Fitra Long Strength Rev

PERHITUGAN GAYA ANGKAT

Data KapalLWL = 90.480 mLPP = 87.000 m

B = 14.000 mH = 7.450 mT = 6.000 m

CB = 0.747Vol. Disp = 5677.439 m

Disp = 5819.375 tonh = 2.175 m, jarak antar station

Area (m^2) F.S Hasil kali Lengan (m)

0 1.6376 1 1.638 -43.51 4.782 4 19.129 -41.3252 17.8176 2 35.635 -39.153 29.6536 4 118.614 -36.9754 39.949 2 79.898 -34.85 50.6652 4 202.661 -32.6256 58.8956 2 117.791 -30.457 65.1712 4 260.685 -28.2758 70.0816 2 140.163 -26.19 73.8386 4 295.354 -23.925

10 76.6592 2 153.318 -21.7511 78.771 4 315.084 -19.57512 80.3746 2 160.749 -17.413 81.6258 4 326.503 -15.22514 82.5286 2 165.057 -13.0515 83.0802 4 332.321 -10.87516 83.2662 2 166.532 -8.717 83.4638 4 333.855 -6.52518 83.4638 2 166.928 -4.3519 83.4638 4 333.855 -2.17520 83.4638 2 166.928 021 83.4638 4 333.855 2.17522 83.4638 2 166.928 4.3523 83.4638 4 333.855 6.52524 83.4638 2 166.928 8.725 83.4638 4 333.855 10.87526 83.4638 2 166.928 13.0527 83.2708 4 333.083 15.22528 82.6778 2 165.356 17.429 81.6376 4 326.550 19.57530 80.1108 2 160.222 21.7531 77.4902 4 309.961 23.92532 73.6924 2 147.385 26.133 69.6806 4 278.722 28.27534 64.1194 2 128.239 30.4535 56.202 4 224.808 32.62536 47.1362 2 94.272 34.837 38.0994 4 152.398 36.97538 28.2118 2 56.424 39.1539 17.568 4 70.272 41.32540 0 1 0.000 43.5

Jumlah 7842.739 Jumlah

Volume (m^3) 5685.98563

5828.135271

Titik Tekan (m dari midship)

PERHITUGAN GAYA ANGKAT

-71.236 0-197.624 1-697.559 2

-1096.442 3-1390.225 4-1652.952 5-1793.371 6-1842.716 7-1829.130 8-1766.589 9-1667.338 10-1541.942 11-1398.518 12-1242.753 13-1076.998 14-903.497 15-724.416 16-544.601 17-363.068 18-181.534 19

0.000 20181.534 21363.068 22544.601 23726.135 24907.669 25

1089.203 261267.798 271438.594 281598.056 291742.410 301853.953 311923.372 321970.219 331952.436 341833.590 351640.340 361408.725 371104.492 38725.998 39

0.000 402289.683

Momen luasan (m^3)

0.2919494099

0.8188 1.63762.3911 4.78228.9088 17.8176

14.8268 29.653619.9745 39.94925.3326 50.665229.4478 58.895632.5856 65.171235.0408 70.081636.9193 73.838638.3296 76.659239.3855 78.77140.1873 80.374640.8129 81.625841.2643 82.528641.5401 83.080241.6331 83.266241.7319 83.463841.7319 83.463841.7319 83.463841.7319 83.463841.7319 83.463841.7319 83.463841.7319 83.463841.7319 83.463841.7319 83.463841.7319 83.463841.6354 83.270841.3389 82.677840.8188 81.637640.0554 80.110838.7451 77.490236.8462 73.692434.8403 69.680632.0597 64.1194

28.101 56.20223.5681 47.136219.0497 38.099414.1059 28.2118

8.784 17.5680 0

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 410

10

20

30

40

50

60

70

80

90

Station ke - n

Luas S

tati

on

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 410

10

20

30

40

50

60

70

80

90

Station ke - n

Luas S

tati

on

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 410

10

20

30

40

50

60

70

80

90

Station ke - n

Luas S

tati

on

PERHITUNGAN RUANG MUAT

NO A A x SF q rata2

0123456789

10 85.5098 68.40784 0 42.754911 87.172 69.7376 69.07272 43.58612 88.4174 70.73392 70.23576 44.208713 89.3436 71.47488 71.1044 44.671814 89.933 71.9464 71.71064 44.966515 90.2114 72.16912 72.05776 45.105716 90.2866 72.22928 72.1992 45.143317 90.2946 72.23568 72.23248 45.147318 90.2946 72.23568 72.23568 45.147319 90.2946 72.23568 72.23568 45.147320 90.2946 72.23568 72.23568 45.147321 90.2946 72.23568 72.23568 45.147322 90.2946 72.23568 72.23568 45.147323 90.2946 72.23568 72.23568 45.147324 90.2946 72.23568 72.23568 45.147325 90.2946 72.23568 72.23568 45.147326 90.2946 72.23568 72.23568 45.147327 90.2384 72.19072 72.2132 45.119228 89.858 71.8864 72.03856 44.92929 89.026 71.2208 71.5536 44.51330 87.7244 70.17952 70.70016 43.862231 85.458 68.3664 69.27296 42.72932 81.7296 65.38368 66.87504 40.864833 77.6712 62.13696 63.76032 38.835634 72.0852 57.66816 59.90256 36.042635 63.8304 51.06432 54.36624 31.915236 54.0398 43.23184 47.14808 27.019937 43.9 35.12 39.17592 21.95383940

Jumlah 1835.74072 ton/mVolume Ruang Muat 3992.736066 ton h =

SF muatan =

L (m) Volume (ton) Bentuk LCG (m)

Ruang Muat 1 18.2 1215.180542 Persegi Panjang 9.1Ruang Muat 2 23.4 1562.374982 Persegi Panjang 11.7Ruang Muat 3 18.2 1215.180542 Trapesium 7.28

59.8LCG Ruang

Muat

PERHITUNGAN RUANG MUAT

85.509887.172

88.417489.3436

89.93390.211490.286690.294690.294690.294690.294690.294690.294690.294690.294690.294690.294690.2384

89.85889.026

87.724485.458

81.729677.671272.085263.830454.0398

43.9

2.175 m0.8 ton/m3

-13.47.4

26.38

6.8460869565

LCG dari midship (m)

m didepan midship

KOMPONEN LWT & DWT

Komponen LWT

Equipment & Outfitting

No Lokasi L (m) Berat (ton) Persebaran

1 Poop Deck 24.48 198.15 Trapesium -32.2922 Boat Deck 18 127.06 Persegi Panjang -31.53 Bridge Deck 12 89.88 Persegi Panjang -28.54 Navigation Deck 9 74.93 Persegi Panjang -275 Top Deck 6.6 0.13 Persegi Panjang -25.86 Forecastle Deck 7.8 36.64 Segitiga 39.9

526.80

Permesinan


1 Main Engine 15 308.8015501 Trapesium -28.5

Steel Weight


1 Steel Weight 900 0.29194941

LWT = 1735.599205 tonLCG LWT = -4.93418507 m dari midship

Komponen DWT

Crew & Consumable

No Jenis L (m) Berat (ton) Persebaran

1 Fresh Water 4.2 35 Trapesium -45.182 Fuel Oil 2.4 27 Trapesium -23.463 Diesel Oil 2.4 15 Trapesium -36.544 Lubricating Oil 6 20 Trapesium -30.95 Crew & Carrier 18 2.8 Trapesium -31.1336

99.8

Payload

No Jenis L (m) Berat (ton) Persebaran

1 Ruang Muat 1 18.2 1215.180542 Persegi Panjang -13.42 Ruang Muat 2 23.4 1562.374982 Persegi Panjang 7.43 Ruang Muat 3 18.2 1215.180542 Trapesium 26.38

3992.736066


Berat Total (ton)





Berat Total (ton)



Berat Total (ton)


DWT = 4092.536066 tonLCG DWT = 5.831744385 m dari midship

KOMPONEN LWT & DWT

-6398.53279-4002.3414

-2561.59654-2023.2323

-3.468296191462.07926

-25.6779656

-8800.84418

262.7544689

-1581.3-633.42

-548.1-618

-87.17408

-34.7494397

-16283.419311561.5748732056.46269

6.846086957

Momen (ton . m)

Momen (ton . m)

Momen (ton . m)

Momen (ton . m)

Momen (ton . m)

PERHITUGAN HULL WEIGHT

Data KapalLWL = 90.480 mLPP = 87.000 m

B = 14.000 mH = 7.450 mT = 6.000 m

CB = 0.747Vol. Disp = 5677.439 m

Disp = 5819.375 tonh = 2.175 m, jarak antar station

Berat Kapal Total BKT 5828.14 tonDWT DWT 4092.54 tonLWT : 1735.60 tonA. Bangunan Atas BA 526.80 tonB. Permesinan dan Peralatan MP 308.801550143 tonC. Hull Weight 900 ton1. Lengkung CSA WHL 600 ton2. Trapesium WHT 300 ton

Titik berat kapal total (t.b.BKT) 0.29 m

Titik berat DWT (t.b.DWT) 5.83 m

Titik berat bangunan atas (t.b.BA) -25.68 mTitik berat permesinan dan peralatan (t.b.MP) -28.50 mTitik berat hull weight lengkung CSA (t.b.WHL) 0.292 m

Titik berat hull weight trapesium (t.b.WHT) -0.041

t.b.BKT =(DWT x t.b.DWT) + (BA x t.b.BA) + (MP x t.b.MP) + (WHL x t.b.WHL) + (WHT x t.b. WHT)

BKT

t.b.WHT =(BKT x t.b.BKT) - [(DWT x t.b.DWT) + (BA x t.b.BA) + (MP x t.b.MP) + (WHL x t.b.WHL)]

WHTt.b.WHT = -0.0411232208 m

ma = (RUMUS DARI BUKU OWEN HUGHES)

mf = (RUMUS DARI BUKU OWEN HUGHES)

ma = 3.458 ton/mmf = 3.438 ton/m

PERHITUNGAN BERAT HULL

Distribusi hull weight lengkung CSA

Station q FS Hasil kali q q0 0.17 1 0.1728038134 3.46 3.631 0.50 4 2.0185207538 3.46 3.962 1.88 2 3.7603190355 3.46 5.343 3.13 4 12.516500152 3.46 6.594 4.22 2 8.4310448741 3.46 7.67

Mo/L - 6 Mo.x/L2

Mo/L + 6 Mo.x/L2

Distribusi hull weight

trapesium

Distribusi hull weight lengkung CSA + trapesium

5 5.35 4 21.385294989 3.46 8.806 6.21 2 12.429633945 3.46 9.677 6.88 4 27.508138461 3.45 10.338 7.40 2 14.790385603 3.45 10.859 7.79 4 31.166564872 3.45 11.25

10 8.09 2 16.17855654 3.45 11.5411 8.31 4 33.248483605 3.45 11.7612 8.48 2 16.962673893 3.45 11.9313 8.61 4 34.453467305 3.45 12.0714 8.71 2 17.417265263 3.45 12.1615 8.77 4 35.067355596 3.45 12.2216 8.79 2 17.572932206 3.45 12.2417 8.81 4 35.229269477 3.45 12.2618 8.81 2 17.614634738 3.45 12.2619 8.81 4 35.229269477 3.45 12.2620 8.81 2 17.614634738 3.45 12.2621 8.81 4 35.229269477 3.45 12.2622 8.81 2 17.614634738 3.45 12.2523 8.81 4 35.229269477 3.45 12.2524 8.81 2 17.614634738 3.45 12.2525 8.81 4 35.229269477 3.45 12.2526 8.81 2 17.614634738 3.45 12.2527 8.79 4 35.147806028 3.44 12.2328 8.72 2 17.448753208 3.44 12.1729 8.61 4 34.458447972 3.44 12.0630 8.45 2 16.907000168 3.44 11.9031 8.18 4 32.70787021 3.44 11.6232 7.78 2 15.552427627 3.44 11.2233 7.35 4 29.411512952 3.44 10.7934 6.77 2 13.532091885 3.44 10.2135 5.93 4 23.722325165 3.44 9.3736 4.97 2 9.9478689678 3.44 8.4137 4.02 4 16.081391328 3.44 7.4638 2.98 2 5.9539651 3.44 6.4239 1.85 4 7.4152843049 3.44 5.2940 0.00 1 0 3.44 3.44

jumlah 827.59 Jumlahberat 600.00 Berat

PERHITUGAN HULL WEIGHT

TM1calculatedcalculatedcalculatedTM1TM1=2/3*HW=1/3*HW

calculatedcalculated

calculatedTM1calculatedcalculated

(DWT x t.b.DWT) + (BA x t.b.BA) + (MP x t.b.MP) + (WHL x t.b.WHL) + (WHT x t.b. WHT)BKT

(BKT x t.b.BKT) - [(DWT x t.b.DWT) + (BA x t.b.BA) + (MP x t.b.MP) + (WHL x t.b.WHL)]WHT

(RUMUS DARI BUKU OWEN HUGHES)

(RUMUS DARI BUKU OWEN HUGHES)

Hasil kali3.63

15.8510.6726.3415.34

Distribusi hull weight lengkung CSA + trapesium

35.2119.3441.3321.7044.9823.0847.0623.8748.2624.3248.8724.4749.0324.5149.0224.5149.0224.5149.0224.5149.0124.5148.9324.3448.2323.7946.4822.4443.1820.4137.4916.8329.8412.8321.173.44

