000 1.403 0.0000.000 0.000 0.000 0.000 -0.600 0.000 1.8360.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 -0.6000.000 0.000 0.000 0.000 0.000 0.000 0.000

-0.318 -0.379 0.000 0.000 0.000 0.000 0.000-0.379 -0.451 0.000 0.000 0.000 0.000 0.000-0.318 0.379 -0.318 -0.379 0.000 0.000 0.0000.379 -0.451 -0.379 -0.451 0.000 0.000 0.0000.000 0.000 -0.318 0.379 -0.318 -0.379 0.0000.000 0.000 0.379 -0.451 -0.379 -0.451 0.0000.000 0.000 0.000 0.000 -0.318 0.379 -0.3180.000 0.000 0.000 0.000 0.379 -0.451 -0.3790.000 0.000 0.000 0.000 0.000 0.000 -0.3180.000 0.000 0.000 0.000 0.000 0.000 0.3790.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 -0.500 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.500 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.500 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000-0.600 0.000 0.000 0.000 0.000 0.000 0.000

0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000

10 11 12 15 16 17 18 19 20 210.000 0.000 0.000 -0.318 -0.379 -0.318 0.379 0.000 0.000 0.0000.000 0.000 0.000 -0.379 -0.451 0.379 -0.451 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.318 -0.379 -0.318 0.379 0.0000.000 0.000 0.000 0.000 0.000 -0.379 -0.451 0.379 -0.451 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.318 -0.379 -0.3180.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.379 -0.451 0.3790.000 -0.600 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3181.403 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3790.000 1.836 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 1.403 0.000 0.000 0.000 0.000 0.000 0.000 0.000

0.000 0.000 0.000 0.953 -0.379 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.379 1.354 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.953 0.379 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.379 1.354 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.953 -0.379 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.379 1.354 0.000-0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.953-0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.3790.379 -0.318 -0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.451 -0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 -0.318 0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.318 0.379 -0.318 -0.379 0.000 0.000 0.0000.000 0.000 0.000 0.379 -0.451 -0.379 -0.451 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.318 0.379 -0.3180.000 0.000 0.000 0.000 0.000 0.000 0.000 0.379 -0.451 -0.3790.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.500 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 -0.500 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.318 0.379 0.000 0.000 0.000 0.000 0.000

0.000 0.000 0.000 0.379 -0.451 0.000 0.000 0.000 0.000 0.0000.000 -0.600 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

22 23 24 25 26 27 28 29 30 310.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 -0.500 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.500 0.0000.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.379 -0.318 0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000-0.451 0.379 -0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 -0.318 -0.379 -0.318 0.379 0.000 0.000 0.000 0.000 0.0000.000 -0.379 -0.451 0.379 -0.451 0.000 0.000 0.000 0.000 0.000

0.000 0.000 0.000 0.000 0.000 -0.318 0.379 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.379 -0.451 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.318 -0.379 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.379 -0.451 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3180.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.3790.379 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3181.354 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.3790.000 0.953 -0.379 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 -0.379 1.354 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.953 0.379 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.379 1.354 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 1.236 0.000 -0.600 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 1.403 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 -0.600 0.000 1.200 0.000 -0.6000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.500 0.000-0.379 0.000 0.000 0.000 0.000 0.000 0.000 -0.600 0.000 1.836-0.451 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.6000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 -0.318 0.379 -0.318 -0.379 0.000 0.000 0.000 0.000 0.0000.000 0.379 -0.451 -0.379 -0.451 0.000 0.000 0.000 0.000 0.0000.000 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 0.0000.000 0.000 0.000 -0.318 -0.379 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 -0.379 -0.451 0.000 0.000 0.000 0.000 0.000

32 33 34 35 36 1 2 13 140.000 0.000 0.000 0.000 0.000 30.000 0.000 0.000 0.000 0.000 40.000 0.000 0.000 0.000 0.000 50.000 0.000 0.000 0.000 0.000 60.000 0.000 0.000 0.000 0.000 7-0.500 0.000 0.000 0.000 0.000 80.000 0.000 0.000 0.000 0.000 90.000 0.000 -0.500 0.000 0.000 100.000 0.000 0.000 0.000 0.000 110.000 0.000 0.000 0.000 -0.500 12

0.000 0.000 0.000 0.000 0.000 150.000 0.000 0.000 0.000 0.000 160.000 0.000 0.000 0.000 0.000 170.000 0.000 0.000 0.000 0.000 180.379 0.000 0.000 0.000 0.000 19-0.451 0.000 0.000 0.000 0.000 20-0.379 0.000 0.000 0.000 0.000 21-0.451 0.000 0.000 0.000 0.000 220.000 0.000 0.000 -0.318 0.379 230.000 0.000 0.000 0.379 -0.451 240.000 0.000 0.000 -0.318 -0.379 250.000 0.000 0.000 -0.379 -0.451 260.000 0.000 0.000 0.000 0.000 270.000 0.000 0.000 0.000 0.000 280.000 0.000 0.000 0.000 0.000 290.000 0.000 0.000 0.000 0.000 300.000 -0.600 0.000 0.000 0.000 311.403 0.000 0.000 0.000 0.000 320.000 1.200 0.000 -0.600 0.000 330.000 0.000 0.500 0.000 0.000 340.000 -0.600 0.000 1.236 0.000 350.000 0.000 0.000 0.000 1.403 360.000 0.000 0.000 0.000 0.000 1

0.000 0.000 0.000 0.000 0.000 20.000 0.000 0.000 0.000 0.000 130.000 0.000 0.000 0.000 0.000 14

TABEL DIMENSI BATANGdigunakan baja profil WF150X100

0.001785 0.0000067 21000000 0.001785 0.00000666

TABEL BATANGNo. (i) (j) L (m) α EI

1 1 4 4.95 78 22 2 5 4.85 90 2.253 3 6 5.25 112 24 4 5 3.6 0 1.755 5 6 3.35 0 1.756 4 7 3.6 90 1.57 5 8 3.6 90 1.58 6 9 3.6 90 1.59 7 8 3.6 0 1.25

10 8 9 3.35 0 1.2511 7 10 3.35 90 112 8 11 3.35 90 113 9 12 3.72 73 114 10 11 3.6 0 115 11 12 4.45 0 1

A (m2) I (m4) E (t/m2)

sin α cos α EA/L 2EI/L 4EI/L

0.9781476 0 15145.45 113.0 226.0 68.50 27.681 0 17389.95 129.8 259.5 80.27 33.10

0.9271839 0 14280.00 106.6 213.1 60.89 23.200 1 18221.88 136.0 272.0 113.31 62.950 1 19581.72 146.1 292.2 130.86 78.121 0 15618.75 116.6 233.1 97.13 53.961 0 15618.75 116.6 233.1 97.13 53.961 0 15618.75 116.6 233.1 97.13 53.960 1 13015.63 97.1 194.2 80.94 44.970 1 13986.94 104.4 208.7 93.47 55.801 0 11189.55 83.5 167.0 74.77 44.641 0 11189.55 83.5 167.0 74.77 44.64

0.9563 0.2924 10076.61 75.2 150.4 60.64 32.600 1 10412.50 77.7 155.4 64.75 35.970 1 8423.60 62.9 125.7 42.38 19.05

6EI/L2 12EI/L3

MATRIKS KEKAKUAN LOKAL

= EA/L 0 0 -EA/L 0 0

0 4EI/L 0 2EI/L-EA/L 0 0 EA/L 0 0

0 2EI/L 0 4EI/L

1 2 3 4 5 6

= 15145.45 0.00 0.00 -15145.45 0.00 0.00 10.00 27.68 68.50 0.00 -27.68 68.50 20.00 68.50 226.04 0.00 -68.50 113.02 3

-15145.45 0.00 0.00 15145.45 0.00 0.00 40.00 -27.68 -68.50 0.00 27.68 -68.50 50.00 68.50 113.02 0.00 -68.50 226.04 6

1 2 3 4 5 6

= 17389.95 0.00 0.00 -17389.95 0.00 0.00 10.00 33.10 80.27 0.00 -33.10 80.27 20.00 80.27 259.53 0.00 -80.27 129.77 3

-17389.95 0.00 0.00 17389.95 0.00 0.00 40.00 -33.10 -80.27 0.00 33.10 -80.27 50.00 80.27 129.77 0.00 -80.27 259.53 6

1 2 3 4 5 6

= 14280.00 0.00 0.00 -14280.00 0.00 0.00 10.00 23.20 60.89 0.00 -23.20 60.89 20.00 60.89 213.12 0.00 -60.89 106.56 3

-14280.00 0.00 0.00 14280.00 0.00 0.00 40.00 -23.20 -60.89 0.00 23.20 -60.89 50.00 60.89 106.56 0.00 -60.89 213.12 6

1 2 3 4 5 6

= 18221.88 0.00 0.00 -18221.88 0.00 0.00 10.00 62.95 113.31 0.00 -62.95 113.31 20.00 113.31 271.95 0.00 -113.31 135.98 3

-18221.88 0.00 0.00 18221.88 0.00 0.00 40.00 -62.95 -113.31 0.00 62.95 -113.31 50.00 113.31 135.98 0.00 -113.31 271.95 6

12EI/L3 6EI/L2 -12EI/L3 6EI/L2

6EI/L2 -6EI/L2

-12EI/L3 -6EI/L2 12EI/L3 -6EI/L2

6EI/L2 -6EI/L2

1 2 3 4 5 6

= 19581.72 0.00 0.00 -19581.72 0.00 0.00 10.00 78.12 130.86 0.00 -78.12 130.86 20.00 130.86 292.24 0.00 -130.86 146.12 3

-19581.72 0.00 0.00 19581.72 0.00 0.00 40.00 -78.12 -130.86 0.00 78.12 -130.86 50.00 130.86 146.12 0.00 -130.86 292.24 6

1 2 3 4 5 6

= 15618.75 0.00 0.00 -15618.75 0.00 0.00 10.00 53.96 97.13 0.00 -53.96 97.13 20.00 97.13 233.10 0.00 -97.13 116.55 3

-15618.75 0.00 0.00 15618.75 0.00 0.00 40.00 -53.96 -97.13 0.00 53.96 -97.13 50.00 97.13 116.55 0.00 -97.13 233.10 6

1 2 3 4 5 6

= 15618.75 0.00 0.00 -15618.75 0.00 0.00 10.00 53.96 97.13 0.00 -53.96 97.13 20.00 97.13 233.10 0.00 -97.13 116.55 3

-15618.75 0.00 0.00 15618.75 0.00 0.00 40.00 -53.96 -97.13 0.00 53.96 -97.13 50.00 97.13 116.55 0.00 -97.13 233.10 6

1 2 3 4 5 6

= 15618.75 0.00 0.00 -15618.75 0.00 0.00 10.00 53.96 97.13 0.00 -53.96 97.13 20.00 97.13 233.10 0.00 -97.13 116.55 3

-15618.75 0.00 0.00 15618.75 0.00 0.00 40.00 -53.96 -97.13 0.00 53.96 -97.13 50.00 97.13 116.55 0.00 -97.13 233.10 6

1 2 3 4 5 6

= 13015.63 0.00 0.00 -13015.63 0.00 0.00 10.00 44.97 80.94 0.00 -44.97 80.94 20.00 80.94 194.25 0.00 -80.94 97.12 3

-13015.63 0.00 0.00 13015.63 0.00 0.00 40.00 -44.97 -80.94 0.00 44.97 -80.94 50.00 80.94 97.12 0.00 -80.94 194.25 6

1 2 3 4 5 6

= 13986.94 0.00 0.00 -13986.94 0.00 0.00 10.00 55.80 93.47 0.00 -55.80 93.47 20.00 93.47 208.75 0.00 -93.47 104.37 3

-13986.94 0.00 0.00 13986.94 0.00 0.00 40.00 -55.80 -93.47 0.00 55.80 -93.47 50.00 93.47 104.37 0.00 -93.47 208.75 6

1 2 3 4 5 6

= 11189.55 0.00 0.00 -11189.55 0.00 0.00 10.00 44.64 74.77 0.00 -44.64 74.77 20.00 74.77 167.00 0.00 -74.77 83.50 3

-11189.55 0.00 0.00 11189.55 0.00 0.00 40.00 -44.64 -74.77 0.00 44.64 -74.77 50.00 74.77 83.50 0.00 -74.77 167.00 6

1 2 3 4 5 6

= 11189.55 0.00 0.00 -11189.55 0.00 0.00 10.00 44.64 74.77 0.00 -44.64 74.77 20.00 74.77 167.00 0.00 -74.77 83.50 3

-11189.55 0.00 0.00 11189.55 0.00 0.00 40.00 -44.64 -74.77 0.00 44.64 -74.77 50.00 74.77 83.50 0.00 -74.77 167.00 6

1 2 3 4 5 6

= 10076.61 0.00 0.00 -10076.61 0.00 0.00 10.00 32.60 60.64 0.00 -32.60 60.64 20.00 60.64 150.39 0.00 -60.64 75.19 3

-10076.61 0.00 0.00 10076.61 0.00 0.00 40.00 -32.60 -60.64 0.00 32.60 -60.64 50.00 60.64 75.19 0.00 -60.64 150.39 6

1 2 3 4 5 6

= 10412.50 0.00 0.00 -10412.50 0.00 0.00 10.00 35.97 64.75 0.00 -35.97 64.75 20.00 64.75 155.40 0.00 -64.75 77.70 3

-10412.50 0.00 0.00 10412.50 0.00 0.00 40.00 -35.97 -64.75 0.00 35.97 -64.75 50.00 64.75 77.70 0.00 -64.75 155.40 6

1 2 3 4 5 6

[Sm]10

[Sm]11

[Sm]12

[Sm]13

[Sm]14

= 8423.60 0.00 0.00 -8423.60 0.00 0.00 10.00 19.05 42.38 0.00 -19.05 42.38 20.00 42.38 125.72 0.00 -42.38 0.00 3

-8423.60 0.00 0.00 8423.60 0.00 0.00 40.00 -19.05 -42.38 0.00 19.05 -42.38 50.00 42.38 0.00 0.00 -42.38 125.72 6

MATRIKS KEKAKUAN GLOBAL

= [Tp]

[Tp] = [ T ] [ 0 ][ 0 ] [ T ]

[ T ] = Cos Sin 0-Sin Cos 0

= 0.2079 -0.978148 0 0 0 00.9781476 0.2079 0 0 0 0

0 0 1 0 0 00 0 0 0.2079 -0.978148 00 0 0 0.9781476 0.2079 00 0 0 0 0 1

1 2 3 10 11 12

= 681.18 3074.48 -67.00 -681.18 -3074.48 -67.00 13074.48 14491.95 14.24 -3074.48 -14491.95 14.24 2-67.00 14.24 226.04 67.00 -14.24 113.02 3

-681.18 -3074.48 67.00 681.18 3074.48 67.00 10-3074.48 -14491.95 -14.24 3074.48 14491.95 -14.24 11

