Laporan (Repaired)

Tugas Merancang Kapal IV 2014Stabilitas Kapal

BAB IDASAR TEORI

1.1 Pengertian Dasar

Sebuah kapal dapat mengoleng disebabkan karena kapal mempunyai

kemampuan untuk menegak kembali sewaktu kapal menyenget yang dikarenakan

oleh adanya pengaruh luar yang bekerja pada kapal. Beberapa contoh pengaruh luar

yang dimaksud adalah: arus, ombak, gelombang, angin dan lain sebagainya. Dari

sifat olengnya apakah sebuah kapal mengoleng terlau lamban, ataukah kapal

mengoleng dengan cepat atau bahkan terlau cepat dengan gerakan yang menyentak-

nyentak, atau apakah kapal mengoleng dengan enak.

Gambar 1.1 Pengaruh angin terhadap stabilitas kapal

Dibawah ini diterangkan karakteristik umum dari stabilitas sebuah kapal :

1. Sebuah kapal yang mengoleng terlalu lamban, maka hal ini menandakan

bahwa kemampuan untuk menegak kembali sewaktu kapal menyenget adalah

terlalu kecil. Kapal yang pada suatu saat mengoleng demikian dikatakan

bahwa stabilitas kapal itu kurang atau kerapkali juga disebut bahwa kapal itu

“langsar“.

2. Sebuah kapal yang mengoleng secara cepat dan dengan menyentak-nyentak,

maka hal itu menandakan bahwa kapal kemampuannya untuk menegak

kembali sewaktu kapal menyenget adalah terlalu besar atau kelewat besar.

Kapal yang dalam keadaan demikian itu dikatakan bahwa stabilitas kapal itu

terlalu besar atau seringkali disebut bahwa kapal itu “Kaku “.

3. Sebuah kapal yang mengoleng dengan “enak “ maka hal itu menandakan

bahwa kemampuannya untuk menegak kembali sewaktu kapal menyenget

Anno Fikri Ardito 121090112140091


adalah sedang. Kapal yang dalam keadaan demikian itu sering kali disebut

sebuah kapal yang mempunyai stabilitas yang “ baik “

Sebuah kapal yang stabilitasnya terlalu kecil atau yang disebut langsar itu

untuk keadaan-keadaan tertentu mungkin berakibat fatal, sebab kapal dapat

terbalik. Kemungkinan demikian dapat terjadi, oleh karena sewaktu kapal akan

menegak kembali pada waktu kapal menyenget tidak dapat berlangsung, hal itu

dikarenakan misalnya oleh adanya pengaruh luar yang bekerja pada kapal, sehingga

kapal itu akan menyenget lebih besar lagi. Apabila proses semacam itu terjadi

secara terus menerus, maka pada suatu saat tertentu kapal sudah tidak memiliki

kemampuan lagi untuk menegak kembali. Jelaslah kiranya bahwa apabila hal itu

terjadi, maka sudah dapat dipastikan bahwa kapal akan terbalik. Sebuah kapal yang

kaku dapat berakibat :

1. Kapal “ tidak nyaman “ sebagai akibat dari berolengnya kapal yang secara

cepat dan menyentak-nyentak itu, sehingga mungkin sekali terjadi semua

awak kapalnya (terlebih-lebih para penumpang) menjadi mabok, sebab dapat

dikatakan bahwa tidak ada satu saatpun kapal itu dalam keadaan “ tenang “

2. Sebagai akibat dari gerakannya yang menyentak-nyentak dandengan cepat itu

maka konstruksi kapal dibangunan-bangunan atasnya akan sangat dirugikan,

misalnya sambungan-sambungan antara suku-suku bagian bangunan atas

akan menjadi longgar, sebab paku-paku kelingnya menjadi longgar.

Akibat lain yang mungkin juga terjadi adalah longsornya muatan yang

dipadat didalam ruang-ruang dibawah. Longsornya muatan itu dapat membawa

akibat yang sangat fatal (kapal dapat terbalik).

Sebuah kapal yang stabilitasnya kecil atau yang disebut langsar yang

disebabkan karena bobot diatas kapal dikonsetrasikan dibagian atas kapal.

Sebuah kapal dapat bersifat kaku, oleh karena pemadatan muatan dikapal itu

dilakukan secara tidak benar, yakni bobot-bobot dikonsentrasikan di bawah,

sehingga kedudukan titik beratnya terlalu rendah.

Pada pokoknya, stabilitas kapal dapat digolongkan didalam 2 jenis stabilitas

yaitu :



1. Stabilitas kapal dalam arah melintang (stabilitas melintang)

2. Stabilitas kapal dalam arah membujur (stabilitas membujur)

Gambar 1.2Stabilitas memanjang

Gambar 1.3Stabilitas melintang

1.2 Stabilitas Awal

Stabilitas awal sebuah kapal adalah kemampuan dari kapal itu untuk kembali

kedalam kedudukan tegaknya semula sewaktu kapal menyenget pada sudut-sudut

kecil ( = 6° ). Pada umumnya stabilitas awal ini hanya terbatas pada pembahasan

pada stabilitas melintang saja.

Stabilitas kapal dipengarhui oleh tiga titik, anatara lain :

1. Titik berat kapal (G / Gravity)



Definisi : Titik berat kapal adalah sebuah titik di kapal yang merupakan

titik tangkap dari Resultante semua gaya berat yang bekerja

di kapal itu, dan dipengaruhi oleh konstruksi kapal.

Arah kerja : Arah bekerjanya gaya berat kapal adalah tegak lurus kebawah

Kedudukan : Titik berat kapal dari suatu kapal yang tegak terletak pada

bidang simetris kapal yaitu bidang yang dibuat melalui linggi

depan, linggi belakang dan lunas kapal

Sifat : Letak / kedudukan titik berat kapal suatu kapal akan tetap

bila tidak terdapat penambahan, pengurangan, atau

penggeseran bobot diatas kapal dan akan berpindah

tempatnya bila terdapat penambahan, pengurangan atau

penggeseran bobot di kapal itu.

2. Titik tekan (B / Bouyancy)

Definisi : Titik tekan = Titik apung = Centre of buoyency debuah titik

di kapal yang merupakan titik tangkap Resultante semua gaya

tekanan keatas air yang bekerja pada bagian kapal yang

terbenam didalam air.

Arah kerja : Arah bekerjanya gaya tekan adalah tegak lurus keatas

Kedudukan : Kedudukan titik tekan sebuah kapal senantiasa berpindah

pindah searah dengan menyengetnya kapal, maksudnya

bahwa kedudukan titik tekan itu akan berpindah kearah kanan

apabila kapal menyenget ke kanan dan akan berpindah ke kiri

apabila kapal menyenget ke kiri, sebab titik berat bagian

kapal yang terbenam berpindah-pindah sesuai dengan arah

sengetnya kapal.

Jadi dengan berpindah-pindahnya kedudukan titik tekan

sebuah kapal sebagai akibat menyengetnya kapal tersebut

akan membawa akibat berubah-ubahnya stabilitas kapal

tersebut.

3. Titik metasentrum (M / Metacentre)



Definisi : Titik Metasentrum sebuah kapal adalah sebuah titik dikapal

yang merupakan titik putus yang busur ayunannya adalah

lintasan yang dilalui oleh titik tekan kapal

Arah kerja : Titik Metasentrum sebuah kapal dengan sudut-sudut senget

kecil terletak pada perpotongan garis sumbu dan, arah garis

gaya tekan keatas sewaktu kapal menyenget

Kedudukan : Untuk sudut-sudut senget kecil kedudukan Metasentrum

dianggap tetap, sekalipun sebenarnya kekududkan titik itu

berubah-ubah sesuai dengan arah dan besarnya sudut senget.

Oleh karena perubahan letak yang sangat kecil, maka

dianggap tetap.

Gambar 1.4Posisi titik B, G, dan M sebelum dan sesudah rolling

Dengan berpindahnya kedudukan titik tekan B dari kedudukannya semula

yang tegak lurus dibawah titik berat G itu akan menyebabkan terjadinya sepasang

koppel, yakni dua gaya yang sama besarnya tetapi dengan arah yang berlawanan,

yang satu merupakan gaya berat kapal itu sendiri sedang yang lainnya adalah gaya

tekanan keatas yang merupakan resultante gaya tekanan keatas yang bekerja pada

bagian kapal yang berada didalam air yang titik tangkapnya adalah titik tekan.

Dengan terbentuknya sepasang koppel tersebut akan terjadi momen yang besarnya

sama dengan berat kapal dikalikan jarak antara gaya berat kapal dan gaya tekanan

keatas.



Gambar 1.5Momen kopel

Besarnya kemampuan untuk menegak kembali kapal itu adalah sebesar

W x GZAtau jika dituangkan dalam bentuk rumus akan berbentuk :

Mp = W x GZDimana Mp adalah Momen penegak

Ditinjau dari hubungan-hubungan yang ada antara kedudukan titik berat (G)

dan Metasentrumnya (M), sebuah kapal mungkin memiliki stabilitas sebagai

berikut :

1. Stabilitas mantap (stabilitas positif), apabila kedudukan metasentrumnya

(M) lebih tinggi dari pada kedudukan titik beratnya (G), Sebuah kapal yang

memiliki stabilitas mantap sewaktu kapal menyenget, kapal memiliki

kemampuan untuk menegak kembali

2. Stabilitas goyah (stabilitas negatif), apabila kedudukan metasentrumnya (M)

lebih rendah dari pada kedudukan titik beratnya ( G ). Sebuah kapal yang

memiliki stabilitas goyah (stabilitas negatif) ini sewaktu kapal menyenget.

Kapal tidak memiliki kemampuan untuk menegak kembali, tetapi bahkan

sengetnya semakin besar



3. Stabilitas netral, apabila kedudukan titik beratnya berimpit dengan

kedudukan metasentrumnya. Sebuah kapal yang memiliki stabilitas netral ini

sewaktu menyenget, kapal tidak memiliki kemampuan untuk menegak

kembali demikian pula tidak bertambah menyenget lagi.

Perbedaan terhadap jenis stabilitas sebagaimana tersebut diatas hanya berlaku

didalam hal stabilitas awal saja. Mengapa demikian, sebab sudah jelas bahwa kapal

yang menyenget dengan sudut-sudut yang besar, pada akhirnya kapal akan menjadi

goyah dan terbalik.

1.3 Kesimpulan awal:

1. Oleh karena besar-kecilnya stabilitas sesuatu kapal tergantung pada besar-

kecilnya momen penegak yang dimilikinya, sedangkan besar kecilnya momen

penegak yang dimilikinya itu tergantung pada besar kecilnya lengan penegak

yang dimilikinya.

2. Selanjutnya besar kecilnya lengan penegak yang dimilikinya itu tergantung

pada besar kecilnya nilai GM nya (tinggi metasentrum).

3. Maka jelas bahwa besar kecilnya GM (tinggi metasentrum) sesuatu kapal

dapat dipergunakan ukuran untuk menilai besar kecilnya stabilitas kapal

tersebut.

4. Tinggi metasentrum ( GM ) hanya dapat dipergunakan sebagai ukuran atas

besar kecilnya stabilitas untuk sudut-sudut senget yang kecil-kecil saja,

sedangkan untuk sudut-sudut senget yang besar, tinggi metasentrum GM itu

tidak dapat dipergunakan sebagai ukuran atas besar kecilnya stabilitas sesuatu

kapal.

5. Mengapa demikian, sebab apabila kapal menyenget dengan sudut-sudut

senget yang besar, kedudukan metasentrum ( M ) nya tidak lagi tetap berada

ditempatnya yang semula, sehingga nilai tinggi metasentrumnya GM tidak

lagi tetap besarnya, sehingga rumus Mp = W x GM Sin Q tidak berlaku lagi

untuk sudut-sudut senget yang besar.



BAB IIPERHITUNGAN UMUM

Sebelum perhitungan-perhitungan stabilitas sebuah kapal mulai dikerjakan,

kedudukan titik berat (G) kapal dalam kedaan kosong atau kedudukan titik berat pada

saat itu, tergantung pada keadaan sebelum perhitungan-perhitungan itu dilakukan.

Kedudukan titik berat setiap muatan yang dibongkar atau yang muat dikapal harus

diketahui secara tepat (disamping harus diketahui juga bobot setiap muatan yang dimuat

atau yang dibongkar itu, sebab setiap adanya perubahan bobot di kapal akan

mengakibatkan berubahnya kedudukan titik berat kapal semula (sebelum dilakukan

kegiatan bongkar-muat). Didalam praktek, pada umumnya tidak mungkin dapat

mengetahui baik bobot maupun kekdudukan titik berat setiap muatan yang dimuat

maupun yang dibongkar secara tepat benar. Sekalipun demikian, kita harus dapat

memperkirakan kedudukan titik berat setiap muatan (bobot) yang dimuat dan dibongkar

itu sedemikan rupa, sehingga nilai-nilainya yang diperkirakan itu sedekat mungkin

mendekati kebenaran, sebab apabila nilai-nilainya yang diperkirakan itu jauh dari

kenyataannya, maka akan mengakibatkan salah perhitungan yang sangat berarti,

sehingga kesalahan yang terjadi tidak dapat diabaikan.

2.1 Perhitungan LWT

Berat kapal kosong (LWT) pada saat kapal akan diluncurkan meliputi :

a. Berat baja kapal dari lunas sampai geladak teratas

b. Berat superstructure

c. Berat forecastle deck dan permesinan utamanya

d. Berat kamar mesin

e. Berat baling-baling dan poros diluar kamar mesin

Perhitungan penyerabaran berat dengan metode Lyod Register 1964, dibagi

menjadi dua bagian, yaitu :

a. Penyebaran berat sampai geladak teratas

b. Penyebaran berat bagian khusus



2.2 Perhitungan Ya dan Yb

Gambar 2.1 Lines Plan



Gambar 2.2 Perhitungan Ya dan Yb

Metode ini diawali dengan menentukan harga 1 = NB sin φ. Untuk

mendapatkan 1 = NB sin φ untuk setiap sudut-sudut lanjut pada metode ini

didasarkan pada displacement yang tetap (constant). Maka untuk setiap sudut oleng

yang digambar harus dikoreksi garis airnya, sehingga garis air pada setiap sudut

oleng mempunyai displacement yang sama. Berikut langkah pengerjaan metode ini:

1. Panjang kapal (LPP) kita bagi atas beberapa penampang melintang (station)

menurut dalil Simpson atau Tchebycheff. Menurut pembagian di atas, tiap-

tiap station kita gambar secara utuh dalam satu gambar bodyplan.



Gambar 2.3 Gambar body plan digambar secara utuh

2. Untuk pembuatan lengan stabilitas bentuk dengan ordinat sama dengan 1 =

NB sin φ, maka paling sedikit dibutuhkan empat keadaan displacement.

Displacement ini dapat dipilih pada sarat dimana kapal dengan muatan penuh,

sarat pada saat kapal kosong , dan dua sarat lagi yang terletak di antara kedua

sarat penuh dan kosong.

Gambar 2.4 Penetuan empat keadaan sarat

3. Biasanya sudut oleng yang ditinjau biasanya meliputi 10E, 20E, 30E, 40E, 50E, 60E,

70E, 80E, dan 90E. Untuk memperoleh perhitungan yang lebih teliti sudut oleng



dapat diambil tiap perbedaan 5E.Maka untuk menentukan titik berat garis air

yang merupakan sumbu putar dan harga MBφ untuk suatu keadaan tertentu

digunakan tabel perhitungan untuk:

a. Luas garis air

b. Momen statis

c. Momen inersia

d. Titik berat garis air

e. Momen inersia garis air

4. Setelah penggunaan tabel perhitungan diatasatau sebelumnya (butir 3), maka

sekarang akan kita terangkan cara mengukur Ya dan Yb.Untuk ini akan lebih

jelas kalau kita melihat contoh gambar-gambar dibawah ini untuk beberapa

macam keadaan.

Gambar 2.5 Gambar contoh-contoh pembacaan Ya; Yb; Ya’; Yb’

Hasil pengukuran Ya Yb kita masukan dalam perhitungan tabel. Nantinya

kita akan mendapatkan harga MBφ. Untuk kapal yang dalam kedudukan tegak

harga e = 0. Dari hasil perhitungan tabel ini maka kita dapat memperoleh untuk

notasi IV suatu harga e.



Gambar 2.6 Gambar penggambaran garis air pada displacement yang sebenarnya

Dari titik berat garis air W0L0, yaitu O kita ukurkan OB = ½ e pada WoLo (lihat

gambar diatas).

Bila harga e positif maka OB diukurkan ke arah bagian yang masuk (ke

kanan/kea rah Ya), sedang bila harga e negative maka OB diukurkan ke bagian

yang keluar (ke kiri/kea rah Yb) bila letak Ya dan Yb seperti tertera pada gambar.

Gambar 2.7 Gambar penggambaran garis air bantu

Kita gambarkan garis air bantu W1 ‘L1 ‘ yang membentuk sudut 10E dengan W0 L0

pada titik O. Dari titik O ini kita lakukan pengukuran harga Ya dan Yb untuk setiap

station dan dimasukan didalam tabel perhitungan untuk sudut 10E.Tarik garis air

W1L1 melalui B sejajar garis air bantu W1’L1’. Ukurkan OC sama dengan e dan

tarik CO’ ┴ W1’L1’ sehingga memotong W1L1 di O’.Tarik garis air bantu W2’L2’

melalui O’ membentuk 10E dengan garis air W1L1.Hal tersebut diatas kita ulangi lagi

hingga semua garis air sampai dengan sudut 90E.Perhitungan MBφ ini kita lakukan

untuk keempat macam keadaan sarat yang telah dipilih pada butir 2. Untuk satu

sarat kita gunakan 10 buah tabel yaitu untuk 0E sampai dengan 90E. Jadi untuk empat

macam keadaan dibutuhkan 40 lembar tabel perhitungan.



Gambar 2.8 Gambar garis air bantu dan garis air sebenarnyauntuk suatu displacement yang tertentu 0E sampai dengan 90E.

2.3 Perhituangan di Tanki

Tanki yang dimaksud adalah :

a. FOT (Fuel Oil Tank)

b. DOT (Diesel Oil Tank)

c. LOT (Lubrication Oil Tank)

d. FWT (Fresh Water Tank)

e. WBT (Water Ballast Tank)

f. AP Tank

g. FP Tank

Masa jenis dari fuel oil diambil 0.94 ton/m3, untuk diesel oil diambil 0.84

ton/m3, untuk lubrication oil diambil 0.92 ton/m3, untuk fresh water tank diambil

1.00 ton/m3, dan untuk AP & FP tank diambil 1.025 ton/m3.