1241.38900

PENYEBARAN BERAT KAPAL KOSONGDari perhitungan sebelumnya telah diperoleh berat kapal kosong tiap station (40 station)sehingga penyebaran berat kapal kosong dapat dihitung sebagai berikut

q(x) = W(x)/hs ton/mdimana:

W(x) = Berat kapal kosong tiap station [ton]hs = jarak station [m]

= Lpp/40 ; Lpp = 87.00 m= 2.175 m

StationW(x) q(x)[ton] ton/m

0-1 7.90 3.6311-2 8.62 3.9622-3 11.61 5.3373-4 14.32 6.5864-5 16.69 7.6725-6 19.14 8.8026-7 21.03 9.6707-8 22.47 10.3328-9 23.60 10.849

9-10 24.46 11.24510-11 25.10 11.54211-12 25.59 11.76512-13 25.96 11.93413-14 26.24 12.06514-15 26.45 12.16015-16 26.57 12.21816-17 26.61 12.23717-18 26.66 12.25718-19 26.66 12.25719-20 26.66 12.25620-21 26.66 12.25621-22 26.65 12.25522-23 26.65 12.25523-24 26.65 12.25424-25 26.65 12.25425-26 26.65 12.25326-27 26.65 12.25327-28 26.60 12.23228-29 26.47 12.16929-30 26.23 12.05830-31 25.88 11.89731-32 25.27 11.62032-33 24.40 11.21933-34 23.48 10.79534-35 22.20 10.20735-36 20.38 9.37236-37 18.30 8.41437-38 16.23 7.46038-39 13.96 6.41639-40 11.51 5.29340-41 7.48 3.438

Poop Deck

W = 198.15 tonL = 24.48 mq = 8.094202082 ton/mh = 2.175 m

Beban dibelakang ST. 0W = q * x'

dimana x' = 3.479 m, panjang konstruksi dibelakang ST.0

maka, W = 28.15972904 ton

beban didistribusikan ke ST 0 sampai ST 2

a = 1.3916 m

W2 = -32.0969123 ton

q (0 s/d 1) 27.70420292 ton/mW1 = 60.25664135 ton q (1 s/d 2) -14.7572011 ton/m

Beban didepan ST.9W = q * x'

dimana x' = 1.425 m, panjang konstruksi didepan ST.9

maka, W = 11.53423797 ton


a = 0.57 m

W1 = 8.789884795 ton

q (9 s/d 10) 4.041326343 ton/mW2 = 2.744353171 ton q (8 s/d 9) 1.261771573 ton/m

Tabel Pembebanan Poop DeckST q q rata2 q didepan q blakang q total0 8.094202082

8.094202082 27.7042029189 35.7984051 8.094202082

8.094202082 -14.7572010606 -6.662998982 8.094202082

8.094202082 8.0942020823 8.094202082

8.094202082 8.094202082

4 8.0942020828.094202082 8.094202082

5 8.0942020828.094202082 8.094202082

6 8.0942020828.094202082 8.094202082

7 8.0942020828.094202082 8.094202082

8 8.0942020828.094202082 1.261771573 9.355973655

9 8.0942020820 4.041326343 4.041326343

10 0S = 91.09791851

W = S x h = 198.1379728 ton

Boat Deck

W = 127.06 tonL = 18 mq = 7.058803172 ton/mh = 2.175 m


dimana x' = 1.35 m, panjang konstruksi dibelakang ST. 2

maka, W = 9.529384282 ton


a = 0.675 m

W1 = 7.722087263 ton




maka, W = 10.05879452 ton


a = 0.7125 m

W1 = 8.324519603 ton


Tabel Pembebanan Boat DeckST q q rata2 q didepan q blakang q total1 0

0 3.5503849485 3.5503849492 7.058803172

7.058803172 0.8309411582 7.889744333 7.058803172

7.058803172 7.0588031724 7.058803172

7.058803172 7.0588031725 7.058803172

7.058803172 7.0588031726 7.058803172

7.058803172 7.0588031727 7.058803172

7.058803172 7.0588031728 7.058803172

7.058803172 0.797367778 7.856170959 7.058803172

0 3.827365335 3.82736533510

S = 58.41768142W = S x h = 127.0584571 ton

Bridge Deck

W = 89.88 tonL = 12 mq = 7.490048376 ton/mh = 2.175 m



maka, W = 14.0438407 ton


a = 0.9375 m

W1 = 13.07529997 ton



dimana

x' = 1.425 m, panjang konstruksi didepan ST.9maka,

W = 10.67331894 ton


a = 0.7125 m

W1 = 8.833091533 ton


Tabel Pembebanan Bridge DeckST q q rata2 q didepan q blakang q total4 0

0 6.0116321682 6.0116321685 7.490048376

7.490048376 0.4453060865 7.9353544626 7.490048376

7.490048376 7.4900483767 7.490048376

7.490048376 7.4900483768 7.490048376

7.490048376 0.846081564 8.336129949 7.490048376

0 4.061191509 4.06119150910 0

S = 41.32440483W = S x h = 89.88058051 ton

Navigation Deck

W = 74.93 tonL = 9 mq = 8.326058832 ton/mh = 2.175 m



maka, W = 8.742361774 ton


a = 0.525 m

W1 = 6.481406143 ton




maka, W = 11.86463384 ton


a = 0.7125 m

W1 = 9.819007313 ton


Tabel Pembebanan Navigation DeckST q q rata2 q didepan q blakang q total5 0

0 2.9799568473 2.9799568476 8.326058832

8.326058832 1.0395198304 9.3655786637 8.326058832

8.326058832 8.3260588328 8.326058832

8.326058832 0.9405179418 9.2665767749 8.326058832

0 4.5144861208 4.51448612110 0

S = 34.45265724W = S x h = 74.93452949 ton

Top Deck

W = 0.13 tonL = 6.6 mq = 0.020368195 ton/mh = 2.175 m



maka, W = 0.004582844 ton


a = 0.1125 m

W1 = 0.002528466 ton




maka, W = 0.029024677 ton


a = 0.7125 m

W1 = 0.024020423 ton


Tabel Pembebanan Top DeckST q q rata2 q didepan q blakang q total6 0

0 0.0012 0.0011625137 0.020368195

0.020368195 0.0009 0.0213127368 0.020368195

0.020368195 0.002300807 0.0226690019 0.020368195

0 0.011043872 0.01104387210 0

S = 0.056188123W = S x h = 0.122209168 ton

Forecastle Deck

W = 36.64 tonL = 7.8 mq = 4.697896215 ton/mh = 2.175 m



maka, W = 8.691107997 ton


a = 0.74 m

W1 = 7.302528673 ton


Beban didepan ST. 40W = q * x'


maka, W = 7.516633943 ton


a = 0.533333333 m

W2 = -5.60147625 ton

q (39 s/d 40) 6.031315033 ton/mW1 = 13.1181102 ton q (38 s/d 39) -2.57539138 ton/m

Tabel Pembebanan Forecastle DeckST q q rata2 q didepan q blakang q total37 0

0 3.3574844476 3.35748444838 4.697896215

4.697896215 -2.57539138 0.6384 2.76093210939 4.697896215

4.697896215 6.031315033 10.7292112540 4.697896215

S = 16.8476278W = S x h = 36.64359047 ton

PENYEBARAN BERAT KAPAL KOSONG

ENGINE ROOM

W = 308.80 tonL = 15 mq = 20.58677001 ton/mh = 2.175 m



maka, W = 10.80805425 ton


a = 0.21 m

W1 = 6.4475634 ton




maka, W = 29.33614726 ton


a = 0.7125 m

W1 = 24.27819084 ton


Tabel Pembebanan Engine RoomST q q rata2 q didepan q blakang q total2 0

0 2.964396966 2.9643969663 20.58677001

20.58677001 2.004823381 22.591593394 20.58677001

20.58677001 20.586770015 20.58677001

20.58677001 20.586770016 20.58677001

20.58677001 20.58677001

7 20.5867700120.58677001 20.58677001

8 20.5867700120.58677001 2.325497207 22.91226722

9 20.586770010 11.16238659 11.16238659

10 0S = 141.9777242

W = S x h = 308.8015501 ton

ENGINE ROOM

REKAPITULASI LWT

NO STATION

q (x) [ton/m]

Po

op

Bo

at

De

ck

Bri

dg

e D

ec

k

Na

v D

ec

k

Top

De

ck

1 0-1 35.802 1-2 -6.66 3.5503849493 2-3 8.09 7.894 3-4 8.09 7.065 4-5 8.09 7.06 6.0116321686 5-6 8.09 7.06 7.94 2.9799568477 6-7 8.09 7.06 7.49 9.37 0.0011625138 7-8 8.09 7.06 7.49 8.33 0.0213127369 8-9 9.36 7.86 8.34 9.27 0.02

10 9-10 4.04 3.83 4.06 4.51 0.0111 10-1112 11-1213 12-1314 13-1415 14-1516 15-1617 16-1718 17-1819 18-1920 19-2021 20-2122 21-2223 22-2324 23-2425 24-2526 25-2627 26-2728 27-2829 28-2930 29-3031 30-3132 31-3233 32-3334 33-3435 34-3536 35-3637 36-3738 37-3839 38-3940 39-40

REKAPITULASI LWT

q (x) [ton/m]F

ore

ca

stl

e

En

gin

e R

oo

m

Ma

in H

ull

3.63 39.433.96 0.85

2.964396966 5.34 24.2922.59159339 6.59 44.33

20.59 7.67 49.4220.59 8.80 55.4620.59 9.67 62.2720.59 10.33 61.9122.91 10.85 68.6011.16 11.25 38.86

11.54 11.5411.76 11.7611.93 11.9312.07 12.0712.16 12.1612.22 12.2212.24 12.2412.26 12.2612.26 12.2612.26 12.2612.26 12.2612.26 12.2612.25 12.2512.25 12.2512.25 12.2512.25 12.2512.25 12.2512.23 12.2312.17 12.1712.06 12.0611.90 11.9011.62 11.6211.22 11.2210.79 10.7910.21 10.219.37 9.378.41 8.41

3.36 7.46 10.822.76 6.42 9.18

10.73 5.29 16.02

q (x) total [ton/m]

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

Station ke - n

LWT (

ton/m

)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

Station ke - n

LWT (

ton/m

)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

Station ke - n

LWT (

ton/m

)