-67.00 14.24 113.02 67.00 -14.24 226.04 12

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

[Sm]15

[Ss]S [Tp]T [Sm]S

4 5 6 13 14 15

= 784.82 3608.69 -80.27 -784.82 -3608.69 -80.27 43608.69 17391.38 16.69 -3608.69 -17391.38 16.69 5-80.27 16.69 259.53 80.27 -16.69 129.77 6

-784.82 -3608.69 80.27 784.82 3608.69 80.27 13-3608.69 -17391.38 -16.69 3608.69 17391.38 -16.69 14

-80.27 16.69 129.77 80.27 -16.69 259.53 15

= -0.3746 -0.927184 0 0 0 00.9271839 -0.3746 0 0 0 0

0 0 1 0 0 00 0 0 -0.3746 -0.927184 00 0 0 0.9271839 -0.3746 00 0 0 0 0 1

7 8 9 16 17 18

= 2023.86 -4951.80 -56.46 -2023.86 4951.80 -56.46 7-4951.80 12279.34 -22.81 4951.80 -12279.34 -22.81 8

-56.46 -22.81 213.12 56.46 22.81 106.56 9-2023.86 4951.80 56.46 2023.86 -4951.80 56.46 164951.80 -12279.34 22.81 -4951.80 12279.34 22.81 17-56.46 -22.81 106.56 56.46 22.81 213.12 18

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

10 11 12 13 14 15

= 18221.88 0.00 0.00 -18221.88 0.00 0.00 100.00 62.95 113.31 0.00 -62.95 113.31 110.00 113.31 271.95 0.00 -113.31 135.98 12

-18221.88 0.00 0.00 18221.88 0.00 0.00 130.00 -62.95 -113.31 0.00 62.95 -113.31 140.00 113.31 135.98 0.00 -113.31 271.95 15

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

13 14 15 16 17 18

= 19581.72 0.00 0.00 -19581.72 0.00 0.00 130.00 78.12 130.86 0.00 -78.12 130.86 140.00 130.86 292.24 0.00 -130.86 146.12 15

-19581.72 0.00 0.00 19581.72 0.00 0.00 160.00 -78.12 -130.86 0.00 78.12 -130.86 170.00 130.86 146.12 0.00 -130.86 292.24 18

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

10 11 12 19 20 21

= 53.96 0.00 -97.13 -53.96 0.00 -97.13 100.00 15618.75 0.00 0.00 -15618.75 0.00 11

-97.13 0.00 233.10 97.13 0.00 116.55 12-53.96 0.00 97.13 53.96 0.00 97.13 190.00 -15618.75 0.00 0.00 15618.75 0.00 20

-97.13 0.00 116.55 97.13 0.00 233.10 21

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

13 14 15 22 23 24

= 53.96 0.00 -97.13 -53.96 0.00 -97.13 130.00 15618.75 0.00 0.00 -15618.75 0.00 14

-97.13 0.00 233.10 97.13 0.00 116.55 15

-53.96 0.00 97.13 53.96 0.00 97.13 220.00 -15618.75 0.00 0.00 15618.75 0.00 23

-97.13 0.00 116.55 97.13 0.00 233.10 24

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

16 17 18 25 26 27

= 53.96 0.00 -97.13 -53.96 0.00 -97.13 160.00 15618.75 0.00 0.00 -15618.75 0.00 17

-97.13 0.00 233.10 97.13 0.00 116.55 18-53.96 0.00 97.13 53.96 0.00 97.13 250.00 -15618.75 0.00 0.00 15618.75 0.00 26

-97.13 0.00 116.55 97.13 0.00 233.10 27

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

19 20 21 22 23 24

= 13015.63 0.00 0.00 -13015.63 0.00 0.00 190.00 44.97 80.94 0.00 -44.97 80.94 200.00 80.94 194.25 0.00 -80.94 97.12 21

-13015.63 0.00 0.00 13015.63 0.00 0.00 220.00 -44.97 -80.94 0.00 44.97 -80.94 230.00 80.94 97.12 0.00 -80.94 194.25 24

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

22 23 24 25 26 27

= 13986.94 0.00 0.00 -13986.94 0.00 0.00 220.00 55.80 93.47 0.00 -55.80 93.47 230.00 93.47 208.75 0.00 -93.47 104.37 24

-13986.94 0.00 0.00 13986.94 0.00 0.00 250.00 -55.80 -93.47 0.00 55.80 -93.47 260.00 93.47 104.37 0.00 -93.47 208.75 27

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

19 20 21 28 29 30

= 44.64 0.00 -74.77 -44.64 0.00 -74.77 190.00 11189.55 0.00 0.00 -11189.55 0.00 20

-74.77 0.00 167.00 74.77 0.00 83.50 21-44.64 0.00 74.77 44.64 0.00 74.77 280.00 -11189.55 0.00 0.00 11189.55 0.00 29

-74.77 0.00 83.50 74.77 0.00 167.00 30

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

22 23 24 31 32 33

= 44.64 0.00 -74.77 -44.64 0.00 -74.77 220.00 11189.55 0.00 0.00 -11189.55 0.00 23

-74.77 0.00 167.00 74.77 0.00 83.50 24-44.64 0.00 74.77 44.64 0.00 74.77 310.00 -11189.55 0.00 0.00 11189.55 0.00 32

-74.77 0.00 83.50 74.77 0.00 167.00 33

[Ss]10

[Ss]11

[Ss]12

= 0.2924 -0.956305 0 0 0 00.9563048 0.2924 0 0 0 0

0 0 1 0 0 00 0 0 0.2924 -0.956305 00 0 0 0.9563048 0.2924 00 0 0 0 0 1

25 26 27 34 35 36

= 891.18 2808.27 -57.99 -891.18 -2808.27 -57.99 252808.27 9218.04 17.73 -2808.27 -9218.04 17.73 26-57.99 17.73 150.39 57.99 -17.73 75.19 27

-891.18 -2808.27 57.99 891.18 2808.27 57.99 34-2808.27 -9218.04 -17.73 2808.27 9218.04 -17.73 35

-57.99 17.73 75.19 57.99 -17.73 150.39 36

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

28 29 30 31 32 33

= 10412.50 0.00 0.00 -10412.50 0.00 0.00 280.00 35.97 64.75 0.00 -35.97 64.75 290.00 64.75 155.40 0.00 -64.75 77.70 30

-10412.50 0.00 0.00 10412.50 0.00 0.00 310.00 -35.97 -64.75 0.00 35.97 -64.75 320.00 64.75 77.70 0.00 -64.75 155.40 33

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

31 32 33 34 35 36

= 8423.60 0.00 0.00 -8423.60 0.00 0.00 310.00 19.05 42.38 0.00 -19.05 42.38 320.00 42.38 125.72 0.00 -42.38 0.00 33

[Ss]13

[Ss]14

[Ss]15

-8423.60 0.00 0.00 8423.60 0.00 0.00 340.00 -19.05 -42.38 0.00 19.05 -42.38 350.00 42.38 0.00 0.00 -42.38 125.72 36

1 2 3 4 5 615145.45 0.00 0.00 -15145.45 0.00 0.00 1 0.2079 0.9781476

0.00 27.68 68.50 0.00 -27.68 68.50 2 -0.978148 0.20790.00 68.50 226.04 0.00 -68.50 113.02 3 0 0

-15145.45 0.00 0.00 15145.45 0.00 0.00 4 0 00.00 -27.68 -68.50 0.00 27.68 -68.50 5 0 00.00 68.50 113.02 0.00 -68.50 226.04 6 0 0

1 2 3 4 5 617389.95 0.00 0.00 -17389.95 0.00 0.00 1 0 1

0.00 33.10 80.27 0.00 -33.10 80.27 2 -1 00.00 80.27 259.53 0.00 -80.27 129.77 3 0 0

-17389.95 0.00 0.00 17389.95 0.00 0.00 4 0 00.00 -33.10 -80.27 0.00 33.10 -80.2683 5 0 00.00 80.27 129.77 0.00 -80.27 259.53 6 0 0

1 2 3 4 5 614280.00 0.00 0.00 -14280.00 0.00 0.00 1 -0.3746 0.9271839

0.00 23.20 60.89 0.00 -23.20 60.89 2 -0.927184 -0.37460.00 60.89 213.12 0.00 -60.89 106.56 3 0 0

-14280.00 0.00 0.00 14280.00 0.00 0.00 4 0 00.00 -23.20 -60.89 0.00 23.20 -60.89 5 0 00.00 60.89 106.56 0.00 -60.89 213.12 6 0 0

1 2 3 4 5 618221.88 0.00 0.00 -18221.88 0.00 0.00 1 1 0

0.00 62.95 113.31 0.00 -62.95 113.31 2 0 10.00 113.31 271.95 0.00 -113.31 135.98 3 0 0

-18221.88 0.00 0.00 18221.88 0.00 0.00 4 0 00.00 -62.95 -113.31 0.00 62.95 -113.31 5 0 00.00 113.31 135.98 0.00 -113.31 271.95 6 0 0

1 2 3 4 5 6

19581.72 0.00 0.00 -19581.72 0.00 0.00 1 1 00.00 78.12 130.86 0.00 -78.12 130.86 2 0 10.00 130.86 292.24 0.00 -130.86 146.12 3 0 0

-19581.72 0.00 0.00 19581.72 0.00 0.00 4 0 00.00 -78.12 -130.86 0.00 78.12 -130.86 5 0 00.00 130.86 146.12 0.00 -130.86 292.24 6 0 0

1 2 3 4 5 615618.75 0.00 0.00 -15618.75 0.00 0.00 1 0 1

0.00 53.96 97.13 0.00 -53.96 97.13 2 -1 00.00 97.13 233.10 0.00 -97.13 116.55 3 0 0

-15618.75 0.00 0.00 15618.75 0.00 0.00 4 0 00.00 -53.96 -97.13 0.00 53.96 -97.13 5 0 00.00 97.13 116.55 0.00 -97.13 233.10 6 0 0

1 2 3 4 5 615618.75 0.00 0.00 -15618.75 0.00 0.00 1 0 1

0.00 53.96 97.13 0.00 -53.96 97.13 2 -1 00.00 97.13 233.10 0.00 -97.13 116.55 3 0 0

-15618.75 0.00 0.00 15618.75 0.00 0.00 4 0 00.00 -53.96 -97.13 0.00 53.96 -97.13 5 0 00.00 97.13 116.55 0.00 -97.13 233.10 6 0 0

1 2 3 4 5 615618.75 0.00 0.00 -15618.75 0.00 0.00 1 0 1

0.00 53.96 97.13 0.00 -53.96 97.13 2 -1 00.00 97.13 233.10 0.00 -97.13 116.55 3 0 0

-15618.75 0.00 0.00 15618.75 0.00 0.00 4 0 00.00 -53.96 -97.13 0.00 53.96 -97.13 5 0 00.00 97.13 116.55 0.00 -97.13 233.10 6 0 0

1 2 3 4 5 613015.63 0.00 0.00 -13015.63 0.00 0.00 1 1 0

0.00 44.97 80.94 0.00 -44.97 80.94 2 0 10.00 80.94 194.25 0.00 -80.94 97.12 3 0 0

-13015.63 0.00 0.00 13015.63 0.00 0.00 4 0 00.00 -44.97 -80.94 0.00 44.97 -80.94 5 0 00.00 80.94 97.12 0.00 -80.94 194.25 6 0 0

1 2 3 4 5 613986.94 0.00 0.00 -13986.94 0.00 0.00 1 1 0

0.00 55.80 93.47 0.00 -55.80 93.47 2 0 10.00 93.47 208.75 0.00 -93.47 104.37 3 0 0

-13986.94 0.00 0.00 13986.94 0.00 0.00 4 0 00.00 -55.80 -93.47 0.00 55.80 -93.47 5 0 00.00 93.47 104.37 0.00 -93.47 208.75 6 0 0

1 2 3 4 5 611189.55 0.00 0.00 -11189.55 0.00 0.00 1 0 1

0.00 44.64 74.77 0.00 -44.64 74.77 2 -1 00.00 74.77 167.00 0.00 -74.77 83.50 3 0 0

-11189.55 0.00 0.00 11189.55 0.00 0.00 4 0 00.00 -44.64 -74.77 0.00 44.64 -74.77 5 0 00.00 74.77 83.50 0.00 -74.77 167.00 6 0 0

1 2 3 4 5 611189.55 0.00 0.00 -11189.55 0.00 0.00 1 0 1

0.00 44.64 74.77 0.00 -44.64 74.77 2 -1 00.00 74.77 167.00 0.00 -74.77 83.50 3 0 0

-11189.55 0.00 0.00 11189.55 0.00 0.00 4 0 00.00 -44.64 -74.77 0.00 44.64 -74.77 5 0 00.00 74.77 83.50 0.00 -74.77 167.00 6 0 0

1 2 3 4 5 6

10076.61 0.00 0.00 -10076.61 0.00 0.00 1 0.2924 0.95630480.00 32.60 60.64 0.00 -32.60 60.64 2 -0.956305 0.29240.00 60.64 150.39 0.00 -60.64 75.19 3 0 0

-10076.61 0.00 0.00 10076.61 0.00 0.00 4 0 00.00 -32.60 -60.64 0.00 32.60 -60.64 5 0 00.00 60.64 75.19 0.00 -60.64 150.39 6 0 0

1 2 3 4 5 610412.50 0.00 0.00 -10412.50 0.00 0.00 1 1 0

0.00 35.97 64.75 0.00 -35.97 64.75 2 0 10.00 64.75 155.40 0.00 -64.75 77.70 3 0 0

-10412.50 0.00 0.00 10412.50 0.00 0.00 4 0 00.00 -35.97 -64.75 0.00 35.97 -64.75 5 0 00.00 64.75 77.70 0.00 -64.75 155.40 6 0 0

1 2 3 4 5 68423.60 0.00 0.00 -8423.60 0.00 0.00 1 1 0

0.00 19.05 42.38 0.00 -19.05 42.38 2 0 10.00 42.38 125.72 0.00 -42.38 0.00 3 0 0

-8423.60 0.00 0.00 8423.60 0.00 0.00 4 0 00.00 -19.05 -42.38 0.00 19.05 -42.38 5 0 00.00 42.38 0.00 0.00 -42.38 125.72 6 0 0

0 0 0 00 0 0 01 0 0 00 0.2079 0.9781476 00 -0.978148 0.2079 00 0 0 1

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0 0 0 00 0 0 01 0 0 00 -0.3746 0.9271839 00 -0.927184 -0.3746 00 0 0 1

0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

0 0 0 00 0 0 01 0 0 00 0 1 00 -1 0 00 0 0 1

0 0 0 00 0 0 01 0 0 00 0.2924 0.9563048 00 -0.956305 0.2924 00 0 0 1

0 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 1

1 2 3 4 5 6 7[Ss] = 681.18 3074.48 -67.00 0.00 0.00 0.00 0.00

3074.48 14491.95 14.24 0.00 0.00 0.00 0.00-67.00 14.24 226.04 0.00 0.00 0.00 0.000.00 0.00 0.00 784.82 3608.69 -80.27 0.000.00 0.00 0.00 3608.69 17391.38 16.69 0.000.00 0.00 0.00 -80.27 16.69 259.53 0.000.00 0.00 0.00 0.00 0.00 0.00 2023.860.00 0.00 0.00 0.00 0.00 0.00 -4951.800.00 0.00 0.00 0.00 0.00 0.00 -56.46