POSISI TANKI – TANKI DI KAPAL

Gambar 2.9 Posisi Tangki pada Kapal


AFTER PEAKTANK

FORE PEAKTANK

LUBRICATION OIL

TANK

FUEL OIL

TANK

DIESEL OIL

TANK

WATER BALLAST

TANK

Tugas Merancang Kapal IV 20142013

Stabilitas Kapal

2.4 Perhitungan di Ruang Muat

Kapal MT. SENZA STANCO terdiri atas 7 ruang muat. Dalam perhitungan

stabilitas, berat jenis muatannya diambil 0.73 ton/m3. Maka di perhitungan tiap

kondisi kapal (4 kondisi) displacement akan lebih besar dari nilai perhitungan

displacement awal.

Gambar 2.10 Misdship section tanpa muatan

2.5 Perhitungan LC Gambar

Pada perhituangan ini, kapal dikondisikan menjadi 8 kondisi, dengan rincian

KONDISI KAPAL : IIKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 100 %

FUEL OIL : 50 %

LUB. OIL : 50 %

DIESEL OIL : 50 %

PROVISION : 50 %

FRESH WATER : 50 %

BALLAST WATER : 25 %


KONDISI KAPAL : IKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 100 %

FUEL OIL : 100 %

LUB. OIL : 100 %

DIESEL OIL : 100 %

PROVISION : 100 %

FRESH WATER : 100 %

BALLAST WATER : 0 %


Stabilitas Kapal

KONDISI KAPAL : IIIKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 0 %

FUEL OIL : 100 %

LUB. OIL : 100 %

DIESEL OIL : 100 %

PROVISION : 100 %

FRESH WATER : 100 %

BALLAST WATER : 100 %

KONDISI KAPAL : IVKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 0 %

FUEL OIL : 0 %

LUB. OIL : 0 %

DIESEL OIL : 0 %

PROVISION : 0 %

FRESH WATER : 0 %

BALLAST WATER : 0 %

BAB III



Stabilitas Kapal

PERHITUNGAN BERAT DAN TITIK BERAT KAPAL

Data kapal:

Type :OIL TANKER SHIP

Lpp = 99.01 mLwl = 102.88 mB = 18.20 mH = 8.10 m

T = 6.61 mCb = 0.75

Vs = 12.60 Knot

Berat kapal kosong ( Light Weight Tonnage ) pada saat akan diluncurkan

meliputi:

- Berat baja kapal dari lunas sampai geladak teratas.

- Berat poop deck .

- Forecastle deck.

- Berat kamar mesin.- Berat baling-baling dan poros diluar kamar mesin.

Perhitungan penyebaran berat dengan Metode Liyod Register 1964, dibagimenjadi dua bagian yaitu:

1. Penyebaran berat sampai geladak teratas.

2. Penyebaran berat bagian khusus.

I.1. BERAT BAJA KAPAL DARI LUNAS SAMPAI GELADAK TERATAS.

Penyebaran berat kapal sampai dengan geladak teratas terdiri dari dua

bagian yaitu:

a. Penyebaran berat antara AP sampai dengan FP.b. Penyebaran berat pada bagian luar AP sampai denagan FP.

I.1.a. berat antara AP sampai FP



Stabilitas Kapal

( berdasarkan LR 1964 hal : 70 )didapatkan rumus :

m = 43.4 x H x ( Lpp/104 ) [ ton / m ]

dimana :

H = ( c1 x B ) + ( c2 x D ) + ( c3 x d ) + ( c4 x Wo x Nt ) + c5 ( 2.5 x h )( sesuai dengan LR 1964 hal : 72 gambar I-b diperoleh )

c1= 1.40 ; c2 = 1.10c3 = 1.05 ; c4 = 1.10

c5= -7.40( sesuai dengan LR 1964 hal : 72 gambar 2 )

Wo= 0.29( sesuai dengan LR 1964 hal : 72 gambar 1a )

Nt= 11 ( jumlah sekat )D = H ( tinggi kapal kapal sampai geladak utama )d = T ( sarat kapal penuh )

h =tinggi dasar ganda ( sesuai dengan BKI 2009 Volume II )

= B = 18.20

15 15

= 1.21 [ mm ]

= 1.3 [ m ]

maka :H = ( 1.40 x 18.20) + ( 1.1 x 8.1 )+ ( 1.05 x 6.61 )

+ (1.1 x 0.29 x 9) + ( -7.4)+( 2,5 x 1,3 )= 40.69

sehingga :

m = 43.4 x H x ( Lpp / 104 )

= 43.4 x 40.690 x ( 99.01/ 104 )

= 17.484 [ ton / m ]

Dari harga m yang diperoleh dengan membuat table dimana harga m

dikalikan dengan harga a ( harga a sesuai dengan LR 1964 hal : 74 – 75

gambar 3 dan 4 ), hasilnya disimsonkan. Maka diperoleh berat kapal

kosong dan AP- FP dan titik berat terhadap midship kapal.



Stabilitas Kapal

Tabel .I. Perhitungan berat antara AP dan FPStation a q = m.a s q.s n q.s.n

0 0.340 5.94 1.00 5.94 -10.00 -59.45

1 0.490 8.57 4.00 34.27 -9.00 -308.43

2 0.625 10.93 2.00 21.86 -8.00 -174.84

3 0.725 12.68 4.00 50.70 -7.00 -354.934 0.810 14.16 2.00 28.32 -6.00 -169.955 0.880 15.39 4.00 61.55 -5.00 -307.736 0.935 16.35 2.00 32.70 -4.00 -130.78

7 0.975 17.05 4.00 68.19 -3.00 -204.578 1.000 17.48 2.00 34.97 -2.00 -69.94

9 1.000 17.48 4.00 69.94 -1.00 -69.9410 1.000 17.48 2.00 34.97 0.00 0.0011 1.000 17.48 4.00 69.94 1.00 69.94

12 1.000 17.48 2.00 34.97 2.00 69.94

13 1.000 17.48 4.00 69.94 3.00 209.81

14 1.000 17.48 2.00 34.97 4.00 139.88

15 0.985 17.22 4.00 68.89 5.00 344.44

16 0.940 16.44 2.00 32.87 6.00 197.22

17 0.858 15.00 4.00 60.01 7.00 420.0518 0.709 12.40 2.00 24.79 8.00 198.34

19 0.478 8.36 4.00 33.43 9.00 300.8720 0.140 2.45 1.00 2.45 10.00 24.48

S1= 875.65 S2= 124.42

W dari AP-FP = 1/3 x h x S1

=1/3x(99.01/20)Xs1 875.655

= 1444.976 ton

LCG = ( S2/ S1 ) x Lpp/20

= 124.419 / 875.655 x 99.01 / 20

= 0.703402 ( dibelakang midship )

KG = 0.6 x H= 0.6 x 8.10= 4.86



Stabilitas Kapal

I.1.b. berat bagian luar AP dan FP

a. Berat kontruksi badan kapal dibelakang AP.

- Berat dari AP ke buritan

W = 0.01133 x m x Lpp

= 0.01133 x 17.484 x 99.01

= 19.614 ton

- Titik berat dari AP ke buritanLCG = - Lpp/ 2 - {[ A1 x G1] + [ A2 x G2] + [A3 x G3]} / { A1 + A2 + A3)

Dimana : A1= P x H

= 11.88 x 2.200

= 26.14 m2

A2= 1/2 x L1 x h

= 1/2 x 0.53 x 2.20

= 0.583 m2

G1 = Titik berat A1 terhadap AP

= 1/2 x 11.88

5.94 m


= ( 1/3 x 0.5300 ) + 11.8800= 12.06 m

A3= Luas A3= 2/3 x 11.88 x 0.190

= 1.505 m2


= 2/3 x 11.88= 7.92 m

LCG =-

55.676915 m ( dibelakang midship )

KG = {[ A1 x ( h+h2+h1/2)] + [ A2 x (h+2/3h2} / { A1 + A2 }= 4.52 m



Stabilitas Kapal

b. Berat kontruksi badan kapal didepan FP.- Berat dari FP ke haluan

W = 0,00175 x m x Lpp

= 0.00175 x 17.484 x 99.01

= 3.029 ton

- Titik berat dari FP ke haluan

LCG = Lpp/ 2 + 1/3 x L

= 49.93 m

KG = 2/3 x t +h

= 8.81

I.2. BERAT POOP DECK.



Stabilitas Kapal

Untuk menghitung berat poop deck, maka tinggi dari poop deck dibagi menjadi tiga

bagian dan panjang poop deck dibagi empat, perhitungan luas masing-masing bagian

disajikan dalam bentuk tabel sebagai berikut :

Tabel II.1. Perhitungan luas poop deck bagian bawahNo B/2 FS B/2.FS1 0.000 1 0 Panjang = 19.20 m

2 3.270 4 13.0788 DL = 2.4 m

3 5.519 2 11.0388 Luas = 2/3 x DL x 160.24

4 6.786 4 27.1428 = 256.385 m2

5 7.590 2 15.186 8.183 4 32.73247 8.577 2 17.153

8 8.767 4 35.06769 8.847 1 8.847

S1 = 160.2404

Tabel II.2. Perhitungan luas poop deck bagian tengah

No B/2 FS B/2.FS

1 0.0000 1 0 Panjang = 19.20 m

2 3.5887 4 14.3548 DL = 2.4 m



Stabilitas Kapal

3 5.9100 2 11.82 Luas = 2/3 x DL x 164.953

4 7.1245 4 28.498 = 263.925 m2

5 7.8384 2 15.67686 8.3215 4 33.286

7 8.6300 2 17.268 8.7917 4 35.1668

9 8.8906 1 8.8906

S1 = 164.953

Tabel II.3. Perhitungan luas poop deck bagian atas

No B/2 FS B/2.FS

1 0.0000 1 0 Panjang = 19.2 m

2 3.7286 4 14.9144 DL = 2.4 m

3 6.0606 2 12.1212 Luas = 2/3 x DL x 166.433

4 7.2307 4 28.9228 = 266.293 m2

5 7.8593 2 15.71866 8.3399 4 33.35967 8.6300 2 17.26

8 8.8043 4 35.2172

9 8.9195 1 8.9195

S1 = 166.4

Tabel II.4. Perhitungan volume poop deck

Bagian Luas (A) FS A.FSAtas 256.3846 1 256.3846 Tinggi = 2.4 mTengah 263.9248 4 1055.6992 DT = 1.2 mBawah 266.2933 1 266.2933 Volume = 1/3 x DT x 1578.38

S1 = 1578.3771 = 631.351 m3

- Berat poop deck :



Stabilitas Kapal

Wv = 01292 x Volume [ ton ]= 0.1292 x 631.4 [ ton ]

= 81.57053 [ ton ]

- Titik berat poop deck :

Lpoop = 19.20 mQd = 4 x QbWv = ( Qd + Qb ) x Lpoop/2

= ( 5 Qb) x 11.91 /2 19.20 / 2

dimana: Qb = 2 Wv / ( 5 Lpoop )

= 1.699 [ ton / m ]Luas dan titik berat segiempat :

A1 = Lpoop x Qb

= 19.2 x 1.699

= 32.628212 [ m2 ]

G1 = Lpoop / 2

= 19.2 / 2

= 9.6 [ m ]

Luas dan titik berat segitiga :A2 = ( Lpoop / 2 ) x 3 x Qb

= 48.942318 [ m2 ]G2 = Lpoop / 3

= 19.2 / 3

= 6.4 [ m ]

Titik berat trapesium :

G = (( A1 x G1) + ( A2 x G2 )) / (A1 +A2 )

= 7.68 [ m ]

Jarak titik berat ke midship :LCG

= -((Lpp/2) + 4,5) + ( Lpoop – G )

= -42 [ m ]

KG = 1/2 x t +H= 1/2 x 2.4 + 8.1= 9.3 m



Stabilitas Kapal

I.3. BERAT FORECASTLE DECK.



Stabilitas Kapal

Untuk menghitung berat poop deck, maka tinggi dari poop deck dibagi menjadi tiga

bagian dan panjang poop deck dibagi empat, perhitungan luas masing-masing bagian

disajikan dalam bentuk tabel sebagai berikut:

Tabel III.1. Perhitungan luas forecastle deck bagian bawahNo B/2 FS B/2.FS

1 7.6717 1 7.672 Panjang = 10.83 m

2 4.7982 4 19.19 DL = 1.3535 m

3 3.8876 2 7.775 Luas = 2/3 x DL x S1

4 3.3123 4 13.25 = 64.401 m2

5 2.8512 2 5.702

6 2.3960 4 9.5847 1.8263 2 3.653

8 1.1366 4 4.5469 0 1 0

S1= 71.37

Tabel III.2. Perhitungan luas forecastle deck bagian tengah

No B/2 FS B/2.FS

1 5.7728 1 5.773 Panjang = 10.23 m

2 4.9188 4 19.68 DL = 1.2789 m

3 4.1139 2 8.228 Luas = 2/3 x DL x S1

4 3.3992 4 13.6 = 59.648 m2

5 2.8028 2 5.6066 2.297 4 9.1887 1.7713 2 3.5438 1.0881 4 4.352

9 0 1 0

S1= 69.96Tabel III.3. Perhitungan luas forecastle deck bagian atas

No B/2 FS B/2.FS

1 5.9072 1 5.9072Panjan

g = 10.00 m

2 4.9776 4 19.91 DL = 1.25 m

3 4.115 2 8.23 Luas = 2/3 xDL

x S1

4 3.3729 4 13.492 = 58.16 m2



Stabilitas Kapal

5 2.7786 2 5.55726 2.2684 4 9.07367 1.731 2 3.462

8 1.0373 4 4.14929 0 1 0

S1= 69.781

Tabel III.4. Perhitungan volume forecastle deck

BagianLuas (A) FS A.FS

Atas 64.401 1 64.401Tinggi

= 2.20 mTengah 59.6478 4 238.59 DT = 1.1 m

Bawah 58.1609 1 58.161Volum

e = 1/3 xDT

x 361.15

S1= 361.15 = 132 m3

- Berat forecastle deck :

W = 0.0892 x Volume [ ton ]= 0.09 x 132 [ ton ]

= 11.8 [ ton ]

- Titik berat poop deck :

LCG = ( Lpp/2 + ls ) – ( 2/3 + lf )

Dimana : ls = panjang FP sampai sekat tubrukan

= 7.01 m (TR III Profile Construction )

lf = 10.83 m

LCG = 49.3 m

KG = 1/2 x t +H= 1/2 x 2.20 + 8.1= 9.2 m

I.14. PERHITUNGAN BERAT TOTAL

Berdasarkan perhitungan berat dan titik berat yang telah dihitung diatas

kita dapat menghitung berat kapal yang akan sebagai berikut:

Tabel IV. Perhitungan berat kapal



Stabilitas Kapal

No Bagian Berat LCG Momen KG Momen1 Badan AP- FP 1444.976 0.703 1016.398 4.860 7022.583

Belakang AP 19.614 -55.677 -1092.032 4.517 88.589Depan FP 3.029 49.925 151.247 8.810 26.690

2 Poop deck 81.571 -42.485 -3465.524 9.300 758.6063 Forecastle deck 11.812 49.297 582.297 9.200 108.671

4 Mesin dan Kamar Mesin 196.022 -24.305 -4764.324 1.367 267.8655 Propeler dan Poros 23.727 -28.232 -669.861 3.099 73.5246 Dibawah Boat Deck 35.493 -36.305 -1288.578 11.700 415.270

7 Dibawah Bridge Deck 35.493 -36.305 -1288.578 14.100 500.453

8 Dibawah navigator deck 15.972 -41.105 -656.525 16.500 263.536

9 dibawah top deck 15.185 -45.998 -698.501 18.900 287.003

10 peralatan diujung depan 42.888 52.970 2271.794 10.715 459.545

11 peralatan diujung belakang 10.724 -49.505 -530.914 9.300 99.737

12 tanki ceruk haluan 4.850 53.140 257.743 5.377 26.07813 tanki ceruk buritan 31.178 -43.425 -1353.903 4.147 129.280

14 Perpipaan Tengah Kapal 10.000 0.703 7.034 4.860 48.60015 crane 5.000 0.703 3.517 4.860 24.300

S1 = 1987.535 S2 = -11518.709 S3 = 10600.331

LWT = 1987.54 Ton

LCG = S2/S1 = -5.795 m

KG = S3/S1 = 5.3334 m

Panjang garis di Hidrostatik yang didapat adalah LWT x LPP x 1.025 / Skala

Hidrostatik yaitu 19.68 m.

Maka berdasarkan berat dan panjang garis yang diperoleh, maka sarat rata-rata kapal

kosong dapat ditentukan dengan membaca kurva hidrostatik, dan diperoleh besar sarat

kapal kosong adalah T = 1.63 m



Stabilitas Kapal

BAB IV

PERHITUNGAN Ya & Yb

Setelah sarat kapal kosong diperoleh, maka kapal harus dikondisikan menjadi

tiga kondisi, yaitu 1/3 muatan penuh, 2/3 muatan penuh dan full load. Caranya yaitu

dengan membagi 3 hasil pengurangan antara T – TLWTpada kurva hidrostatik.