Fresh Water

W = 35.00 tonL = 4.2 mq = 8.333333333 ton/mh = 2.175 m



maka, W = 3.125 ton


a = 0.15 m

W1 = 1.778017241 ton



dimana x' = 1.65 m, panjang konstruksi didepan ST. 2

maka, W = 13.75 ton


a = 0.66 m

W1 = 11.04741379 ton


Tabel Pembebanan Fresh WaterST q q rata2 q didepan q blakang q total0 0

0 0.8174791914 0.8174791911 8.333333333

8.333333333 1.242568371 0.6193024178 10.195204122 8.333333333

0 5.0792707095 5.0792707093 0

S = 16.09195402W = S x h = 35 ton

Fuel Oil

W = 27.00 tonL = 2.4 mq = 11.25 ton/mh = 2.175 m



maka, W = 8.4375 ton


a = 0.3 m

W1 = 5.382543103 ton




maka, W = 18.5625 ton


a = 0.66 m

W1 = 14.91400862 ton


Tabel Pembebanan Fuel OilST q q rata2 q didepan q blakang q total1 0

0 1.677467301 2.4747324614 4.1521997622 11.25

0 6.857015458 1.4045778835 8.2615933413 0

S = 12.4137931W = S x h = 27 ton

Diesel Oil

W = 15.00 tonL = 2.4 mq = 6.25 ton/mh = 2.175 m



maka, W = 11.25 ton


a = 0.72 m

W1 = 9.349137931 ton




maka, W = 3.75 ton


a = 0.24 m

W1 = 2.288793103 ton


Tabel Pembebanan Diesel OilST q q rata2 q didepan q blakang q total7 0

0 0.671819263 4.2984542212 4.9702734848 6.25

0 1.052318668 0.8739595719 1.926278249 0

S = 6.896551724

W = S x h = 15 ton

Lubricating Oil

W = 20.00 tonL = 6 mq = 3.333333333 ton/mh = 2.175 m



maka, W = 6.25 ton


a = 0.75 m

W1 = 5.280172414 ton




maka, W = 6.5 ton


a = 0.78 m

W1 = 5.581034483 ton


Tabel Pembebanan Lubricating OilST q q rata2 q didepan q blakang q total4 0

0 2.4276654776 2.4276654785 3.333333333

3.333333333 0.422512881 0.4458977408 4.201743956

6 3.3333333330 2.565992866 2.565992866

7 0S = 9.195402299

W = S x h = 20 ton

Crew & Provision

W = 2.80 tonL = 18 mq = 0.155555556 ton/mh = 2.175 m



maka, W = 0.21 ton


a = 0.675 m

W1 = 0.170172414 ton




maka, W = 0.221666667 ton


a = 0.7125 m

W1 = 0.183448276 ton


Tabel Pembebanan Crew & ProvisionST q q rata2 q didepan q blakang q total1 0

0 0.0782401902 0.07824019

2 0.1555555560.155555556 0.0183115339 0.173867089

3 0.1555555560.155555556 0.155555556

4 0.1555555560.155555556 0.155555556

5 0.1555555560.155555556 0.155555556

6 0.1555555560.155555556 0.155555556

7 0.1555555560.155555556 0.155555556

8 0.1555555560.155555556 0.017571674 0.173127229

9 0.1555555560 0.084344035 0.084344035

10S = 1.287356322

W = S x h = 2.8 ton

Cargo Hold 1

W = 1215.18 tonL = 18.2 mq = 66.76816164 ton/mh = 2.175 m



maka, W = 50.07612123 ton


a = 0.375 m

W1 = 33.67187462 ton




maka, W = 3.338408082 ton


a = 0.025 m

W1 = 1.707576548 ton


Tabel Pembebanan Cargo Hold 1ST q q rata2 q didepan q blakang q total9 0

0 15.4813216642 15.4813216610 66.76816164

66.76816164 7.5421823492 74.3103439911 66.76816164

66.76816164 66.7681616412 66.76816164

66.76816164 66.7681616413 66.76816164

66.76816164 66.76816164

14 66.7681616466.76816164 66.76816164

15 66.7681616466.76816164 66.76816164

16 66.7681616466.76816164 66.76816164

17 66.7681616466.76816164 0.749807602 67.51796924

18 66.768161640 0.785092666 0.785092666

19 0S = 558.7036974

W = S x h = 1215.180542 ton

Cargo Hold 2

W = 1562.37 tonL = 23.4 mq = 66.76816164 ton/mh = 2.175 m



maka, W = 141.8823435 ton


a = 1.0625 m

W1 = 140.2515119 ton




maka, W = 113.5058748 ton


a = 0.85 m

W1 = 101.1115551 ton

q (28 s/d 29) 46.48807132 ton/m

W2 = 12.39431966 ton q (27 s/d 28) 5.698537775 ton/m


0 64.4834537693 64.4834537719 66.76816164

66.76816164 0.749807602 67.5179692420 66.76816164

66.76816164 66.7681616421 66.76816164

66.76816164 66.7681616422 66.76816164

66.76816164 66.7681616423 66.76816164

66.76816164 66.7681616424 66.76816164

66.76816164 66.7681616425 66.76816164

66.76816164 66.7681616426 66.76816164

66.76816164 66.7681616427 66.76816164

66.76816164 5.698537775 72.4666994128 66.76816164

0 46.48807132 46.4880713229 0

S = 718.3333252W = S x h = 1562.374982 ton

Cargo Hold 3

W = 1215.18 tonL = 18.2 mq = 66.76816164 ton/mh = 2.175 m



maka, W = 31.71487678 ton


a = 0.19 m

W1 = 18.62793337 ton


Beban didepan ST. 37

W = q * x'dimana

x' = 0.325 m, panjang konstruksi didepan ST. 37maka,

W = 21.69965253 ton


a = 0.1625 m

W1 = 12.47106467 ton



0 8.5645670677 8.56456706829 66.76816164

66.76816164 6.0169854741 72.7851471130 66.76816164

66.76816164 66.7681616431 66.76816164

66.76816164 66.7681616432 66.76816164

66.76816164 66.7681616433 66.76816164

66.76816164 66.7681616434 66.76816164

66.76816164 66.7681616435 66.76816164

66.76816164 66.7681616436 66.76816164

66.76816164 4.2430289005 71.0111905437 66.76816164

0 5.7338228386 5.73382283938 0

S = 558.7036974W = S x h = 1215.180542 ton

DISTRIBUSI CARGO HOLD

C H 1 C H 2 C H 3 TOTAL9-10 15.48132166 15.4813216610-11 74.31034399 74.3103439911-12 66.76816164 66.7681616412-13 66.76816164 66.7681616413-14 66.76816164 66.7681616414-15 66.76816164 66.7681616415-16 66.76816164 66.7681616416-17 66.76816164 66.7681616417-18 67.51796924 67.5179692418-19 0.785092666 64.48345377 65.2685464319-20 67.51796924 67.5179692420-21 66.76816164 66.7681616421-22 66.76816164 66.7681616422-23 66.76816164 66.7681616423-24 66.76816164 66.7681616424-25 66.76816164 66.7681616425-26 66.76816164 66.7681616426-27 66.76816164 66.7681616427-28 72.46669941 72.4666994128-29 46.48807132 8.564567068 55.0526383929-30 72.78514711 72.7851471130-31 66.76816164 66.7681616431-32 66.76816164 66.7681616432-33 66.76816164 66.7681616433-34 66.76816164 66.7681616434-35 66.76816164 66.7681616435-36 66.76816164 66.7681616436-37 71.01119054 71.0111905437-38 5.733822839 5.733822839

15.4813216676.61490235

70.2357671.1044

71.7106472.05776

72.199272.2324872.2356872.2356872.2356872.2356872.2356872.2356872.2356872.2356872.23568

72.213272.03856

71.553670.7001669.2729666.8750463.7603259.9025654.3662447.14808

43.41894895.733822839

REKAPITULASI DWT

NO STATION

q (x) [ton/m]

Ca

rgo

Ho

ld

Fre

sh

Wa

ter

Fu

el

Oil

Die

se

l O

il

1 0-1 0.8172 1-2 10.1953 2-3 5.0794 3-4 4.1525 4-5 8.2626 5-6 2.4287 6-7 4.2028 7-8 2.5669 8-9 4.970

10 9-10 15.48132166 1.92611 10-11 74.3103439912 11-12 66.7681616413 12-13 66.7681616414 13-14 66.7681616415 14-15 66.7681616416 15-16 66.7681616417 16-17 66.7681616418 17-18 67.5179692419 18-19 65.2685464320 19-20 67.5179692421 20-21 66.7681616422 21-22 66.7681616423 22-23 66.7681616424 23-24 66.7681616425 24-25 66.7681616426 25-26 66.7681616427 26-27 66.7681616428 27-28 72.4666994129 28-29 55.0526383930 29-30 72.7851471131 30-31 66.7681616432 31-32 66.7681616433 32-33 66.7681616434 33-34 66.7681616435 34-35 66.7681616436 35-36 66.7681616437 36-37 71.0111905438 37-38 5.73382283939 38-3940 39-40

Lu

bri

ca

tin

g

Oil

REKAPITULASI DWT

q (x) [ton/m]

Cre

w &

Pro

v

0.8170.078 10.2730.174 5.2530.156 4.3080.156 8.4170.156 2.5830.156 4.3570.156 2.7220.173 5.1430.084 17.492

74.31066.76866.76866.76866.76866.76866.76867.51865.26967.51866.76866.76866.76866.76866.76866.76866.76872.46755.05372.78566.76866.76866.76866.76866.76866.76871.0115.7340.0000.000

q (x) total [ton/m]

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

REKAPITULASI LWT DWT

NO STATION

q (ton/m) q (ton/m) q (ton/m) qtot . H

LWT DWT Total (ton)

1 0-1 39.43 0.817479191 40.25 102.536667 1.08752 1-2 0.85 10.27344431 11.12 34.19258362 3.26253 2-3 24.29 5.253137799 29.54 64.24671208 5.43754 3-4 44.33 4.307755318 48.64 105.7877969 7.61255 4-5 49.42 8.417148897 57.84 125.8023878 9.78756 5-6 55.46 2.583221033 58.04 126.2375262 11.96257 6-7 62.27 4.357299511 66.62 144.9067713 14.13758 7-8 61.91 2.721548421 64.63 140.5711436 16.31259 8-9 68.60 5.143400713 73.74 160.3899912 18.4875

10 9-10 38.86 17.49194394 56.36 122.5722111 20.662511 10-11 11.54 74.31034399 85.85 186.7298137 22.837512 11-12 11.76 66.76816164 78.53 170.8091863 25.012513 12-13 11.93 66.76816164 78.70 171.1761677 27.187514 13-14 12.07 66.76816164 78.83 171.4622691 29.362515 14-15 12.16 66.76816164 78.93 171.6684087 31.537516 15-16 12.22 66.76816164 78.99 171.7939438 33.712517 16-17 12.24 66.76816164 79.00 171.8355695 35.887518 17-18 12.26 67.51796924 79.78 173.510689 38.062519 18-19 12.26 65.26854643 77.53 168.6171308 40.237520 19-20 12.26 67.51796924 79.77 173.5085619 42.412521 20-21 12.26 66.76816164 79.02 171.8766668 44.587522 21-22 12.26 66.76816164 79.02 171.8756033 46.762523 22-23 12.25 66.76816164 79.02 171.8745398 48.937524 23-24 12.25 66.76816164 79.02 171.8734762 51.112525 24-25 12.25 66.76816164 79.02 171.8724127 53.287526 25-26 12.25 66.76816164 79.02 171.8713492 55.462527 26-27 12.25 66.76816164 79.02 171.8702857 57.637528 27-28 12.23 72.46669941 84.70 184.219246 59.812529 28-29 12.17 55.05263839 67.22 146.2064994 61.987530 29-30 12.06 72.78514711 84.84 184.5349043 64.162531 30-31 11.90 66.76816164 78.67 171.0964789 66.337532 31-32 11.62 66.76816164 78.39 170.4939571 68.512533 32-33 11.22 66.76816164 77.99 169.6212542 70.687534 33-34 10.79 66.76816164 77.56 168.6994358 72.862535 34-35 10.21 66.76816164 76.98 167.422012 75.037536 35-36 9.37 66.76816164 76.14 165.6038129 77.212537 36-37 8.41 71.01119054 79.43 172.7506304 79.387538 37-38 10.82 5.733822839 16.55 35.99976985 81.562539 38-39 9.18 0 9.18 9.960820816 83.737540 39-40 16.02 0 16.02 19.8478882 85.9125

797.8806938 1881.625777 5827.926575

S1 S2 S4

Berat total = h == 5827.93 ton midship (m)=

LCG terhadap AP

st (m)

S4

LCG == 2057.67 / 5827.93= 0.3531 m , di depan midship

Berat DWT Kapal == 1881.63 x 2.18= 4092.54 ton

Berat LWT Kapal == 797.88 x 2.18= 1735.39 ton

S5/S

4

S2 x h

S1 x h

REKAPITULASI LWT DWT

Momen

(ton.m)h = 2.175 m

-42.4125 -4348.83639-40.2375 -1375.82408-38.0625 -2445.39048-35.8875 -3796.45956-33.7125 -4241.113-31.5375 -3981.21598-29.3625 -4254.82507-27.1875 -3821.77797-25.0125 -4011.75465-22.8375 -2799.24287-20.6625 -3858.30478-18.4875 -3157.83483-16.3125 -2792.31124-14.1375 -2424.04783-11.9625 -2053.58334-9.7875 -1681.43323-7.6125 -1308.09827-5.4375 -943.464371-3.2625 -550.113389-1.0875 -188.6905611.0875 186.91587523.2625 560.74415585.4375 934.567817.6125 1308.3868389.7875 1682.201239

11.9625 2056.01101514.1375 2429.81616316.3125 3005.07645118.4875 2702.99265720.6625 3812.9524622.8375 3907.41583825.0125 4264.48010327.1875 4611.57784929.3625 4953.43718431.5375 5280.07170533.7125 5582.91854235.8875 6199.58824938.0625 1370.2412440.2375 400.798527642.4125 841.7985585

2057.670573S5

2.18 m , (jarak antar station)

43.5 m

Lengan terhadap

midship (m)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

100.00

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 400.00

10.00

20.00

30.00

40.00

50.00

60.00

70.00

80.00

90.00

100.00

PENYEBARAN GAYA LINTANG DAN MOMEN PADA AIR TENANG

KONDISI AIR TENANG (MUATAN PENUH)1. Penyebaran Gaya Tekan ke AtasPenyebaran gaya tekan ke atas pada sarat ( T ) = 6 [m]

a(x) = 1.025 x 1.004 x Area [ton/m]b = jarak station

= L/ 40 = 2.175 [m]

StationArea a (x)

[ton/m] [ton/m] [ton]0 1.638 1.69 0.00 0.00 -43.50 0.00

1 4.782 4.92 3.30 7.18 -41.33 -296.91

2 17.818 18.34 11.63 25.29 -39.15 -990.20

3 29.654 30.52 24.43 53.13 -36.98 -1964.38

4 39.949 41.11 35.81 77.90 -34.80 -2710.765 50.665 52.14 46.63 101.41 -32.63 -3308.526 58.896 60.61 56.37 122.61 -30.45 -3733.617 65.171 67.07 63.84 138.85 -28.28 -3925.95

8 70.082 72.12 69.59 151.37 -26.10 -3950.70

9 73.839 75.99 74.05 161.07 -23.93 -3853.55

10 76.659 78.89 77.44 168.43 -21.75 -3663.3311 78.771 81.06 79.98 173.95 -19.58 -3405.0512 80.375 82.71 81.89 178.11 -17.40 -3099.0713 81.626 84.00 83.36 181.30 -15.23 -2760.3314 82.529 84.93 84.47 183.71 -13.05 -2397.4515 83.080 85.50 85.21 185.34 -10.88 -2015.5816 83.266 85.69 85.59 186.17 -8.70 -1619.6417 83.464 85.89 85.79 186.60 -6.53 -1217.5318 83.464 85.89 85.89 186.82 -4.35 -812.6519 83.464 85.89 85.89 186.82 -2.18 -406.3320 83.464 85.89 85.89 186.82 0.00 0.0021 83.464 85.89 85.89 186.82 2.18 406.3322 83.464 85.89 85.89 186.82 4.35 812.6523 83.464 85.89 85.89 186.82 6.53 1218.9824 83.464 85.89 85.89 186.82 8.70 1625.3025 83.464 85.89 85.89 186.82 10.88 2031.6326 83.464 85.89 85.89 186.82 13.05 2437.9527 83.271 85.69 85.79 186.60 15.23 2840.9928 82.678 85.08 85.39 185.72 17.40 3231.5429 81.638 84.01 84.55 183.89 19.58 3599.7030 80.111 82.44 83.23 181.02 21.75 3937.1931 77.490 79.75 81.09 176.38 23.93 4219.8632 73.692 75.84 77.79 169.20 26.10 4416.0033 69.681 71.71 73.77 160.46 28.28 4536.8834 64.119 65.99 68.85 149.74 30.45 4559.6435 56.202 57.84 61.91 134.66 32.63 4393.1936 47.136 48.51 53.17 115.65 34.80 4024.6437 38.099 39.21 43.86 95.39 36.98 3527.0938 28.212 29.03 34.12 74.21 39.15 2905.4039 17.568 18.08 23.56 51.23 41.33 2117.2640 0.000 0.00 1.81 3.93 43.50 171.05