-681.18 -3074.48 67.00 0.00 0.00 0.00 0.00-3074.48 -14491.95 -14.24 0.00 0.00 0.00 0.00

-67.00 14.24 113.02 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -784.82 -3608.69 80.27 -2023.860.00 0.00 0.00 -3608.69 -17391.4 -16.69 4951.800.00 0.00 0.00 -80.27 16.69 129.77 -56.460.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7681.18 3074.48 -67.00

3074.48 14491.95 14.24-67.00 14.24 226.04

-681.18 -3074.48 67.00-3074.48 -14491.95 -14.24

-67.00 14.24 113.02

1 2 3 4 5 6 7

784.82 3608.69 -80.273608.69 17391.38 16.69-80.27 16.69 259.53

-784.82 -3608.69 80.27-3608.69 -17391.38 -16.69

-80.27 16.69 129.77

1 2 3 4 5 6 7

2023.86-4951.80

-56.46

-2023.864951.80-56.46

1 2 3 4 5 6 7

8 9 10 11 12 13 14 15 160.00 0.00 -681.18 -3074.48 -67.00 0.00 0.00 0.00 0.000.00 0.00 -3074.48 -14491.95 14.24 0.00 0.00 0.00 0.000.00 0.00 67.00 -14.24 113.02 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -784.82 -3608.69 -80.27 0.000.00 0.00 0.00 0.00 0.00 -3608.69 -17391.38 16.69 0.000.00 0.00 0.00 0.00 0.00 80.27 -16.69 129.77 0.00

-4951.80 -56.46 0.00 0.00 0.00 0.00 0.00 0.00 -2023.8612279.34 -22.81 0.00 0.00 0.00 0.00 0.00 0.00 4951.80

-22.81 213.12 0.00 0.00 0.00 0.00 0.00 0.00 56.460.00 0.00 18957.01 3074.48 -30.13 -18221.88 0.00 0.00 0.000.00 0.00 3074.48 30173.7 99.07 0.00 -62.95 113.31 0.000.00 0.00 -30.13 99.07 731.09 0.00 -113.31 135.98 0.000.00 0.00 -18221.88 0.00 0.00 37857.55 0.00 -97.13 -19581.70.00 0.00 0.00 -62.95 -113.31 0.00 15759.82 17.54 0.000.00 0.00 0.00 113.31 135.98 -97.13 17.54 797.29 0.00

4951.80 56.46 0.00 0.00 0.00 -18796.90 3608.69 80.27 21659.53-12279.3 22.81 0.00 0.00 0.00 3608.69 17313.26 -147.54 -4951.80

-22.81 106.56 0.00 0.00 0.00 80.27 114.17 405.66 -40.670.00 0.00 -53.96 0.00 97.13 0.00 0.00 0.00 0.000.00 0.00 0.00 -15618.8 0.00 0.00 0.00 0.00 0.000.00 0.00 -97.13 0.00 116.55 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -53.96 0.00 97.13 0.000.00 0.00 0.00 0.00 0.00 0.00 -15618.8 0.00 0.000.00 0.00 0.00 0.00 0.00 -97.13 0.00 116.55 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -53.960.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -97.130.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

8 9 10 11 12 13 14 15 16-681.18 -3074.48 -67.00

-3074.48 -14491.95 14.2467.00 -14.24 113.02

681.18 3074.48 67.003074.48 14491.95 -14.24

67.00 -14.24 226.04

8 9 10 11 12 13 14 15 16

-784.82 -3608.69 -80.27-3608.69 -17391.38 16.69

80.27 -16.69 129.77

784.82 3608.69 80.273608.69 17391.38 -16.69

80.27 -16.69 259.53

8 9 10 11 12 13 14 15 16

-4951.80 -56.46 -2023.8612279.34 -22.81 4951.80

-22.81 213.12 56.46

4951.80 56.46 2023.86-12279.34 22.81 -4951.80

-22.81 106.56 56.46

8 9 10 11 12 13 14 15 16

18221.88 0.00 0.00 -18221.88 0.00 0.000.00 62.95 113.31 0.00 -62.95 113.310.00 113.31 271.95 0.00 -113.31 135.98

-18221.88 0.00 0.00 18221.88 0.00 0.000.00 -62.95 -113.31 0.00 62.95 -113.310.00 113.31 135.98 0.00 -113.31 271.95

8 9 10 11 12 13 14 15 16

19581.72 0.00 0.00 -19581.70.00 78.12 130.86 0.000.00 130.86 292.24 0.00

-19581.72 0.00 0.00 19581.720.00 -78.12 -130.86 0.000.00 130.86 146.12 0.00

8 9 10 11 12 13 14 15 16

53.96 0.00 -97.130.00 15618.8 0.00

-97.13 0.00 233.10

-53.96 0.00 97.130.00 -15618.8 0.00

-97.13 0.00 116.55

8 9 10 11 12 13 14 15 16

53.96 0.00 -97.130.00 15618.75 0.00

-97.13 0.00 233.10

-53.96 0.00 97.130.00 -15618.8 0.00

-97.13 0.00 116.55

8 9 10 11 12 13 14 15 16

53.960.00

-97.13

-53.960.00

-97.13

8 9 10 11 12 13 14 15 16

17 18 19 20 21 22 23 24 250.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

4951.80 -56.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00-12279.34 -22.81 0.00 0.00 0.00 0.00 0.00 0.00 0.00

22.81 106.56 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 -53.96 0.00 -97.13 0.00 0.00 0.00 0.000.00 0.00 0.00 -15618.8 0.00 0.00 0.00 0.00 0.000.00 0.00 97.13 0.00 116.55 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -53.96 0.00 -97.13 0.00

-78.12 130.86 0.00 0.00 0.00 0.00 -15618.8 0.00 0.00-130.86 146.12 0.00 0.00 0.00 97.13 0.00 116.55 0.00

-4951.80 -40.67 0.00 0.00 0.00 0.00 0.00 0.00 -53.9627976.21 -108.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00-108.05 738.46 0.00 0.00 0.00 0.00 0.00 0.00 97.13

0.00 0.00 13114.22 0.00 22.35 -13015.6 0.00 0.00 0.000.00 0.00 0.00 26853.27 80.94 0.00 -44.97 80.94 0.000.00 0.00 22.35 80.94 594.35 0.00 -80.94 97.12 0.000.00 0.00 -13015.6 0.00 0.00 27101.17 0.00 22.35 -13986.90.00 0.00 0.00 -44.97 -80.94 0.00 26909.07 12.53 0.000.00 0.00 0.00 80.94 97.12 22.35 12.53 803.09 0.000.00 97.13 0.00 0.00 0.00 -13986.9 0.00 0.00 14932.1

-15618.8 0.00 0.00 0.00 0.00 0.00 -55.80 -93.47 2808.270.00 116.55 0.00 0.00 0.00 0.00 93.47 104.37 39.130.00 0.00 -44.64 0.00 74.77 0.00 0.00 0.00 0.000.00 0.00 0.00 -11189.6 0.00 0.00 0.00 0.00 0.000.00 0.00 -74.77 0.00 83.50 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -44.64 0.00 74.77 0.000.00 0.00 0.00 0.00 0.00 0.00 -11189.6 0.00 0.000.00 0.00 0.00 0.00 0.00 -74.77 0.00 83.50 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -891.180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -2808.270.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -57.99

17 18 19 20 21 22 23 24 25

4951.80 -56.46-12279.34 -22.81

22.81 106.56

-4951.80 56.4612279.34 22.81

22.81 213.12

17 18 19 20 21 22 23 24 25

0.00 0.00-78.12 130.86

-130.86 146.120.00 0.00

78.12 -130.86-130.86 292.24

17 18 19 20 21 22 23 24 25

-53.96 0.00 -97.130.00 -15618.8 0.00

97.13 0.00 116.55

53.96 0.00 97.130.00 15618.75 0.00

97.13 0.00 233.10

17 18 19 20 21 22 23 24 25

-53.96 0.00 -97.130.00 -15618.8 0.00

97.13 0.00 116.55

53.96 0.00 97.130.00 15618.75 0.00

97.13 0.00 233.10

17 18 19 20 21 22 23 24 25

0.00 -97.13 -53.9615618.75 0.00 0.00

0.00 233.10 97.13

0.00 97.13 53.96-15618.8 0.00 0.00

0.00 116.55 97.13

17 18 19 20 21 22 23 24 25

13015.63 0.00 0.00 -13015.6 0.00 0.000.00 44.97 80.94 0.00 -44.97 80.940.00 80.94 194.25 0.00 -80.94 97.12

-13015.6 0.00 0.00 13015.63 0.00 0.000.00 -44.97 -80.94 0.00 44.97 -80.940.00 80.94 97.12 0.00 -80.94 194.25

17 18 19 20 21 22 23 24 25

13986.94 0.00 0.00 -13986.90.00 55.80 93.47 0.000.00 93.47 208.75 0.00

-13986.9 0.00 0.00 13986.90.00 -55.80 -93.47 0.000.00 93.47 104.37 0.00

17 18 19 20 21 22 23 24 25

44.64 0.00 -74.770.00 11189.55 0.00

-74.77 0.00 167.00

-44.64 0.00 74.77

0.00 -11189.6 0.00-74.77 0.00 83.50

17 18 19 20 21 22 23 24 25

44.64 0.00 -74.770.00 11189.55 0.00

-74.77 0.00 167.00

-44.64 0.00 74.770.00 -11189.6 0.00

-74.77 0.00 83.50

17 18 19 20 21 22 23 24 25

891.182808.27-57.99

-891.18-2808.27

-57.99

17 18 19 20 21 22 23 24 25

26 27 28 29 30 31 32 33 340.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -97.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-15618.8 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 116.55 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 -44.64 0.00 -74.77 0.00 0.00 0.00 0.000.00 0.00 0.00 -11189.6 0.00 0.00 0.00 0.00 0.000.00 0.00 74.77 0.00 83.50 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -44.64 0.00 -74.77 0.00

-55.80 93.47 0.00 0.00 0.00 0.00 -11189.6 0.00 0.00-93.47 104.37 0.00 0.00 0.00 74.77 0.00 83.50 0.00

2808.27 39.13 0.00 0.00 0.00 0.00 0.00 0.00 -891.1824892.59 -75.74 0.00 0.00 0.00 0.00 0.00 0.00 -2808.27

-75.74 592.23 0.00 0.00 0.00 0.00 0.00 0.00 57.990.00 0.00 10457.14 0.00 74.77 -10412.5 0.00 0.00 0.000.00 0.00 0.00 11225.52 64.75 0.00 -35.97 64.75 0.000.00 0.00 74.77 64.75 322.40 0.00 -64.75 77.70 0.000.00 0.00 -10412.5 0.00 0.00 18880.74 0.00 74.77 -8423.600.00 0.00 0.00 -35.97 -64.75 0.00 11244.6 -22.37 0.000.00 0.00 0.00 64.75 77.70 74.77 -22.37 448.11 0.00

-2808.27 57.99 0.00 0.00 0.00 -8423.60 0.00 0.00 9314.77-9218.04 -17.73 0.00 0.00 0.00 0.00 -19.05 -42.38 2808.27

17.73 75.19 0.00 0.00 0.00 0.00 42.38 0.00 57.99

26 27 28 29 30 31 32 33 34

0.00 -97.13-15618.8 0.00

0.00 116.55

0.00 97.1315618.75 0.00

0.00 233.10

26 27 28 29 30 31 32 33 34

0.00 0.00-55.80 93.47-93.47 104.370.00 0.00

55.80 -93.47-93.47 208.75

26 27 28 29 30 31 32 33 34

-44.64 0.00 -74.770.00 -11189.6 0.00

74.77 0.00 83.50

44.64 0.00 74.77

0.00 11189.55 0.0074.77 0.00 167.00

26 27 28 29 30 31 32 33 34

-44.64 0.00 -74.770.00 -11189.6 0.00

74.77 0.00 83.50

44.64 0.00 74.770.00 11189.6 0.00

74.77 0.00 167.00

26 27 28 29 30 31 32 33 34

2808.27 -57.99 -891.189218.04 17.73 -2808.27

17.73 150.39 57.99

-2808.27 57.99 891.18-9218.04 -17.73 2808.27

17.73 75.19 57.99

26 27 28 29 30 31 32 33 34

10412.50 0.00 0.00 -10412.5 0.00 0.000.00 35.97 64.75 0.00 -35.97 64.750.00 64.75 155.40 0.00 -64.75 77.70

-10412.5 0.00 0.00 10412.50 0.00 0.000.00 -35.97 -64.75 0.00 35.97 -64.750.00 64.75 77.70 0.00 -64.75 155.40

26 27 28 29 30 31 32 33 34

8423.60 0.00 0.00 -8423.600.00 19.05 42.38 0.000.00 42.38 125.72 0.00

-8423.60 0.00 0.00 8423.600.00 -19.05 -42.38 0.000.00 42.38 0.00 0.00

PENATAAN ULANG

35 360.00 0.00 1 3 9 100.00 0.00 2 [Ss] = 226.04 0.00 67.000.00 0.00 3 0.00 213.12 0.000.00 0.00 4 67.00 0.00 18957.00.00 0.00 5 -14.24 0.00 3074.480.00 0.00 6 113.02 0.00 -30.130.00 0.00 7 0.00 0.00 -18221.90.00 0.00 8 0.00 0.00 0.000.00 0.00 9 0.00 0.00 0.000.00 0.00 10 0.00 56.46 0.000.00 0.00 11 0.00 22.81 0.000.00 0.00 12 0.00 106.56 0.000.00 0.00 13 0.00 0.00 -53.960.00 0.00 14 0.00 0.00 0.000.00 0.00 15 0.00 0.00 -97.130.00 0.00 16 0.00 0.00 0.000.00 0.00 17 0.00 0.00 0.000.00 0.00 18 0.00 0.00 0.000.00 0.00 19 0.00 0.00 0.000.00 0.00 20 0.00 0.00 0.000.00 0.00 21 0.00 0.00 0.000.00 0.00 22 0.00 0.00 0.000.00 0.00 23 0.00 0.00 0.000.00 0.00 24 0.00 0.00 0.00

-2808.27 -57.99 25 0.00 0.00 0.00-9218.04 17.73 26 0.00 0.00 0.00

-17.73 75.19 27 0.00 0.00 0.000.00 0.00 28 0.00 0.00 0.000.00 0.00 29 0.00 0.00 0.000.00 0.00 30 0.00 0.00 0.000.00 0.00 31 -67.00 0.00 -681.18

-19.05 42.38 32 14.24 0.00 -3074.48-42.38 0.00 33 0.00 0.00 0.00

2808.27 57.99 34 0.00 0.00 0.009237.08 -60.11 35 0.00 0.00 0.00-60.11 276.10 36 0.00 -56.46 0.00