Stabilitas Kapal

Gambar 4.1 Kurva Hidrosttik dan Bonjean



LWT = 1987.54 TonSUDUT = 0 SARAT = 1.6263 m Volume = 1939.058859 m3After Body (L1 = 4.0675 m)

Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 0.18 0.18 0.36 0.36 0.07 0.07 0.01 0.01B4 4 0.72 0.72 2.87 2.87 2.06 2.06 1.48 1.48B5 2 2.30 2.30 4.60 4.60 10.60 10.60 24.39 24.39B6 4 3.96 3.96 15.84 15.84 62.71 62.71 248.30 248.30B7 1 5.47 5.47 5.47 5.47 29.89 29.89 163.43 163.43

29.14 29.14 105.32 105.32 437.61 437.61Area = 1/3 (Sya + Syb)L1 = 79.016M.statis = 1/6 (Sya2-Syb2)L1 = 0.000M.inersia = 1/9 (Sya3+Syb3)L1 = 395.554Middle Body (L2= 12.1333 m)

Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 5.47 5.47 5.47 5.47 29.89 29.89 163.43 163.43T2 4 8.55 8.55 34.19 34.19 292.22 292.22 2497.65 2497.65T3 2 9.10 9.10 18.20 18.20 165.62 165.62 1507.14 1507.14T4 4 9.10 9.10 36.40 36.40 331.24 331.24 3014.28 3014.28T5 2 9.10 9.10 18.20 18.20 165.62 165.62 1507.14 1507.14T6 4 8.06 8.06 32.23 32.23 259.65 259.65 2091.93 2091.93T7 1 3.36 3.36 3.36 3.36 11.27 11.27 37.85 37.85

148.04 148.04 1255.51 1255.51 10819.4410819.4

4



Area = 1/3 (Sya + Syb)L2 = 1197.48391M.statis = 1/6 (Sya2-Syb2)L2 = 0.000M.inersia = 1/9 (Sya3+Syb3)L2 = 29172.32721

Fore Body (L3 = 4.1366 m)Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3

D1 1 3.36 3.36 3.36 3.36 11.27 11.27 37.85 37.85D2 4 1.31 1.31 5.22 5.22 6.82 6.82 8.91 8.91D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

8.58 8.58 18.10 18.10 46.77 46.77Area = 1/3 (Sya + Syb)L3 = 23.668M.statis = 1/6 (Sya2-Syb2)L3 = 0.000M.inersia = 1/9 (Sya3+Syb3)L3 = 42.990

e = 0.000 me/2 = 0.0 m

Io = 29610.870 m4Ikor = 0.000 m4

Io-Ikor = 29610.870 m4

MBj = 15.271 m



Panjang di Hidrostatik = 42.1005 m

LWT=4252.14624

8 Ton

SUDUT = 0 SARAT =3.288

9 m Volume =4148.43536

4 m3After Body (L1 = 4.0675 m)



Middle Body (L2= 12.1333 m)

Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 6.62 6.62 6.62 6.62 43.81 43.81 289.99 289.99T2 4 8.71 8.71 34.85 34.85 303.68 303.68 2646.02 2646.02



T3 2 9.10 9.10 18.20 18.20 165.62 165.62 1507.14 1507.14T4 4 9.10 9.10 36.40 36.40 331.24 331.24 3014.28 3014.28T5 2 9.10 9.10 18.20 18.20 165.62 165.62 1507.14 1507.14T6 4 8.22 8.22 32.88 32.88 270.32 270.32 2222.22 2222.22T7 1 3.57 3.57 3.57 3.57 12.74 12.74 45.49 45.49

150.72

150.72 1293.03 1293.03

11232.28

11232.28

Area = 1/3 (Sya + Syb)L2 =1219.18957

5M.statis = 1/6 (Sya2-Syb2)L2 = 0.000M.inersia = 1/9 (Sya3+Syb3)L2 = 30285.4767


D1 1 3.57 3.57 3.57 3.57 12.74 12.74 45.49 45.49D2 4 1.41 1.41 5.63 5.63 7.93 7.93 11.17 11.17D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.000 m e/2 = 0.0 m

Io =31203.8

2 m4Ikor = 0.000 m4



Io-Ikor =31203.8

2 m4MBj = 7.522 m


LWT=6627.11847

3 Ton

SUDUT = 0 SARAT = 4.9514 m Volume =6465.48143

7 m3After

Body (L1 = 4.0675 m)

Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 0.98 0.98 1.96 1.96 1.93 1.93 1.89 1.89

B4 4 3.14 3.14 12.5812.5

8 39.55 39.55 124.36 124.36

B5 2 5.37 5.37 10.7310.7

3 57.57 57.57 308.90 308.90



B6 4 6.89 6.89 27.5627.5

6 189.86 189.86 1308.05 1308.05B7 1 7.66 7.66 7.66 7.66 58.70 58.70 449.68 449.68

60.4960.4

9 347.61 347.61 2192.88 2192.88Area = 1/3 (Sya + Syb)L1 = 164.032M.statis = 1/6 (Sya2-Syb2)L1 = 0.000M.inersia = 1/9 (Sya3+Syb3)L1 = 1982.117


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 7.66 7.66 7.66 7.66 58.70 58.70 449.68 449.68

T2 4 8.85 8.85 35.3935.3

9 313.14 313.14 2770.64 2770.64

T3 2 9.10 9.10 18.2018.2

0 165.62 165.62 1507.14 1507.14

T4 4 9.10 9.10 36.4036.4

0 331.24 331.24 3014.28 3014.28

T5 2 9.10 9.10 18.2018.2

0 165.62 165.62 1507.14 1507.14

T6 4 8.37 8.37 33.4933.4

9 280.41 280.41 2347.78 2347.78T7 1 3.72 3.72 3.72 3.72 13.81 13.81 51.34 51.34

153.06153.06 1328.54 1328.54 11648.01 11648.01

Area = 1/3 (Sya + Syb)L2 =1238.08516

8M.statis = 1/6 (Sya2-Syb2)L2 = 0.000



M.inersia = 1/9 (Sya3+Syb3)L2 = 31406.4074

Fore Body (L3 = 4.1366 m)

Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3D1 1 3.72 3.72 3.72 3.72 13.81 13.81 51.34 51.34D2 4 1.55 1.55 6.19 6.19 9.57 9.57 14.80 14.80D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.000 me/2 = 0.0 m

Io =33449.3

25 m4Ikor = 0.000 m4

Io-Ikor =33449.3

25 m4MBj = 5.174 m


LWT= 9159.68084 Ton


1 m3



After Body (L1 = 4.0675 m)

Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 1.65 1.65 6.59 6.59 10.87 10.87 17.91 17.91B3 2 4.43 4.43 8.85 8.85 39.16 39.16 173.29 173.29

B4 4 7.04 7.04 28.17 28.17 198.44 198.441397.6

8 1397.68

B5 2 8.16 8.16 16.33 16.33 133.26 133.261087.7

6 1087.76

B6 4 8.65 8.65 34.59 34.59 299.20 299.202587.6

9 2587.69B7 1 8.83 8.83 8.83 8.83 78.01 78.01 688.96 688.96

103.37103.3

7 758.93 758.935953.2

8 5953.28Area = 1/3 (Sya + Syb)L1 = 280.303M.statis = 1/6 (Sya2-Syb2)L1 = 0.000M.inersia = 1/9 (Sya3+Syb3)L1 = 5381.107



T2 4 9.03 9.03 36.12 36.12 326.17 326.172945.3

6 2945.36

T3 2 9.10 9.10 18.20 18.20 165.62 165.621507.1

4 1507.14T4 4 9.10 9.10 36.40 36.40 331.24 331.24 3014.2 3014.28



8

T5 2 9.10 9.10 18.20 18.20 165.62 165.621507.1

4 1507.14

T6 4 8.52 8.52 34.09 34.09 290.54 290.542476.1

5 2476.15T7 1 3.86 3.86 3.86 3.86 14.92 14.92 57.64 57.64

155.71155.7

1 1372.12 1372.1212196.

6712196.6

7

Area = 1/3 (Sya + Syb)L2 =1259.483

455M.statis = 1/6 (Sya2-Syb2)L2 = 0.000

M.inersia = 1/9 (Sya3+Syb3)L2 =32885.74

146




e = 0.004 me/2 = 0.0 m

Io =38329.0

31 m4



Ikor = 0.000 m4

Io-Ikor =38329.0

31 m4MBj = 4.289 m

SUDUT = 10 SARAT = 1.6263 Volume =1939.058859 m3

After Body (L1 = 4.0675 m)Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3

B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 0.18 0.18 0.37 0.36 0.07 0.07 0.01 0.01B4 4 0.76 0.70 3.04 2.80 2.31 1.96 1.75 1.38B5 2 2.56 2.11 5.13 4.22 13.14 8.90 33.68 18.78B6 4 4.60 3.42 18.39 13.68 84.53 46.79 388.56 160.01B7 1 6.37 4.59 6.37 4.59 40.58 21.06 258.47 96.63

33.29 25.66 140.62 78.78 682.48 276.80Area = 1/3 (Sya + Syb)L1 = 79.920M.statis = 1/6 (Sya2-Syb2)L1 = 41.923M.inersia =

1/9 (Sya3+Syb3)L1 = 433.544





T3 2 9.24 8.29 18.48 16.59 170.77 137.53 1577.98 1140.48T4 4 9.24 8.29 36.96 33.17 341.54 275.06 3155.97 2280.95T5 2 9.24 8.29 18.48 16.59 170.77 137.53 1577.98 1140.48T6 4 8.33 7.04 33.32 28.17 277.64 198.40 2313.04 1397.32T7 1 3.52 3.19 3.52 3.19 12.40 10.17 43.67 32.44


1/9 (Sya3+Syb3)L2 = 26029.55495


D1 1 3.52 3.19 3.52 3.19 12.40 10.17 43.67 32.44D2 4 1.34 1.30 5.38 5.22 7.23 6.81 9.72 8.88D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


1/9 (Sya3+Syb3)L3 = 43.532

e = 0.577 m e/2 = 0.29Io = 26506.631 m4

Ikor = 416.419 m4



Io-Ikor = 26090.212 m4MBj = 13.455 m

SUDUT = 10 SARAT = 3.2889 Volume = 4148.435364 m3After

Body (L1 = 4.0675 m)







T3 2 9.24 9.24 18.48 18.48 170.77 170.77 1577.98 1577.98T4 4 9.24 9.24 36.96 36.96 341.54 341.54 3155.97 3155.97T5 2 9.24 9.24 18.48 18.48 170.77 170.77 1577.98 1577.98T6 4 8.48 8.23 33.93 32.92 287.85 270.92 2441.79 2229.60T7 1 3.68 3.57 3.68 3.57 13.56 12.72 49.95 45.38



D1 1 3.68 3.57 3.68 3.57 13.56 12.72 49.95 45.38D2 4 1.45 1.41 5.79 5.65 8.39 7.99 12.15 11.29D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.145 m e/2 = 0.07Io = 32904.83 m4

Ikor = 28.81 m4Io-Ikor = 32876.01 m4

MBj = 7.925 m



SUDUT = 10 SARAT = 4.9514 Volume =6465.48143





. S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 8.92 6.99 8.92 6.99 79.61 48.93 710.33 342.25T2 4 9.16 8.86 36.65 35.43 335.89 313.87 3077.93 2780.33T3 2 9.24 9.24 18.48 18.48 170.77 170.77 1577.98 1577.98T4 4 9.24 9.24 36.96 36.96 341.54 341.54 3155.97 3155.97T5 2 9.24 9.24 18.48 18.48 170.77 170.77 1577.98 1577.98T6 4 8.64 8.36 34.56 33.46 298.62 279.86 2580.16 2340.88



T7 1 3.83 3.72 3.83 3.72 14.68 13.81 56.27 51.35

157.89 153.53 1411.88 1339.5512736.6

211826.7

4

Area = 1/3 (Sya + Syb)L2 =1259.51338

4M.statis = 1/6 (Sya2-Syb2)L2 = 146.261


9




e = 0.289 m e/2 = 0.14

Io =36244.88

0 m4Ikor = 122.907 m4

Io-Ikor =36121.97

3 m4MBj = 5.587 m






115.20 82.65 889.01 500.73 7197.65 3311.02






T2 4 8.58 8.99 34.32 35.97 294.51 323.52 2527.04 2909.59T3 2 8.58 9.24 17.16 18.48 147.25 170.77 1263.52 1577.98T4 4 8.58 9.24 34.32 36.96 294.51 341.54 2527.04 3155.97T5 2 8.58 9.24 17.16 18.48 147.25 170.77 1263.52 1577.98T6 4 8.58 8.52 34.32 34.08 294.51 290.33 2527.04 2473.45T7 1 4.00 3.86 4.00 3.86 15.96 14.90 63.77 57.53

149.87

155.82 1267.61 1375.58

10803.71

12261.45

Area = 1/3 (Sya + Syb)L2 =1236.32058

1M.statis = 1/6 (Sya2-Syb2)L2 = -218.330


8




e = 0.030 m e/2 =0.0150

Io =35917.48

4 m4



Ikor = 1.379 m4

Io-Ikor =35916.10

5 m4MBj = 4.019 m

SUDUT = 20 SARAT = 1.6263 Volume = 1939.058859 m3After Body (L1 = 4.0675 m)

Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 -0.42 0.80 -0.85 1.60 0.36 1.28 -0.15 1.02B4 4 0.18 1.29 0.71 5.14 0.12 6.61 0.02 8.50B5 2 2.29 2.43 4.57 4.86 10.46 11.81 23.91 28.69B6 4 5.12 3.30 20.49 13.19 104.93 43.53 537.41 143.58B7 1 6.91 4.09 6.91 4.09 47.77 16.70 330.21 68.27




Middle Body (L2= 12.1333 m)Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3

T1 1 6.91 4.09 6.91 4.09 47.77 16.70 330.21 68.27T2 4 8.78 4.90 35.11 19.61 308.16 96.15 2704.85 471.43T3 2 9.07 4.90 18.14 9.81 164.53 48.08 1492.29 235.72T4 4 9.07 4.90 36.28 19.61 329.06 96.15 2984.57 471.43T5 2 9.07 4.90 18.14 9.81 164.53 48.08 1492.29 235.72T6 4 8.25 4.90 33.00 19.61 272.17 96.15 2245.08 471.43T7 1 3.13 3.27 3.13 3.27 9.81 10.69 30.72 34.98



D1 1 3.13 3.27 3.13 3.27 9.81 10.69 30.72 34.98D2 4 0.80 1.92 3.21 7.66 2.57 14.68 2.06 28.13D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

6.34 10.93 12.38 25.38 32.78 63.11Area = 1/3 (Sya + Syb)L3 = 23.816M.statis = 1/6 (Sya2-Syb2)L3 = -8.963M.inersia = 1/9 (Sya3+Syb3)L3 = 44.074

e = 1.727 m e/2 = 0.86



Io = 18448.453 m4Ikor = 3170.263 m4

Io-Ikor = 15278.190 m4

MBj = 7.879 m


9 Volume =4148.43536



66.63 35.72 518.73 137.80 4372.58 607.08Area = 1/3 (Sya + Syb)L1 = 138.764M.statis = 1/6 (Sya2-Syb2)L1 = 258.241






162.53 145.32 1498.01 1203.49 13932.25 10118.92



D1 1 3.77 3.81 3.77 3.81 14.19 14.51 53.48 55.28D2 4 1.38 1.62 5.53 6.47 7.65 10.45 10.58 16.90D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

9.30 10.28 21.84 24.96 64.06 72.18Area = 1/3 (Sya + Syb)L3 = 26.991



M.statis = 1/6 (Sya2-Syb2)L3 = -2.151M.inersia = 1/9 (Sya3+Syb3)L3 = 62.617

e = 0.604 m e/2 = 0.30

Io =34737.6

0 m4Ikor = 514.13 m4

Io-Ikor =34223.4

7 m4MBj = 8.250 m



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 1.16 1.10 2.33 2.21 2.70 2.44 3.14 2.69B4 4 8.04 2.45 32.16 9.79 258.58 23.98 2079.03 58.70B5 2 8.80 4.22 17.60 8.44 154.96 35.63 1363.97 150.36B6 4 9.13 5.65 36.52 22.62 333.36 127.90 3043.29 723.21



B7 1 9.13 6.90 9.13 6.90 83.34 47.66 760.82 328.9997.74 49.96 832.94 237.60 7250.25 1263.96




158.00 164.44 1413.63 1538.5912752.8

314588.3

2

Area = 1/3 (Sya + Syb)L2 =1304.08991

5M.statis = 1/6 (Sya2-Syb2)L2 = -252.704


5


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3



D1 1 3.77 4.13 3.77 4.13 14.21 17.08 53.55 70.58D2 4 1.38 1.90 5.51 7.58 7.58 14.37 10.43 27.24D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.094 m e/2 = 0.0470

Io =40782.13

5 m4Ikor = 13.567 m4

Io-Ikor =40768.56

9 m4



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00



B2 4 4.35 1.19 17.39 4.77 75.64 5.69 328.96 6.78B3 2 4.35 2.28 8.70 4.56 37.82 10.42 164.48 23.77B4 4 4.35 4.03 17.39 16.12 75.64 64.95 328.96 261.74B5 2 4.35 5.46 8.70 10.91 37.82 59.55 164.48 324.97B6 4 4.35 6.70 17.39 26.80 75.64 179.54 328.96 1202.84B7 1 4.35 7.55 4.35 7.55 18.91 57.02 82.24 430.52

73.93 70.71 321.49 377.161398.0

6 2250.63Area = 1/3 (Sya + Syb)L1 = 196.112M.statis = 1/6 (Sya2-Syb2)L1 = -37.742M.inersia = 1/9 (Sya3+Syb3)L1 = 1649.006



78.17161.7

9 339.51 1485.761474.5

413799.5

1Area = 1/3 (Sya + Syb)L2 = 970.4953471M.statis = 1/6 (Sya2-Syb2)L2 = -2317.963M.inersia = 1/9 (Sya3+Syb3)L2 = 20591.62631






e = -1.966 m e/2 = -0.983

Io =22325.54

6 m4Ikor = 4628.378 m4

Io-Ikor =17697.16

7 m4MBj = 1.980 m

SUDUT = 30 SARAT = 1.6263 Volume = 1939.058859 m3



After Body (L1 = 4.0675 m)Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3

B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 -2.35 2.75 -4.69 5.50 11.00 15.11 -25.79 41.52B4 4 -1.88 3.10 -7.53 12.41 14.19 38.50 -26.74 119.45B5 2 0.49 3.66 0.99 7.31 0.49 26.74 0.24 97.78B6 4 4.95 4.21 19.78 16.85 97.86 71.02 484.00 299.24B7 1 6.73 4.25 6.73 4.25 45.28 18.10 304.66 77.01



T1 1 6.73 4.25 6.73 4.25 45.28 18.10 304.64 77.01T2 4 7.75 4.25 31.02 17.02 240.54 72.40 1865.25 308.04T3 2 7.91 4.25 15.82 8.51 125.10 36.20 989.34 154.02T4 4 7.91 4.25 31.63 17.02 250.19 72.40 1978.68 308.04T5 2 7.91 4.25 15.82 8.51 125.10 36.20 989.34 154.02T6 4 7.15 4.25 28.60 17.02 204.52 72.40 1462.47 308.04T7 1 1.48 4.20 1.48 4.20 2.19 17.63 3.23 74.00

131.10 76.52 992.90 325.34 7592.96 1383.16Area = 1/3 (Sya + Syb)L2 = 839.7141464



M.statis = 1/6 (Sya2-Syb2)L2 = 1349.955M.inersia = 1/9 (Sya3+Syb3)L2 = 12101.11004


D1 1 1.48 4.20 1.48 4.20 2.19 17.63 3.23 74.00D2 4 -1.10 3.35 -4.38 13.40 4.80 44.88 -5.26 150.33D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-2.90 17.60 6.99 62.51 -2.03 224.33Area = 1/3 (Sya + Syb)L3 = 20.260M.statis = 1/6 (Sya2-Syb2)L3 = -38.277M.inersia = 1/9 (Sya3+Syb3)L3 = 102.173

e = 1.390 m e/2 = 0.69Io = 12823.072 m4

Ikor = 1822.289 m4Io-Ikor

= 11000.783 m4MBj = 5.673 m




9 Volume =4148.43536


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 -0.53 1.11 -1.06 2.22 0.56 2.47 -0.30 2.74B4 4 6.38 -1.72 25.51 -6.87 162.73 11.81 1037.90 -20.29B5 2 9.04 3.54 18.08 7.08 163.44 25.06 1477.48 88.71B6 4 9.28 4.78 37.12 19.14 344.52 91.58 3197.34 438.21B7 1 9.28 5.61 9.28 5.61 86.13 31.49 799.33 176.73



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 9.28 5.61 9.28 5.61 86.13 31.49 799.33 176.73T2 4 9.28 6.92 37.12 27.68 344.52 191.51 3197.34 1325.15T3 2 9.28 6.92 18.56 13.84 172.26 95.76 1598.67 662.58T4 4 9.28 6.92 37.12 27.68 344.52 191.51 3197.34 1325.15T5 2 9.28 6.92 18.56 13.84 172.26 95.76 1598.67 662.58T6 4 9.14 6.92 36.54 27.68 333.81 191.51 3049.50 1325.15