5831.8 10881.72

a(x)rata

a(x)rata

x bLengan thd midship (m) Momen thd

midship [ton/m][m2]

S1 = S

2 =

2. Koreksi Berat dan Titik Berat Berdasarkan perhitungan penyebaran gaya tekan ke atas pada kondisi air tenang:

5831.84 [ton]

= 10881.721/5831.84= 0.292 m ( Didepan Midship )

Berdasarkan perhitungan LWT dan DWT:Berat (W) = 5827.93 [ton]

0.353 [m] , ( Di depan midship)

[(B - W)/B]x100%= [(5831.842 - 5827.93)/5831.842] x 100%= 0.067% < 0.5%; Memenuhi

87.000 m= [(0.292 - 0.353)/87.00] x 100%= 0.070% < 0.1%; Memenuhi

PENYEBARAN GAYA LINTANG DAN MOMEN PADA AIR TENANGf(x)

Station q(x) a(x) [ton/m] Σf(x) ΣΣf(x)[ton/m] [ton/m] [2] + [3]

[1] [2] [3] [4] [5] [6]0 0.000

-40.247 3.303 -36.9431 -36.943 -36.943

-11.123 11.629 0.5062 -36.438 -110.325

-29.539 24.426 -5.1123 -41.550 -188.312

-48.638 35.814 -12.8244 -54.374 -284.237

-57.840 46.626 -11.2155 -65.589 -404.200

-58.040 56.375 -1.6666 -67.255 -537.043

-66.624 63.839 -2.7857 -70.040 -674.338

-64.630 69.594 4.9648 -65.076 -809.453

-73.743 74.054 0.3129 -64.764 -939.293

-56.355 77.439 21.08410 -43.681 -1047.738

-85.853 79.977 -5.87611 -49.557 -1140.976

-78.533 81.888 3.35512 -46.201 -1236.734

-78.702 83.357 4.65613 -41.546 -1324.481

-78.833 84.466 5.63214 -35.913 -1401.941

-78.928 85.214 6.28615 -29.627 -1467.481

-78.986 85.594 6.60816 -23.020 -1520.128

-79.005 85.791 6.78617 -16.234 -1559.382

-79.775 85.893 6.11818 -10.116 -1585.731

-77.525 85.893 8.36719 -1.748 -1597.595

-79.774 85.893 6.11920 4.370 -1594.974

-79.024 85.893 6.86921 11.239 -1579.365

Buoyancy (B) = S1 =

Titik berat Bouyancy (XB) = S

2 / S

1

Titik berat (XW

) =

Koreksi berat =

Koreksi Titik Berat = [(XB - X

W)/Lwl] x 100 %

-79.023 85.893 6.86922 18.108 -1550.018

-79.023 85.893 6.87023 24.978 -1506.931

-79.022 85.893 6.87024 31.848 -1450.105

-79.022 85.893 6.87125 38.719 -1379.537

-79.021 85.893 6.87126 45.590 -1295.228

-79.021 85.793 6.77227 52.363 -1197.274

-84.699 85.389 0.69028 53.053 -1091.858

-67.221 84.548 17.32729 70.380 -968.424

-84.844 83.228 -1.61630 68.764 -829.280

-78.665 81.094 2.42931 71.193 -689.322

-78.388 77.791 -0.59732 70.596 -547.533

-77.987 73.773 -4.21433 66.382 -410.556

-77.563 68.847 -8.71634 57.666 -286.509

-76.976 61.911 -15.06435 42.601 -186.242

-76.140 53.173 -22.96736 19.634 -124.006

-79.426 43.858 27.30637 46.941 -57.431

-16.552 34.120 24.94338 71.884 61.393 h Vmax Qmax VFP

-9.177 23.556 -55.870 2.175 70.0398020837 152.3365695321 1.80

39 16.014 149.291-16.022 1.808 -14.214 h Mmax Mswmax MFP

40 1.800 167.105 2.175 1613.8403609522 3817.2367787648 45.39

IV.3. PENYEBARAN GAYA LINTANG DAN MOMEN SETELAH DIKOREKSIq(x) a(x) f(x) Σf(x) ΔΣf(x)= Σf '(x) ΣΣf(x) ΔΣf(x)= ΣΣf '(x) Q(x)

Station [ton/m] [ton/m] [7]=[5] + [6] [8] + [9] [7] * b[ton/m] [ton/m] [2] + [3] [ton]

[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11]

0 0.00 0.00 0.00 0.00 0.00 0.00 0.00-40.247 3.303 -36.94

1 -36.94 -0.04 -36.99 -36.988 1.13 -35.85 -80.45-11.123 11.629 0.506

-x/L.Σf(x)FP

-x/l.ΣΣf(x)FP

2 -36.438 -0.09 -36.53 -110.505 2.27 -108.24 -79.45-29.539 24.426 -5.1124122366

3 -41.550 -0.13 -41.69 -188.717 3.40 -185.31 -90.67-48.638 35.814 -12.824049693

4 -54.374 -0.18 -54.55 -284.957 4.54 -280.42 -118.66-57.840 46.63 -11.214641698

5 -65.589 -0.22 -65.81 -405.325 5.67 -399.65 -143.15-58.040 56.375 -1.6657322752

6 -67.255 -0.27 -67.52 -538.663 6.81 -531.85 -146.87-66.624 63.839 -2.7852309406

7 -70.040 -0.31 -70.35 -676.543 7.94 -668.60 -153.02-64.630 69.594 4.9639173937

8 -65.076 -0.36 -65.44 -812.333 9.08 -803.26 -142.32-73.743 74.054 0.31

9 -64.764 -0.40 -65.17 -942.938 10.21 -932.73 -141.74-56.355 77.439 21.0836034182

10 -43.681 -0.45 -44.13 -1052.238 11.35 -1040.89 -95.98-85.853 79.977 -5.8761785104

11 -49.557 -0.49 -50.05 -1146.421 12.48 -1133.94 -108.86-78.533 81.888 3.35541

12 -46.201 -0.54 -46.74 -1243.214 13.62 -1229.60 -101.66-78.702 83.357 4.6556195325

13 -41.546 -0.58 -42.13 -1332.086 14.75 -1317.33 -91.63

-78.833 84.466 5.6324193327

14 -35.913 -0.63 -36.54 -1410.761 15.89 -1394.87 -79.48-78.928 85.214 6.2860040274

15 -29.627 -0.67 -30.30 -1477.606 17.02 -1460.58 -65.91-78.986 85.594 6.60781882

16 -23.020 -0.72 -23.74 -1531.648 18.16 -1513.49 -51.63-79.005 85.791 6.786061976

17 -16.234 -0.76 -17.00 -1572.387 19.29 -1553.10 -36.97-79.775 85.893 6.1175671679

18 -10.116 -0.81 -10.93 -1600.311 20.43 -1579.88 -23.76-77.525 85.893 8.3674789538

19 -1.748 -0.85 -2.60 -1613.840 21.56 -1592.28 -5.66-79.774 85.893 6.119

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

-5000.000

-4000.000

-3000.000

-2000.000

-1000.000

0.000

1000.000

2000.000

3000.000

4000.000

Q (x) [1 : 20]

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

-5000.000

-4000.000

-3000.000

-2000.000

-1000.000

0.000

1000.000

2000.000

3000.000

4000.000

Q (x) [1 : 20]

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

-5000.000

-4000.000

-3000.000

-2000.000

-1000.000

0.000

1000.000

2000.000

3000.000

4000.000

Q (x) [1 : 20]

PERHITUNGAN GAYA LINTANG DAN MOMEN PADA AIR BERGELOMBANG

Gelombang HoggingMT = Msw + Mwv [ kNm ]

Msw = still water bending moment [ kNm ]

Mwv = [ kNm ]

Keterangan :

MT = total bending moment in the seaway

Msw = still water bending moment of the actual loading or ballast condition considered ( positif sign for hogging, negativ sign for sagging )

Mwv = vertical wave bending moment ( positif sign for hogging, negativ sign for sagging )

Data Kapal :

L = 87.00 m T = 6 mB = 14.00 m H = 7.45 mCb = 0.745 Vo = 12 knot

Rumus untuk perhitungan :

co = (L/25 + 4,1)CRW ; for L <90 m

c1 = hogging / sagging factor as follows :c1H= 0.19. Cb ; for hogging condition

c1S= -0.11 ( Cb-0.7) ; for sagging condition

cv = 3√(Vo/1.4√L)

cL= 0.983192 ; for L < 90 m

CM= Distribution factor

Hogging condition

untuk x/L <0.4

1 untuk 0.4 ≤ x/L ≤ 0.65

[1-x/L]/0.35 untuk x/L > 0.65

Sagging condition

untuk x/L <0.4

cv untuk 0.4 ≤ x/L ≤ 0.65

cv.[(x/L-0.65cv )/ 1-0.65cv] untuk x/L > 0.65

L2.B.co.c1.cL.cM

≥ 1.0

CMH

= 2.5 . x/LC

MH =

CMH

=

CMS

= cv.2.5 . x/LC

MS =

CMS

=

Hasil Perhitungan :

co = 5.69

c1H = 0.142

cv = 1 damage condition

Tabel Kondisi Hogging

St. x/L

(kNm) (Ton m) (Ton m) (Ton m)

0 0.000 0.000 0.00 0.00 0.00 0.00

1 0.025 0.063 5,239.93 534.14 -84.81 618.95

2 0.050 0.125 10,479.85 1,068.28 -256.01 1,324.29

3 0.075 0.188 15,719.78 1,602.42 -438.32 2,040.75

4 0.100 0.250 20,959.71 2,136.57 -663.28 2,799.84

5 0.125 0.313 26,199.64 2,670.71 -945.30 3,616.01

6 0.150 0.375 31,439.56 3,204.85 -1,258.00 4,462.85

7 0.175 0.438 36,679.49 3,738.99 -1,581.45 5,320.44

8 0.200 0.500 41,919.42 4,273.13 -1,899.95 6,173.08

9 0.225 0.563 47,159.35 4,807.27 -2,206.19 7,013.46

10 0.250 0.625 52,399.27 5,341.41 -2,462.03 7,803.45

11 0.275 0.688 57,639.20 5,875.56 -2,682.12 8,557.67

12 0.300 0.750 62,879.13 6,409.70 -2,908.38 9,318.08

13 0.325 0.813 68,119.06 6,943.84 -3,115.91 10,059.75

14 0.350 0.875 73,358.98 7,477.98 -3,299.31 10,777.29

15 0.375 0.938 78,598.91 8,012.12 -3,454.74 11,466.86

16 0.400 1.000 83,838.84 8,546.26 -3,579.88 12,126.14

17 0.425 1.000 83,838.84 8,546.26 -3,673.56 12,219.82

18 0.450 1.000 83,838.84 8,546.26 -3,736.92 12,283.18

19 0.475 1.000 83,838.84 8,546.26 -3,766.24 12,312.50

20 0.500 1.000 83,838.84 8,546.26 -3,761.50 12,307.77

21 0.525 1.000 83,838.84 8,546.26 -3,726.26 12,272.53

22 0.550 1.000 83,838.84 8,546.26 -3,658.74 12,205.00

23 0.575 1.000 83,838.84 8,546.26 -3,558.93 12,105.20

24 0.600 1.000 83,838.84 8,546.26 -3,426.84 11,973.10

25 0.625 1.000 83,838.84 8,546.26 -3,262.46 11,808.72

26 0.650 1.000 83,838.84 8,546.26 -3,065.78 11,612.05

27 0.675 0.929 77,850.35 7,935.82 -2,837.05 10,772.87

28 0.700 0.857 71,861.86 7,325.37 -2,590.88 9,916.25

29 0.725 0.786 65,873.37 6,714.92 -2,302.30 9,017.22

30 0.750 0.714 59,884.88 6,104.47 -1,976.78 8,081.25

31 0.775 0.643 53,896.40 5,494.03 -1,649.54 7,143.57

32 0.800 0.571 47,907.91 4,883.58 -1,318.19 6,201.77

33 0.825 0.500 41,919.42 4,273.13 -998.43 5,271.56

34 0.850 0.429 35,930.93 3,662.68 -709.47 4,372.15

35 0.875 0.357 29,942.44 3,052.24 -476.96 3,529.20

cMH MW

VMW

VM

SWM

T

36 0.900 0.286 23,953.95 2,441.79 -334.63 2,776.42

37 0.925 0.214 17,965.47 1,831.34 -182.25 2,013.59

38 0.950 0.143 11,976.98 1,220.89 -72.65 1,293.54

39 0.975 0.071 5,988.49 610.45 -36.41 646.86

40 1.000 0.000 0.00 0.00 0.00 0.00

Jadi :

12312.5016 Ton m

Data Untuk Grafik Skala

St. MWV MSW MT 100 MWV MSW

(kNm) (kNm) (kNm) 100 (kNm) (kNm)