0.00 -22.81 0.00

35 36 11234

101112131415161718192021222324252627282930313233343536

35 36 2123456789

12131415161718192021222324252627282930313233343536

35 36 3123456789

101112131415161718

192021222324252627282930313233343536

35 36 4123456789

10111213141516171819202122232425

2627282930313233343536

35 36 5123456789

1011121314151617181920212223242526272829303132

33343536

35 36 6123456789

101112131415161718192021222324252627282930313233343536

35 36 7

123456789

101112131415161718192021222324252627282930313233343536

35 36 81234567

101112131415161718192021222324252627282930313233343536

35 36 9123456789

1011121314

15161718192021222324252627282930313233343536

35 36 10123456789

101112131415161718192021

222324252627282930313233343536

35 36 11123456789

10111213141516171819202122232425262728

2930313233343536

35 36 12123456789

1011121314151617181920212223242526272829303132333435

35 36 13123456789

101112131415161718192021222324

-2808.27 -57.99 25-9218.04 17.73 26

-17.73 75.19 27282930313233

2808.27 57.99 349218.04 -17.73 35-17.73 150.39 36

35 36 14123

456789

101112131415161718192021222324252627282930313233343536

35 36 14123456789

1112131415161718192021222324252627282930

0.00 0.00 31-19.05 42.38 32-42.38 0.00 330.00 0.00 34

19.05 -42.38 35-42.38 125.72 36

11 12 13 14 15 16 17 18 19-14.24 113.02 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 56.46 22.81 106.56 0.00

3074.48 -30.13 -18221.9 0.00 0.00 0.00 0.00 0.00 -53.9630173.7 99.07 0.00 -62.95 113.31 0.00 0.00 0.00 0.00

99.07 731.09 0.00 -113.31 135.98 0.00 0.00 0.00 97.130.00 0.00 37857.5 0.00 -97.13 -19581.7 0.00 0.00 0.00

-62.95 -113.31 0.00 15759.8 17.54 0.00 -78.12 130.86 0.00113.31 135.98 -97.13 17.54 797.29 0.00 -130.86 146.12 0.00

0.00 0.00 -18796.9 3608.69 80.27 21659.53 -4951.80 -40.67 0.000.00 0.00 3608.69 17313.3 -147.54 -4951.80 27976.2 -108.05 0.000.00 0.00 80.27 114.17 405.66 -40.67 -108.0 738.46 0.000.00 97.13 0.00 0.00 0.00 0.00 0.00 0.00 13114.2

-15618.8 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 116.55 0.00 0.00 0.00 0.00 0.00 0.00 22.350.00 0.00 -53.96 0.00 97.13 0.00 0.00 0.00 -13015.60.00 0.00 0.00 -15618.8 0.00 0.00 0.00 0.00 0.000.00 0.00 -97.13 0.00 116.55 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -53.96 0.00 97.13 0.000.00 0.00 0.00 0.00 0.00 0.00 -15618.8 0.00 0.000.00 0.00 0.00 0.00 0.00 -97.13 0.00 116.55 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -44.640.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -74.770.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-3074.48 -67.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-14492.0 14.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 -784.82 -3608.69 -80.27 0.00 0.00 0.00 0.000.00 0.00 -3608.69 -17391.4 16.69 0.00 0.00 0.00 0.000.00 0.00 80.27 -16.69 129.77 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -2023.86 4951.80 -56.46 0.000.00 0.00 0.00 0.00 0.00 4951.80 -12279.3 -22.81 0.00

20 21 22 23 24 25 26 27 280.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -97.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-15618.8 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 116.55 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 -53.96 0.00 -97.13 0.00 0.00 0.00 0.000.00 0.00 0.00 -15618.8 0.00 0.00 0.00 0.00 0.000.00 0.00 97.13 0.00 116.55 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -53.96 0.00 -97.13 0.000.00 0.00 0.00 0.00 0.00 0.00 -15618.8 0.00 0.000.00 0.00 0.00 0.00 0.00 97.13 0.00 116.55 0.000.00 22.35 -13015.6 0.00 0.00 0.00 0.00 0.00 -44.64

26853.3 80.94 0.00 -44.97 80.94 0.00 0.00 0.00 0.0080.94 594.35 0.00 -80.94 97.12 0.00 0.00 0.00 74.770.00 0.00 27101.2 0.00 22.35 -13986.9 0.00 0.00 0.00

-44.97 -80.94 0.00 26909.1 12.53 0.00 -55.80 93.47 0.0080.94 97.12 22.4 12.53 803.09 0.00 -93.47 104.37 0.000.00 0.00 -13986.9 0.00 0.00 14932.1 2808.27 39.13 0.000.00 0.00 0.00 -55.80 -93.47 2808.27 24892.6 -75.74 0.000.00 0.00 0.00 93.47 104.37 39.13 -75.74 592.23 0.000.00 74.77 0.00 0.00 0.00 0.00 0.00 0.00 10457.14

-11189.6 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 83.50 0.00 0.00 0.00 0.00 0.00 0.00 74.770.00 0.00 -44.64 0.00 74.77 0.00 0.00 0.00 -10412.50.00 0.00 0.00 -11189.6 0.00 0.00 0.00 0.00 0.000.00 0.00 -74.77 0.00 83.50 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -891.18 -2808.27 57.99 0.000.00 0.00 0.00 0.00 0.00 -2808.27 -9218.04 -17.73 0.000.00 0.00 0.00 0.00 0.00 -57.99 17.73 75.19 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

29 30 31 32 33 34 35 36 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -67.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -681.180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -3074.480.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -67.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 -74.77 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-11189.6 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 83.50 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 -44.64 0.00 -74.77 0.00 0.00 0.00 0.000.00 0.00 0.00 -11189.6 0.00 0.00 0.00 0.00 0.000.00 0.00 74.77 0.00 83.50 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -891.18 -2808.27 -57.99 0.000.00 0.00 0.00 0.00 0.00 -2808.27 -9218.04 17.73 0.000.00 0.00 0.00 0.00 0.00 57.99 -17.73 75.19 0.000.00 74.77 -10412.5 0.00 0.00 0.00 0.00 0.00 0.00

11225.5 64.75 0.00 -35.97 64.75 0.00 0.00 0.00 0.0064.75 322.40 0.00 -64.75 77.70 0.00 0.00 0.00 0.000.00 0.00 18880.7 0.00 74.77 -8423.60 0.00 0.00 0.00

-35.97 -64.75 0.00 11244.6 -22.37 0.00 -19.05 42.38 0.0064.75 77.70 74.77 -22.37 448.11 0.00 -42.38 0.00 0.000.00 0.00 -8423.60 0.00 0.00 9314.77 2808.27 57.99 0.000.00 0.00 0.00 -19.05 -42.38 2808.27 9237.08 -60.11 0.000.00 0.00 0.00 42.38 0.00 57.99 -60.11 276.10 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 681.180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3074.480.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

2 4 5 6 7 814.24 0.00 0.00 0.00 0.00 0.00 30.00 0.00 0.00 0.00 -56.46 -22.81 9

-3074.48 0.00 0.00 0.00 0.00 0.00 10-14492.0 0.00 0.00 0.00 0.00 0.00 11

14.24 0.00 0.00 0.00 0.00 0.00 120.00 0.00 0.00 0.00 0.00 0.00 130.00 0.00 0.00 0.00 0.00 0.00 140.00 0.00 0.00 0.00 0.00 0.00 150.00 -784.82 -3608.69 80.27 -2023.86 4951.80 160.00 -3608.69 -17391.4 -16.69 4951.80 -12279.3 170.00 -80.27 16.69 129.77 -56.46 -22.81 180.00 0.00 0.00 0.00 0.00 0.00 190.00 0.00 0.00 0.00 0.00 0.00 200.00 0.00 0.00 0.00 0.00 0.00 210.00 0.00 0.00 0.00 0.00 0.00 220.00 0.00 0.00 0.00 0.00 0.00 230.00 0.00 0.00 0.00 0.00 0.00 240.00 0.00 0.00 0.00 0.00 0.00 250.00 0.00 0.00 0.00 0.00 0.00 260.00 0.00 0.00 0.00 0.00 0.00 270.00 0.00 0.00 0.00 0.00 0.00 280.00 0.00 0.00 0.00 0.00 0.00 290.00 0.00 0.00 0.00 0.00 0.00 300.00 0.00 0.00 0.00 0.00 0.00 310.00 0.00 0.00 0.00 0.00 0.00 320.00 0.00 0.00 0.00 0.00 0.00 330.00 0.00 0.00 0.00 0.00 0.00 340.00 0.00 0.00 0.00 0.00 0.00 350.00 0.00 0.00 0.00 0.00 0.00 36

3074.48 0.00 0.00 0.00 0.00 0.00 114491.95 0.00 0.00 0.00 0.00 0.00 2

0.00 784.82 3608.69 -80.27 0.00 0.00 40.00 3608.69 17391.38 16.69 0.00 0.00 50.00 -80.27 16.69 259.53 0.00 0.00 60.00 0.00 0.00 0.00 2023.86 -4951.80 70.00 0.00 0.00 0.00 -4951.80 12279.34 8

PERHITUNGAN BEBAN EKIVALEN

BATANG 4 BATANG 14 BATANG 15P = 1.86 t P = 1.76 t P =L = 3.6 m L = 3.6 m L =

Vertikal Vertikal VertikalPa = -0.930 t Pa = -0.880 t Pa =Pb = -0.930 t Pb = -0.880 t Pb =

Momen Primer Momen Primer Momen PrimerMpa = -0.837 tm Mpa = -0.792 tm Mpa =MPb = 0.837 tm MPb = 0.792 tm MPb =

BATANG 5 BATANG 11 P3 =q = 1.33 t/m q = 1.85 t/mL = 3.35 L = 3.35

Vertikal VertikalPa = -2.228 t Pa = 3.099 tPb = -2.228 t Pb = 3.099 t

Momen Primer Momen PrimerMpa = -1.244 tm Mpa = -1.730 tmMPb = 1.244 tm MPb = 1.730 tm

BATANG 9 BATANG 10q = 1.75 t/m q = 1.75 t/m P = 1.51L = 3.6 m L = 3.35 m

Vertikal VertikalPa = -0.788 t Pa = -2.953 tPb = -2.363 t Pb = -1.488 t

Momen MomenMpa = -0.148 tm Mpa = -0.914 tmMPb = 0.325 tm MPb = 0.760 tm

V = 16.927H = 8.458

BEBAN EKIVALEN PENATAAN ULANG BEBAN EKIVALEN

BATANG 15 Horizontal 0 0.000 1 0.000 0.0001.26 t Vertikal 0 0.000 2 0.000 0.0004.45 m Momen 0 0.000 3 0.000 0.000

0 0.000 4 0.000 -0.930-0.630 t 0 0.000 5 0.000 -0.837-0.630 t 0 0.000 6 0.000 0.000

Momen Primer 0 0.000 7 0.000 -3.158-0.701 tm 0 0.000 8 0.000 -0.4070.701 tm 0 0.000 9 0.000 0.000

0 0.000 10 0.000 -2.2282.26 t 0 -0.930 11 -0.930 1.244

0 -0.837 12 -0.837 0.0000 0.000 13 0.000 -0.589

0 -3.158 14 -3.158 -0.5910 -0.407 15 -0.407 0.0000 0.000 16 0.000 -8.8480 -2.228 17 -2.228 -0.4590 1.244 18 1.244 0.000

3.099 0.000 19 3.099 -1.3050 -0.589 20 -0.589 1.1440 -0.591 21 -0.591 0.000

t 0 0.000 22 0.000 -0.8800 -8.848 23 -8.848 -0.7920 -0.459 24 -0.459 0.0000 0.000 25 0.000 -1.5100 -1.305 26 -1.305 0.0920 1.144 27 1.144 0.000

5.359 0.000 28 5.359 -0.6300 -0.880 29 -0.880 0.7010 -0.792 30 -0.792 0.0000 0.000 31 0.000 0.000

0 -1.510 32 -1.510 0.0000 0.092 33 0.092 0.0000 0.000 34 0.000 0.0000 -0.630 35 -0.630 0.0000 0.701 36 0.701 0.000

V = -20.078 CEK!!H = 0.000 CEK!!

PENATAAN ULANG BEBAN EKIVALEN

1011121314151617181920

2122232425262728293031323334353612

3 9 10 11 12 13

226.04 0.00 67.00 -14.24 113.02 0.00

0.00 213.12 0.00 0.00 0.00 0.00

67.00 0.00 18957.01 3074.48 -30.13 -18221.88

-14.24 0.00 3074.48 30173.66 99.07 0.00

113.02 0.00 -30.13 99.07 731.09 0.00

0.00 0.00 -18221.88 0.00 0.00 37857.55

0.00 0.00 0.00 -62.95 -113.31 0.00

0.00 0.00 0.00 113.31 135.98 -97.13

0.00 56.46 0.00 0.00 0.00 -18796.90

0.00 22.81 0.00 0.00 0.00 3608.69

0.00 106.56 0.00 0.00 0.00 80.27

0.00 0.00 -53.96 0.00 97.13 0.00

0.00 0.00 0.00 -15618.75 0.00 0.00

0.00 0.00 -97.13 0.00 116.55 0.00

0.00 0.00 0.00 0.00 0.00 -53.96

0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 -97.13

0.00 0.00 0.00 0.00 0.00 0.00

3 9 10 11

= 0.00470 0.00035 -0.00014 0.00006-0.00009 0.00540 -0.00005 0.000030.00060 -0.00111 0.00048 -0.00017

-0.00012 0.00024 -0.00010 0.00011-0.00092 -0.00001 -0.00001 0.000000.00062 -0.00111 0.00042 -0.00016-0.00016 0.00021 0.00000 0.000010.00022 -0.00003 0.00003 -0.000030.00063 -0.00112 0.00037 -0.000150.00030 -0.00043 0.00002 -0.00003-0.00022 -0.00073 -0.00009 0.000030.00110 -0.00045 0.00044 -0.00013-0.00012 0.00024 -0.00010 0.000110.00012 -0.00013 0.00003 -0.000020.00110 -0.00045 0.00044 -0.00013-0.00016 0.00021 0.00000 0.00001-0.00006 -0.00015 0.00000 -0.000010.00110 -0.00045 0.00044 -0.000130.00030 -0.00043 0.00002 -0.000030.00005 -0.00005 0.00001 -0.000020.00096 -0.00008 0.00038 -0.00006-0.00012 0.00024 -0.00010 0.00011-0.00003 -0.00004 0.00002 -0.000020.00096 -0.00008 0.00038 -0.00006-0.00016 0.00020 0.00000 0.000010.00008 -0.00010 0.00002 -0.000030.00096 -0.00008 0.00038 -0.000060.00034 -0.00054 0.00004 -0.000060.00009 -0.00018 0.00002 -0.00002

= -0.041 3 rad-0.037 9 rad0.153 10 m-0.033 11 m-0.013 12 rad0.153 13 m-0.033 14 m0.022 15 rad0.153 16 m0.062 17 m-0.021 18 rad0.136 19 m-0.033 20 m0.008 21 rad0.136 22 m-0.033 23 m0.007 24 rad0.136 25 m