T7 1 3.47 4.54 3.47 4.54 12.06 20.64 41.88 93.74160.6

6 120.86 1465.56 818.18 13482.72 5571.08Area = 1/3 (Sya + Syb)L2 = 1138.61597M.statis = 1/6 (Sya2-Syb2)L2 = 1309.145M.inersia = 1/9 (Sya3+Syb3)L2 = 25687.26948


D1 1 3.47 4.54 3.47 4.54 12.06 20.64 41.88 93.74D2 4 0.83 2.40 3.34 9.60 2.78 23.03 2.32 55.28D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 1.278 m e/2 = 0.64

Io =29029.1

1 m4Ikor = 2162.31 m4

Io-Ikor =26866.7

9 m4MBj = 6.476 m











T3 2 6.20 9.73 12.39 19.46 76.77 189.25 475.66 1840.97T4 4 6.20 9.73 24.78 38.91 153.55 378.50 951.33 3681.94T5 2 6.20 9.73 12.39 19.46 76.77 189.25 475.66 1840.97T6 4 6.20 8.83 24.78 35.33 153.55 311.97 951.33 2755.08T7 1 4.07 4.50 4.07 4.50 16.58 20.28 67.50 91.35

109.40 160.47 669.15 1460.12 4110.66 13451.36

Area = 1/3 (Sya + Syb)L2 =1091.47526

8M.statis = 1/6 (Sya2-Syb2)L2 = -1599.516


9


D1 1 4.07 4.50 4.07 4.50 16.58 20.28 67.50 91.35D2 4 1.40 2.12 5.62 8.49 7.89 18.02 11.09 38.24D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = -1.097 m e/2 = -0.5484

Io =25697.75

6 m4Ikor = 1561.508 m4

Io-Ikor =24136.24

8 m4



MBj = 3.733 m



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 4.00 -0.60 15.99 -2.42 63.96 1.46 255.75 -0.88B3 2 4.00 0.42 8.00 0.85 31.98 0.36 127.88 0.15B4 4 4.00 1.92 15.99 7.67 63.96 14.71 255.75 28.22B5 2 4.00 3.31 8.00 6.62 31.98 21.89 127.88 72.41B6 4 4.00 4.53 15.99 18.11 63.96 81.98 255.75 371.13B7 1 4.00 5.51 4.00 5.51 15.99 30.41 63.94 167.73

67.98 36.34 271.82 150.811086.9

4 638.76Area = 1/3 (Sya + Syb)L1 = 141.439M.statis = 1/6 (Sya2-Syb2)L1 = 82.035M.inersia = 1/9 (Sya3+Syb3)L1 = 779.92

Middle Body 12.1333 m)



(L2=Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3

T1 1 4.00 5.51 4.00 5.51 15.99 30.41 63.94 167.73

T2 4 4.00 7.81 15.99 31.23 63.96 243.80 255.751903.4

0

T3 2 4.00 8.34 8.00 16.68 31.98 139.17 127.881160.9

0

T4 4 4.00 8.34 15.99 33.37 63.96 278.34 255.752321.7

9

T5 2 4.00 8.34 8.00 16.68 31.98 139.17 127.881160.9

0

T6 4 4.00 7.26 15.99 29.05 63.96 211.00 255.751532.4

6T7 1 4.00 2.13 4.00 2.13 15.99 4.55 63.94 9.72

71.98134.6

6 287.81 1046.441150.8

88256.9



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3D1 1 4.00 2.13 4.00 2.13 15.99 4.55 63.94 9.72D2 4 4.00 -0.29 15.99 -1.16 63.96 0.34 255.75 -0.10D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

19.99 0.97 79.95 4.89 319.69 9.62Area = 1/3 (Sya + Syb)L3 = 28.910




e = -1.392 m e/2 = -0.70

Io =13614.31

2 m4Ikor = 1949.058 m4

Io-Ikor =11665.25

4 m4MBj = 1.305 m


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B4 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B5 2 4.59 -0.86 9.18 -1.73 42.17 1.49 193.63 -1.29B6 4 6.93 4.23 27.73 16.92 192.27 71.54 1332.98 302.58B7 1 7.12 4.23 7.12 4.23 50.67 17.89 360.70 75.64






120.74 76.13 858.99 321.95 6121.361361.5

9Area = 1/3 (Sya + Syb)L2 = 796.2178837M.statis = 1/6 (Sya2-Syb2)L2 = 1086.020M.inersia = 1/9 (Sya3+Syb3)L2 = 10088.09558


D1 1 0.00 4.23 0.00 4.23 0.00 17.89 0.00 75.64D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00



D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 4.23 0.00 17.89 0.00 75.64

Area = 1/3 (Sya + Syb)L3 = 5.837M.statis = 1/6 (Sya2-Syb2)L3 = -12.331M.inersia = 1/9 (Sya3+Syb3)L3 = 34.768

e = 1.357 m e/2 = 0.68Io = 11146.175 m4

Ikor = 1635.898 m4Io-Ikor = 9510.277 m4

MBj = 4.905 m


9 Volume =4148.43536


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 4.17 -2.49 8.35 -4.97 34.83 12.35 145.36 -30.71B4 4 6.28 2.34 25.11 9.35 157.60 21.86 989.27 51.09



B5 2 6.37 4.80 12.75 9.60 81.27 46.06 518.07 221.06B6 4 6.37 5.52 25.50 22.09 162.54 122.02 1036.14 673.96B7 1 6.37 6.11 6.37 6.11 40.64 37.32 259.04 227.98




110.82 111.24 696.81 687.97 4418.33 4257.44





Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3D1 1 2.45 5.51 2.45 5.51 6.01 30.36 14.73 167.29D2 4 -0.60 4.14 -2.41 16.56 1.45 68.54 -0.87 283.73D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.106 m e/2 = 0.05

Io =13758.8

8 m4Ikor = 12.26 m4

Io-Ikor =13746.6

2 m4MBj = 3.314 m









99.80 121.94 553.33 838.37 3067.86 5814.99

Area = 1/3 (Sya + Syb)L2 =896.821949

5M.statis = 1/6 (Sya2-Syb2)L2 = -576.421




7




e = -0.293 m e/2 = -0.15

Io =13494.32

3 m4Ikor = 94.062 m4

Io-Ikor =13400.26

1 m4MBj = 2.073 m




1 m3After Body (L1

= 4.0675 m)Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3

B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

B2 4 4.03 -1.8216.1

2 -7.27 64.95 13.20 261.71 -23.98B3 2 4.03 -0.78 8.06 -1.55 32.47 1.21 130.85 -0.94

B4 4 4.03 0.5516.1

2 2.21 64.95 1.22 261.71 0.68B5 2 4.03 1.88 8.06 3.75 32.47 7.03 130.85 13.19

B6 4 4.03 3.0716.1

2 12.29 64.95 37.75 261.71 115.95B7 1 4.03 4.17 4.03 4.17 16.24 17.38 65.43 72.44

68.50 13.60 276.03 77.79

1112.25 177.34




T2 4 4.03 6.7916.1

2 27.17 64.95 184.55 261.711253.5

2



T3 2 4.03 7.43 8.06 14.85 32.47 110.28 130.85 818.86

T4 4 4.03 7.4316.1

2 29.70 64.95 220.55 261.711637.7

1T5 2 4.03 7.43 8.06 14.85 32.47 110.28 130.85 818.86

T6 4 4.03 6.3416.1

2 25.36 64.95 160.84 261.711019.8

9T7 1 4.03 0.76 4.03 0.76 16.24 0.57 65.43 0.44

72.53

116.86 292.26 804.44

1177.68

5621.71

Area = 1/3 (Sya + Syb)L2 =765.998686

7M.statis = 1/6 (Sya2-Syb2)L2 = -1035.74


6


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3D1 1 4.03 0.76 4.03 0.76 16.24 0.57 65.43 0.44

D2 4 4.03 -1.9416.1

2 -7.76 64.95 15.04 261.71 -29.17D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

20.15 -7.00 81.18 15.62 327.13 -28.74


e = -0.956 m e/2 = -0.478



Io = 9886.524 m4Ikor = 818.567 m4

Io-Ikor = 9067.957 m4MBj = 1.015 m







T1 1.00 6.00 4.57 6.00 4.57 36.04 20.89 216.33 95.49T2 4.05 6.00 4.57 24.33 18.52 146.03 84.66 876.65 386.95T3 4.05 6.00 4.57 24.33 18.52 146.03 84.66 876.65 386.95T4 4.05 6.00 4.57 24.33 18.52 146.03 84.66 876.65 386.95T5 4.05 6.00 4.57 24.33 18.52 146.03 84.66 876.65 386.95T6 4.05 6.00 4.57 24.33 18.52 146.03 84.66 876.65 386.95T7 0.00 -1.84 4.26 0.00 0.00 0.00 0.00 0.00 0.00


1/9 (Sya3+Syb3)L2 = 8937.956513


D1 1 -1.84 4.26 -1.84 4.26 3.38 18.13 -6.22 77.18D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-1.84 4.26 3.38 18.13 -6.22 77.18Area = 1/3 (Sya + Syb)L3 = 3.335M.statis = 1/6 (Sya2-Syb2)L3 = -10.167M.inersia = 1/9 (Sya3+Syb3)L3 = 32.618

e = 0.675 m e/2 = 0.34



Io = 9761.105 m4Ikor = 456.753 m4

Io-Ikor = 9304.352 m4

MBj = 4.798 m


9 Volume =4148.43536



58.95 51.26 279.82 240.23 1367.47 1158.50Area = 1/3 (Sya + Syb)L1 = 149.422M.statis = 1/6 (Sya2-Syb2)L1 = 26.834








D1 1 2.88 5.26 2.88 5.26 8.30 27.67 23.91 145.52D2 4 -0.88 4.54 -3.51 18.16 3.08 82.44 -2.70 374.28D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-0.63 23.42 11.38 110.11 21.20 519.81Area = 1/3 (Sya + Syb)L3 = 32.238M.statis = 1/6 (Sya2-Syb2)L3 = -69.831




e = -0.101 m e/2 = -0.05Io = 8398.94 m4

Ikor = 9.66 m4Io-Ikor = 8389.28 m4

MBj = 2.022 m



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 4.87 -1.26 19.49 -5.04 94.95 6.36 462.60 -8.01B3 2 4.87 -0.22 9.74 -0.45 47.47 0.10 231.30 -0.02B4 4 4.87 1.03 19.49 4.13 94.95 4.27 462.60 4.42B5 2 4.87 2.74 9.74 5.49 47.47 15.04 231.30 41.26B6 4 4.87 4.17 19.49 16.68 94.95 69.58 462.60 290.21B7 1 4.87 4.91 4.87 4.91 23.74 24.13 115.65 118.52

82.83 25.72 403.54 119.49 1966.06 446.38






87.70 99.94 427.27 558.72 2081.71 3138.99

Area = 1/3 (Sya + Syb)L2 =758.896661

8M.statis = 1/6 (Sya2-Syb2)L2 = -265.818


5






e = -0.025 m e/2 = -0.01

Io =8331.66

1 m4Ikor = 0.590 m4

Io-Ikor =8331.07

1 m4MBj = 1.289 m




B2 4 4.10 -2.6316.4

0 -10.52 67.25 27.65 275.74 -72.72B3 2 4.10 -1.54 8.20 -3.08 33.62 4.76 137.87 -7.34B4 4 4.10 -0.34 16.4 -1.34 67.25 0.45 275.74 -0.15



0B5 2 4.10 0.92 8.20 1.84 33.62 1.70 137.87 1.56

B6 4 4.10 2.1316.4

0 8.50 67.25 18.07 275.74 38.42B7 1 4.10 3.32 4.10 3.32 16.81 11.04 68.94 36.68

69.71 -1.28 285.81 63.67

1171.91 -3.55




T2 4 4.10 5.7216.4

0 22.87 67.25 130.74 275.74 747.46T3 2 4.10 6.33 8.20 12.67 33.62 80.22 137.87 508.09

T4 4 4.10 6.3316.4

0 25.33 67.25 160.45 275.741016.1

8T5 2 4.10 6.33 8.20 12.67 33.62 80.22 137.87 508.09

T6 4 4.10 5.5316.4

0 22.10 67.25 122.11 275.74 674.65T7 1 4.10 -0.30 4.10 -0.30 16.81 0.09 68.94 -0.03

73.81 98.66 302.62 584.87

1240.85

3491.13

Area = 1/3 (Sya + Syb)L2 =697.532092

6



M.statis = 1/6 (Sya2-Syb2)L2 = -570.76


6


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3D1 1 4.10 -0.30 4.10 -0.30 16.81 0.09 68.94 -0.03

D2 4 4.10 -3.4216.4

0 -13.68 67.25 46.78 275.74 -159.96D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

20.50 -13.98 84.06 46.87 344.68 -159.99


e = -0.493 m e/2 =-0.2463

Io = 6994.513 m4Ikor = 194.023 m4

Io-Ikor = 6800.490 m4MBj = 0.761 m




Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B4 4 4.76 -2.50 19.03 -9.99 90.51 24.94 430.53 -62.27B5 2 4.76 -1.48 9.51 -2.97 45.25 4.40 215.27 -6.53B6 4 4.76 3.34 19.03 13.36 90.51 44.61 430.53 148.96B7 1 4.76 4.46 4.76 4.46 22.63 19.93 107.63 88.97



T1 1 4.76 4.46 4.76 4.46 22.63 19.93 107.63 88.97T2 4 4.76 4.46 19.03 17.86 90.51 79.72 430.53 355.87T3 2 4.76 4.46 9.51 8.93 45.25 39.86 215.27 177.93T4 4 4.76 4.46 19.03 17.86 90.51 79.72 430.53 355.87T5 2 4.76 4.46 9.51 8.93 45.25 39.86 215.27 177.93T6 4 4.76 4.46 19.03 17.86 90.51 79.72 430.53 355.87



T7 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0080.87 75.89 384.66 338.79 1829.76 1512.45



D1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.278 m e/2 = 0.1390Io = 5117.295 m4


= 5062.283 m4MBj = 2.611 m




9 Volume =4148.43536


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 4.74 -4.49 18.97 -17.96 90.00 80.65 426.88 -362.17B3 2 1.22 1.46 2.43 2.92 2.96 4.27 3.61 6.23B4 4 2.63 4.17 10.52 16.68 27.65 69.58 72.72 290.19B5 2 4.74 4.58 9.49 9.15 45.00 41.88 213.44 191.62B6 4 4.74 4.61 18.97 18.44 90.00 85.00 426.88 391.81B7 1 4.74 4.61 4.74 4.61 22.50 21.25 106.72 97.95

65.13 33.84 278.11 302.62 1250.23 615.63Area = 1/3 (Sya + Syb)L1 = 134.188M.statis = 1/6 (Sya2-Syb2)L1 = -16.620M.inersia =

1/9 (Sya3+Syb3)L1 = 843.267


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 4.74 4.61 4.74 4.61 22.50 21.25 106.72 97.95T2 4 4.74 4.61 18.97 18.44 90.00 85.00 426.88 391.81T3 2 4.74 4.61 9.49 9.22 45.00 42.50 213.44 195.91



T4 4 4.74 4.61 18.97 18.44 90.00 85.00 426.88 391.81T5 2 4.74 4.61 9.49 9.22 45.00 42.50 213.44 195.91T6 4 4.74 4.61 18.97 18.44 90.00 85.00 426.88 391.81T7 1 4.11 4.61 4.11 4.61 16.86 21.25 69.25 97.95



D1 1 4.11 4.61 4.107 4.610 16.863 21.249 69.249 97.953D2 4 -1.02 4.33 -4.097 17.315 4.196 74.954 -4.297 324.461D3 1 0.00 0.00 0.000 0.000 0.000 0.000 0.000 0.000

0.010 21.925 21.059 96.203 64.952 422.414Area = 1/3 (Sya + Syb)L3 = 31.029M.statis = 1/6 (Sya2-Syb2)L3 = -53.149M.inersia =

1/9 (Sya3+Syb3)L3 = 229.809

e = -0.0423 e/2 = -0.02Io = 5989.26 m4

Ikor = 1.51 m4Io-Ikor = 5987.75 m4

MBj = 1.44 m











T2 4 4.33 5.02 17.32 20.09 75.01 100.91 324.84 506.81T3 2 4.33 5.02 8.66 10.05 37.51 50.45 162.42 253.41T4 4 4.33 5.02 17.32 20.09 75.01 100.91 324.84 506.81T5 2 4.33 5.02 8.66 10.05 37.51 50.45 162.42 253.41T6 4 4.33 5.02 17.32 20.09 75.01 100.91 324.84 506.81T7 1 4.33 4.07 4.33 4.07 18.75 16.56 81.21 67.39

77.95 89.15 337.56 442.42 1461.80 2199.46

Area = 1/3 (Sya + Syb)L2 =675.804992

3M.statis = 1/6 (Sya2-Syb2)L2 = -212.046


5


D1 1 4.33 4.07 4.33 4.07 18.75 16.56 81.21 67.39D2 4 4.33 1.08 17.32 4.32 75.01 4.68 324.84 5.05D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = -0.03052 m e/2 = -0.015

Io =5982.85

5 m4Ikor = 0.795 m4

Io-Ikor = 5982.06 m4



1MBj = 0.925 m




B2 4 4.03 -3.05 16.13-

12.19 65.01 37.17 262.06 -113.29B3 2 4.03 -1.90 8.06 -3.81 32.50 7.26 131.03 -13.82B4 4 4.03 -0.78 16.13 -3.12 65.01 2.44 262.06 -1.91B5 2 4.03 0.44 8.06 0.87 32.50 0.38 131.03 0.17B6 4 4.03 1.69 16.13 6.75 65.01 11.38 262.06 19.19B7 1 4.03 3.00 4.03 3.00 16.25 9.00 65.51 26.98

68.53 -8.51 276.27 67.621113.7

4 -82.69Area = 1/3 (Sya + Syb)L1 = 81.380M.statis = 1/6 (Sya2-Syb2)L1 = 141.452M.inersia = 1/9 (Sya3+Syb3)L1 = 465.980




Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 4.03 3.00 4.03 3.00 16.25 9.00 65.51 26.98T2 4 4.03 5.06 16.13 20.25 65.01 102.50 262.06 518.89T3 2 4.03 5.32 8.06 10.64 32.50 56.64 131.03 301.44T4 4 4.03 5.32 16.13 21.29 65.01 113.29 262.06 602.89T5 2 4.03 5.32 8.06 10.64 32.50 56.64 131.03 301.44T6 4 4.03 4.95 16.13 19.82 65.01 98.18 262.06 486.44T7 1 4.03 -1.03 4.03 -1.03 16.25 1.06 65.51 -1.09