0 0 0 0 0.000 0.0001 5.341414 0.848051 6.18946528 534.141 84.8052 10.68283 2.560097 13.2429256 1068.283 256.0103 16.02424 4.383235 20.4074779 1602.424 438.3234 21.36566 6.632755 27.9984123 2136.566 663.2765 26.70707 9.452994 36.1600657 2670.707 945.2996 32.04849 12.58002 44.6285089 3204.849 1258.0027 37.3899 15.81446 53.2043601 3738.990 1581.4468 42.73131 18.99949 61.7308074 4273.131 1899.9499 48.07273 22.06187 70.1346006 4807.273 2206.187

10 53.41414 24.62032 78.0344588 5341.414 2462.03211 58.75556 26.82119 85.5767427 5875.556 2682.11912 64.09697 29.08381 93.1807794 6409.697 2908.38113 69.43839 31.15907 100.597459 6943.839 3115.90714 74.7798 32.99312 107.772923 7477.980 3299.31215 80.12121 34.54739 114.668608 8012.121 3454.73916 85.46263 35.79881 121.261443 8546.263 3579.88117 85.46263 36.73556 122.198184 8546.263 3673.55618 85.46263 37.36922 122.831844 8546.263 3736.92219 85.46263 37.66239 123.125016 8546.263 3766.23920 85.46263 37.61505 123.077676 8546.263 3761.50521 85.46263 37.26264 122.725273 8546.263 3726.26422 85.46263 36.58742 122.050049 8546.263 3658.74223 85.46263 35.58935 121.051979 8546.263 3558.93524 85.46263 34.26841 119.731041 8546.263 3426.84125 85.46263 32.62458 118.087211 8546.263 3262.45826 85.46263 30.65784 116.120468 8546.263 3065.78427 79.35816 28.37051 107.728662 7935.816 2837.051

M(T) max =

28 73.25368 25.90878 99.1624656 7325.368 2590.87829 67.14921 23.02302 90.1722291 6714.921 2302.30230 61.04473 19.76777 80.8125044 6104.473 1976.77731 54.94026 16.49543 71.435689 5494.026 1649.54332 48.83579 13.18189 62.0176812 4883.579 1318.18933 42.73131 9.984288 52.7156026 4273.131 998.42934 36.62684 7.094656 43.7214965 3662.684 709.46635 30.52237 4.769633 35.2920008 3052.237 476.96336 24.41789 3.346298 27.7641923 2441.789 334.63037 18.31342 1.822453 20.1358735 1831.342 182.24538 12.20895 0.726464 12.935411 1220.895 72.64639 6.104473 0.364113 6.46858675 610.447 36.41140 0 0 0 0.000 0.000

still water bending moment of the actual loading or ballast condition considered

vertical wave bending moment ( positif sign for hogging, negativ sign for sagging )

Hasil Perhitungan :

Co = 5.69c1S = -0.15895cv = 1 damage condition

Tabel Kondisi Sagging

St. x/L CMS MWV MWV MSW

(KNm) (Ton m) (Ton m)

0 0.000 0.000 0.00 0.00 0.001 0.025 0.063 -5,884.04 -599.80 -84.812 0.050 0.125 -11,768.09 -1,199.60 -256.013 0.075 0.188 -17,652.13 -1,799.40 -438.324 0.100 0.250 -23,536.18 -2,399.20 -663.285 0.125 0.313 -29,420.22 -2,999.00 -945.306 0.150 0.375 -35,304.27 -3,598.80 -1,258.007 0.175 0.438 -41,188.31 -4,198.60 -1,581.458 0.200 0.500 -47,072.35 -4,798.41 -1,899.959 0.225 0.563 -52,956.40 -5,398.21 -2,206.19

10 0.250 0.625 -58,840.44 -5,998.01 -2,462.0311 0.275 0.688 -64,724.49 -6,597.81 -2,682.1212 0.300 0.750 -70,608.53 -7,197.61 -2,908.3813 0.325 0.813 -76,492.58 -7,797.41 -3,115.9114 0.350 0.875 -82,376.62 -8,397.21 -3,299.3115 0.375 0.938 -88,260.66 -8,997.01 -3,454.7416 0.400 1.000 -94,144.71 -9,596.81 -3,579.8817 0.425 1.000 -94,144.71 -9,596.81 -3,673.5618 0.450 1.000 -94,144.71 -9,596.81 -3,736.9219 0.475 1.000 -94,144.71 -9,596.81 -3,766.2420 0.500 1.000 -94,144.71 -9,596.81 -3,761.5021 0.525 1.000 -94,144.71 -9,596.81 -3,726.2622 0.550 1.000 -94,144.71 -9,596.81 -3,658.7423 0.575 1.000 -94,144.71 -9,596.81 -3,558.9324 0.600 1.000 -94,144.71 -9,596.81 -3,426.8425 0.625 1.000 -94,144.71 -9,596.81 -3,262.4626 0.650 1.000 -94,144.71 -9,596.81 -3,065.7827 0.675 0.929 -87,420.09 -8,911.32 -2,837.0528 0.700 0.857 -80,695.46 -8,225.84 -2,590.8829 0.725 0.786 -73,970.84 -7,540.35 -2,302.3030 0.750 0.714 -67,246.22 -6,854.86 -1,976.7831 0.775 0.643 -60,521.60 -6,169.38 -1,649.5432 0.800 0.571 -53,796.98 -5,483.89 -1,318.1933 0.825 0.500 -47,072.35 -4,798.41 -998.4334 0.850 0.429 -40,347.73 -4,112.92 -709.4735 0.875 0.357 -33,623.11 -3,427.43 -476.96

36 0.900 0.286 -26,898.49 -2,741.95 -334.6337 0.925 0.214 -20,173.87 -2,056.46 -182.2538 0.950 0.143 -13,449.24 -1,370.97 -72.6539 0.975 0.071 -6,724.62 -685.49 -36.4140 1.000 0.000 0.00 0.00 0.00

Jadi :

13363.0489 Ton m

Data Untuk Grafik

MT St. MWV MSW MT

(kNm) (kNm) (kNm) (kNm)

0.000 0 0 0 0618.947 1 -5.99800639 -0.84805097 -6.846057

1324.293 2 -11.9960128 -2.56009703 -14.556112040.748 3 -17.9940192 -4.38323499 -22.377252799.841 4 -23.9920255 -6.63275511 -30.624783616.007 5 -29.9900319 -9.45299417 -39.443034462.851 6 -35.9880383 -12.5800231 -48.568065320.436 7 -41.9860447 -15.81446 -57.80056173.081 8 -47.9840511 -18.9994929 -66.983547013.460 9 -53.9820575 -22.0618718 -76.043937803.446 10 -59.9800639 -24.6203157 -84.600388557.674 11 -65.9780702 -26.8211853 -92.799269318.078 12 -71.9760766 -29.0838077 -101.0599

10059.746 13 -77.974083 -31.159073 -109.133210777.292 14 -83.9720894 -32.9931229 -116.965211466.861 15 -89.9700958 -34.5473935 -124.517512126.144 16 -95.9681022 -35.7988137 -131.766912219.818 17 -95.9681022 -36.7355556 -132.703712283.184 18 -95.9681022 -37.3692151 -133.337312312.502 19 -95.9681022 -37.6623867 -133.630512307.768 20 -95.9681022 -37.6150474 -133.583112272.527 21 -95.9681022 -37.2626445 -133.230712205.005 22 -95.9681022 -36.5874198 -132.555512105.198 23 -95.9681022 -35.5893499 -131.557511973.104 24 -95.9681022 -34.2684119 -130.236511808.721 25 -95.9681022 -32.6245826 -128.592711612.047 26 -95.9681022 -30.6578387 -126.625910772.866 27 -89.1132377 -28.3705063 -117.4837

M(T) max =

9916.247 28 -82.2583733 -25.9087837 -108.16729017.223 29 -75.4035088 -23.0230207 -98.426538081.250 30 -68.5486444 -19.7677694 -88.316417143.569 31 -61.69378 -16.4954276 -78.189216201.768 32 -54.8389155 -13.1818932 -68.020815271.560 33 -47.9840511 -9.98428813 -57.968344372.150 34 -41.1291866 -7.09465559 -48.223843529.200 35 -34.2743222 -4.76963332 -39.043962776.419 36 -27.4194578 -3.34629832 -30.765762013.587 37 -20.5645933 -1.82245299 -22.387051293.541 38 -13.7097289 -0.72646405 -14.43619

646.859 39 -6.85486444 -0.36411326 -7.2189780.000 40 0 0 0

MT

(Ton m)

0.00684.61

1,455.612,237.733,062.483,944.304,856.815,780.056,698.357,604.398,460.049,279.93

10,105.9910,913.3211,696.5212,451.7513,176.6913,270.3713,333.7313,363.0513,358.3113,323.0713,255.5513,155.7513,023.6512,859.2712,662.5911,748.3710,816.72

9,842.658,831.647,818.926,802.085,796.834,822.383,904.40

3,076.582,238.701,443.62

721.900.00

Skala

100 MWV MSW MT

100 (kNm) (kNm) (kNm)

0.000 0.000 0.000-599.801 -84.805 -684.606

-1199.601 -256.010 -1455.611-1799.402 -438.323 -2237.725-2399.203 -663.276 -3062.478-2999.003 -945.299 -3944.303-3598.804 -1258.002 -4856.806-4198.604 -1581.446 -5780.050-4798.405 -1899.949 -6698.354-5398.206 -2206.187 -7604.393-5998.006 -2462.032 -8460.038-6597.807 -2682.119 -9279.926-7197.608 -2908.381 -10105.988-7797.408 -3115.907 -10913.316-8397.209 -3299.312 -11696.521-8997.010 -3454.739 -12451.749-9596.810 -3579.881 -13176.692-9596.810 -3673.556 -13270.366-9596.810 -3736.922 -13333.732-9596.810 -3766.239 -13363.049-9596.810 -3761.505 -13358.315-9596.810 -3726.264 -13323.075-9596.810 -3658.742 -13255.552-9596.810 -3558.935 -13155.745-9596.810 -3426.841 -13023.651-9596.810 -3262.458 -12859.268-9596.810 -3065.784 -12662.594-8911.324 -2837.051 -11748.374

-8225.837 -2590.878 -10816.716-7540.351 -2302.302 -9842.653-6854.864 -1976.777 -8831.641-6169.378 -1649.543 -7818.921-5483.892 -1318.189 -6802.081-4798.405 -998.429 -5796.834-4112.919 -709.466 -4822.384-3427.432 -476.963 -3904.396-2741.946 -334.630 -3076.576-2056.459 -182.245 -2238.705-1370.973 -72.646 -1443.619

-685.486 -36.411 -721.8980.000 0.000 0.000

-250

-200

-150

-100

-50

0

50

100

150

200

250

300

350

400

450

500 GRAFIK KONDISI HOGGING

Mwv ( Skala 1 : 100 )

Msw ( Skala 1 : 100 )

MT ( Skala 1 : 100 )

-250

-200

-150

-100

-50

0

50

100

150

200

250

300

350

400

450

500 GRAFIK KONDISI HOGGING

Mwv ( Skala 1 : 100 )

Msw ( Skala 1 : 100 )

MT ( Skala 1 : 100 )

-500

-450

-400

-350

-300

-250

-200

-150

-100

-50

0

50

100

150

200

250

300

350

400

450

500 GRAFIK KONDISI SAGGING

Mwv ( Skala 1 : 100 )

Msw ( Skala 1 : 100 )

MT ( Skala 1 : 100 )

-500

-450

-400

-350

-300

-250

-200

-150

-100

-50

0

50

100

150

200

250

300

350

400

450


Mwv ( Skala 1 : 100 )

Msw ( Skala 1 : 100 )

MT ( Skala 1 : 100 )

-500

-450

-400

-350

-300

-250

-200

-150

-100

-50

0

50

100

150

200

250

300

350

400

450


Mwv ( Skala 1 : 100 )

Msw ( Skala 1 : 100 )

MT ( Skala 1 : 100 )

PERHITUNGAN MODULUS PENAMPANG

No Nama bagian

Jml Lebar Tinggi

[n] [ b ] [ h ]

1 Pelat Keel (lunas) 1 180 1.2

2 Pelat Alas

Pelat alas 1 2 180 1.0



3 Pelat Alas Dalam

Pelat alas dalam 1 1 180 0.8





4 Pelat bilga 2 180 1

5 Pelat sisi

Pelat sisi 1 2 1.0 180



Pelat lajur sisi atas 2 1.0 180

6 Pelat Geladak kedua

Pelat geladak 1 2 150 0.8


7 Pelat Geladak

Pelat geladak 1 (PS) 1 150 0.9

Pelat geladak 2 (PS) 1 150 0.9

Pelat geladak 1 (SB) 1 150 0.9

Pelat geladak 2 (SB) 1 150 0.9

8 Pelat penutup palkah gldk 2


9 Pelat penutup palkah gldk 1


( cm ) ( cm )