0.062 26 m0.024 27 rad0.097 28 m-0.033 29 m0.001 30 rad0.097 31 m-0.033 32 m0.015 33 rad0.097 34 m0.074 35 m0.021 36 rad

PERHITUNGAN REAKSI3 9 10 11

F = -67.00 0.00 -681.18 -3074.4814.24 0.00 -3074.48 -14491.950.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 -56.46 0.00 0.000.00 -22.81 0.00 0.00

F = 12

14 15 16 17 18 19

0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 56.46 22.81 106.56 0.00

0.00 0.00 0.00 0.00 0.00 -53.96

-62.95 113.31 0.00 0.00 0.00 0.00

-113.31 135.98 0.00 0.00 0.00 97.13

0.00 -97.13 -19581.72 0.00 0.00 0.00

15759.82 17.54 0.00 -78.12 130.86 0.00

17.54 797.29 0.00 -130.86 146.12 0.00

3608.69 80.27 21659.53 -4951.80 -40.67 0.00

17313.26 -147.54 -4951.80 27976.21 -108.05 0.00

114.17 405.66 -40.67 -108.05 738.46 0.00

0.00 0.00 0.00 0.00 0.00 13114.22

0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 22.35

0.00 97.13 0.00 0.00 0.00 -13015.63

-15618.75 0.00 0.00 0.00 0.00 0.00

0.00 116.55 0.00 0.00 0.00 0.00

0.00 0.00 -53.96 0.00 97.13 0.00

0.00 0.00 0.00 -15618.75 0.00 0.00

0.00 0.00 -97.13 0.00 116.55 0.00

0.00 0.00 0.00 0.00 0.00 -44.64

0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 -74.77

0.00 0.00 0.00 0.00 0.00 0.00

12 13 14 15 16 17

-0.00046 -0.00012 0.00293 0.00030 -0.00012 -0.000020.00021 -0.00005 0.00252 0.00059 -0.00007 -0.00001-0.00150 0.00042 -0.01076 -0.00055 0.00040 0.00005

0.00031 -0.00009 0.00230 0.00011 -0.00009 -0.000010.00184 -0.00002 0.00081 -0.00025 -0.00002 0.00000-0.00150 0.00042 -0.01076 -0.00056 0.00040 0.000050.00032 0.00000 0.00231 0.00012 0.00001 0.00003-0.00046 0.00003 -0.00159 0.00147 0.00003 0.00001-0.00150 0.00037 -0.01076 -0.00056 0.00040 0.00005-0.00061 0.00002 -0.00440 -0.00022 0.00003 0.000050.00050 -0.00009 0.00160 -0.00084 -0.00009 -0.00001-0.00248 0.00043 -0.00960 -0.00084 0.00042 0.000040.00031 -0.00009 0.00231 0.00011 -0.00009 -0.00001-0.00027 0.00002 -0.00058 0.00014 0.00002 0.00001-0.00247 0.00043 -0.00960 -0.00085 0.00042 0.000040.00032 0.00000 0.00228 0.00012 0.00001 0.000030.00011 0.00000 -0.00057 -0.00027 0.00000 0.00001-0.00247 0.00043 -0.00961 -0.00084 0.00042 0.00004-0.00061 0.00002 -0.00438 -0.00022 0.00003 0.00005-0.00012 0.00001 -0.00159 0.00022 0.00002 0.00001-0.00214 0.00037 -0.00671 -0.00081 0.00036 0.000000.00031 -0.00009 0.00232 0.00011 -0.00009 -0.000010.00003 0.00002 -0.00028 -0.00005 0.00002 0.00001-0.00214 0.00037 -0.00670 -0.00080 0.00036 0.000000.00032 0.00000 0.00227 0.00012 0.00001 0.00003-0.00018 0.00002 -0.00105 0.00002 0.00002 0.00001-0.00214 0.00037 -0.00669 -0.00081 0.00036 0.00000-0.00071 0.00004 -0.00527 -0.00023 0.00005 0.00006-0.00020 0.00001 -0.00140 -0.00012 0.00001 0.00001

12 13 14 15 16 17-67.00 0.00 0.00 0.00 0.00 0.0014.24 0.00 0.00 0.00 0.00 0.000.00 -784.82 -3608.69 -80.27 0.00 0.000.00 -3608.69 -17391.38 16.69 0.00 0.000.00 80.27 -16.69 129.77 0.00 0.000.00 0.00 0.00 0.00 -2023.86 4951.800.00 0.00 0.00 0.00 4951.80 -12279.34

20 21 22 23 24 25

0.00 0.00 0.00 0.00 0.00 0.00

0.00 -97.13 0.00 0.00 0.00 0.00

-15618.75 0.00 0.00 0.00 0.00 0.00

0.00 116.55 0.00 0.00 0.00 0.00

0.00 0.00 -53.96 0.00 -97.13 0.00

0.00 0.00 0.00 -15618.75 0.00 0.00

0.00 0.00 97.13 0.00 116.55 0.00

0.00 0.00 0.00 0.00 0.00 -53.96

0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 97.13

0.00 22.35 -13015.63 0.00 0.00 0.00

26853.27 80.94 0.00 -44.97 80.94 0.00

80.94 594.35 0.00 -80.94 97.12 0.00

0.00 0.00 27101.17 0.00 22.35 -13986.94

-44.97 -80.94 0.00 26909.07 12.53 0.00

80.94 97.12 22.35 12.53 803.09 0.00

0.00 0.00 -13986.94 0.00 0.00 14932.07

0.00 0.00 0.00 -55.80 -93.47 2808.27

0.00 0.00 0.00 93.47 104.37 39.13

0.00 74.77 0.00 0.00 0.00 0.00

-11189.55 0.00 0.00 0.00 0.00 0.00

0.00 83.50 0.00 0.00 0.00 0.00

0.00 0.00 -44.64 0.00 74.77 0.00

0.00 0.00 0.00 -11189.55 0.00 0.00

0.00 0.00 -74.77 0.00 83.50 0.00

0.00 0.00 0.00 0.00 0.00 -891.18

0.00 0.00 0.00 0.00 0.00 -2808.27

0.00 0.00 0.00 0.00 0.00 -57.99

18 19 20 21 22 23

-0.00064 0.00041 0.00007 0.00038 0.00040 0.00290-0.00137 0.00029 0.00004 0.00024 0.00030 0.002500.00200 0.00040 -0.00021 -0.00104 0.00039 -0.01067

-0.00043 -0.00005 0.00011 0.00021 -0.00005 0.002290.00004 -0.00105 0.00000 -0.00012 -0.00104 0.000810.00200 0.00038 -0.00020 -0.00105 0.00038 -0.01068-0.00043 0.00000 0.00002 0.00023 0.00000 0.002290.00004 -0.00079 -0.00004 0.00008 -0.00079 -0.001580.00201 0.00035 -0.00019 -0.00106 0.00034 -0.010670.00083 -0.00001 -0.00005 -0.00043 -0.00001 -0.004360.00151 -0.00077 0.00004 0.00017 -0.00077 0.001590.00067 0.01072 -0.00015 -0.00258 0.01066 -0.00953-0.00043 -0.00004 0.00018 0.00020 -0.00004 0.002300.00024 -0.00166 -0.00004 0.00222 -0.00166 -0.000570.00067 0.01066 -0.00015 -0.00257 0.01068 -0.00953-0.00042 0.00000 0.00002 0.00024 0.00000 0.002330.00031 -0.00095 -0.00002 -0.00008 -0.00095 -0.000570.00066 0.01064 -0.00015 -0.00257 0.01065 -0.009540.00083 -0.00002 -0.00005 -0.00043 -0.00002 -0.004350.00010 -0.00164 -0.00003 0.00027 -0.00164 -0.00159-0.00002 0.01361 -0.00003 -0.00426 0.01359 -0.00667-0.00043 -0.00003 0.00018 0.00020 -0.00003 0.002310.00006 -0.00014 -0.00004 -0.00026 -0.00016 -0.00026-0.00003 0.01361 -0.00003 -0.00425 0.01359 -0.00666-0.00042 0.00000 0.00002 0.00024 0.00000 0.002320.00019 -0.00037 -0.00004 0.00033 -0.00036 -0.00104-0.00003 0.01361 -0.00003 -0.00425 0.01360 -0.006650.00104 -0.00093 -0.00009 0.00009 -0.00093 -0.005230.00036 -0.00038 -0.00004 0.00029 -0.00037 -0.00139

18 19 20 21 22 230.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00

-56.46 0.00 0.00 0.00 0.00 0.00-22.81 0.00 0.00 0.00 0.00 0.00

26 27 28 29 30 31

0.00 0.00 0.00 0.00 0.00 0.00

0.00 -97.13 0.00 0.00 0.00 0.00

-15618.75 0.00 0.00 0.00 0.00 0.00

0.00 116.55 0.00 0.00 0.00 0.00

0.00 0.00 -44.64 0.00 -74.77 0.00

0.00 0.00 0.00 -11189.55 0.00 0.00

0.00 0.00 74.77 0.00 83.50 0.00

0.00 0.00 0.00 0.00 0.00 -44.64

-55.80 93.47 0.00 0.00 0.00 0.00

-93.47 104.37 0.00 0.00 0.00 74.77

2808.27 39.13 0.00 0.00 0.00 0.00

24892.59 -75.74 0.00 0.00 0.00 0.00

-75.74 592.23 0.00 0.00 0.00 0.00

0.00 0.00 10457.14 0.00 74.77 -10412.50

0.00 0.00 0.00 11225.52 64.75 0.00

0.00 0.00 74.77 64.75 322.40 0.00

0.00 0.00 -10412.50 0.00 0.00 18880.74

0.00 0.00 0.00 -35.97 -64.75 0.00

0.00 0.00 0.00 64.75 77.70 74.77

-2808.27 57.99 0.00 0.00 0.00 -8423.60

-9218.04 -17.73 0.00 0.00 0.00 0.00

17.73 75.19 0.00 0.00 0.00 0.00

24 25 26 27 28 29

-0.00015 0.00041 -0.00001 -0.00032 0.00004 0.00008-0.00017 0.00030 0.00000 -0.00009 -0.00002 0.000040.00019 0.00038 0.00001 0.00099 0.00185 -0.00023

-0.00005 -0.00005 0.00000 -0.00022 -0.00032 0.000120.00017 -0.00104 0.00001 0.00003 -0.00122 0.000000.00019 0.00036 0.00001 0.00099 0.00184 -0.00022-0.00003 0.00000 0.00004 -0.00020 -0.00034 0.00003-0.00015 -0.00079 0.00001 0.00038 -0.00074 -0.000040.00018 0.00033 0.00001 0.00099 0.00182 -0.000210.00007 -0.00001 0.00003 0.00041 0.00060 -0.000060.00023 -0.00078 0.00000 -0.00044 -0.00105 0.00004-0.00087 0.01062 -0.00002 -0.00067 0.01493 -0.00016-0.00006 -0.00003 0.00000 -0.00022 -0.00027 0.000180.00000 -0.00166 0.00001 0.00046 -0.00355 -0.00004-0.00087 0.01065 -0.00002 -0.00067 0.01492 -0.00016-0.00003 0.00000 0.00004 -0.00021 -0.00035 0.000030.00154 -0.00095 0.00001 -0.00002 -0.00203 -0.00003-0.00087 0.01069 -0.00002 -0.00067 0.01491 -0.000160.00008 -0.00003 0.00010 0.00042 0.00055 -0.00006-0.00004 -0.00165 0.00002 0.00235 -0.00291 -0.00004-0.00210 0.01357 -0.00007 -0.00241 0.03379 -0.00001-0.00006 -0.00003 0.00000 -0.00023 -0.00024 0.000270.00031 -0.00016 0.00001 0.00020 -0.00282 -0.00006-0.00210 0.01357 -0.00007 -0.00241 0.03373 -0.00001-0.00003 0.00000 0.00004 -0.00021 -0.00036 0.00003-0.00008 -0.00037 0.00002 0.00037 -0.00275 -0.00006-0.00210 0.01358 -0.00007 -0.00242 0.03371 -0.000010.00046 -0.00091 0.00011 0.00096 -0.00521 -0.000110.00037 -0.00035 0.00002 -0.00006 -0.00427 -0.00005

24 25 26 27 28 290.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00

32 33 34 35 36

0.00 0.00 0.00 0.00 0.00 3

0.00 0.00 0.00 0.00 0.00 9

0.00 0.00 0.00 0.00 0.00 10

0.00 0.00 0.00 0.00 0.00 11

0.00 0.00 0.00 0.00 0.00 12

0.00 0.00 0.00 0.00 0.00 13

0.00 0.00 0.00 0.00 0.00 14

0.00 0.00 0.00 0.00 0.00 15

0.00 0.00 0.00 0.00 0.00 16

0.00 0.00 0.00 0.00 0.00 17

0.00 0.00 0.00 0.00 0.00 18

0.00 0.00 0.00 0.00 0.00 19

0.00 0.00 0.00 0.00 0.00 20

0.00 0.00 0.00 0.00 0.00 21

0.00 -74.77 0.00 0.00 0.00 22

-11189.55 0.00 0.00 0.00 0.00 23

0.00 83.50 0.00 0.00 0.00 24

0.00 0.00 -891.18 -2808.27 -57.99 25

0.00 0.00 -2808.27 -9218.04 17.73 26

0.00 0.00 57.99 -17.73 75.19 27

0.00 0.00 0.00 0.00 0.00 28

-35.97 64.75 0.00 0.00 0.00 29

-64.75 77.70 0.00 0.00 0.00 30

0.00 74.77 -8423.60 0.00 0.00 31

11244.57 -22.37 0.00 -19.05 42.38 32

-22.37 448.11 0.00 -42.38 0.00 33

0.00 0.00 9314.77 2808.27 57.99 34

-19.05 -42.38 2808.27 9237.08 -60.11 35

42.38 0.00 57.99 -60.11 276.10 36

30 31 32 33 34 35

0.00052 0.00005 0.00289 0.00014 0.00005 0.000110.00047 -0.00002 0.00249 0.00013 -0.00001 0.00010-0.00205 0.00183 -0.01064 -0.00046 0.00182 -0.00044