-11.69 72.56 84.61 292.52 437.311179.2

62237.0




D1 1 4.03 -1.03 4.031-

1.028 16.251 1.056 65.514 -1.085D2 4 0.00 0.00 0.000 0.000 0.000 0.000 0.000 0.000D3 1 0.00 0.00 0.000 0.000 0.000 0.000 0.000 0.000

4.031-

1.028 16.251 1.056 65.514 -1.085Area = 1/3 (Sya + Syb)L3 = 4.249




e = -0.195 m e/2 =-0.097

Io = 5101.975 m4Ikor = 27.402 m4

Io-Ikor = 5074.573 m4MBj = 0.568 m


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B3 2 4.14 -3.83 8.28 -7.65 34.29 29.29 141.98 -112.08B4 4 4.14 -1.84 16.56 -7.37 68.58 13.58 283.96 -25.03B5 2 4.14 -0.96 8.28 -1.92 34.29 1.85 141.98 -1.77B6 4 4.14 1.64 16.56 6.55 68.58 10.72 283.96 17.54B7 1 4.14 3.87 4.14 3.87 17.14 14.96 70.99 57.85

53.83 -6.53 222.88 70.39 922.85 -63.49





T1 1 4.14 3.87 4.14 3.87 17.14 14.96 70.99 57.85T2 4 4.14 4.48 16.56 17.92 68.58 80.26 283.96 359.49T3 2 4.14 4.48 8.28 8.96 34.29 40.13 141.98 179.75T4 4 4.14 4.48 16.56 17.92 68.58 80.26 283.96 359.49T5 2 4.14 4.48 8.28 8.96 34.29 40.13 141.98 179.75T6 4 4.14 4.48 16.56 17.92 68.58 80.26 283.96 359.49T7 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00



D1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 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 0.00Area = 1/3 (Sya + Syb)L3 = 0.000




e = 0.020 m e/2 = 0.010Io = 4031.925 m4


= 4031.653 m4MBj = 2.079 m


9 Volume =4148.43536


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 4.41 -3.71 17.63 -14.83 77.74 55.01 342.74 -204.00B3 2 4.41 -2.22 8.82 -4.44 38.87 9.86 171.37 -21.88B4 4 4.41 -0.09 17.63 -0.37 77.74 0.03 342.74 0.00B5 2 4.41 4.13 8.82 8.27 38.87 34.19 171.37 141.34B6 4 4.41 4.21 17.63 16.84 77.74 70.94 342.74 298.73



B7 1 4.41 4.21 4.41 4.21 19.44 17.73 85.68 74.6874.95 9.68 330.41 187.76 1456.64 288.87






D1 1 4.41 4.21 4.41 4.21 19.44 17.73 85.68 74.68D2 4 0.66 2.69 2.63 10.74 1.73 28.84 1.14 77.44



D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.007.04 14.95 21.17 46.57 86.82 152.12


e = 0.182 m e/2 = 0.09095

Io =4793.09

7 m4Ikor = 25.587 m4

Io-Ikor =4767.51

0 m4MBj = 1.149 m



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 4.02 -1.41 16.07 -5.63 64.57 7.93 259.41 -11.17B3 2 4.02 -0.34 8.04 -0.69 32.28 0.24 129.71 -0.08



B4 4 4.02 1.17 16.07 4.68 64.57 5.48 259.41 6.42B5 2 4.02 3.33 8.04 6.66 32.28 22.15 129.71 73.70B6 4 4.02 4.14 16.07 16.55 64.57 68.46 259.41 283.24B7 1 4.02 4.60 4.02 4.60 16.14 21.18 64.85 97.47




72.32 82.36 290.55 377.07 1167.36 1727.21

Area = 1/3 (Sya + Syb)L2 =625.593756

9M.statis = 1/6 (Sya2-Syb2)L2 = -174.956


8






e = -0.044 m e/2 = -0.0219

Io =4795.44

2 m4Ikor = 1.522 m4

Io-Ikor =4793.92

0 m4MBj = 0.741 m






B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

B2 4 3.89 -3.25 15.54-

12.99 60.40 42.20 234.73 -137.08B3 2 3.89 -2.04 7.77 -4.08 30.20 8.34 117.36 -17.02B4 4 3.89 -0.96 15.54 -3.83 60.40 3.67 234.73 -3.52B5 2 3.89 0.25 7.77 0.50 30.20 0.12 117.36 0.03B6 4 3.89 1.60 15.54 6.40 60.40 10.24 234.73 16.39B7 1 3.89 3.05 3.89 3.05 15.10 9.28 58.68 28.28

66.06-

10.96 256.72 73.86 997.60 -112.92Area = 1/3 (Sya + Syb)L1 = 74.705M.statis = 1/6 (Sya2-Syb2)L1 = 123.960M.inersia = 1/9 (Sya3+Syb3)L1 = 399.826


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 3.89 3.05 3.89 3.05 15.10 9.28 58.68 28.28T2 4 3.89 4.73 15.54 18.94 60.40 89.64 234.73 424.34T3 2 3.89 4.73 7.77 9.47 30.20 44.82 117.36 212.17T4 4 3.89 4.73 15.54 18.94 60.40 89.64 234.73 424.34T5 2 3.89 4.73 7.77 9.47 30.20 44.82 117.36 212.17T6 4 3.89 4.70 15.54 18.82 60.40 88.53 234.73 416.49T7 1 3.89 -1.69 3.89 -1.69 15.10 2.87 58.68 -4.86

69.95 76.98 271.82 369.601056.2

81712.9

4Area = 1/3 (Sya + Syb)L2 = 594.23



M.statis = 1/6 (Sya2-Syb2)L2 = -197.73M.inersia = 1/9 (Sya3+Syb3)L2 = 3733.32


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3D1 1 3.89 -1.69 3.89 -1.69 15.10 2.87 58.68 -4.86D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3.89 -1.69 15.10 2.87 58.68 -4.86Area = 1/3 (Sya + Syb)L3 = 3.102M.statis = 1/6 (Sya2-Syb2)L3 = 8.653M.inersia = 1/9 (Sya3+Syb3)L3 = 25.381

e = -0.097 m e/2 = -0.05Io = 4158.527 m4

Ikor = 6.310 m4Io-Ikor = 4152.217 m4

MBj = 0.465 m

SUDUT = 80 SARAT = 1.626 Volume = 1939.058859 m3



3After Body (L1 = 4.0675 m)


51.12 -6.36 201.03 47.70 790.53 -35.72Area = 1/3 (Sya + Syb)L1 = 60.693M.statis = 1/6 (Sya2-Syb2)L1 = 103.944M.inersia = 1/9 (Sya3+Syb3)L1 = 341.131


T1 1 3.93 3.35 3.93 3.35 15.46 11.24 60.81 37.68T2 4 3.93 4.29 15.73 17.17 61.86 73.71 243.24 316.39T3 2 3.93 4.29 7.86 8.59 30.93 36.85 121.62 158.19T4 4 3.93 4.29 15.73 17.17 61.86 73.71 243.24 316.39T5 2 3.93 4.29 7.86 8.59 30.93 36.85 121.62 158.19T6 4 3.93 4.29 15.73 17.17 61.86 73.71 243.24 316.39T7 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

66.85 72.03 262.88 306.061033.7

7 1303.23





D1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.027 m e/2 = 0.01Io = 3491.741 m4

Ikor = 0.444 m4Io-Ikor = 3491.297 m4

MBj = 1.801 m




9 Volume =4148.43536


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 4.04 -3.03 16.15 -12.14 65.24 36.82 263.46 -111.72B3 2 4.04 -1.81 8.08 -3.61 32.62 6.53 131.73 -11.81B4 4 4.04 -0.04 16.15 -0.16 65.24 0.01 263.46 0.00B5 2 4.04 3.62 8.08 7.25 32.62 26.25 131.73 95.10B6 4 4.04 4.19 16.15 16.75 65.24 70.11 263.46 293.50B7 1 4.04 4.19 4.04 4.19 16.31 17.53 65.87 73.38



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 4.04 4.19 4.04 4.19 16.31 17.53 65.87 73.38T2 4 4.04 4.19 16.15 16.75 65.24 70.11 263.46 293.50T3 2 4.04 4.19 8.08 8.37 32.62 35.05 131.73 146.75T4 4 4.04 4.19 16.15 16.75 65.24 70.11 263.46 293.50T5 2 4.04 4.19 8.08 8.37 32.62 35.05 131.73 146.75T6 4 4.04 4.19 16.15 16.75 65.24 70.11 263.46 293.50



T7 1 4.04 4.19 4.04 4.19 16.31 17.53 65.87 73.3872.69 75.36 293.57 315.48 1185.59 1320.77



D1 1 4.04 4.19 4.04 4.19 16.31 17.53 65.87 73.38D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = 0.050 m e/2 = 0.02513

Io =4103.58

9 m4Ikor = 1.819 m4

Io-Ikor =4101.77

0 m4MBj = 0.989 m








Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3T1 1 3.87 4.35 3.87 4.35 15.01 18.93 58.15 82.36T2 4 3.87 4.35 15.50 17.40 60.04 75.72 232.62 329.43T3 2 3.87 4.35 7.75 8.70 30.02 37.86 116.31 164.72T4 4 3.87 4.35 15.50 17.40 60.04 75.72 232.62 329.43



T5 2 3.87 4.35 7.75 8.70 30.02 37.86 116.31 164.72T6 4 3.87 4.35 15.50 17.40 60.04 75.72 232.62 329.43T7 1 3.87 4.22 3.87 4.22 15.01 17.78 58.15 74.95

69.74 78.18 270.18 339.58 1046.77 1475.04

Area = 1/3 (Sya + Syb)L2 =598.241254

3M.statis = 1/6 (Sya2-Syb2)L2 = -140.329


2


D1 1 3.87 4.22 3.87 4.22 15.01 17.78 58.15 74.95D2 4 3.87 2.40 15.50 9.58 60.04 22.95 232.62 54.99D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = -0.044 m e/2 = -0.022

Io =4258.80

9 m4Ikor = 1.512 m4

Io-Ikor =4257.29

7 m4MBj = 0.658 m






B2 4 3.80 -3.44 15.19-

13.75 57.68 47.28219.0

6 -162.56

B3 2 3.80 -2.15 7.60 -4.31 28.84 9.27109.5

3 -19.97

B4 4 3.80 -1.07 15.19 -4.27 57.68 4.56219.0

6 -4.87

B5 2 3.80 0.16 7.60 0.33 28.84 0.05109.5

3 0.01

B6 4 3.80 1.70 15.19 6.78 57.68 11.50219.0

6 19.49B7 1 3.80 3.26 3.80 3.26 14.42 10.65 54.76 34.77

64.56-

11.96 245.16 83.32930.9






T2 4 3.80 4.43 15.19 17.71 57.68 78.41219.0

6 347.14

T3 2 3.80 4.43 7.60 8.85 28.84 39.20109.5

3 173.57

T4 4 3.80 4.43 15.19 17.71 57.68 78.41219.0

6 347.14

T5 2 3.80 4.43 7.60 8.85 28.84 39.20109.5

3 173.57

T6 4 3.80 4.43 15.19 17.71 57.68 78.41219.0

6 347.14T7 1 3.80 -2.91 3.80 -2.91 14.42 8.46 54.76 -24.60

68.36 71.19 259.58 332.74985.7

51398.7



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3D1 1 3.80 -2.91 3.80 -2.91 14.42 8.46 54.76 -24.60D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

3.80 -2.91 14.42 8.46 54.76 -24.60




e = -0.053 m e/2 = -0.03Io = 3589.436 m4

Ikor = 1.817 m4Io-Ikor = 3587.619 m4

MBj = 0.401 m



50.00 -6.13 192.33 36.15 739.79 -29.14





T1 1 3.85 2.83 3.85 2.83 14.79 8.00 56.91 22.65T2 4 3.85 4.25 15.39 17.01 59.18 72.37 227.63 307.84T3 2 3.85 4.25 7.69 8.51 29.59 36.19 113.81 153.92T4 4 3.85 4.25 15.39 17.01 59.18 72.37 227.63 307.84T5 2 3.85 4.25 7.69 8.51 29.59 36.19 113.81 153.92T6 4 3.85 4.25 15.39 17.01 59.18 72.37 227.63 307.84T7 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00



D1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00D3 1 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 0.00Area = 1/3 (Sya + Syb)L3 = 0.000




e = 0.004 m e/2 = 0.00Io = 3315.986 m4


= 3315.977 m4MBj = 1.710 m


9 Volume =4148.43536


Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 3.93 -2.65 15.71 -10.59 61.74 28.02 242.53 -74.16B3 2 3.93 -1.59 7.86 -3.18 30.87 5.07 121.27 -8.07B4 4 3.93 0.07 15.71 0.27 61.74 0.02 242.53 0.00B5 2 3.93 3.05 7.86 6.10 30.87 18.57 121.27 56.61B6 4 3.93 3.90 15.71 15.60 61.74 60.81 242.53 237.08



B7 1 3.93 4.17 3.93 4.17 15.43 17.40 60.63 72.5866.79 12.36 262.38 129.89 1030.77 284.03






D1 1 3.93 3.89 3.93 3.89 15.43 15.17 60.63 59.08D2 4 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00



D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003.93 3.89 15.43 15.17 60.63 59.08


e = 0.032 m e/2 = 0.02Io = 3865.22 m4

Ikor = 0.744 m4

Io-Ikor =3864.47

9 m4MBj = 0.932 m



Station S Ya Yb Sya Syb Sya2 SYb2 Sya3 SYb3B1 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00B2 4 3.86 -1.83 15.43 -7.33 59.54 13.42 229.71 -24.58B3 2 3.86 -0.63 7.72 -1.26 29.77 0.80 114.86 -0.50



B4 4 3.86 1.84 15.43 7.37 59.54 13.56 229.71 24.98B5 2 3.86 3.94 7.72 7.88 29.77 31.03 114.86 122.20B6 4 3.86 4.24 15.43 16.97 59.54 71.97 229.71 305.31B7 1 3.86 4.24 3.86 4.24 14.88 17.99 57.43 76.33




69.45 76.35 267.93 323.89 1033.70 1373.90Area = 1/3 (Sya + Syb)L2 = 589.67838M.statis = 1/6 (Sya2-Syb2)L2 = -113.159


9




D1 1 3.86 4.24 3.86 4.24 14.88 17.99 57.43 76.33D2 4 3.86 3.66 15.43 14.63 59.54 53.54 229.71 195.85D3 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00


e = -0.052 m e/2 = -0.03

Io =4178.39

8 m4Ikor = 2.121 m4

Io-Ikor =4176.27

7 m4MBj = 0.646 m






B2 4 3.79 -3.69 15.16-

14.77 57.49 54.56217.9

5 -201.51

B3 2 3.79 -2.31 7.58 -4.62 28.74 10.66108.9

7 -24.61

B4 4 3.79 -1.17 15.16 -4.67 57.49 5.45217.9

5 -6.36

B5 2 3.79 0.12 7.58 0.24 28.74 0.03108.9

7 0.00

B6 4 3.79 2.00 15.16 8.00 57.49 16.01217.9

5 32.04B7 1 3.79 3.52 3.79 3.52 14.37 12.36 54.49 43.44

64.45-

12.30 244.33 99.07926.2




T2 4 3.79 4.31 15.16 17.24 57.49 74.27217.9

5 320.01

T3 2 3.79 4.31 7.58 8.62 28.74 37.13108.9

7 160.00

T4 4 3.79 4.31 15.16 17.24 57.49 74.27217.9

5 320.01

T5 2 3.79 4.31 7.58 8.62 28.74 37.13108.9

7 160.00



T6 4 3.79 4.31 15.16 17.24 57.49 74.27217.9

5 320.01T7 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

64.45 72.46 244.33 309.42926.2

91323.4





e = -0.053 m e/2 = -0.03Io = 3380.669 m4

Ikor = 1.760 m4Io-Ikor = 3378.909 m4

MBj = 0.378 m




Tugas Merancang Kapal 2014Stabilitas Kapal

Volume =

1939.058859 m3

Sarat =

1.6263

j MBjcos

jMBj cosj

INT ( y ) sin j

MBj sinj INT y j

zj- zc

yj .cosj

(zj- zc)sinj Lc ym

Zm - Zc

rad 1 2 3 4 5 6 7 8 9 10 11 12 13 14 150.0000 0 15.271

1.000 15.271 0.000

0.000 0.000

0.000

0.000

0.000 0.000 0.000

0.000

0.000

15.271

0.1745 10 13.455

0.985 13.251 28.521

0.174 2.336

2.336

2.496

0.204 2.458 0.035

2.493

0.160

13.455

0.3490 20 7.879

0.940 7.404 49.176

0.342 2.694

7.366

4.303

0.643 4.044 0.220

4.263

1.609 8.047

0.5235 30 5.673

0.866 4.913 61.494

0.500 2.836

12.897

5.381

1.125 4.660 0.563

5.223

2.545 6.039

0.6980 40 4.905

0.766 3.758 70.165

0.643 3.152

18.885

6.139

1.648 4.704 1.059

5.763

2.987 5.405

0.8725 50 4.798

0.643 3.085 77.008

0.766 3.675

25.713

6.738

2.243 4.332 1.718

6.050

3.063 5.328

1.0470 60 2.611

0.500 1.306 81.398

0.866 2.261

31.648

7.122

2.761 3.562 2.391

5.954

4.862 4.067

1.2215 70 2.079

0.342 0.712 83.416

0.940 1.954

35.863

7.299

3.129 2.498 2.940

5.438

5.345 3.841

1.3960 80 1.801

0.174 0.313 84.440

0.985 1.773

39.589

7.389

3.454 1.285 3.402

4.686

5.615 3.767

1.5705 90 1.710

0.000 0.001 84.754

1.000 1.710

43.073

7.416

3.758 0.002 3.758

3.760

5.706 3.759

Volume =

4148.435364 m3

Sarat =

3.2889

j MBj cos MBj INT ( y sin j MBj INT y j zj- yj .co (zj- Lc ym Zm -



j cosj ) sinj zc sj zc)sinj Zcrad 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