10 Penumpu (Girder)

Penumpu samping 2 0.9 100

Penumpu tengah 1 1.1 100

11 Pembujur

Pembujur alas dalam

- Web 14 0.8 13

- Face 14 6.5 0.8

Pembujur alas

- Web 14 1.2 15

- Face 14 9 1.2

12 Pembujur Sisi

Pembujur 1

- Web 2 15 1

- Face 2 1 10

Pembujur 2

- Web 2 15 1

- Face 2 1 10

Pembujur 3

- Web 2 15 1

- Face 2 1 10

Pembujur 4

- Web 2 15 1

- Face 2 1 10

Pembujur 5

- Web 2 15 1

- Face 2 1 10

Pembujur 6

- Web 2 15 1

- Face 2 1 10

Pembujur 7

- Web 2 15 1

- Face 2 1 10

Pembujur 8

- Web 2 15 1

- Face 2 1 10

Pembujur 9

- Web 2 13 0.8

- Face 2 0.8 6.5

Pembujur 6

- Web 2 13 0.8

- Face 2 0.8 6.5

Pembujur 7

- Web 2 13 0.8

- Face 2 0.8 6.5

13 Pembujur geladak kedua

- Web 8 1.4 15

- Face 8 10 1.4

14 Pembujur geladak

- Web 8 1.2 13

- Face 8 6.5 1.2

15 Pembujur ambang palkah

- Web 8 1.2 13

- Face 8 6.5 1.2

16 Deck Girder

Geladak Utama

- Web 2 1.2 20

- Face 2 12 1.2

Geladak kedua

- Web 2 1.4 32

- Face 2 25 1.4

Titik Berat terhadap dasar (z1) =

= 2796549.56

8114.4

= 344.640 cm

Titik Berat terhadap deck (z2) = H - Z1

= 7.45 - 344.640338

= 400.360 cm

1744353821.550 +

= 1747074502.499

1747074502.499 -

= 783270716.452

783270716.452015

344.6403381635

= 2272719.21

783270716.452015

400.360

= 1956417.67

21

Ixx

= 3 +

4 =

cm4

INA

= IXX

- ( z1 )2. =

cm4

Modulus penampang thd bottom ( Wbot ) = INA

/ z1 =

Modulus penampang thd deck ( Wdeck ) = INA

/ z2 =

Keterangan

Bagian konstruksi memanjang

Untuk Pelat Bilga :

R

t

Z r

y

sehingga R = r + t = 115 + 1.1

diketahui r = 1.15 m

t = 11

maka :

200.606398895

73.9115555719 cm

42.1884444281 cm

A x Z = 14827.131

1095896.31688

Momen Inersia lingkaran = 0.051 * t * d3 = 87792.9254

Momen Inersia pelat bilga kiri dan kanan = 588701.976/2

Momen Inersia Individu = IX COS

2ysin2

Dimana : IX = 1/12 * b * h3

: Iy = 1/12 * h * b3

: = Sudut terhadap bidang horisontal

Luas (A) = (2*R*t)/4 = cm2

Titik Berat Z = 2*R/ =

y = R - 2*R/ =

A x Z2 =


Sudut ThdpLuas Total

Titik berat thd Base Momen Luas Momen Inersia

Bid. Horizontal

(derajat)

[ Z ]

0 216 0.60 129.60 77.76

0 360 0.50 180.00 90.00

0 360 0.50 180.00 90.00

0 300 0.50 150.00 75.00

0 144 100.40 14457.60 1451543.04

0 288 100.40 28915.20 2903086.08

0 288 100.40 28915.20 2903086.08

0 240 100.40 24096.00 2419238.40

0 160 100.40 16064.00 1612825.60

0 360 42.19 15187.84 640751.3

0 360 212.30 76428.00 16225664.40

0 360 397.40 143064.00 56853633.60

0 200 537.40 107480.00 57759752.00

0 360 677.40 243864.00 165193473.60

0 240 450.40 108096.00 48686438.40

0 240 450.40 108096.00 48686438.40

2 135 770.55 104024.25 80155885.84

2 135 762.15 102890.25 78417804.04

2 135 770.55 104024.25 80155885.84

2 135 762.15 102890.25 78417804.04

0 576 450.40 259430.40 116847452.16

0 720 872.10 627912.00 547602055.20

( cm2 ) ( cm ) ( cm3 ) ( cm4 )

[ ] [ AT

] [ AT x z ] [ A

T x z2 ]

0 180 50.60 9108.00 460864.80

0 110 50.50 5555.00 280527.50

0 145.6 93.50 13613.60 1272871.60

0 72.8 87.40 6362.72 556101.73

0 252 8.50 2142.00 18207.00

0 151.2 16.60 2509.92 41664.67

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0 168 442.50 74340.00 32895450.00

0 112 434.30 48641.60 21125046.88

0 124.8 738.50 92164.80 68063704.80

0 62.4 731.40 45639.36 33380627.90

0 124.8 821.40 102510.72 84202305.41

0 62.4 814.30 50812.32 41376472.18

0 48 766.70 36801.60 28215786.72

0 28.8 756.10 21775.68 16464591.65

0 89.6 434.00 38886.40 16876697.60

0 70 417.30 29211.00 12189750.30

8114.4 2796549.56 1744353821.5

2720680.950

344.640 8114.4

783270716.45202

1 2 3

cm3

cm3

Bagian konstruksi memanjang

= 116 cm

; dimana R = d

588701.976/2 21948.231341025

cm3

cm3


M.Inersia Individu

Io

25.92 0.00 25.92

15.00 0.00 15.00

15.00 0.00 15.00

12.50 0.00 12.50

7.68 0.00 7.68

7.68 0.00 7.68

7.68 0.00 7.68

6.40 0.00 6.40

4.27 0.00 4.27

15.00 0.00 15.00

486000.00 0.00 486000.00

486000.00 0.00 486000.00

83333.33 0.00 83333.33

486000.00 0.00 486000.00

6.40 0.00 6.40

6.40 0.00 6.40

0.05 251643.73 251643.78

0.05 251643.73 251643.78

0.05 251643.73 251643.78

0.05 251643.73 251643.78

7.68 0.00 7.68

15.00 0.00 15.00

Ix cos2 Iy sin2

[ Ix = 1/12 x b x h3 ] [ Iy = 1/12 x h x b3 ] [ Ix cos2 + Iy sin2 ]

75000.00 0.00 75000.00

91666.67 0.00 91666.67

146.47 0.00 146.47

0.28 0.00 0.28

337.50 0.00 337.50

1.30 0.00 1.30

393.75 0.00 393.75

2.29 0.00 2.29

219.70 0.00 219.70

0.94 0.00 0.94

219.70 0.00 219.70

0.94 0.00 0.94

800.00 0.00 800.00

1.73 0.00 1.73

3822.93 0.00 3822.93

5.72 0.00 5.72

2720680.950

4

PERHITUNGAN SLOPE & DEFLEKSI

1. Perhitungan Slope dan Defleksi pada Kondisi Air tenang

Data-data Perhitungan Slope dan Defleksi sebagai berikut

Ina (Momen Inersia st.20) = 783270716

= 7.8327071645

Area Midship = 103.76

E (Modulus Elastisitas) = 200 Gpa

= 200000000 KN/m2

Tabel Perhitungan Slope dan Defleksi pada Kondisi Air tenang

Sta

tion

Area Ina st I [ton m] station Area StI*Ina (slope)

Area Midsip [11]/E*[12] 1st integral

[11] [12] [13] [14] [15]

0 0.00 2.94 0.22 0 0

1 -84.81 11.72 0.88 -4.7927E-07 -5.4158E-07

2 -256.01 17.62 1.33 -9.6236E-07 -2.2410E-06

3 -438.32 33.30 2.51 -8.7184E-07 -4.6050E-06

4 -663.28 46.62 3.52 -9.4234E-07 -7.2537E-06

5 -945.30 58.62 4.43 -1.0681E-06 -1.0468E-05

6 -1258.00 70.32 5.31 -1.1849E-06 -1.4375E-05

7 -1581.45 79.08 5.97 -1.3246E-06 -1.9080E-05

8 -1899.95 85.78 6.48 -1.4670E-06 -2.4715E-05

9 -2206.19 90.90 6.86 -1.6076E-06 -3.1402E-05

10 -2462.03 94.72 7.15 -1.7216E-06 -3.9246E-05

11 -2682.12 97.56 7.36 -1.8209E-06 -4.8351E-05

12 -2908.38 99.68 7.52 -1.9326E-06 -5.8878E-05

13 -3115.91 101.28 7.65 -2.0377E-06 -7.1019E-05

14 -3299.31 102.44 7.73 -2.1333E-06 -8.4965E-05

15 -3454.74 103.68 7.83 -2.2070E-06 -1.0091E-04

16 -3579.88 103.58 7.82 -2.2892E-06 -1.1911E-04

17 -3673.56 103.76 7.83 -2.3450E-06 -1.3984E-04

18 -3736.92 103.76 7.83 -2.3855E-06 -1.6336E-04

19 -3766.24 103.76 7.83 -2.4042E-06 -1.9001E-04

20 -3761.50 103.76 7.83 -2.4012E-06 -2.2014E-04

21 -3726.26 103.76 7.83 -2.3787E-06 -2.5416E-04

22 -3658.74 103.76 7.83 -2.3356E-06 -2.9253E-04

23 -3558.93 103.76 7.83 -2.2718E-06 -3.3576E-04

24 -3426.84 103.76 7.83 -2.1875E-06 -3.8445E-04

25 -3262.46 103.76 7.83 -2.0826E-06 -4.3925E-04

26 -3065.78 103.76 7.83 -1.9570E-06 -5.0092E-04

27 -2837.05 103.54 7.82 -1.8149E-06 -5.7030E-04

28 -2590.88 102.92 7.77 -1.6674E-06 -6.4838E-04

cm 4

m 4

m2

M(x) M(x)/E*I(x)

m2

m4

29 -2302.30 102.92 7.77 -1.4817E-06 -7.3623E-04

30 -1976.78 99.80 7.53 -1.3119E-06 -8.3509E-04

31 -1649.54 96.46 7.28 -1.1327E-06 -9.4642E-04

32 -1318.19 91.72 6.92 -9.5192E-07 -1.0718E-03

33 -998.43 86.44 6.53 -7.6505E-07 -1.2131E-03

34 -709.47 78.58 5.93 -5.9801E-07 -1.3723E-03

35 -476.96 67.86 5.12 -4.6554E-07 -1.5519E-03

36 -334.63 56.00 4.23 -3.9579E-07 -1.7546E-03

37 -182.25 43.74 3.30 -2.7597E-07 -1.9835E-03

38 -72.65 30.24 2.28 -1.5912E-07 -2.2419E-03

39 -36.41 13.52 1.02 -1.7838E-07 -2.5337E-03

40 0.00 0.02 0.00 0 -2.8633E-03

2. Perhitungan Slope dan Defleksi pada Kondisi Sagging

Data-data Perhitungan Slope dan Defleksi


= 7.8327071645



= 200000000 KN/m2

Tabel Perhitungan Slope dan Defleksi pada Kondisi Sagging

Sta

tion

Ina st I [ton m] Area St I*Ina (slope) 2nd integral


[11] [12] [13] [14] [15]

0 0.00 0.22 0 0 0

1 -599.80 0.88 -3.3897478E-006 -3.8304150292E-006 -4.3283689830E-006

2 -1199.60 1.33 -4.5094034E-006 -1.3254409908E-005 -2.4196909130E-005

3 -1799.40 2.51 -3.5790851E-006 -2.4117475231E-005 -6.9572737524E-005

4 -2399.20 3.52 -3.4086525E-006 -3.5148890425E-005 -0.0001455882

5 -2999.00 4.43 -3.3885913E-006 -4.7399131622E-005 -0.0002577939

6 -3598.80 5.31 -3.3897478E-006 -6.1220541928E-005 -0.0004140474

7 -4198.60 5.97 -3.5166276E-006 -7.6983416596E-005 -0.000624044

8 -4798.41 6.48 -3.7050916E-006 -9.5151803417E-005 -0.0008996825

9 -5398.21 6.86 -3.9334499E-006 -0.0001161531 -0.0012554158

10 -5998.01 7.15 -4.1942403E-006 -0.0001404373 -0.0017085669

11 -6597.81 7.36 -4.4793592E-006 -0.0001684953 -0.0022797744

12 -7197.61 7.52 -4.7826458E-006 -0.0002008657 -0.0029935231

13 -7797.41 7.65 -5.0993481E-006 -0.000238145 -0.0038787632

14 -8397.21 7.73 -5.4294204E-006 -0.0002810013 -0.0049696377

15 -8997.01 7.83 -5.7476627E-006 -0.0003301616 -0.0063063046

16 -9596.81 7.82 -6.1367591E-006 -0.000386512 -0.0079359653

cm 4

m 4

m2

M(x) M(x)/E*I(x)

m4

17 -9596.81 7.83 -6.1261132E-006 -0.0004506156 -0.009913595

18 -9596.81 7.83 -6.1261132E-006 -0.0005230406 -0.0123025938

19 -9596.81 7.83 -6.1261132E-006 -0.0006048809 -0.0151764823

20 -9596.81 7.83 -6.1261132E-006 -0.0006973605 -0.0186209578

21 -9596.81 7.83 -6.1261132E-006 -0.0008018623 -0.022735804

22 -9596.81 7.83 -6.1261132E-006 -0.0009199494 -0.0276371059

23 -9596.81 7.83 -6.1261132E-006 -0.0010533879 -0.0334598008

24 -9596.81 7.83 -6.1261132E-006 -0.0012041733 -0.0403606191

25 -9596.81 7.83 -6.1261132E-006 -0.0013745609 -0.0485214693

26 -9596.81 7.83 -6.1261132E-006 -0.0015670988 -0.0581533357

27 -8911.32 7.82 -5.7006206E-006 -0.0017841859 -0.069500221

28 -8225.84 7.77 -5.2938108E-006 -0.0020285537 -0.0828436455

29 -7540.35 7.77 -4.8526599E-006 -0.0023037312 -0.0985088015

30 -6854.86 7.53 -4.5494239E-006 -0.0026138406 -0.1168718019

31 -6169.38 7.28 -4.2362560E-006 -0.0029635677 -0.1383676076

32 -5483.89 6.92 -3.9601614E-006 -0.0033580935 -0.1634988738

33 -4798.41 6.53 -3.6768019E-006 -0.0038032754 -0.1928460743

34 -4112.92 5.93 -3.4667791E-006 -0.0043057735 -0.2270792893

35 -3427.43 5.12 -3.3453618E-006 -0.0048732218 -0.2669718615

36 -2741.95 4.23 -3.2430893E-006 -0.0055141855 -0.3134159737

37 -2056.46 3.30 -3.1140776E-006 -0.0062382133 -0.3674402609

38 -1370.97 2.28 -3.0028605E-006 -0.0070560931 -0.4302300611

39 -685.49 1.02 -3.3582286E-006 -0.0079805733 -0.503151402

40 0.00 0.00 0 -0.0090218426 -0.5877738141

2. Perhitungan Slope dan Defleksi pada Kondisi Momen Total

Data-data Perhitungan Slope dan Defleksi


= 7.832707E-008



= 200000000 KN/m2

Tabel Perhitungan Slope dan Defleksi pada Kondisi Momen Total

Sta

tion

Ina st I [ton m] Area St I*Ina (slope) 2nd integral


[11] [12] [13] [14] [15]