0.00042 -0.00032 0.00228 0.00009 -0.00032 0.000080.00023 -0.00122 0.00080 0.00000 -0.00122 0.00006-0.00205 0.00183 -0.01064 -0.00046 0.00181 -0.000440.00045 -0.00034 0.00228 0.00011 -0.00034 0.00014-0.00034 -0.00075 -0.00157 0.00001 -0.00075 -0.00001-0.00205 0.00180 -0.01064 -0.00047 0.00179 -0.00045-0.00084 0.00059 -0.00435 -0.00019 0.00058 -0.000160.00032 -0.00105 0.00159 0.00003 -0.00104 0.00008-0.00200 0.01492 -0.00950 -0.00078 0.01491 -0.001340.00041 -0.00027 0.00229 0.00007 -0.00026 0.00007-0.00034 -0.00355 -0.00057 0.00041 -0.00355 0.00059-0.00201 0.01491 -0.00950 -0.00077 0.01490 -0.001330.00045 -0.00035 0.00232 0.00011 -0.00034 0.000140.00020 -0.00204 -0.00057 -0.00013 -0.00204 0.00034-0.00202 0.01489 -0.00951 -0.00077 0.01488 -0.00131-0.00084 0.00054 -0.00433 -0.00018 0.00054 -0.00008-0.00013 -0.00292 -0.00158 0.00021 -0.00293 0.00041-0.00415 0.03372 -0.00666 -0.00317 0.03370 -0.006240.00039 -0.00024 0.00230 0.00006 -0.00023 0.000060.00380 -0.00280 -0.00024 -0.00020 -0.00280 0.00082-0.00414 0.03376 -0.00666 -0.00318 0.03373 -0.006250.00047 -0.00036 0.00240 0.00011 -0.00036 0.00015-0.00039 -0.00276 -0.00103 0.00274 -0.00276 0.00076-0.00413 0.03374 -0.00665 -0.00318 0.03383 -0.00628-0.00019 -0.00523 -0.00521 0.00057 -0.00527 0.001550.00042 -0.00428 -0.00140 0.00057 -0.00431 0.00125

30 31 32 33 34 350.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00

= AFc3

-0.00026 3 0.000 3-0.00027 9 0.000 90.00097 10 0.000 10

-0.00022 11 -0.930 11-0.00008 12 -0.837 120.00096 13 0.000 13-0.00020 14 -3.158 140.00013 15 -0.407 150.00096 16 0.000 160.00039 17 -2.228 17-0.00005 18 1.244 180.00045 19 0.000 19-0.00023 20 -0.589 200.00049 21 -0.591 210.00046 22 0.000 22-0.00020 23 -8.848 230.00039 24 -0.459 240.00048 25 0.000 250.00041 26 -1.305 26-0.00004 27 1.144 27-0.00390 28 0.000 28-0.00024 29 -0.880 290.00071 30 -0.792 30-0.00391 31 0.000 31-0.00021 32 -1.510 320.00072 33 0.092 33-0.00394 34 0.000 340.00178 35 -0.630 350.00495 36 0.701 36

360.00 1 -0.041 3 = 0.5560.00 2 -0.037 9 5.7500.00 4 0.153 10 -2.9680.00 5 -0.033 11 21.1600.00 6 -0.013 12 15.6960.00 7 0.153 13 2.4120.00 8 -0.033 14 -6.833

0.022 15

0.153 16

0.062 17-0.021 180.136 19-0.033 200.008 210.136 22-0.033 230.007 240.136 250.062 260.024 270.097 28-0.033 290.001 300.097 31-0.033 320.015 330.097 340.074 350.021 36

1 HA H 0.0002 VA V 20.0774 HB M5 VB6 MB7 HC8 VC

PERHITUNGAN GAYA-GAYA DALAM AKHIR BATANG (pada sumbu batang)

= 0 1 15145.45 0.00 0 -15145.450 2 0.00 27.68 68 0.000 3 0.00 68.50 226 0.000 4 -15145.45 0.00 0 15145.450 5 0.00 -27.68 -68 0.000 6 0.00 68.50 113 0.00

= 0 1 17389.95 0.00 0 -17389.950 2 0.00 33.10 80 0.000 3 0.00 80.27 260 0.000 4 -17389.95 0.00 0 17389.950 5 0.00 -33.10 -80 0.000 6 0.00 80.27 130 0.00

= 0 1 14280.00 0.00 0 -14280.000 2 0.00 23.20 61 0.000 3 0.00 60.89 213 0.000 4 -14280.00 0.00 0 14280.000 5 0.00 -23.20 -61 0.000 6 0.00 60.89 107 0.00

= 0 1 18221.88 0.00 0 -18221.880.93 2 0.00 62.95 113 0.00

0.837 3 0.00 113.31 272 0.000 4 -18221.88 0.00 0 18221.88

0.93 5 0.00 -62.95 -113 0.00-0.837 6 0.00 113.31 136 0.00

= 0 1 19581.72 0.00 0 -19581.722.22775 2 0.00 78.12 131 0.00

1.24382708 3 0.00 130.86 292 0.000 4 -19581.72 0.00 0 19581.72

2.22775 5 0.00 -78.12 -131 0.00-1.2438271 6 0.00 130.86 146 0.00

= 0 1 15618.75 0.00 0 -15618.750 2 0.00 53.96 97 0.000 3 0.00 97.13 233 0.000 4 -15618.75 0.00 0 15618.750 5 0.00 -53.96 -97 0.000 6 0.00 97.13 117 0.00

{ FmA }1

{ FmA }2

{ FmA }3

{ FmA }4

{ FmA }5

{ FmA }6

= 0 1 15618.75 0.00 0 -15618.750 2 0.00 53.96 97 0.000 3 0.00 97.13 233 0.000 4 -15618.75 0.00 0 15618.750 5 0.00 -53.96 -97 0.000 6 0.00 97.13 117 0.00

= 0 1 13015.63 0.00 0 -13015.630.7875 2 0.00 44.97 81 0.00

0.14765625 3 0.00 80.94 194 0.000 4 -13015.63 0.00 0 13015.63

2.3625 5 0.00 -44.97 -81 0.00-0.3248438 6 0.00 80.94 97 0.00

= 0 1 13986.94 0.00 0 -13986.942.9534375 2 0.00 55.80 93 0.00

0.91360563 3 0.00 93.47 209 0.000 4 -13986.94 0.00 0 13986.94

1.4878125 5 0.00 -55.80 -93 0.00-0.760173 6 0.00 93.47 104 0.00

= -3.09875 1 11189.55 0.00 0 -11189.550 2 0.00 44.64 75 0.00

1.73013542 3 0.00 74.77 167 0.00-3.09875 4 -11189.55 0.00 0 11189.55

0 5 0.00 -44.64 -75 0.00-1.7301354 6 0.00 74.77 83 0.00

= 0 1 11189.55 0.00 0 -11189.550 2 0.00 44.64 75 0.000 3 0.00 74.77 167 0.000 4 -11189.55 0.00 0 11189.550 5 0.00 -44.64 -75 0.000 6 0.00 74.77 83 0.00

= 0 1 10076.61 0.00 0 -10076.610 2 0.00 32.60 61 0.000 3 0.00 60.64 150 0.00

{ FmA }7

{ FmA }8

{ FmA }9

{ FmA }10

{ FmA }11

{ FmA }12

{ FmA }13

0 4 -10076.61 0.00 0 10076.610 5 0.00 -32.60 -61 0.000 6 0.00 60.64 75 0.00

= 0 1 10412.50 0.00 0 -10412.500.88 2 0.00 35.97 65 0.00

0.792 3 0.00 64.75 155 0.000 4 -10412.50 0.00 0 10412.50

0.88 5 0.00 -35.97 -65 0.00-0.792 6 0.00 64.75 78 0.00

= 0 1 0.00 0.00 0 0.000.63 2 1.00 2.00 3 4.00

0.700875 3 8423.60 0.00 0 -8423.600 4 0.00 19.05 42 0.00

0.63 5 0.00 42.38 126 0.00-0.700875 6 -8423.60 0.00 0 8423.60

PERHITUNGAN GAYA-GAYA DALAM AKHIR BATANG (pada sumbu struktur)

= 0.2079 -0.9781 0 0 0 00.9781 0.2079 0 0 0 0

0 0 1 0 0 00 0 0 0.2079 -0.9781 00 0 0 0.9781 0.2079 00 0 0 0 0 1

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

{ FmA }14

{ FmA }15

{ FsA }1

{ FsA }2

= -0.3746 -0.9272 0 0 0 00.9272 -0.3746 0 0 0 0

0 0 1 0 0 00 0 0 -0.3746 -0.9272 00 0 0 0.9272 -0.3746 00 0 0 0 0 1

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

= 1 0 0 0 0 00 1 0 0 0 0

{ FsA }3

{ FsA }4

{ FsA }5

{ FsA }6

{ FsA }7

{ FsA }8

{ FsA }9

0 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

= 0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

= 0.2924 -0.9563 0 0 0 00.9563 0.2924 0 0 0 0

0 0 1 0 0 00 0 0 0.2924 -0.9563 00 0 0 0.9563 0.2924 00 0 0 0 0 1

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

= 1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 0

{ FsA }10

{ FsA }11

{ FsA }12

{ FsA }13

{ FsA }14

0 0 0 0 0 1

0.00 0 1 0.2079 0.9781 0 0 0-27.68 68 2 -0.9781 0.2079 0 0 0-68.50 113 3 0 0 1 0 00.00 0 4 0 0 0 0.2079 0.9781

27.68 -68 5 0 0 0 -0.9781 0.2079-68.50 226 6 0 0 0 0 0

0.00 0 1 0 1 0 0 0-33.10 80 2 -1 0 0 0 0-80.27 130 3 0 0 1 0 00.00 0 4 0 0 0 0 1

33.10 -80 5 0 0 0 -1 0-80.27 260 6 0 0 0 0 0

0.00 0 1 -0.3746 0.9272 0 0 0-23.20 61 2 -0.9272 -0.3746 0 0 0-60.89 107 3 0 0 1 0 00.00 0 4 0 0 0 -0.3746 0.9272

23.20 -61 5 0 0 0 -0.9272 -0.3746-60.89 213 6 0 0 0 0 0

0.00 0 1 1 0 0 0 0-62.95 113 2 0 1 0 0 0

-113.31 136 3 0 0 1 0 00.00 0 4 0 0 0 1 0

62.95 -113 5 0 0 0 0 1-113.31 272 6 0 0 0 0 0

0.00 0 1 1 0 0 0 0-78.12 131 2 0 1 0 0 0

-130.86 146 3 0 0 1 0 00.00 0 4 0 0 0 1 0

78.12 -131 5 0 0 0 0 1-130.86 292 6 0 0 0 0 0

0.00 0 1 0 1 0 0 0-53.96 97 2 -1 0 0 0 0-97.13 117 3 0 0 1 0 00.00 0 4 0 0 0 0 1

53.96 -97 5 0 0 0 -1 0-97.13 233 6 0 0 0 0 0

0.00 0 1 0 1 0 0 0-53.96 97 2 -1 0 0 0 0-97.13 117 3 0 0 1 0 00.00 0 4 0 0 0 0 1

53.96 -97 5 0 0 0 -1 0-97.13 233 6 0 0 0 0 0

0.00 0 1 0 1 0 0 0-53.96 97 2 -1 0 0 0 0-97.13 117 3 0 0 1 0 00.00 0 4 0 0 0 0 1

53.96 -97 5 0 0 0 -1 0-97.13 233 6 0 0 0 0 0

0.00 0 1 1 0 0 0 0-44.97 81 2 0 1 0 0 0-80.94 97 3 0 0 1 0 00.00 0 4 0 0 0 1 0

44.97 -81 5 0 0 0 0 1-80.94 194 6 0 0 0 0 0

0.00 0 1 1 0 0 0 0-55.80 93 2 0 1 0 0 0-93.47 104 3 0 0 1 0 00.00 0 4 0 0 0 1 0

55.80 -93 5 0 0 0 0 1-93.47 209 6 0 0 0 0 0

0.00 0 1 0 1 0 0 0-44.64 75 2 -1 0 0 0 0-74.77 83 3 0 0 1 0 00.00 0 4 0 0 0 0 1

44.64 -75 5 0 0 0 -1 0-74.77 167 6 0 0 0 0 0

0.00 0 1 0 1 0 0 0-44.64 75 2 -1 0 0 0 0-74.77 83 3 0 0 1 0 00.00 0 4 0 0 0 0 1

44.64 -75 5 0 0 0 -1 0-74.77 167 6 0 0 0 0 0

0.00 0 1 0.2924 0.9563 0 0 0-32.60 61 2 -0.9563 0.2924 0 0 0-60.64 75 3 0 0 1 0 0

0.00 0 4 0 0 0 0.2924 0.956332.60 -61 5 0 0 0 -0.9563 0.2924-60.64 150 6 0 0 0 0 0

0.00 0 1 1 0 0 0 0-35.97 65 2 0 1 0 0 0-64.75 78 3 0 0 1 0 00.00 0 4 0 0 0 1 0

35.97 -65 5 0 0 0 0 1-64.75 155 6 0 0 0 0 0

0.00 0 1 0 0 0 0 05.00 6 2 0 0 0 0 00.00 0 3 0 0 0 0 0

-19.05 42 4 0 0 0 0 0-42.38 0 5 0 0 0 0 00.00 0 6 0 0 0 0 0

#N/A 1 = #N/A 1#N/A 2 #N/A 2#N/A 3 #N/A 3#N/A 4 #N/A 10#N/A 5 #N/A 11 12 #N/A#N/A 6 #N/A 12 15 #N/A

18 #N/A#N/A 1 = #N/A 4 21 #N/A#N/A 2 #N/A 5 24 #N/A#N/A 3 #N/A 6 27 #N/A#N/A 4 #N/A 13 30 #N/A#N/A 5 #N/A 14 33 #N/A#N/A 6 #N/A 15 36 #N/A