0.0000 0 7.522

1.000 7.522 0.000

0.000 0.000

0.000

0.000

0.000 0.000 0.000

0.000

0.000 7.522

0.1745 10 7.925

0.985 7.805 15.326

0.174 1.376

1.376

1.341

0.120 1.321 0.021

1.342

-0.03

5 7.925

0.3490 20 8.250

0.940 7.752 30.883

0.342 2.821

5.573

2.702

0.486 2.539 0.166

2.706

-0.11

9 8.2390.5235 30 6.476

0.866 5.609 44.245

0.500 3.238

11.632

3.871

1.015 2.787 0.507

3.295

0.634 6.624

0.6980 40 3.314

0.766 2.539 52.393

0.643 2.130

16.999

4.584

1.483 3.163 0.953

4.116

2.455 4.022

0.8725 50 2.022

0.643 1.300 56.231

0.766 1.549

20.677

4.920

1.804 3.163 1.382

4.545

3.371 3.104

1.0470 60 1.443

0.500 0.722 58.253

0.866 1.250

23.476

5.097

2.048 2.549 1.774

4.323

3.847 2.770

1.2215 70 1.149

0.342 0.393 59.369

0.940 1.080

25.806

5.195

2.252 1.778 2.116

3.893

4.115 2.645

1.3960 80 0.989

0.174 0.172 59.934

0.985 0.974

27.859

5.244

2.431 0.912 2.394

3.306

4.271 2.603

1.5705 90 0.932

0.000 0.000 60.106

1.000 0.932

29.765

5.259

2.597 0.002 2.597

2.599

4.328 2.597

0.72 0.69

Volume =

6465.481437 m3

Sarat =

4.9514

j MBjcos

jMBj cosj

INT ( y ) sin j

MBj sinj INT y j

zj- zc

yj .cosj

(zj- zc)sinj Lc ym

Zm - Zc



rad 1 2 3 4 5 6 7 8 9 10 11 12 13 14 150.0000 0 5.174

1.000 5.174 0.000

0.000 0.000

0.000

0.000

0.000 0.000 0.000

0.000

0.000 5.174

0.1745 10 5.587

0.985 5.502 10.676

0.174 0.970

0.970

0.934

0.085 0.920 0.015

0.935

-0.03

6 5.587

0.3490 20 6.306

0.940 5.925 22.103

0.342 2.156

4.096

1.934

0.357 1.644 0.122

1.766

-0.22

2 6.2830.5235 30 3.733

0.866 3.233 31.262

0.500 1.866

8.119

2.735

0.708 1.723 0.354

2.077

0.869 3.941

0.6980 40 2.073

0.766 1.588 36.083

0.643 1.332

11.317

3.157

0.987 1.989 0.635

2.624

1.825 2.575

0.8725 50 1.289

0.643 0.828 38.499

0.766 0.987

13.636

3.369

1.190 2.166 0.911

3.077

2.382 2.018

1.0470 60 0.925

0.500 0.463 39.790

0.866 0.801

15.424

3.482

1.346 1.741 1.165

2.907

2.680 1.809

1.2215 70 0.741

0.342 0.254 40.507

0.940 0.697

16.922

3.544

1.476 1.213 1.387

2.600

2.848 1.730

1.3960 80 0.658

0.174 0.115 40.875

0.985 0.648

18.267

3.577

1.594 0.622 1.570

2.192

2.928 1.708

1.5705 90 0.646

0.000 0.000 40.990

1.000 0.646

19.561

3.587

1.707 0.001 1.707

1.708

2.941 1.707

0.630.85

Volume =

8936.273991 m3

Sarat = 6.61

j MBjcos

jMBj cosj

INT ( y ) sin j

MBj sinj INT y j

zj- zc

yj .cosj

(zj- zc)sinj Lc ym

Zm - Zc



rad 1 2 3 4 5 6 7 8 9 10 11 12 13 14 150.0000 0 4.289

1.000 4.289 0.000

0.000 0.000

0.000

0.000

0.000 0.000 0.000

0.000

0.000 4.289

0.1745 10 4.019

0.985 3.958 8.247

0.174 0.698

0.698

0.722

0.061 0.711 0.011

0.721

0.024 4.019

0.3490 20 1.980

0.940 1.861 14.066

0.342 0.677

2.073

1.231

0.181 0.775 0.062

0.837

0.554 2.042

0.5235 30 1.305

0.866 1.131 17.058

0.500 0.653

3.403

1.493

0.297 0.896 0.148

1.044

0.840 1.427

0.6980 40 1.015

0.766 0.777 18.966

0.643 0.652

4.707

1.660

0.411 0.996 0.264

1.260

1.007 1.188

0.8725 50 0.761

0.643 0.489 20.233

0.766 0.583

5.942

1.770

0.518 1.138 0.397

1.535

1.187 1.008

1.0470 60 0.568

0.500 0.284 21.006

0.866 0.492

7.017

1.838

0.612 0.919 0.530

1.449

1.346 0.896

1.2215 70 0.465

0.342 0.159 21.449

0.940 0.437

7.945

1.877

0.693 0.642 0.651

1.294

1.440 0.852

1.3960 80 0.401

0.174 0.070 21.678

0.985 0.395

8.777

1.897

0.766 0.330 0.754

1.084

1.501 0.836

1.5705 90 0.378

0.000 0.000 21.748

1.000 0.378

9.551

1.903

0.833 0.001 0.833

0.834

1.525 0.833



LC Diagram

jVolume Displacement

1939.06 4148.44 6465.48 8936.27

0 0.000 0.000 0.000 0.000

10 2.493 1.342 0.935 0.721

20 4.263 2.706 1.766 0.837

30 5.223 3.295 2.077 1.044

40 5.763 4.116 2.624 1.260



50 6.050 4.545 3.077 1.535

60 5.954 4.323 2.907 1.449

70 5.438 3.893 2.600 1.294

80 4.686 3.306 2.192 1.084

90 3.760 2.599 1.708 0.834

PANTO CARANE



0.00 2000.00 4000.00 6000.00 8000.00 10000.00

0.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

DIAGRAM PANTO CARENE0

10

20

30

40

50

60

70

80

90DISPLACEMENT (m3)

LE

NG

AN

KO

PE

L (

m)

BAB VPERHITUNGAN TANKI



DAN RUANG MUAT

Pada perhitungan tanki, pengkondisian tanki hampir sama dengan pengkondisian kapal pada perhitungan Ya dan Yb, yaitu dibagi

menjadi kondisi 0, 1/3, 2/3, dan full. Sedangkan posisi tangki dan ruang muat pada kapal dapat dilihat pada gambar.

Gambar 5.1 Tanki dan Ruang Muat

LUBRICATION OIL TANKNo Faktor Faktor 0 mWL 0.2167 mWL 0.4333 mWL



Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s

( n ) ( s ) y = ys' ys y ys ys'y = ys' ys

A 0 1 4.81 4.81 5.40 5.40 21.60 5.91 5.91 32.322 32.322 0.000 34.935 206.488B 1 4 4.86 19.46 5.45 21.79 21.79 5.96 23.83 32.608 130.434 130.434 141.910 845.259C 2 2 4.91 9.83 5.49 10.99 21.98 6.00 12.00 32.892 65.783 131.566 72.034 432.302D 3 4 4.96 19.85 5.54 22.16 22.16 6.05 24.18 33.171 132.682 398.046 146.207 883.937E 4 1 5.01 5.01 5.59 5.59 22.35 6.09 6.09 33.446 33.446 133.786 37.083 225.822

ys 58.955 65.925 72.011 164.438 394.667 793.831 432.17 2593.808

s' 1 4 1( ys )s' 58.955 263.700 72.011 394.667

n' 0 1 2( ys )s'n' 0.000 263.700 144.023 407.723

Jarak ordinat horisontal = 0.163 mTinggi sarat (d) = 0.000 mJarak ordinat vertikal ( = 0.217 m

Berat jenis muatan ( = 0.900 ton/m3

Jarak sekat ke midship (e) = -23.480 mPERHITUNGAN TANGKI MINYAK LUMAS

V = 2/9 x x x (ys')s = 3.088 m3

W = V x = 2.780 tonOG = (ys')sn / (ys')s x +e = -23.807 mKG = (ys)s'n' / (ys)s' x + d = 0.224 m

Ixx = 2 x 1/3 x 1/3 x x (y3s) = 93.665 m4

A = 2/3 x x (ys) = 7.801 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 23.409 m3

Jarak titik berat Y = Sx /A = 3.001 mMomen Inersia Permukaan Cairan pada Tangki :

Ix'x' = Ixx - ( A x Y2 ) = 23.422 m4

Ixx kiri dan kanan = 2 x Ix'x' = 46.843 m4

0 mWL ~ 0,4333 mWL

Garis air Berat Vertikal Horizontal



KG Momen OG Momen

0 mWL ~ 0,4333 mWL 2.780 0.224 0.622 -23.807 -66.172

Total 2.780 0.622 -66.172

KG = 0.224 mOG = -23.807 m

Ixx = 46.843 m4

LUBRICATION OIL TANKNo Faktor Faktor 0.4333 mWL 0,65 mWL 0.8667 mWL





A 0 1 5.91 5.91 6.35 6.35 25.41 6.73 6.73 38.045 38.045 0.000 45.258 304.468B 1 4 5.96 23.83 6.40 25.59 25.59 6.78 27.11 38.325 153.300 153.300 183.695 1244.844C 2 2 6.00 12.00 6.44 12.89 25.77 6.83 13.65 38.602 77.204 154.407 93.178 635.993D 3 4 6.05 24.18 6.49 25.96 25.96 6.87 27.50 38.875 155.500 466.501 189.013 1299.294E 4 1 6.09 6.09 6.53 6.53 26.13 6.92 6.92 39.146 39.146 156.583 47.915 331.676

ys 72.011 77.320 81.904 192.992 463.195 930.791 559.059 3816.275

s' 1 4 1( ys )s' 72.011 309.279 81.904 463.195

n' 0 1 2( ys )s'n' 0.000 309.279 163.808 473.087




V = 2/9 x x x (ys')s = 3.625 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 137.810 m4

A = 2/3 x x (ys) = 8.873 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 30.282 m3


Ix'x' = Ixx - ( A x Y2 ) = 34.459 m4


0 mWL ~ 0.8667 mWL




KG Momen OG Momen

0 mWL ~ 0,4333 mWL 2.780 0.224 0.622 -23.807 -66.172

0,4333 mWL ~ 0.8667 mWL 3.262 0.655 2.136 -23.807 -77.661

Total 6.042 2.758 -143.833

KG = 0.456 mOG = -23.807 m

Ixx = 68.919 m4



LUBRICATION OIL TANK



No Faktor Faktor 0.8667 mWL 1,0833 mWL 1,30 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 6.73 6.73 6.99 6.99 27.94 7.17 7.17 41.836 41.836 0.000 51.337 367.831B 1 4 6.78 27.11 7.03 28.14 28.14 7.21 28.84 42.122 168.488 168.488 207.936 1499.221C 2 2 6.83 13.65 7.08 14.16 28.33 7.25 14.51 42.407 84.813 169.626 105.267 763.703D 3 4 6.87 27.50 7.13 28.52 28.52 7.30 29.20 42.690 170.760 512.279 213.148 1555.940E 4 1 6.92 6.92 7.18 7.18 28.71 7.34 7.34 42.972 42.972 171.887 53.942 396.175

ys 81.904 84.976 87.059 212.026 508.868 1022.280 631.631 4582.870

s' 1 4 1( ys )s' 81.904 339.905 87.059 508.868

n' 0 1 2( ys )s'n' 0.000 339.905 174.117 514.022

Tinggi sarat (d) = 0.867 mJarak ordinat vertikal ( = 0.217 m



V = 2/9 x x x (ys')s = 3.982 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 165.493 m4

A = 2/3 x x (ys) = 9.431 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 34.213 m3


Ix'x' = Ixx - ( A x Y2 ) = 41.379 m4




0 mWL ~ 1,30 mWL


KG Momen OG Momen

0,00 mWL ~ 1,00 mWL 6.042 0.456 2.758 -23.807 -143.833

1,00 mWL ~ 1,50 mWL 3.584 1.086 3.891 -23.806 -85.318

Total 9.626 6.648 -229.151

KG = 0.691 mOG = -23.807 m

Ixx = 82.759 m4



1 2 3

BERAT (ton)

2.779537492875 6.04170055775 9.62552784765

KG (m) 0.223868838018935 0.45645350529981 0.690698811870916

OG (m) -23.8068520890423 -23.8066859549507 -23.8065985470707

Ixx (m4) 46.8430613464646 68.9189815027007 82.7589330090066

-30.000

-10.000

10.000

30.000

50.000

70.000

90.000

LUBRICANT OIL TANK

BERAT (ton)KG (m)OG (m)Ixx (m4)

BERAT (ton) KG (m) OG (m) Ixx (m4)

2.780 0.224 -23.807 46.8436.042 0.456 -23.807 68.919

9.626 0.691 -23.807 82.759

AFTER PEAK TANK



No Faktor Faktor 5.85 mWL 6.225 mWL 6.6 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s

( n ) ( s ) y = ys' ys y ys ys' y = ys' ysA 0 1 0.00 0.00 1.63 1.63 6.52 2.56 2.56 9.078 9.078 0.000 6.554 16.779B 1 4 0.00 0.00 2.96 11.85 11.85 3.95 15.82 15.805 63.218 63.218 62.555 247.382C 2 2 0.00 0.00 4.24 8.47 16.95 5.23 10.45 22.175 44.350 88.700 54.643 285.619D 3 4 0.00 0.00 5.42 21.66 21.66 6.31 25.25 27.977 111.906 335.719 159.40 1006.20E 4 1 0.00 0.00 6.45 6.45 25.79 7.18 7.18 32.977 32.977 131.908 51.620 370.874

ys 0.000 1.186 50.066 4.744 61.268 108.011 261.530 619.546 334.77 1926.855

s' 1 4 1( ys )s' 0.000 200.262 61.268 261.530

n' 0 1 2( ys )s'n' 0.000 200.262 122.535 322.798



Jarak sekat ke midship (e) = -51.748 mPERHITUNGAN AFTER PEAK TANK

V = 2/9 x x x (ys')s = 29.620 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 581.953 m4

A = 2/3 x x (ys) = 55.513 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 151.661 m3


Ix'x' = Ixx - ( A x Y2 ) = 167.612 m4


5.85 mWL ~ 6.6 mWL




KG Momen OG Momen

5.85 mWL ~ 6.6 mWL 30.361 6.313 191.664 -54.967 -1668.854

Total 30.361 191.664 -1668.854

KG = 6.313 mOG = -54.967 m

Ixx = 335.224 m4



AFTER PEAK TANKNo Faktor Faktor 6.6 mWL 6.975 mWL 7.35 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 2.56 2.56 3.91 3.91 15.66 4.97 4.97 23.189 23.189 0.000 24.696 122.726B 1 4 3.95 15.82 5.05 20.22 20.22 5.87 23.47 30.038 120.153 120.153 137.682 807.767C 2 2 5.23 10.45 6.09 12.18 24.36 6.69 13.37 36.272 72.543 145.086 89.421 597.924D 3 4 6.31 25.25 6.96 27.84 27.84 7.38 29.51 41.532 166.128 498.384 217.77 1606.87E 4 1 7.18 7.18 7.64 7.64 30.58 7.92 7.92 45.685 45.685 182.739 62.76 497.19

ys 61.268 71.796 79.247 176.716 427.698 946.363 532.33 3632.48

s' 1 4 1( ys )s' 61.268 287.184 79.247 427.698

n' 0 1 2( ys )s'n' 0.000 287.184 158.494 445.678




V = 2/9 x x x (ys')s = 48.440 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 1097.090 m4

A = 2/3 x x (ys) = 71.803 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 241.165 m3


Ix'x' = Ixx - ( A x Y2 ) = 287.087 m4




6.6 mWL ~ 7.35 mWL


KG Momen OG Momen

5.85 mWL ~ 6.6 mWL 30.361 6.313 191.664 -54.967 -1668.854

6.6 mWL ~ 7.35 mWL 49.651 6.991 347.101 -54.755 -2718.652

Total 80.012 538.766 -4387.506

KG = 6.734 mOG = -54.835 m

Ixx = 574.173 m4



AFTER PEAK TANKNo Faktor Faktor 7.35 mWL 7.725 mWL 8.1 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 4.97 4.97 5.50 5.50 21.99 5.77 5.77 32.729 32.729 0.000 33.336 192.470B 1 4 5.87 23.47 6.30 25.21 25.21 6.54 26.18 37.618 150.470 150.470 171.33 1121.27C 2 2 6.69 13.37 7.03 14.06 28.12 7.23 14.47 42.043 84.087 168.173 104.68 757.34D 3 4 7.38 29.51 7.63 30.53 30.53 7.79 31.16 45.702 182.806 548.419 242.75 1891.06E 4 1 7.92 7.92 8.09 8.09 32.37 8.20 8.20 48.487 48.487 193.949 67.19 550.70

ys 79.247 83.388 85.779 206.578 498.579 1061.011 619.28 4512.84

s' 1 4 1( ys )s' 79.247 333.553 85.779 498.579

n' 0 1 2( ys )s'n' 0.000 333.553 171.558 505.111




V = 2/9 x x x (ys')s = 56.468 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 1362.979 m4

A = 2/3 x x (ys) = 77.721 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 280.554 m3


Ix'x' = Ixx - ( A x Y2 ) = 350.252 m4




7.35 mWL ~8.1 mWL

Garis air Berat Vertikal HorizontalKG Momen OG Momen

6.6 mWL ~ 7.35 mWL 80.012 6.734 538.766 -54.835 -4387.5067.35 mWL ~8.1 mWL 57.880 7.730 447.407 -54.640 -3162.546

Total 137.892 986.172 -7550.052

KG = 7.152 mOG = -54.753 m

Ixx = 700.504 m4



1 2 3

BERAT (ton)

30.3609632145833 80.01238136675 137.892313606125

KG (m) 6.31284976866899 6.73352714426741 7.15175750715141

OG (m) -54.9671113967805

-54.8353394594303

-54.7532456890738

Ixx (m4) 335.224427790043 574.173479283755 700.504473676742

-50.00050.000

150.000250.000350.000450.000550.000650.000750.000

AFTER PEAK TANK



30.361 6.313 -54.967 335.22480.012 6.734 -54.835 574.173

137.892 7.152 -54.753 700.504

FORE PEAK TANK



No Faktor Faktor 2.30 mWL 3.2667 mWL 4.2333 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


ys 19.076 19.725 20.279 50.408 118.253 149.897 48.017 130.073

s' 1 4 1( ys )s' 19.076 78.898 20.279 118.253

n' 0 1 2( ys )s'n' 0.000 78.898 40.558 119.456



Jarak sekat ke midship (e) = 46.130 mPERHITUNGAN FORE PEAK TANK

V = 2/9 x x x (ys')s = 46.173 m3

W = V x = 47.327 tonOG = (ys')sn / (ys')s x +e = 48.434 mKG = (ys)s'n' / (ys)s' x + d = 3.277 m

Ixx = 2 x 1/3 x 1/3 x x (y3s) = 52.538 m4

A = 2/3 x x (ys) = 24.573 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 29.092 m3


Ix'x' = Ixx - ( A x Y2 ) = 18.096 m4


2.3 mWL ~ 4.2333 mWL




KG Momen OG Momen

2.3 mWL ~ 4.2333 mWL 47.327 3.277 155.070 48.434 2292.269

Total 47.327 155.070 2292.269

KG = 3.277 mOG = 48.434 m

Ixx = 36.193 m4



FORE PEAK TANKNo Faktor Faktor 4.2333 mWL 5.20 mWL 6.1667 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


ys 20.279 20.751 21.312 53.036 124.593 158.307 52.915 150.145

s' 1 4 1( ys )s' 20.279 83.003 21.312 124.593

n' 0 1 2( ys )s'n' 0.000 83.003 42.623 125.626




V = 2/9 x x x (ys')s = 48.649 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 60.645 m4