0 0.00 0.22 0 0 0

1 -684.61 0.88 -0.000003869 -0.000004372 -4.9403519134E-006

2 -1455.61 1.33 -5.4717657E-006 -1.5495440044E-005 -2.8032796825E-005

3 -2237.73 2.51 -4.4509287E-006 -2.8722491975E-005 -8.1643323594E-005

cm 4

m 4

m2

M(x) M(x)/E*I(x)

m4

4 -3062.48 3.52 -0.000004351 -4.2402592105E-005 -0.0001726283

5 -3944.30 4.43 -4.4566907E-006 -5.7867616250E-005 -0.0003083753

6 -4856.81 5.31 -4.5746722E-006 -7.5595846437E-005 -0.0004992778

7 -5780.05 5.97 -4.8412003E-006 -9.6063242394E-005 -0.0007581587

8 -6698.35 6.48 -5.1721386E-006 -0.0001198665 -0.00110072

9 -7604.39 6.86 -0.000005541 -0.000147555 -0.001546

10 -8460.04 7.15 -5.9158711E-006 -0.0001796835 -0.0021167595

11 -9279.93 7.36 -6.3002934E-006 -0.0002168466 -0.0028400172

12 -10105.99 7.52 -6.7151983E-006 -0.0002597441 -0.0037477669

13 -10913.32 7.65 -7.1370888E-006 -0.000309164 -0.0048778428

14 -11696.52 7.73 -7.5626712E-006 -0.000365966 -0.0062748593

15 -12451.75 7.83 -7.9546934E-006 -0.0004310762 -0.0079912487

16 -13176.69 7.82 -8.4259437E-006 -0.0005056263 -0.0100885849

17 -13270.37 7.83 -8.4711234E-006 -0.0005904514 -0.0126386686

18 -13333.73 7.83 -8.5115730E-006 -0.0006864005 -0.0157245381

19 -13363.05 7.83 -8.5302876E-006 -0.0007948898 -0.0194425861

20 -13358.31 7.83 -8.5272657E-006 -0.0009175006 -0.0239051234

21 -13323.07 7.83 -8.5047701E-006 -0.0010560218 -0.0292428697

22 -13255.55 7.83 -8.4616672E-006 -0.0012124767 -0.0356078461

23 -13155.75 7.83 -0.000008398 -0.0013891501 -0.0431767044

24 -13023.65 7.83 -8.3136335E-006 -0.0015886237 -0.0521545603

25 -12859.27 7.83 -8.2086999E-006 -0.001813815 -0.0627794089

26 -12662.59 7.83 -8.0831530E-006 -0.0020680207 -0.0753272065

27 -11748.37 7.82 -7.5154968E-006 -0.0023544899 -0.0901171804

28 -10816.72 7.77 -6.9611936E-006 -0.0026769323 -0.1075179209

29 -9842.65 7.77 -6.3343269E-006 -0.0030399574 -0.1279553359

30 -8831.64 7.53 -5.8613676E-006 -0.003448933 -0.1519219758

31 -7818.92 7.28 -5.3689286E-006 -0.0039099845 -0.1799874094

32 -6802.08 6.92 -4.9120844E-006 -0.0044299001 -0.2128098422

33 -5796.83 6.53 -4.4418530E-006 -0.005016357 -0.2511493922

34 -4822.38 5.93 -4.0647877E-006 -0.0056780959 -0.295883545

35 -3904.40 5.12 -3.8109042E-006 -0.0064251479 -0.3480250714

36 -3076.58 4.23 -3.6388792E-006 -0.0072688354 -0.4087425319

37 -2238.70 3.30 -0.00000339 -0.0082217267 -0.4793833963

38 -1443.62 2.28 -0.000003162 -0.009297955 -0.5615004781

39 -721.90 1.02 -3.5366093E-006 -0.0105142585 -0.6568833415

40 0.00 0.00 0 -0.0118851085 -0.7675894607

PERHITUNGAN SLOPE & DEFLEKSI

Base Line

2nd integral for (defleksi)

Deflection [16] - [17]

m

[16] [17] [18] DATA GRAFIK SLOPE & DEFLEKSI AIR TENANG

0 0 0 Station -6.11983E-07 -0.0044953912 4.49478E-03 0 0-3.83589E-06 -0.0089907823 8.98695E-03 1 -5.4157781E-007-1.20706E-05 -0.0134861735 1.34741E-02 2 -0.000002241-2.70401E-05 -0.0179815647 0.0179545245 3 -0.000004605-5.05814E-05 -0.0224769558 0.0224263744 4 -7.2537017E-006-8.52305E-05 -0.026972347 0.0268871165 5 -1.0468485E-005-1.34115E-04 -0.0314677381 0.0313336234 6 -1.4375305E-005-2.01037E-04 -0.0359631293 0.0357620918 7 -1.9079826E-005-2.90584E-04 -0.0404585205 0.0401679363 8 -2.4714733E-005-4.08193E-04 -0.0449539116 0.0445457191 9 -0.000031402-5.60243E-04 -0.0494493028 0.0488890601 10 -3.9246189E-005-7.54244E-04 -0.053944694 0.0531904501 11 -4.8351292E-005-9.99080E-04 -0.0584400851 0.0574410055 12 -5.8878400E-005-1.30522E-03 -0.0629354763 0.0616302547 13 -0.000071019-1.68494E-03 -0.0674308675 0.0657459233 14 -8.4964716E-005-2.15262E-03 -0.0719262586 0.0697736391 15 -0.0001009146-2.72507E-03 -0.0764216498 0.0736965762 16 -0.0001191143-3.42194E-03 -0.0809170409 0.0774950967 17 -0.0001398358-4.26610E-03 -0.0854124321 0.0811463284 18 -0.0001633599-5.28417E-03 -0.0899078233 0.0846236577 19 -0.0001900089-6.50707E-03 -0.0944032144 0.0878961488 20 -0.0002201401-7.97074E-03 -0.0988986056 0.0909278654 21 -0.0002541595-9.71690E-03 -0.1033939968 0.0936770932 22 -0.0002925273-1.17939E-02 -0.1078893879 0.0960954467 23 -0.0003357622-1.42579E-02 -0.1123847791 0.0981268394 24 -0.0003844504-1.71739E-02 -0.1168801703 0.0997062995 25 -0.0004392541-2.06170E-02 -0.1213755614 0.1007586021 26 -0.0005009219-2.46743E-02 -0.1258709526 0.1011966772 27 -0.0005703041

-2.94465E-02 -0.1303663437 0.1009198093 28 -0.0006483785-3.50502E-02 -0.1348617349 0.099811561 29 -0.0007362262-4.16198E-02 -0.1393571261 0.0977373243 30 -0.0008350924-4.93110E-02 -0.1438525172 0.0945415488 31 -0.0009464168-5.83033E-02 -0.1483479084 0.0900445905 32 -0.0010718065-6.88043E-02 -0.1528432996 0.0840390438 33 -0.0012130816-8.10532E-02 -0.1573386907 0.0762854808 34 -0.0013723224-9.53266E-02 -0.1618340819 0.0665075237 35 -0.0015519262-1.11943E-01 -0.1663294731 0.0543863377 36 -0.0017546499-1.31270E-01 -0.1708248642 0.0395544472 37 -0.0019835135-1.53732E-01 -0.1753202554 0.0215883158 38 -0.0022418619-1.79816E-01 -0.1798156465 0 39 -0.0025336853

40 -0.0028632659

Base Line DATA GRAFIK SLOPE & DEFLEKSI SAGGING

for (defleksi) Station B Line

Deflection [15] - [16] 0 0 0m 1 -3.8E-006 -0.0007347173

[16] [17] 2 -1.3E-005 -0.00146943450 0 3 -2.4E-005 -0.0022041518

-0.0146943454 0.014690017 4 -3.5E-005 -0.0029388691-0.0293886907 0.0293644938 5 -4.7E-005 -0.0036735863-0.0440830361 0.0440134633 6 -6.1E-005 -0.0044083036-0.0587773814 0.0586317932 7 -7.7E-005 -0.0051430209-0.0734717268 0.0732139329 8 -9.5E-005 -0.0058777381-0.0881660721 0.0877520248 9 -0.000116 -0.0066124554-0.1028604175 0.1022363735 10 -0.00014 -0.0073471727-0.1175547628 0.1166550803 11 -0.000168 -0.0080818899-0.1322491082 0.1309936924 12 -0.000201 -0.0088166072-0.1469434535 0.1452348866 13 -0.000238 -0.0095513245-0.1616377989 0.1593580245 14 -0.000281 -0.0102860417-0.1763321442 0.1733386212 15 -0.00033 -0.011020759-0.1910264896 0.1871477264 16 -0.000387 -0.0117554763

-0.205720835 0.2007511973 17 -0.000451 -0.0124901936-0.2204151803 0.2141088757 18 -0.000523 -0.0132249108-0.2351095257 0.2271735603 19 -0.000605 -0.0139596281

-0.249803871 0.2398902761 20 -0.000697 -0.0146943454-0.2644982164 0.2521956226 21 -0.000802 -0.0154290626-0.2791925617 0.2640160794 22 -0.00092 -0.0161637799-0.2938869071 0.2752659493 23 -0.001053 -0.0168984972-0.3085812524 0.2858454484 24 -0.001204 -0.0176332144-0.3232755978 0.2956384919 25 -0.001375 -0.0183679317-0.3379699431 0.3045101423 26 -0.001567 -0.019102649-0.3526642885 0.3123036694 27 -0.001784 -0.0198373662-0.3673586338 0.3188371646 28 -0.002029 -0.0205720835-0.3820529792 0.3238996435 29 -0.002304 -0.0213068008-0.3967473246 0.3272471035 30 -0.002614 -0.022041518-0.4114416699 0.3285980244 31 -0.002964 -0.0227762353-0.4261360153 0.3276272138 32 -0.003358 -0.0235109526-0.4408303606 0.3239585587 33 -0.003803 -0.0242456698

-0.455524706 0.3171570984 34 -0.004306 -0.0249803871-0.4702190513 0.3067201775 35 -0.004873 -0.0257151044-0.4849133967 0.2920673224 36 -0.005514 -0.0264498216

-0.499607742 0.2725284528 37 -0.006238 -0.0271845389-0.5143020874 0.2473302259 38 -0.007056 -0.0279192562-0.5289964327 0.215580459 39 -0.007981 -0.0286539734-0.5436907781 0.1762505172 40 -0.009022 -0.0293886907-0.5583851234 0.1281550624

-0.5730794688 0.0699280668

-0.5877738141 0

Base Line DATA GRAFIK SLOPE & DEFLEKSI MOMEN TOTAL

for (defleksi) Station B Line

Deflection [15] - [16] 0 0 0m 1 -4.4E-006 -0.0009594868

[16] [17] 2 -1.5E-005 -0.00191897370 0 3 -2.9E-005 -0.0028784605

-0.0191897365 0.0191847962 4 -4.2E-005 -0.0038379473-0.038379473 0.0383514402 5 -5.8E-005 -0.0047974341

-0.0575692096 0.0574875662 6 -7.6E-005 -0.005756921

-0.0767589461 0.0765863178 7 -9.6E-005 -0.0067164078-0.0959486826 0.0956403073 8 -0.00012 -0.0076758946-0.1151384191 0.1146391413 9 -0.000148 -0.0086353814-0.1343281556 0.1335699969 10 -0.00018 -0.0095948683-0.1535178921 0.1524171722 11 -0.000217 -0.0105543551-0.1727076287 0.1711616287 12 -0.00026 -0.0115138419-0.1918973652 0.1897806057 13 -0.000309 -0.0124733287-0.2110871017 0.2082470845 14 -0.000366 -0.0134328156-0.2302768382 0.2265290713 15 -0.000431 -0.0143923024-0.2494665747 0.2445887319 16 -0.000506 -0.0153517892-0.2686563112 0.262381452 17 -0.00059 -0.016311276-0.2878460478 0.279854799 18 -0.000686 -0.0172707629-0.3070357843 0.2969471994 19 -0.000795 -0.0182302497-0.3262255208 0.3135868522 20 -0.000918 -0.0191897365-0.3454152573 0.3296907193 21 -0.001056 -0.0201492233-0.3646049938 0.3451624078 22 -0.001212 -0.0211087102-0.3837947303 0.359889607 23 -0.001389 -0.022068197-0.4029844669 0.3737415972 24 -0.001589 -0.0230276838-0.4221742034 0.3865663573 25 -0.001814 -0.0239871706-0.4413639399 0.3981872355 26 -0.002068 -0.0249466575-0.4605536764 0.4083991161 27 -0.002354 -0.0259061443-0.4797434129 0.416964004 28 -0.002677 -0.0268656311-0.4989331495 0.423605943 29 -0.00304 -0.027825118