#N/A 1 = #N/A 7#N/A 2 #N/A 8#N/A 3 #N/A 9#N/A 4 #N/A 16#N/A 5 #N/A 17#N/A 6 #N/A 18

#N/A 1 = #N/A 19#N/A 2 #N/A 20

#N/A 3 #N/A 21#N/A 4 #N/A 22#N/A 5 #N/A 23#N/A 6 #N/A 24

#N/A 1 = #N/A 31#N/A 2 #N/A 32#N/A 3 #N/A 33#N/A 4 #N/A 34#N/A 5 #N/A 35

#N/A 6 #N/A 36

0 0 1 = #N/A 10 0 2 #N/A 20 #N/A 3 #N/A 30 #N/A 10 #N/A 40 #N/A 11 #N/A 51 #N/A 12 #N/A 6

0 0 4 = #N/A 10 0 5 #N/A 20 0 6 #N/A 30 #N/A 13 #N/A 40 #N/A 14 #N/A 51 #N/A 15 #N/A 6

0 0 7 = #N/A 10 0 8 #N/A 20 #N/A 9 #N/A 30 #N/A 16 #N/A 40 #N/A 17 #N/A 51 #N/A 18 #N/A 6

0 #N/A 10 = #N/A 10 #N/A 11 #N/A 20 #N/A 12 #N/A 30 #N/A 13 #N/A 40 #N/A 14 #N/A 51 #N/A 15 #N/A 6

0 #N/A 25 = #N/A 10 #N/A 26 #N/A 20 #N/A 27 #N/A 3

0 #N/A 34 #N/A 40 #N/A 35 #N/A 51 #N/A 36 #N/A 6

DATA STRUKTUR

A = 6.35E-03 E = 2E+07

Ix = 4.72E-04 G = 8E+06

Iy = 1.60E-05

No. (i) (j) L (m) α

1 1 3 4 0

2 2 3 3 90

3 3 4 4 90

4 3 6 3.5 0

5 5 6 3 90

6 6 7 3 90

MATRIKS KEKAKUAN BATANG LOKAL

G.Ix/L 0 0 -G.Ix/L 0 0

0 4.E.Iy/L 0 2.E.Iy/L

= 0 12.E.Iy 0 -12.E.Iy-G.Ix/L 0 0 G.Ix/L 0 0

0 2.E.Iy/L 0 4.E.Iy/L

0 -12.E.Iy 0 12.E.Iy

991.20 0 0 -991.20 0 0 10 336.00 -126.00 0 168.00 126.00 2

= 0 -126.00 63.00 0 -126.00 -63.00 3-991.20 0 0 991.20 0 0 4

0 168.00 -126.00 0 336.00 126.00 50 126.00 -63.00 0 126.00 63.00 61 2 3 4 5 6

1321.60 0 0 -1321.60 0 0 10 448.00 -224.00 0 224.00 224.00 2

= 0 -224.00 149.33 0 -224.00 -149.33 3-1321.60 0 0 1321.60 0 0 4

0 224.00 -224.00 0 448.00 224.00 50 224.00 -149.33 0 224.00 149.33 61 2 3 4 5 6

991.20 0 0 -991.20 0 0 10 336.00 -126.00 0 168.00 126.00 2

= 0 -126.00 63.00 0 -126.00 -63.00 3-991.20 0 0 991.20 0 0 4

0 168.00 -126.00 0 336.00 126.00 5

-6.E.Iy/L2 6.E.Iy/L2

[Sm]S -6.E.Iy/L2 -6.E.Iy/L2

-6.E.Iy/L2 6.E.Iy/L2

6.E.Iy/L2 6.E.Iy/L2

0 126.00 -63.00 0 126.00 63.00 61 2 3 4 5 6

1132.80 0 0 -1132.80 0 0 10 384.00 -164.57 0 192.00 164.57 2

= 0 -164.57 94.04 0 -164.57 -94.04 3-1132.80 0 0 1132.80 0 0 4

0 192.00 -164.57 0 384.00 164.57 50 164.57 -94.04 0 164.57 94.04 61 2 3 4 5 6

1321.60 0 0 -1321.60 0 0 10 448.00 -224.00 0 224.00 224.00 2

= 0 -224.00 149.33 0 -224.00 -149.33 3-1321.60 0 0 1321.60 0 0 4

0 224.00 -224.00 0 448.00 224.00 50 224.00 -149.33 0 224.00 149.33 61 2 3 4 5 6

1321.60 0 0 -1321.60 0 0 10 448.00 -224.00 0 224.00 224.00 2

= 0 -224.00 149.33 0 -224.00 -149.33 3-1321.60 0 0 1321.60 0 0 4

0 224.00 -224.00 0 448.00 224.00 50 224.00 -149.33 0 224.00 149.33 61 2 3 4 5 6

Cos α Sin α G.Ix / L

63.53 4720 1600 1 0 991.200

0 1 1321.600

0 1 991.200

1 0 1132.800

0 1 1321.600

MATRIKS KEKAKUAN BATANG GLOBAL

= [Tp]

991.20 0 0 -991.200 336.00 -126.00 0

= 0 -126.00 63.00 0-991.20 0 0 991.20

0 168.00 -126.00 00 126.00 -63.00 01 2 3 7

448.00 0 -224 224.000 1321.60 0 0

= -224 0 149.33 -224224.00 0 -224 448.00

0 -1321.60 0 0224 0 -149.33 224

4 5 6 7

336.00 0 -126 168.000 991.20 0 0

= -126 0 63.00 -126168.00 0 -126 336.00

0 -991.20 0 0

[Ss]S [Tp]T [Sm]S

126 0 -63.00 1267 8 9 10

1132.80 0 0 -1132.800 384.00 -164.57 0

= 0 -164.57 94.04 0-1132.80 0 0 1132.80

0 192.00 -164.57 00 164.57 -94.04 07 8 9 16

448.00 0 -224 224.000 1321.60 0 0

= -224 0 149.33 -224224.00 0 -224 448.00

0 -1321.60 0 0224 0 -149.33 22413 14 15 16

448.00 0 -224 224.000 1321.60 0 0

= -224 0 149.33 -224224.00 0 -224 448.00

0 -1321.60 0 0224 0 -149.33 22416 17 18 19

4.E.Iy / L 2.E.Iy / L

63.000 126.000 336.000 168.000

149.333 224.000 448.000 224.000

63.000 126.000 336.000 168.000

94.041 164.571 384.000 192.000

149.333 224.000 448.000 224.000

0 0 1 1 0 0 0 0 0168.00 126.00 2 0 1 0 0 0 0

-126.00 -63.00 3 0 0 1 0 0 00 0 7 0 0 0 1 0 0

336.00 126.00 8 0 0 0 0 1 0126.00 63.00 9 0 0 0 0 0 1

0 224 4 0 -1 0 0 0 0-1321.60 0.00 5 1 0 0 0 0 0

0 -149.33 6 0 0 1 0 0 00 224 7 0 0 0 0 -1 0

1321.60 0.00 8 0 0 0 1 0 00 149.33 9 0 0 0 0 0 18 9

0 126 7 0 -1 0 0 0 0-991.20 0.00 8 1 0 0 0 0 0

0 -63.00 9 0 0 1 0 0 00 126 10 0 0 0 0 -1 0

991.20 0.00 11 0 0 0 1 0 0

12.E.Iy / L3 6.E.Iy / L2

0 63.00 12 0 0 0 0 0 111 12

0 0 7 1 0 0 0 0 0192.00 164.57 8 0 1 0 0 0 0

-164.57 -94.04 9 0 0 1 0 0 00 0 16 0 0 0 1 0 0

384.00 164.57 17 0 0 0 0 1 0164.57 94.04 18 0 0 0 0 0 1

0 224 13 0 -1 0 0 0 0-1321.60 0.00 14 1 0 0 0 0 0

0 -149.33 15 0 0 1 0 0 00 224 16 0 0 0 0 -1 0

1321.60 0.00 17 0 0 0 1 0 00 149.33 18 0 0 0 0 0 1

0 224 16 0 -1 0 0 0 0-1321.60 0.00 17 1 0 0 0 0 0

0 -149.33 18 0 0 1 0 0 00 224 19 0 0 0 0 -1 0

1321.60 0.00 20 0 0 0 1 0 00 149.33 21 0 0 0 0 0 1

0 1 0 0 0 0-1 0 0 0 0 0

0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 1 0 0 0 0-1 0 0 0 0 0

0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 0

0 0 0 0 0 1

0 1 0 0 0 0-1 0 0 0 0 0

0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 1 0 0 0 0-1 0 0 0 0 0

0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

1 2 3 4 5 6 7 8[Ss] = 991.20 0.00 0.00 0.00 0.00 0.00 -991.20 0.00

0.00 336.00 -126.00 0.00 0.00 0.00 0.00 168.000.00 -126.00 63.00 0.00 0.00 0.00 0.00 -126.000.00 0.00 0.00 448.00 0.00 -224.00 224.00 0.000.00 0.00 0.00 0.00 1321.60 0.00 0.00 -1321.600.00 0.00 0.00 -224.00 0.00 149.33 -224.00 0.00

-991.20 0.00 0.00 224.00 0.00 -224.00 2908.00 0.000.00 168.00 -126.00 0.00 -1321.60 0.00 0.00 3032.800.00 126.00 -63.00 224.00 0.00 -149.33 98.00 -38.570.00 0.00 0.00 0.00 0.00 0.00 168.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -991.200.00 0.00 0.00 0.00 0.00 0.00 126.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 -1132.80 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 192.000.00 0.00 0.00 0.00 0.00 0.00 0.00 164.570.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7 8991.2 0 0 -991.2 0

0 336 -126 0 1680 -126 63 0 -126

-991.2 0 0 991.2 00 168 -126 0 3360 126 -63 0 126

1 2 3 4 5 6 7 8

448 0 -224 224 00 1322 0 0 -1322

-224 0 149 -224 0224 0 -224 448 0

0 -1322 0 0 1322224 0 -149 224 0

1 2 3 4 5 6 7 8

336 00 991

-126 0168 0

0 -991126 0

1 2 3 4 5 6 7 8

1132.80 0.000.00 384.000.00 -164.57

-1132.80 0.000.00 192.000.00 164.57

1 2 3 4 5 6 7 8

9 10 11 12 13 14 15 16 17 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

126.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-63.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00224.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-149.33 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0098.00 168.00 0.00 126.00 0.00 0.00 0.00 -1132.80 0.00 0.00-38.57 0.00 -991.20 0.00 0.00 0.00 0.00 0.00 192.00 164.57369.37 -126.00 0.00 -63.00 0.00 0.00 0.00 0.00 -164.57 -94.04-126.00 336.00 0.00 126.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 991.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00-63.00 126.00 0.00 63.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 448.00 0.00 -224.00 224.00 0.00 224.000.00 0.00 0.00 0.00 0.00 1321.60 0.00 0.00 -1321.60 0.000.00 0.00 0.00 0.00 -224.00 0.00 149.33 -224.00 0.00 -149.330.00 0.00 0.00 0.00 224.00 0.00 -224.00 2028.80 0.00 0.00

-164.57 0.00 0.00 0.00 0.00 -1321.60 0.00 0.00 3027.20 164.57-94.04 0.00 0.00 0.00 224.00 0.00 -149.33 0.00 164.57 392.710.00 0.00 0.00 0.00 0.00 0.00 0.00 224.00 0.00 -224.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1321.60 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 224.00 0.00 -149.33

9 10 11 12 13 14 15 16 17 180

126-63

012663

9 10 11 12 13 14 15 16 17 18

-149224

9 10 11 12 13 14 15 16 17 18

-126 168 0 1260 0 -991 0

63 -126 0 -63-126 336 0 126

0 0 991 0-63 126 0 63

9 10 11 12 13 14 15 16 17 18

0.00 -1132.80 0.00 0.00-164.57 0.00 192.00 164.5794.04 0.00 -164.57 -94.04

0.00 1132.80 0.00 0.00-164.57 0.00 384.00 164.57-94.04 0.00 164.57 94.04

9 10 11 12 13 14 15 16 17 18

448 0 -224 224 0 2240 1322 0 0 -1322 0

-224 0 149 -224 0 -149224 0 -224 448 0 224

0 -1322 0 0 1322 0224 0 -149 224 0 149

9 10 11 12 13 14 15 16 17 18

448 0 -2240 1322 0

-224 0 149224 0 -224

0 -1322 0224 0 -149

PENATAAN ULANG

19 20 21 1 2 40.00 0.00 0.00 1 [Ss] = 991.20 0.00 0.000.00 0.00 0.00 2 0.00 336.00 0.000.00 0.00 0.00 3 0.00 0.00 448.000.00 0.00 0.00 4 0.00 0.00 0.000.00 0.00 0.00 5 -991.20 0.00 224.000.00 0.00 0.00 6 0.00 168.00 0.000.00 0.00 0.00 7 0.00 126.00 224.000.00 0.00 0.00 8 0.00 0.00 0.000.00 0.00 0.00 9 0.00 0.00 0.000.00 0.00 0.00 10 0.00 0.00 0.000.00 0.00 0.00 11 0.00 0.00 0.000.00 0.00 0.00 12 0.00 0.00 0.000.00 0.00 0.00 13 0.00 -126.00 0.000.00 0.00 0.00 14 0.00 0.00 -224.000.00 0.00 0.00 15 0.00 0.00 0.00

224.00 0.00 224.00 16 0.00 0.00 0.000.00 -1321.60 0.00 17 0.00 0.00 0.00

-224.00 0.00 -149.33 18 0.00 0.00 0.00448.00 0.00 224.00 19 0.00 0.00 0.00

0.00 1321.60 0.00 20 0.00 0.00 0.00224.00 0.00 149.33 21 0.00 0.00 0.00

19 20 21123456

101112131415161718192021

19 20 21123456789

101112131415

161718192021

19 20 21123456789

101112131415161718192021

19 20 21123456789

101112131415161718192021

19 20 21123456789

101112131415161718192021

19 20 21123

456789

101112131415

224 0 224 160 -1322 0 17

-224 0 -149 18448 0 224 19

0 1322 0 20224 0 149 21

PENATAAN ULANG

5 7 8 9 10 11 16 17 18 30.00 -991.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 168.00 126.00 0.00 0.00 0.00 0.00 0.00 -126.000.00 224.00 0.00 224.00 0.00 0.00 0.00 0.00 0.00 0.00

1321.60 0.00 -1321.60 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 2908.00 0.00 98.00 168.00 0.00 -1132.80 0.00 0.00 0.00

-1321.60 0.00 3032.80 -38.57 0.00 -991.20 0.00 192.00 164.57 -126.000.00 98.00 -38.57 369.37 -126.00 0.00 0.00 -164.57 -94.04 -63.000.00 168.00 0.00 -126.00 336.00 0.00 0.00 0.00 0.00 0.000.00 0.00 -991.20 0.00 0.00 991.20 0.00 0.00 0.00 0.000.00 -1132.80 0.00 0.00 0.00 0.00 2028.80 0.00 0.00 0.000.00 0.00 192.00 -164.57 0.00 0.00 0.00 3027.20 164.57 0.000.00 0.00 164.57 -94.04 0.00 0.00 0.00 164.57 392.71 0.000.00 0.00 -126.00 -63.00 0.00 0.00 0.00 0.00 0.00 63.000.00 -224.00 0.00 -149.33 0.00 0.00 0.00 0.00 0.00 0.000.00 126.00 0.00 -63.00 126.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 224.00 0.00 224.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -1321.60 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 -224.00 0.00 -149.33 0.000.00 0.00 0.00 0.00 0.00 0.00 224.00 0.00 -224.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 -1321.60 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 224.00 0.00 -149.33 0.00

6 12 13 14 15 19 20 210.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2

-224.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5

-224.00 126.00 0.00 0.00 0.00 0.00 0.00 0.00 70.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 8

-149.33 -63.00 0.00 0.00 0.00 0.00 0.00 0.00 90.00 126.00 0.00 0.00 0.00 0.00 0.00 0.00 100.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 110.00 0.00 224.00 0.00 -224.00 224.00 0.00 224.00 160.00 0.00 0.00 -1321.60 0.00 0.00 -1321.60 0.00 170.00 0.00 224.00 0.00 -149.33 -224.00 0.00 -149.33 180.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 3

149.33 0.00 0.00 0.00 0.00 0.00 0.00 0.00 60.00 63.00 0.00 0.00 0.00 0.00 0.00 0.00 120.00 0.00 448.00 0.00 -224.00 0.00 0.00 0.00 130.00 0.00 0.00 1321.60 0.00 0.00 0.00 0.00 140.00 0.00 -224.00 0.00 149.33 0.00 0.00 0.00 150.00 0.00 0.00 0.00 0.00 448.00 0.00 224.00 190.00 0.00 0.00 0.00 0.00 0.00 1321.60 0.00 200.00 0.00 0.00 0.00 0.00 224.00 0.00 149.33 21