A = 2/3 x x (ys) = 25.824 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 32.059 m3


Ix'x' = Ixx - ( A x Y2 ) = 20.845 m4


4.2333 mWL ~ 6.1667 mWL




KG Momen OG Momen

2.3 mWL ~ 4.2333 mWL 47.327 3.277 155.070 48.434 2292.269

4.2333 mWL ~ 6.1667 mWL 49.865 5.208 259.698 48.440 2415.443

Total 97.193 414.768 4707.712

KG = 4.267 mOG = 48.437 m

Ixx = 41.689 m4



FORE PEAK TANKNo Faktor Faktor 6.1667 mWL 7.1333 mWL 8.10 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


ys 21.312 22.279 23.629 56.591 134.055 174.356 61.868 183.161

s' 1 4 1( ys )s' 21.312 89.114 23.629 134.055

n' 0 1 2( ys )s'n' 0.000 89.114 47.259 136.373




V = 2/9 x x x (ys')s = 52.343 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 73.981 m4

A = 2/3 x x (ys) = 28.632 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 37.484 m3


Ix'x' = Ixx - ( A x Y2 ) = 24.909 m4




6.1667 mWL ~ 8.1 mWL

Garis air Berat Vertikal HorizontalKG Momen OG Momen

4.2333 mWL ~ 6.1667 mWL 97.193 4.267 414.768 48.437 4707.7126.1667 mWL ~ 8.1 mWL 53.652 7.150 383.616 48.494 2601.799

Total 150.844 798.384 7309.511

KG = 5.293 mOG = 48.457 m

Ixx = 49.818 m4

1 2 3

BERAT (ton)

47.3274986262898 97.192527290213 150.844260124454

KG (m) 3.27653433908653 4.2674864428653 5.29276890019689

OG (m) 48.4341789576586 48.4369712514459 48.4573365590602

Ixx (m4) 36.1925379386479 41.6894394368861 49.8182384092481

10.00030.00050.00070.00090.000

110.000130.000150.000

FORE PEAK TANK





47.327 3.277 48.434 36.19397.193 4.267 48.437 41.689

150.844 5.293 48.457 49.818

DIESEL OIL TANKNo Faktor Faktor 0 mWL 0,2167 mWL 0,4333 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 4.400 4.40 4.988 4.99 19.95 5.513 5.51 29.866 29.866 0.000 30.390 167.530B 1 4 4.453 17.81 5.043 20.17 20.17 5.566 22.27 30.190 120.761 120.761 123.939 689.895C 2 2 4.506 9.01 5.096 10.19 20.38 5.619 11.24 30.510 61.020 122.039 63.153 354.876D 3 4 4.558 18.23 5.149 20.60 20.60 5.671 22.69 30.825 123.301 369.904 128.655 729.639E 4 1 4.610 4.61 5.201 5.20 20.80 5.723 5.72 31.136 31.136 124.545 32.748 187.405

ys 54.070 61.147 67.425 152.527 366.084 737.249 378.885 2129.345

s' 1 4 1( ys )s' 54.070 244.589 67.425 366.08

n' 0 1 2( ys )s'n' 0.000 244.589 134.849 379.44





Jarak sekat ke midship (e) = -24.780 mPERHITUNGAN TANGKI MINYAK DIESEL

V = 2/9 x x x (ys')s = 2.877 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 77.130 m4

A = 2/3 x x (ys) = 7.327 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 20.586 m3


Ix'x' = Ixx - ( A x Y2 ) = 19.289 m4


DIESEL OIL TANKNo Faktor Faktor 0,4333 mWL 0,65 mWL 0.8667 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 5.51 5.51 5.957 5.96 23.83 6.322 6.32 35.663 35.663 0.000 39.965 252.652B 1 4 5.57 22.27 6.009 24.04 24.04 6.373 25.49 35.977 143.908 143.908 162.481 1035.556C 2 2 5.62 11.24 6.061 12.12 24.24 6.425 12.85 36.289 72.577 145.154 82.559 530.431D 3 4 5.67 22.69 6.112 24.45 24.45 6.476 25.90 36.597 146.386 439.159 167.759 1086.427E 4 1 5.72 5.72 6.163 6.16 24.65 6.527 6.53 36.901 36.901 147.605 42.602 278.061

ys 67.425 72.729 77.097 181.426 435.435 875.826 495.366 3183.127

s' 1 4 1( ys )s' 67.425 290.914 77.097 435.44

n' 0 1 2( ys )s'n' 0.000 290.914 154.193 445.11






V = 2/9 x x x (ys')s = 3.423 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 115.300 m4

A = 2/3 x x (ys) = 8.378 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 26.915 m3


Ix'x' = Ixx - ( A x Y2 ) = 28.832 m4





DIESEL OIL TANKNo Faktor Faktor 0.8667 mWL 1,0833 mWL 1,30 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 6.32 6.32 6.600 6.60 26.40 6.809 6.81 39.532 39.532 0.000 46.364 315.696B 1 4 6.37 25.49 6.648 26.59 26.59 6.853 27.41 39.819 159.276 159.276 187.838 1287.197C 2 2 6.42 12.85 6.696 13.39 26.78 6.897 13.79 40.106 80.212 160.423 95.123 656.019D 3 4 6.48 25.90 6.744 26.98 26.98 6.941 27.76 40.393 161.572 484.717 192.688 1337.368E 4 1 6.53 6.53 6.792 6.79 27.17 6.985 6.98 40.680 40.680 162.721 48.787 340.770

ys 77.097 80.354 82.760 200.530 481.272 967.137 570.800 3937.051

s' 1 4 1( ys )s' 77.097 321.415 82.760 481.27

n' 0 1 2( ys )s'n' 0.000 321.415 165.520 486.94

Jarak ordinat horisontal = 0.163 m




V = 2/9 x x x (ys')s = 3.783 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 142.609 m4

A = 2/3 x x (ys) = 8.993 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 31.013 m3


Ix'x' = Ixx - ( A x Y2 ) = 35.658 m4



1 2 3

BERAT (ton)

2.5897478957 5.67010429496 9.07471796994

KG (m) 0.224916381645171 0.458629983588657 0.694099116574512

OG (m) -25.1082626897962 -25.1080412856193 -25.1078590622773

Ixx (m4) 38.5782405125716 57.664686606307 71.315941096006

-30.000

-10.000

10.000

30.000

50.000

70.000

DIESEL OIL TANK

BERAT (ton)

KG (m)

OG (m)

Ixx (m4)


2.590 0.225 -25.108 38.5785.670 0.459 -25.108 57.665

9.075 0.694 -25.108 71.316

FUEL OIL TANK



No Faktor Faktor 0 mWL 0,2167 mWL 0,4333 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


ys 42.055 48.616 54.951 121.44 291.468 617.118 253.7081180.78

2

s' 1 4 1( ys )s' 42.055 194.462 54.951 291.47

n' 0 1 2( ys )s'n' 0.000 194.462 109.90 304.36



Jarak sekat ke midship (e) = -27.705 mPERHITUNGAN TANGKI MINYAK B. BAKAR

V = 2/9 x x x (ys')s = 13.685 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 255.84 m4

A = 2/3 x x (ys) = 35.718 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 82.455 m3


Ix'x' = Ixx - ( A x Y2 ) = 65.49 m4



FUEL OIL TANK



No Faktor Faktor 0,4333 mWL 0,65 mWL 0.8667 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 3.86 3.86 4.358 4.36 17.43 4.794 4.79 26.085 26.085 0.000 22.982 110.178B 1 4 4.22 16.87 4.711 18.84 18.84 5.133 20.53 28.194 112.774 112.774 105.374 540.844C 2 2 4.58 9.16 5.063 10.13 20.25 5.466 10.93 30.298 60.596 121.191 59.750 326.581D 3 4 4.94 19.77 5.408 21.63 21.63 5.793 23.17 32.368 129.472 388.417 134.226 777.545E 4 1 5.29 5.29 5.743 5.74 22.97 6.113 6.11 34.375 34.375 137.499 37.366 228.413

ys 54.951 60.703 65.540 151.32 363.302 759.881 359.699 1983.561

s' 1 4 1( ys )s' 54.951 242.811 65.540 363.30

n' 0 1 2( ys )s'n' 0.000 242.811 131.08 373.89




V = 2/9 x x x (ys')s = 17.058 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 429.77 m4

A = 2/3 x x (ys) = 42.601 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 116.90 m3


Ix'x' = Ixx - ( A x Y2 ) = 108.98 m4





FUEL OIL TANKNo Faktor Faktor 0.8667 mWL 1,0833 mWL 1,30 mWL Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


A 0 1 4.79 4.79 5.188 5.19 20.75 5.511 5.51 31.058 31.058 0.000 30.368 167.348B 1 4 5.13 20.53 5.512 22.05 22.05 5.820 23.28 32.999 131.996 131.996 135.504 788.671C 2 2 5.47 10.93 5.820 11.64 23.28 6.105 12.21 34.850 69.701 139.402 74.552 455.169D 3 4 5.79 23.17 6.117 24.47 24.47 6.374 25.50 36.637 146.547 439.642 162.532 1036.043E 4 1 6.11 6.11 6.408 6.41 25.63 6.636 6.64 38.381 38.381 153.524 44.030 292.160

ys 65.540 69.752 73.136 173.92 417.682 864.563 446.985 2739.391

s' 1 4 1( ys )s' 65.540 279.006 73.136 417.68

n' 0 1 2( ys )s'n' 0.000 279.006 146.27 425.28

Jarak ordinat horisontal = 0.975 m




V = 2/9 x x x (ys')s = 19.611 m3


Ixx = 2 x 1/3 x 1/3 x x (y3s) = 593.53 m4

A = 2/3 x x (ys) = 47.538 m2

Sx = 2 x 1/2 x 1/3 x x (y2s) = 145.27 m3


Ix'x' = Ixx - ( A x Y2 ) = 149.61 m4




13.411 0.226 -29.769 130.97830.128 0.465 -29.755 217.956

49.346 0.707 -29.743 299.221

FreshwaterNo Faktor Faktor 5.85 mWL 6.225 mWL 6.6 mWL S S S



A 0 1 1.01 1.01 1.63 1.63 6.52 2.56 2.56 10.091 10.091 0.000 6.554 16.779

B 1 4 2.13 8.50 2.96 11.8511.8

5 3.95 15.82 17.930 71.720 71.720 62.555 247.382

C 2 2 3.24 6.47 4.24 8.4716.9

5 5.23 10.45 25.412 50.824 101.648 54.643 285.619

D 3 4 4.35 17.39 5.42 21.6621.6

6 6.31 25.25 32.323 129.292 387.877 159.396 1006.201

E 4 1 5.41 5.41 6.45 6.4525.7

9 7.18 7.18 38.386 38.386 153.545 51.620 370.874

Sys 38.784 50.066 61.268 124.143 300.314 714.790 334.768 1926.855

s' 1 4 1S( ys )s' 38.784 200.262 61.268 300.314

n' 0 1 2S( ys )s'n' 0.000 200.262 122.535 322.798

Tinggi sarat (d) = 5.850 mJarak ordinat vertikal (b) = 0.375 mJarak sekat ke midship (e) = -45.667 m



PERHITUNGAN TANGKI BALLAST II

V = 2/9 x a x b x S(ys')s = 42.07 m3

W = V x g = 42.07 tonOG = S(ys')sn / S(ys')s x a+e = -41.67 mKG = S(ys)s'n' / S(ys)s' x b + d = 6.25 m

Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 719.83 m4

A = 2/3 x a x S(ys) = 68.66 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 187.59 m3

Jarak titik berat Y = Sx /A = 2.73 mMomen Inersia Permukaan Cairan pada Tangki : KG = 6.253 m

Ix'x' = Ixx - ( A x Y2 ) = 207.32 m4 OG = -41.666 m

Ixx kiri dan kanan = 2 x Ix'x' = 414.65 m4 Ixx = 414.646 m4

FreshwaterNo Faktor Faktor 6.6 mWL 6.975 mWL 7.35 mWL S S S



A 0 1 2.56 2.56 3.91 3.9115.6

6 4.97 4.97 23.189 23.189 0.000 24.696 122.726

B 1 4 3.95 15.82 5.05 20.2220.2

2 5.87 23.47 30.038 120.153 120.153 137.682 807.767

C 2 2 5.23 10.45 6.09 12.1824.3

6 6.69 13.37 36.272 72.543 145.086 89.421 597.924

D 3 4 6.31 25.25 6.96 27.8427.8

4 7.38 29.51 41.532 166.128 498.384 217.775 1606.874

E 4 1 7.18 7.18 7.64 7.6430.5

8 7.92 7.92 45.685 45.685 182.739 62.760 497.188Sys 61.268 71.796 79.247 176.716 427.698 946.363 532.334 3632.480

s' 1 4 1S( ys )s' 61.268 287.184 79.247 427.698

n' 0 1 2



S( ys )s'n' 0.000 287.184 158.494 445.678Jarak ordinat horisontal (a) = 1.681 mTinggi sarat (d) = 6.600 mJarak ordinat vertikal (b) = 0.375 mJarak sekat ke midship (e) = -45.667 m


V = 2/9 x a x b x S(ys')s = 59.92 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 1357.01 m4

A = 2/3 x a x S(ys) = 88.81 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 298.30 m3


Ix'x' = Ixx - ( A x Y2 ) = 355.10 m4 OG = -41.831 m

Ixx kiri dan kanan = 2 x Ix'x' = 710.21 m4 Ixx = 710.208 m4Freshwater

No Faktor Faktor 7.35 mWL 7.725 mWL 8.1 mWL S S S



A 0 1 4.97 4.97 5.50 5.5021.9

9 5.77 5.77 32.729 32.729 0.000 33.336 192.470

B 1 4 5.87 23.47 6.30 25.2125.2

1 6.54 26.18 37.618 150.470 150.470 171.327 1121.268

C 2 2 6.69 13.37 7.03 14.0628.1

2 7.23 14.47 42.043 84.087 168.173 104.682 757.341

D 3 4 7.38 29.51 7.63 30.5330.5

3 7.79 31.16 45.702 182.806 548.419 242.749 1891.062

E 4 1 7.92 7.92 8.09 8.0932.3

7 8.20 8.20 48.487 48.487 193.949 67.186 550.703



Sys 79.247 83.388 85.779 206.578 498.579 1061.011 619.279 4512.844

s' 1 4 1S( ys )s' 79.247 333.553 85.779 498.579

n' 0 1 2S( ys )s'n' 0.000 333.553 171.558 505.111

Jarak ordinat horisontal (a) = 1.681 mTinggi sarat (d) = 7.350 mJarak ordinat vertikal (b) = 0.375 mJarak sekat ke midship (e) = -45.667 m

PERHITUNGAN FRESHWATER

V = 2/9 x a x b x S(ys')s = 69.847 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 1685.898 m4

A = 2/3 x a x S(ys) = 96.135 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 347.023 m3


Ix'x' = Ixx - ( A x Y2 ) = 433.235 m4 OG = -41.9363485 mIxx kiri dan kanan = 2 x Ix'x' = 866.469 m4 Ixx = 866.4690388 m4



1 2 3

BERAT 42.0714467558333 101.9884284425 171.8351915175

KG 6.25307551736734 6.68645862479483 7.11059711341457

OG -41.6659413276184 -41.8313251572055 -41.9363485141544

Ixx 414.646299431859 710.207516756619 866.469038847746

-100.000

100.000

300.000

500.000

700.000

900.000

FRESH WATER TANK

BERAT

KG

OG

Ixx

BERAT KG OG Ixx42.071 6.253 -41.666 414.646101.988 6.686 -41.831 710.208171.835 7.111 -41.936 866.469



BALLAST TANK I



No Faktor Faktor 0 mWL 0.2167 mWL 0.4333 mWL S S S



A 0 1 4.73 4.73 5.24 5.2420.9

8 6.70 6.70 32.407 32.407 0.000 44.907 300.938

B 1 4 4.05 16.18 4.55 18.2018.2

0 6.01 24.03 28.253113.01

0113.01

0144.34

6 867.114

C 2 2 3.27 6.53 3.77 7.5415.0

9 4.23 8.47 22.590 45.181 90.361 35.854 151.804

D 3 4 2.42 9.69 2.95 11.7811.7

8 3.41 13.63 17.610 70.441211.32

2 46.469 158.384

E 4 1 1.58 1.58 2.12 2.12 8.49 2.57 2.57 12.638 12.638 50.550 6.620 17.034

Sys38.70

6 44.891 55.405113.49

7273.67

5465.24

4278.19

6 1495.274

s' 1 4 1

S( ys )s'38.70

6179.56

4 55.405273.67

5

n' 0 1 2

S( ys )s'n' 0.000179.56

4 110.809290.37

4

Jarak ordinat horisontal (a) = 1.788 mTinggi sarat (d) = 0.000 mJarak ordinat vertikal (b) = 0.217 m

Jarak sekat ke midship (e) =38.27

0 mPERHITUNGAN TANGKI BALLAST I

V = 2/9 x a x b x S(ys')s = 23.56 m3

W = V x g = 24.15 tonOG = S(ys')sn / S(ys')s x a+e = 41.31 mKG = S(ys)s'n' / S(ys)s' x b + d = 0.23 m

Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =593.9

6 m4



A = 2/3 x a x S(ys) = 66.02 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) =165.7

6 m3


Ix'x' = Ixx - ( A x Y2 ) =177.8

1 m4 OG = 41.3087201 m

Ixx kiri dan kanan = 2 x Ix'x' =355.6

1 m4 Ixx = 355.613213 m4BALLAST TANK I




A 0 1 6.70 6.70 6.09 6.0924.3

5 6.40 6.40 37.453 37.453 0.000 41.019 262.710

B 1 4 6.01 24.03 5.41 21.6321.6

3 5.75 23.00 33.391 133.565 133.565 132.287 760.755

C 2 2 4.23 8.47 4.65 9.3018.6

0 5.02 10.03 27.850 55.700 111.400 50.319 252.393

D 3 4 3.41 13.63 3.82 15.2915.2

9 4.19 16.76 22.890 91.561 274.682 70.231 294.282

E 4 1 2.57 2.57 2.96 2.9611.8

3 3.29 3.29 17.695 17.695 70.781 10.831 35.647

Sys 55.405 55.269 59.492 139.279 335.973 590.428 304.687 1605.787

s' 1 4 1S( ys )s' 55.405 221.077 59.492 335.973

n' 0 1 2S( ys )s'n' 0.000 221.077 118.983 340.060

Jarak ordinat horisontal (a) = 1.788 mTinggi sarat (d) = 0.433 mJarak ordinat vertikal (b) = 0.217 mJarak sekat ke midship (e) = 38.270 m



PERHITUNGAN TANGKI BALLAST I

V = 2/9 x a x b x S(ys')s = 28.92 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 637.85 m4

A = 2/3 x a x S(ys) = 70.89 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 181.54 m3