-0.518122886 0.4280057056 30 -0.003449 -0.0287846048-0.5373126225 0.4297947016 31 -0.00391 -0.0297440916

-0.556502359 0.4285470231 32 -0.00443 -0.0307035784-0.5756920955 0.4237701198 33 -0.005016 -0.0316630653

-0.594881832 0.4148944226 34 -0.005678 -0.0326225521-0.6140715686 0.4012617263 35 -0.006425 -0.0335820389-0.6332613051 0.3821119129 36 -0.007269 -0.0345415257-0.6524510416 0.3565674966 37 -0.008222 -0.0355010126-0.6716407781 0.3236157067 38 -0.009298 -0.0364604994-0.6908305146 0.2820879827 39 -0.010514 -0.0374199862-0.7100202511 0.2306368549 40 -0.011885 -0.038379473-0.7292099877 0.1677095095

-0.7483997242 0.0915163826

-0.7675894607 0

DATA GRAFIK SLOPE & DEFLEKSI AIR TENANG

B Line 2nd int 0 0 0

-0.000225 3.05991E-08 0.0002247-0.00045 1.91794E-07 0.0004493

-0.000674 6.03529E-07 0.0006737-0.000899 1.35201E-06 0.0008977-0.001124 2.52907E-06 0.0011213-0.001349 4.26152E-06 0.0013444-0.001573 6.70574E-06 0.0015667-0.001798 1.00519E-05 0.0017881-0.002023 1.45292E-05 0.0020084-0.002248 2.04096E-05 0.0022273-0.002472 2.80121E-05 0.0024445-0.002697 3.77122E-05 0.0026595-0.002922 4.99540E-05 0.0028721-0.003147 6.52611E-05 0.0030815-0.003372 8.42472E-05 0.0032873-0.003596 1.07631E-04 0.0034887-0.003821 1.36254E-04 0.0036848-0.004046 1.71097E-04 0.0038748-0.004271 2.13305E-04 0.0040573-0.004495 2.64208E-04 0.0042312

-0.00472 3.25353E-04 0.0043948-0.004945 3.98537E-04 0.0045464

-0.00517 4.85845E-04 0.0046839-0.005394 5.89697E-04 0.0048048-0.005619 7.12897E-04 0.0049063-0.005844 8.58694E-04 0.0049853-0.006069 1.03085E-03 0.0050379

0 5 10 15 20 25 30 35 40

-0.01

-0.005

-1.73472347597681E-018

0.005

0.01

0.015

Slope Defleksi Air TenangDefleksi 1:20

Slope 1:1

2nd Integral 1:20

base1:20

-0.006294 1.23371E-03 0.0050598-0.006518 1.47233E-03 0.005046-0.006743 1.75251E-03 0.0049906-0.006968 2.08099E-03 0.0048869-0.007193 2.46555E-03 0.0047271-0.007417 2.91517E-03 0.0045022-0.007642 3.44021E-03 0.004202-0.007867 4.05266E-03 0.0038143-0.008092 4.76633E-03 0.0033254-0.008316 5.59716E-03 0.0027193-0.008541 6.56352E-03 0.0019777-0.008766 7.68660E-03 0.0010794-0.008991 8.99078E-03 0

2nd int 0 0

2.16E-007 0.00073450081.21E-006 0.00146822473.48E-006 0.00220067327.28E-006 0.00293158971.29E-005 0.00366069662.07E-005 0.00438760123.12E-005 0.00511181874.50E-005 0.0058327546.28E-005 0.00654968468.54E-005 0.00726174430.000114 0.0079679012

0.0001497 0.00866693110.0001939 0.00935738630.0002485 0.01003755990.0003153 0.01070544380.0003968 0.0113586780.0004957 0.01199451380.0006151 0.01260978110.0007588 0.013200804

0 5 10 15 20 25 30 35 40

-0.03

-0.02

-0.01

-6.93889390390723E-018

0.01

0.02

0.03

0.04Slope Defleksi Sagging

Defleksi 1:20

Slope1:1

2nd integral1:20

Axis Title

Axi

s Ti

tle

0.000931 0.01376329750.0011368 0.01429227240.0013819 0.0147819246

0.001673 0.01522550710.002018 0.0156151835

0.0024261 0.01594185820.0029077 0.0161949822

0.003475 0.01636235520.0041422 0.01642990120.0049254 0.01638136070.0058436 0.01619792790.0069184 0.01585785490.0081749 0.01533600890.0096423 0.0146033661

0.011354 0.01362642260.0133486 0.01236651130.0156708 0.010779023

0.018372 0.00881252590.0215115 0.00640775310.0251576 0.00349640330.0293887 0

DATA GRAFIK SLOPE & DEFLEKSI MOMEN TOTAL

2nd int 0 0

2.47E-007 0.00095923981.40E-006 0.0019175724.08E-006 0.00287437838.63E-006 0.00382931591.54E-005 0.00478201542.50E-005 0.0057319571

0 5 10 15 20 25 30 35 40

-0.03

-0.02

-0.01

-6.93889390390723E-018

0.01

0.02

0.03


Defleksi 1:20

Slope1:1

2nd integral1:20

Axis Title

Axi

s Ti

tle

0 5 10 15 20 25 30 35 40

-0.045

-0.035

-0.025

-0.015

-0.005

0.005

0.015

0.025

0.035

0.045Slope Defleksi Momen Total

Defleksi 1:20

Slope

2nd integral 1:20

Axis Title

Axi

s Ti

tle

3.79E-005 0.00667849985.50E-005 0.00762085860.0000773 0.00855808140.0001058 0.0094890303

0.000142 0.01041235420.0001874 0.01132645360.0002439 0.01222943660.0003137 0.01311907260.0003996 0.013992740.0005044 0.014847360.0006319 0.01567934260.0007862 0.0164845360.0009721 0.01725812040.0011953 0.01799448030.0014621 0.01868707990.0017804 0.01932831790.0021588 0.01990936180.0026077 0.0204199558

0.003139 0.02084820020.0037664 0.02118029710.0045059 0.02140028530.0053759 0.02148973510.0063978 0.02142735120.0075961 0.0211885060.0089994 0.02074472110.0106405 0.02006308630.0125575 0.01910559560.0147942 0.01782837480.0174013 0.01618078530.0204371 0.01410439910.0239692 0.0115318427

0.028075 0.00838547550.0328442 0.00457581910.0383795 0

0 5 10 15 20 25 30 35 40

-0.045

-0.035

-0.025

-0.015

-0.005

0.005

0.015

0.025

0.035


Defleksi 1:20

Slope

2nd integral 1:20

Axis Title

Axi

s Ti

tle

0 5 10 15 20 25 30 35 40

-0.01

-0.005

-1.73472347597681E-018

0.005

0.01

0.015

Slope Defleksi Air TenangDefleksi 1:20

Slope 1:1

2nd Integral 1:20

base1:20

0 5 10 15 20 25 30 35 40

-0.03

-0.02

-0.01

-6.93889390390723E-018

0.01

0.02

0.03


Defleksi 1:20

Slope1:1

2nd integral1:20

Axis Title

Axi

s Ti

tle

0 5 10 15 20 25 30 35 40

-0.03

-0.02

-0.01

-6.93889390390723E-018

0.01

0.02

0.03


Defleksi 1:20

Slope1:1

2nd integral1:20

Axis Title

Axi

s Ti

tle

0 5 10 15 20 25 30 35 40

-0.045

-0.035

-0.025

-0.015

-0.005

0.005

0.015

0.025

0.035


Defleksi 1:20

Slope

2nd integral 1:20

Axis Title

Axi

s Ti

tle

0 5 10 15 20 25 30 35 40

-0.045

-0.035

-0.025

-0.015

-0.005

0.005

0.015

0.025

0.035


Defleksi 1:20

Slope

2nd integral 1:20

Axis Title

Axi

s Ti

tle

PEMERIKSAAN KEKUATAN KAPAL

VI.1. Data - data Perhitungan

L = 87.00 m Yna = 344.64

H = 7.5 cm Ina = 783270716

B = 14.00 m Wbottom = 2272719.20816293

Cb = 0.747 Wdeck = 1956417.66920051

k = 1 1 kg = 9.81

VI.2. Pengecekan Tegangan

1. Pada Kondisi Hogging

M'(x)totalmax = 12312.5015577 ton.m

= 1231250155.77 kg.cm

(Geladak mengalami beban tarik, bottom mengalami beban tekan)

M'max/W Deck

= 1231250155.77 / 1956417.67

= 629.3391

M'max/W bottom

= 1231250155.77 / 2272719.21

= 541.7520

2. Pada Kondisi Sagging

M'(x)totalmax = 13363.0488855 ton.m

= 1336304888.55 kg.cm

(Geladak mengalami beban tarik, bottom mengalami beban tekan)

M'max/W Deck

= 1336304888.55 / 1956417.67

= 683.0366

M'max/W bottom

= 1336304888.55 / 2272719.21

= 587.9762

Dimana: Cs= 1 ; untuk 0.3 ≤ x/L ≤ 0.7

; untuk L< 90 m

= 172.5565124821

172.5565124821

= 1758.99

Kesimpulan

Dari perhitungan di atas diperoleh :

deck =

kg/cm2

bottom =

kg/cm2

deck =

kg/cm2

bottom =

kg/cm2

Longitudinal Stress (p) yang diijinkan

p = Cs.p0 (N/mm2)

p0=

Jadi p = N/mm2

kg/cm2

σ_P0=18,5 √L/k

1. Pada Kondisi Hogging

629.339 < tegangan maximum


2. Pada Kondisi Sagging



Jadi:

VI.3. Pengecekan Modulus

Dari BKI 2006 Vol.II, Section 5.C.2

Dimana :

k = 1

L = 87.00

co = (L/25 + 4,1)CRW

CRw = 0.75

= 5.685

B = 14.00 m

Cb = 0.747

Sehingga,

1 x 5.685 x 87.00^2 x 14.00 x (0.747+0.7) x 10^-6

= 0.87169698

= 87169.698

Dari perhitungan Konstruksi design kapal diperoleh:

Wbottom = 2272719.21

Wdeck = 1956417.67

Kesimpulan

VI.4. Pengecekan Momen Inersia

Momen Inersia Minimum pada Daerah midship (BKI 2006, Volume II, section 5.C.3):

Iy =

Dimana,

W = 0.87169698

L = 87.00 m

k = 1

Sehingga,

Iy = 3x10^-2 x 0.87169698 x 87.00/1

= 2.2751291162

deck = kg/cm2

bottom = kg/cm2

deck = kg/cm2

bottom = kg/cm2

deck dan bottom pada semua kondisi air tenang dan kondisi hogging memenuhi persyaratan BKI,

karena kurang dari tegangan maximum (deck) yang diijinkan.

Wmin

= k.Co.L2.B.(Cb + 0.7).10-6 m3

Wmin

=

m3

cm3

cm3

cm3

Modulus Penampang deck (Wdeck), dan modulus penampang bottom (Wbottom) memenuhi ketentuan BKI, karena lebih besar dari modulus minimum.

3x10-2 x W x L/k m4

m3

m4

= 227512911.61557

Dimana, Momen Inersia hasil dari Perhitungan adalah:

Ina = 1032511589

Kesimpulan

Momen Inersia dari kapal memenuhi ketentuan BKI, karena lebih besar dari

momen inersia minimum

VI.5. Kesimpulan Perhitungan Kekuatan Memanjang Kapal

cm4

cm4

Dari perhitungan Tegangan, Modulus, dan Momen Inersia pada konstruksi design kapal memenuhi persyaratan yang di tetapkan Biro Klasifikasi Indonesia (BKI)

344.64 cm

783270716

2272719.20816293

1956417.66920051

9.81 N

cm4

cm3

cm3

< tegangan maximum

< tegangan maximum

< tegangan maximum

< tegangan maximum

; for L <90 m

bottom pada semua kondisi air tenang dan kondisi hogging memenuhi persyaratan BKI,

Modulus Penampang deck (Wdeck), dan modulus penampang bottom (Wbottom) memenuhi ketentuan

Dari perhitungan Tegangan, Modulus, dan Momen Inersia pada konstruksi design kapal memenuhi

Msw = Mt-Mwv

Mt=

172.5565125

untuk L<90 172.55651251758.985856

cs = 1 midship

Wba= modulus bottom Wba= 1956417.6691.956417669

Mt= 337592.609955683 Knm Mwv= 8,546.2634413.1100872255 Tonm

msw= 25866.85 Tonm

σp0=

σp=

=σ_P.W_(B(a)).〖 10〗^3/fr

σ_P=σ_s σ_Po

σ_P0=18,5 √L/k

1 TEU= 22.1 tonN/mm2 Payload = 4000 ton

n = 180.9954751 n1= 1.070053

Co= 5.69cm3 L= 87m3 B= 14Tonm Cb= 0.747

Msw= 72065.01945 Knm7346.077416 Tonm

Msw=n_1 c_0 L^2 B(0,123-0,015.Cb)

n1=1,07[1+15.(n/(10^5))^2 ]≤1,2

Documents

Fitra Long Strength Rev