PERHITUNGAN BEBAN EKIVALEN

BATANG 1 BATANG 4 P = 1.5 t L = 4 m P = 2 t

-1,5/2 = -0.75 t -2/2 =

1/8 x 1,5 x 4 = 0.75 tm 1/8 x 2 x 3,5 =

-0.75 tm

0 tm -0.583 tm

-0.583 tm 0.250 tm

BATANG 2 BATANG 5P = 2 t L = 3 m P = 1 t/m

-2/2 = -1 t -(1 x 3)/2 =

1/8 x 2 x 4 = -0.75 tm

0.75 tm

0 tm 0 tm

0.125 tm -0.875 tm

BATANG 3 BATANG 6P = 1 t/m L = 4 m P = 2 t

-(1 x 4)/2 = -2 t -2/2 =

-1.333 tm 1/8 x 2 x 4 =

1.333 tm

0.125 tm -0.875 tm

0 tm 0 tm

-RA = -RB = -RA = -RB =

Mp(i) = Mp(i) =

Mp(j) = Mp(j) =

Mt(i) = Mt(i) =

Mt(j) = Mt(j) =

-RA = -RB = -RA = -RB =

Mp(i) = Mp(i) = 1/12 x 1 x 32 =

Mp(j) = Mp(j) =

Mt(i) = Mt(i) =

Mt(j) = Mt(j) =

-RA = -RB = -RA = -RB =

Mp(i) = 1/12 x 1 x 42 = Mp(i) =

Mp(j) = Mp(j) =

Mt(i) = Mt(i) =

Mt(j) = Mt(j) =

BEBAN EKIVALEN

0 1L = 3.5 m 0.75 2

-1 t -0.75 3

0.875 tm -0.75 4

-0.875 tm 0 5

-0.583 70.125 8-4.75 9

L = 3 m 1.333 10

-1.5 t = 0 11 =

0.750 tm -2 12

-0.750 tm 0.750 13

-1.5 15

0.250 16-0.875 17

L = 4 m -3.5 18

-1 t -1 19

1 tm 0 20

-1 tm -1 21

0 10.75 2

-0.75 4

-0.583 7

0.125 8

-4.75 91.333 10

0 110.250 16

-0.875 17

-3.5 18

-0.75 3

0.750 130 14

-1.5 15

PERHITUNGAN PERPINDAHAN1 2 4 5 7 8 9

= 0.00194 0.00015 -0.00029 -0.00004 0.00093 -0.00004 -0.000350.00015 0.00485 0.00160 -0.00123 0.00015 -0.00123 -0.00335-0.00029 0.00160 0.00426 -0.00038 -0.00029 -0.00038 -0.00376-0.00004 -0.00123 -0.00038 0.00262 -0.00004 0.00186 0.000800.00093 0.00015 -0.00029 -0.00004 0.00093 -0.00004 -0.00035-0.00004 -0.00123 -0.00038 0.00186 -0.00004 0.00186 0.00080-0.00035 -0.00335 -0.00376 0.00080 -0.00035 0.00080 0.00787-0.00060 -0.00133 -0.00126 0.00032 -0.00060 0.00032 0.00313-0.00004 -0.00123 -0.00038 0.00186 -0.00004 0.00186 0.000800.00052 0.00008 -0.00016 -0.00002 0.00052 -0.00002 -0.00020-0.00001 -0.00009 -0.00014 -0.00004 -0.00001 -0.00004 0.00030-0.00006 -0.00025 -0.00068 -0.00057 -0.00006 -0.00057 0.00142

= 0.0010304 10.0173016 20.0167571 4-0.001719 50.0010304 7-0.001719 8-0.037893 9-0.010757 10-0.001719 110.0006985 16-0.001332 17-0.016708 18

PERHITUNGAN REAKSI1 2 4 5 7 8 9

F = 0 -126 0 0 0 -126 -630 0 -224 0 -224 0 -1490 0 0 0 126 0 -630 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

10 11 16 17 18

-0.00060 -0.00004 0.00052 -0.00001 -0.00006 1 0 1-0.00133 -0.00123 0.00008 -0.00009 -0.00025 2 0.75 2-0.00126 -0.00038 -0.00016 -0.00014 -0.00068 4 -0.75 40.00032 0.00186 -0.00002 -0.00004 -0.00057 5 0 5-0.00060 -0.00004 0.00052 -0.00001 -0.00006 7 -0.583333 70.00032 0.00186 -0.00002 -0.00004 -0.00057 8 0.125 80.00313 0.00080 -0.00020 0.00030 0.00142 9 -4.75 90.00445 0.00032 -0.00034 0.00012 0.00057 10 1.3333333 100.00032 0.00287 -0.00002 -0.00004 -0.00057 11 0 11-0.00034 -0.00002 0.00078 -0.00001 -0.00004 16 0.25 160.00012 -0.00004 -0.00001 0.00035 -0.00006 17 -0.875 170.00057 -0.00057 -0.00004 -0.00006 0.00315 18 -3.5 18

10 11 16 17 180 0 0 0 0 3 0.00103 1 +0 0 0 0 0 6 0.01730 2

126 0 0 0 0 12 0.01676 40 0 224 0 224 13 -0.00172 50 0 0 -1322 0 14 0.00103 70 0 -224 0 -149 15 -0.00172 80 0 224 0 -224 16 -0.03789 90 0 0 -1322 0 17 -0.01076 100 0 224 0 -149 18 -0.00172 11

0.00070 16-0.00133 17-0.01671 18

-0.75 3 = 1.174 3-1 6 2.674 6-2 12 3.162 12

0.75 13 -4.336 130 14 1.760 14

-1.5 15 3.839 15-1 19 4.899 160 20 1.760 17-1 21 3.652 18

14.500

PERHITUNGAN GAYA-GAYA DALAM AKHIR BATANG (pada sumbu batang)

1 2 3 4 5 6 7 8 9 10

= 0 1 991.20 0.00 0 -991.20 0.00 0-0.75 2 0.00 336.00 -126 0.00 168.00 1260.75 3 0.00 -126.00 63 0.00 -126.00 -63

0 4 -991.20 0.00 0 991.20 0.00 00.75 5 0.00 168.00 -126 0.00 336.00 1260.75 6 0.00 126.00 -63 0.00 126.00 63

= 0 1 1321.60 0.00 0 -1321.60 0.00 00.75 2 0.00 448.00 -224 0.00 224.00 224

1 3 0.00 -224.00 149 0.00 -224.00 -1490 4 -1321.60 0.00 0 1321.60 0.00 0

-0.75 5 0.00 224.00 -224 0.00 448.00 2241 6 0.00 224.00 -149 0.00 224.00 149

= 0 1 991.20 0.00 0 -991.20 0.00 01.333333 2 0.00 336.00 -126 0.00 168.00 126

2 3 0.00 -126.00 63 0.00 -126.00 -630 4 -991.20 0.00 0 991.20 0.00 0

-1.333333 5 0.00 168.00 -126 0.00 336.00 1262 6 0.00 126.00 -63 0.00 126.00 63

= 0 1 1132.80 0.00 0 -1132.80 0.00 0-0.875 2 0.00 384.00 -165 0.00 192.00 165

1 3 0.00 -164.57 94 0.00 -164.57 -940 4 -1132.80 0.00 0 1132.80 0.00 0

0.875 5 0.00 192.00 -165 0.00 384.00 1651 6 0.00 164.57 -94 0.00 164.57 94

= 0 1 1321.60 0.00 0 -1321.60 0.00 0-0.75 2 0.00 448.00 -224 0.00 224.00 2241.5 3 0.00 -224.00 149 0.00 -224.00 -1490 4 -1321.60 0.00 0 1321.60 0.00 0

0.75 5 0.00 224.00 -224 0.00 448.00 2241.5 6 0.00 224.00 -149 0.00 224.00 149

= 0 1 1321.60 0.00 0 -1321.60 0.00 0-1 2 0.00 448.00 -224 0.00 224.00 2241 3 0.00 -224.00 149 0.00 -224.00 -1490 4 -1321.60 0.00 0 1321.60 0.00 01 5 0.00 224.00 -224 0.00 448.00 224

{ FmA }1

{ FmA }2

{ FmA }3

{ FmA }4

{ FmA }5

{ FmA }6

1 6 0.00 224.00 -149 0.00 224.00 149

PERHITUNGAN GAYA-GAYA DALAM AKHIR BATANG (pada sumbu struktur)

= 1 0 0 0 0 0 0.000 10 1 0 0 0 0 0.000 20 0 1 0 0 0 1.174 30 0 0 1 0 0 0.000 40 0 0 0 1 0 -1.696 50 0 0 0 0 1 0.326 6

= 0 1 0 0 0 0 0.000 1-1 0 0 0 0 0 0.000 20 0 1 0 0 0 2.674 30 0 0 0 1 0 0.000 40 0 0 -1 0 0 -5.023 50 0 0 0 0 1 -0.674 6

= 0 1 0 0 0 0 0.000 1-1 0 0 0 0 0 4.647 20 0 1 0 0 0 0.838 30 0 0 0 1 0 0.000 40 0 0 -1 0 0 0.000 50 0 0 0 0 1 3.162 6

= 1 0 0 0 0 0 0.376 10 1 0 0 0 0 1.696 20 0 1 0 0 0 -0.490 30 0 0 1 0 0 -0.376 40 0 0 0 1 0 3.520 50 0 0 0 0 1 2.490 6

= 0 1 0 0 0 0 -1.760 1-1 0 0 0 0 0 -4.336 20 0 1 0 0 0 3.839 30 0 0 0 1 0 1.760 40 0 0 -1 0 0 -2.680 50 0 0 0 0 1 -0.839 6

= 0 1 0 0 0 0 1.760 1-1 0 0 0 0 0 3.056 20 0 1 0 0 0 -1.652 3

{ FsA }1

{ FsA }2

{ FsA }3

{ FsA }4

{ FsA }5

{ FsA }6

0 0 0 0 1 0 -1.760 40 0 0 -1 0 0 4.899 50 0 0 0 0 1 3.652 6

DIAGRAM MOMENBatang 1Interval 0-2Mx = 1,172 (x)

x= 0 = 0.000 tm 0x= 1 = 1.174 tm 0.58694x= 2 = 2.348 tm 1.173879

Interval 2-4 0Mx = 1,172 (x) - 1,5 (x - 2) 0

x= 3 = 2.022 tm 1.010819x= 4 = 1.696 tm 0.847758

Batang 4 0Interval 0-1,75 0Mx = 0,485 (x) - 1,687 0

x= 0 = 1.696 tm 0.847758x= 1 = 1.205 tm 0.602693x= 1.75 = 0.838 tm 0.418894

Interval 1,75-3,5 0Mx = -0,485 (x) - 2 (x - 1,75) - 1,687 0

x= 1.75 = 0.838 tm 0.418894x= 3.5 = -3.520 tm -1.759969

Batang 3 0Interval 0-4 0

0x= 0 = 4.647 tm 2.323451x= 1 = 4.985 tm 2.492588x= 2 = 4.323 tm 2.161726x= 3 = 2.662 tm 1.330863x= 4 = 0.000 tm 0

Mx = 0,856 (x) - 1 (0,5 x2) - 4,575

11 12 13 14 15 16 17 18 19 20

1 1 0 0 0 0 0 0.00103 1 =2 0 1 0 0 0 0 0.017302 23 0 0 1 0 0 0 0 34 0 0 0 1 0 0 0.00103 75 0 0 0 0 1 0 -0.001719 86 0 0 0 0 0 1 -0.037893 9

1 0 -1 0 0 0 0 0.016757 4 =2 1 0 0 0 0 0 -0.001719 53 0 0 1 0 0 0 0 64 0 0 0 0 -1 0 0.00103 75 0 0 0 1 0 0 -0.001719 86 0 0 0 0 0 1 -0.037893 9

1 0 -1 0 0 0 0 0.00103 7 =2 1 0 0 0 0 0 -0.001719 83 0 0 1 0 0 0 -0.037893 94 0 0 0 0 -1 0 -0.010757 105 0 0 0 1 0 0 -0.001719 116 0 0 0 0 0 1 0 12

1 1 0 0 0 0 0 0.00103 7 =2 0 1 0 0 0 0 -0.001719 83 0 0 1 0 0 0 -0.037893 94 0 0 0 1 0 0 0.000699 165 0 0 0 0 1 0 -0.001332 176 0 0 0 0 0 1 -0.016708 18

1 0 -1 0 0 0 0 0 13 =2 1 0 0 0 0 0 0 143 0 0 1 0 0 0 0 154 0 0 0 0 -1 0 0.000699 165 0 0 0 1 0 0 -0.001332 176 0 0 0 0 0 1 -0.016708 18

1 0 -1 0 0 0 0 0.000699 16 =2 1 0 0 0 0 0 -0.001332 173 0 0 1 0 0 0 -0.016708 184 0 0 0 0 -1 0 0 195 0 0 0 1 0 0 0 20

6 0 0 0 0 0 1 0 21

= 0.000 1 x0.000 2 y1.174 3 h0.000 7 x-1.696 8 y0.326 9 h 0.000

= 0.000 4 x0.000 5 y 0.0002.674 6 h-5.023 7 x0.000 8 y-0.674 9 h

= 4.647 7 x -0.3760.000 8 y 0.3760.838 9 h0.000 10 x0.000 11 y3.162 12 h

= 0.376 7 x1.696 8 y-0.490 9 h 0.376-0.376 16 x3.520 17 y2.490 18 h 0.000

= -4.336 13 x1.760 14 y3.839 15 h-2.680 16 x-1.760 17 y-0.839 18 h

= 3.056 16 x-1.760 17 y-1.652 18 h

4.899 19 x1.760 20 y3.652 21 h

Batang 2 Interval 0-1,5Mx = 2,700 (x)

x= 0 = 0.000 tm 0x= 1 = 2.674 tm 1.337133x= 1.5 = 4.011 tm 2.005699

Interval 1,5-3 0Mx = 2,700 (x) - 2 (x - 1,5) - 5,099 0

x= 1.5 = 4.011 tm 2.005699x= 3 = 5.023 tm 2.511398

Batang 6 0Interval 0-2 0Mx = -1,561 (x)+ 4,876 0

x= 0 = 3.056 tm 1.527772x= 1 = 1.404 tm 0.702003x= 2 = -0.248 tm -0.123766

Interval 2-4 0Mx = -1,561 (x) - 2 (x - 2) + 4,876 0

x= 2 = -0.248 tm -0.123766x= 3 = -3.899 tm -1.949535x= 4 = -7.551 tm -3.775305

0Batang 5 0Interval 0-3 0

0x= 0 = -4.336 tm -2.168062x= 1.5 = 0.297 tm 0.148382x= 2 = 1.341 tm 0.67053x= 3 = 2.680 tm 1.339825

Mx = 0,856 (x) - 1 (0,5 x2) - 4,575

0.000 10.000 21.174 30.000 4-1.696 50.326 6

0.000 10.000 22.674 30.000 4-5.023 5-0.674 6

0.000 14.647 20.838 30.000 40.000 53.162 6

0.376 11.696 2-0.490 3-0.376 43.520 52.490 6

-1.760 1-4.336 23.839 3 BANANA TANGO HIGH SCHOOL1.760 4-2.680 5-0.839 6

1.760 13.056 2-1.652 3-1.760 44.899 5

3.652 6

BANANA TANGO HIGH SCHOOL

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