Ix'x' = Ixx - ( A x Y2 ) = 172.97 m4 OG = 41.365246 m

Ixx kiri dan kanan = 2 x Ix'x' = 345.94 m4 Ixx = 345.935647 m4BALLAST TANK I


Ord Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s( n ) ( s ) y = ys' ys y ys ys' y = ys' ys

A 0 1 6.40 6.40 6.63 6.6326.5

2 6.78 6.78 39.706 39.706 0.000 46.010 312.093

B 1 4 5.75 23.00 5.99 23.9523.9

5 6.15 24.59 35.847 143.388 143.388 151.138 929.027

C 2 2 5.02 10.03 5.26 10.5121.0

2 5.41 10.82 31.451 62.902 125.804 58.560 316.874

D 3 4 4.19 16.76 4.42 17.6817.6

8 4.56 18.24 26.430 105.718 317.155 83.167 379.225

E 4 1 3.29 3.29 3.49 3.4913.9

7 3.61 3.61 20.869 20.869 83.477 13.013 46.940

Sys 59.492 62.263 64.039 154.303 372.583 669.824 351.888 1984.160

s' 1 4 1S( ys )s' 59.492 249.052 64.039 372.583

n' 0 1 2S( ys )s'n' 0.000 249.052 128.079 377.131




PERHITUNGAN TANGKI BALLAST I

V = 2/9 x a x b x S(ys')s = 32.07 m3

W = V x g = 32.87 tonOG = S(ys')sn / S(ys')s x a+e = 41.48 mKG = S(ys)s'n' / S(ys)s' x b + d = 1.09 mIxx = 2 x 1/3 x 1/3 x a x S(y3s) = 788.15 m4

A = 2/3 x a x S(ys) = 76.31 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 209.67 m3


Ix'x' = Ixx - ( A x Y2 ) = 212.11 m4 OG = 41.4101159 m




1 2 3

BERAT 24.1463824425236 53.7893178576722 86.6623450040563

KG 0.229922026093686 0.462876859628035 0.699258962489619

OG 41.308720085912 41.365245959641 41.4101159359382

Ixx 355.613212632527 345.935647101077 424.217184123409

25.00075.000

125.000175.000225.000275.000325.000375.000425.000

BALLAST TANK I

BERAT

KG

OG

Ixx

BERAT KG OG Ixx24.146 0.230 41.309 355.61353.789 0.463 41.365 345.936

86.662 0.699 41.410 424.217

BALLAST TANK II





( n ) ( s )y = ys' ys y ys ys'

y = ys' ys

A 0 1 6.90 6.90 7.60 7.6030.4

0 8.06 8.06 45.368 45.368 0.000 65.017 524.250

B 1 4 6.53 26.13 7.19 28.7828.7

8 7.69 30.75 42.998171.99

0171.99

0236.36

6 1816.969

C 2 2 6.09 12.18 6.71 13.4226.8

3 7.19 14.38 40.114 80.228160.45

6103.43

5 743.855

D 3 4 5.51 22.03 6.07 24.2924.2

9 6.54 26.16 36.337145.34

8436.04

4171.04

5 1118.494

E 4 1 4.73 4.73 5.24 5.2420.9

8 5.70 5.70 31.407 31.407125.62

6 32.505 185.320

Sys71.97

2 79.329 85.053196.22

3474.34

1894.11

6608.36

8 4388.889

s' 1 4 1

S( ys )s'71.97

2317.31

6 85.053474.34

1

n' 0 1 2

S( ys )s'n' 0.000317.31

6 170.106487.42

1

Jarak ordinat horisontal (a) = 2.600 mJarak ordinat vertikal (b) = 0.217 mJarak sekat ke midship (e) = 29.495 m


V = 2/9 x a x b x S(ys')s = 59.39 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =2535.8

0 m4

A = 2/3 x a x S(ys) = 147.42 m2



Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 527.25 m3


Ix'x' = Ixx - ( A x Y2 ) = 650.13 m4 OG = 34.3959154 m


7 m4 Ixx = 1300.26602 m4BALLAST TANK II




y = ys' ys

A 0 1 8.06 8.06 8.35 8.3533.4

0 8.52 8.52 49.984 49.984 0.000 72.624 618.906

B 1 4 7.69 30.75 8.02 32.0832.0

8 8.24 32.97 48.008192.03

2 192.032 271.755 2239.942

C 2 2 7.19 14.38 7.56 15.1130.2

3 7.83 15.67 45.254 90.508 181.016 122.734 961.459

D 3 4 6.54 26.16 6.92 27.6827.6

8 7.22 28.87 41.434165.73

7 497.210 208.363 1503.842

E 4 1 5.70 5.70 6.09 6.0924.3

5 6.40 6.40 36.453 36.453 145.812 41.021 262.734

Sys85.05

3 89.307 92.434221.13

3534.71

3 1016.070 716.498 5586.884

s' 1 4 1

S( ys )s'85.05

3357.22

7 92.434534.71

3

n' 0 1 2

S( ys )s'n' 0.000357.22

7 184.868542.09

4Jarak ordinat horisontal (a) = 2.600 mTinggi sarat (d) = 0.433 mJarak ordinat vertikal (b) = 0.217 mJarak sekat ke midship (e) = 29.495 m




V = 2/9 x a x b x S(ys')s = 66.95 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =3227.9

8 m4

A = 2/3 x a x S(ys) = 160.22 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 620.97 m3


Ix'x' = Ixx - ( A x Y2 ) = 821.28 m4 OG = 34.416922 m


6 m4 Ixx = 1642.55815 m4BALLAST TANK II




y = ys' ys

A 0 1 8.52 8.52 8.64 8.6434.5

4 8.71 8.71 51.775 51.775 0.000 75.902 661.277

B 1 4 8.24 32.97 8.38 33.5233.5

2 8.47 33.87 50.234 200.934 200.934 286.787 2428.344

C 2 2 7.83 15.67 8.01 16.0132.0

2 8.11 16.22 47.962 95.924 191.848 131.476 1065.995

D 3 4 7.22 28.87 7.42 29.6729.6

7 7.55 30.19 44.440 177.759 533.276 227.883 1720.039

E 4 1 6.40 6.40 6.63 6.6326.5

2 6.78 6.78 39.706 39.706 158.825 46.010 312.093

Sys92.43

4 94.473 95.772 234.117 566.098 1084.884 768.060 6187.749

s' 1 4 1S( ys )s' 92.43 377.89 95.772 566.098



4 2

n' 0 1 2

S( ys )s'n' 0.000377.89

2 191.545 569.437Jarak ordinat horisontal (a) = 2.600 mTinggi sarat (d) = 0.87 mJarak ordinat vertikal (b) = 0.217 mJarak sekat ke midship (e) = 29.495 m


V = 2/9 x a x b x S(ys')s = 70.878 m3


A = 2/3 x a x S(ys) = 166.005 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 665.652 m3


Ix'x' = Ixx - ( A x Y2 ) = 906.000 m4 OG = 34.4387654 m




1 2 3

BERAT 60.8742772495 129.4964837881 202.146431852444

KG 0.222675850027565 0.450706693408548 0.678551327890896

OG 34.3959153551088 34.416922049952 34.4387654270826

Ixx 1300.26601845306 1642.55815003572 1811.99971122446

100.000300.000500.000700.000900.000

1100.0001300.0001500.0001700.0001900.000

BALLAST TANK II

BERAT

KG

OG

Ixx

BERAT KG OG Ixx60.874 0.223 34.396 1300.266129.496 0.451 34.417 1642.558

202.146 0.679 34.439 1812.000



BALLAST TANK III




A 0 1 7.51 7.51 8.25 8.2533.0

1 8.55 8.55 49.071 49.071 0.000 73.144 625.553

B 1 4 7.51 30.02 8.25 33.0133.0

1 8.55 34.21 49.071196.28

6 196.286292.57

42502.21

1

C 2 2 7.51 15.01 8.25 16.5133.0

1 8.55 17.10 49.071 98.143 196.286146.28

71251.10

6

D 3 4 7.25 29.01 7.98 31.9331.9

3 8.36 33.44 47.541190.16

2 570.487279.56

52337.19

2

E 4 1 6.90 6.90 7.60 7.6030.4

0 8.06 8.06 45.368 45.368 181.471 65.017 524.250

Sys 88.453 97.302 101.371240.12

3579.03

01144.53

0856.58

77240.31

2

s' 1 4 1

S( ys )s' 88.453389.20

7 101.371579.03

0

n' 0 1 2

S( ys )s'n' 0.000389.20

7 202.741591.94

8


PERHITUNGAN TANGKI BALLAST III

V = 2/9 x a x b x S(ys')s = 72.497 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 4183.29 m4



1

A = 2/3 x a x S(ys) = 175.709 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 742.375 m3


Ix'x' = Ixx - ( A x Y2 ) =1046.73

5 m4 OG = 24.2342449 m


9 m4 Ixx = 2093.469 m4BALLAST TANK III




A 0 1 8.55 8.55 8.75 8.7535.0

1 8.89 8.89 52.455 52.455 0.000 79.100 703.497

B 1 4 8.55 34.21 8.75 35.0135.0

1 8.89 35.58 52.455209.81

8 209.818316.39

9 2813.987

C 2 2 8.55 17.10 8.75 17.5035.0

1 8.89 17.79 52.455104.90

9 209.818158.19

9 1406.993

D 3 4 8.36 33.44 8.60 34.3934.3

9 8.75 34.98 51.493205.97

1 617.912305.95

6 2675.831

E 4 1 8.06 8.06 8.35 8.3533.4

0 8.52 8.52 49.984 49.984 199.935 72.624 618.906

Sys 101.371 104.001 105.762 258.840623.13

7 1237.484932.27

8 8219.213

s' 1 4 1S( ys )s' 101.371 416.004 105.762 623.137

n' 0 1 2S( ys )s'n' 0.000 416.004 211.524 627.528

Jarak ordinat horisontal (a) = 2.600 mTinggi sarat (d) = 0.433 mJarak ordinat vertikal (b) = 0.217 m



Jarak sekat ke midship (e) = 19.095 mPERHITUNGAN TANGKI BALLAST III

V = 2/9 x a x b x S(ys')s = 78.019 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 4748.879 m4

A = 2/3 x a x S(ys) = 183.320 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 807.975 m3


Ix'x' = Ixx - ( A x Y2 ) = 1187.777 m4 OG = 24.2467276 m

Ixx kiri dan kanan = 2 x Ix'x' = 2375.554 m4 Ixx = 2375.55373 m4BALLAST TANK III

No Faktor Faktor 0.8667 mWL 1.0833 mWL 1.30 mWL S S SOrd Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s

( n ) ( s ) y = ys' ys y ys ys' y = ys' ys

A 0 1 8.89 8.89 8.99 8.9935.9

7 9.06 9.06 53.925 53.925 0.000 82.053 743.259

B 1 4 8.89 35.58 8.99 35.9735.9

7 9.06 36.23 53.925 215.701 215.701 328.211 2973.035

C 2 2 8.89 17.79 8.99 17.9935.9

7 9.06 18.12 53.925 107.851 215.701 164.106 1486.518

D 3 4 8.75 34.98 8.85 35.3935.3

9 8.92 35.67 53.057 212.226 636.678 318.116 2836.925

E 4 1 8.52 8.52 8.64 8.6434.5

4 8.71 8.71 51.775 51.775 207.100 75.902 661.277Sys 105.762 106.981 107.792 266.607 641.478 1275.180 968.388 8701.014

s' 1 4 1S( ys )s' 105.762 427.924 107.792 641.478

n' 0 1 2



S( ys )s'n' 0.000 427.924 215.584 643.508Jarak ordinat horisontal (a) = 2.600 mTinggi sarat (d) = 0.867 mJarak ordinat vertikal (b) = 0.217 mJarak sekat ke midship (e) = 19.095 m

PERHITUNGAN TANGKI BALLAST III

V = 2/9 x a x b x S(ys')s = 80.316 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 5027.252 m4

A = 2/3 x a x S(ys) = 186.839 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 839.269 m3


Ix'x' = Ixx - ( A x Y2 ) = 1257.311 m4 OG = 24.2525577 mIxx kiri dan kanan = 2 x Ix'x' = 2514.622 m4 Ixx = 2514.62245 m4



1 2 3

berat 74.3095577033333 154.279529148189 236.603336010311

KG 0.221534442533202 0.444418846379624 0.666984678491215

OG 24.2342448750497 24.2467275931865 24.2525576813929

Ixx 2093.4690000783 2375.55373134822 2514.62244559457

250.000

750.000

1250.000

1750.000

2250.000

2750.000

BALLAST TANK III

berat

KG

OG

Ixx

berat KG OG Ixx74.310 0.222 24.234 2093.469154.280 0.444 24.247 2375.554236.603 0.667 24.253 2514.622



BALLAST TANK IV






y = ys' ys

A 0 1 7.51 7.51 8.25 8.2533.0

1 8.55 8.55 49.071 49.071 0.000 73.144 625.553

B 1 4 7.51 30.02 8.25 33.0133.0

1 8.55 34.21 49.071196.28

6 196.286292.57

4 2502.211

C 2 2 7.51 15.01 8.25 16.5133.0

1 8.55 17.10 49.071 98.143 196.286146.28

7 1251.106

D 3 4 7.51 30.02 8.25 33.0133.0

1 8.55 34.21 49.071196.28

6 588.857292.57

4 2502.211

E 4 1 7.51 7.51 8.25 8.2533.0

1 8.55 8.55 49.071 49.071 196.286 73.144 625.553

Sys90.06

0 99.042 102.629245.35

7588.85

7 1177.714877.72

3 7506.634

s' 1 4 1

S( ys )s'90.06

0396.16

8 102.629588.85

7

n' 0 1 2

S( ys )s'n' 0.000396.16

8 205.258601.42

6


PERHITUNGAN TANGKI BALLAST IV

V = 2/9 x a x b x S(ys')s = 73.73 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =4337.1

7 m4



A = 2/3 x a x S(ys) = 177.89 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 760.69 m3


Ix'x' = Ixx - ( A x Y2 ) =1084.2

9 m4 OG = 13.895 m


8 m4 Ixx = 2168.58325 m4BALLAST TANK IV




y = ys' ys

A 0 1 8.55 8.55 8.75 8.7535.0

1 8.89 8.89 52.455 52.455 0.000 79.100 703.497

B 1 4 8.55 34.21 8.75 35.0135.0

1 8.89 35.58 52.455 209.818 209.818 316.399 2813.987

C 2 2 8.55 17.10 8.75 17.5035.0

1 8.89 17.79 52.455 104.909 209.818 158.199 1406.993

D 3 4 8.55 34.21 8.75 35.0135.0

1 8.89 35.58 52.455 209.818 629.455 316.399 2813.987

E 4 1 8.55 8.55 8.75 8.7535.0

1 8.89 8.89 52.455 52.455 209.818 79.100 703.497Sys 102.629 105.025 106.726 262.273 629.455 1258.910 949.196 8441.961

s' 1 4 1S( ys )s' 102.629 420.101 106.726 629.455

n' 0 1 2S( ys )s'n' 0.000 420.101 213.451 633.552





V = 2/9 x a x b x S(ys')s = 78.81 m3

W = V x g = 80.78 tonOG = S(ys')sn / S(ys')s x a+e = 13.90 mKG = S(ys)s'n' / S(ys)s' x b + d = 0.65 mIxx = 2 x 1/3 x 1/3 x a x S(y3s) =

4877.58 m4

A = 2/3 x a x S(ys) = 184.99 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 822.64 m3


Ix'x' = Ixx - ( A x Y2 ) =1219.3

9 m4 OG = 13.895 m


9 m4 Ixx = 2438.78863 m4




BALLAST TANK IVNo Faktor Faktor 0.8667 mWL 1.0833 mWL 1.30 mWL S S S



y = ys' ys

A 0 1 8.89 8.89 8.99 8.9935.9

7 9.06 9.06 53.925 53.925 0.000 82.053 743.259

B 1 4 8.89 35.58 8.99 35.9735.9

7 9.06 36.23 53.925 215.701 215.701 328.211 2973.035

C 2 2 8.89 17.79 8.99 17.9935.9

7 9.06 18.12 53.925 107.851 215.701 164.106 1486.518

D 3 4 8.89 35.58 8.99 35.9735.9

7 9.06 36.23 53.925 215.701 647.104 328.211 2973.035

E 4 1 8.89 8.89 8.99 8.9935.9

7 9.06 9.06 53.925 53.925 215.701 82.053 743.259Sys 106.726 107.920 108.700 269.627 647.104 1294.207 984.634 8919.106

s' 1 4 1S( ys )s' 106.726 431.678 108.700 647.104

n' 0 1 2S( ys )s'n' 0.000 431.678 217.399 649.078



V = 2/9 x a x b x S(ys')s = 81.02 m3


A = 2/3 x a x S(ys) = 188.41 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 853.35 m3


Ix'x' = Ixx - ( A x Y2 ) = 1288.32 m4 OG = 13.895 m



1 2 3

berat 75.5706757138667 156.351529048 239.3972819524

KG 0.221325333289859 0.443533827196974 0.665729604770111

OG 13.895 13.895 13.895

ixx 2168.58325062712 2438.78862971353 2576.63074304233

250.000

750.000

1250.000

1750.000

2250.000

2750.000

BALLAST TANK IV

berat

KG

OG

ixx

berat KG OG ixx

75.571 0.221 13.895 2168.583156.352 0.444 13.895 2438.789239.397 0.666 13.895 2576.631



BALLAST TANK V




y = ys' ys

A 0 1 7.51 7.51 8.25 8.2533.0

1 8.55 8.55 49.071 49.071 0.000 73.144 625.553

B 1 4 7.51 30.02 8.25 33.0133.0

1 8.55 34.21 49.071196.28

6 196.286292.57

4 2502.211

C 2 2 7.51 15.01 8.25 16.5133.0

1 8.55 17.10 49.071 98.143 196.286146.28

7 1251.106

D 3 4 7.51 30.02 8.25 33.0133.0

1 8.55 34.21 49.071196.28

6 588.857292.57

4 2502.211

E 4 1 7.51 7.51 8.25 8.2533.0

1 8.55 8.55 49.071 49.071 196.286 73.144 625.553

Sys90.06

0 99.042 102.629245.35

7588.85

7 1177.714877.72

3 7506.634

s' 1 4 1

S( ys )s'90.06

0396.16

8 102.629588.85

7

n' 0 1 2

S( ys )s'n' 0.000396.16

8 205.258601.42

6


PERHITUNGAN TANGKI BALLAST V

V = 2/9 x a x b x S(ys')s = 73.73 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 4337.1 m4



7

A = 2/3 x a x S(ys) = 177.89 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 760.69 m3


Ix'x' = Ixx - ( A x Y2 ) =1084.2

9 m4 OG = 3.495 m


8 m4 Ixx = 2168.58325 m4BALLAST TANK V




y = ys' ys

A 0 1 8.55 8.55 8.75 8.7535.0

1 8.55 8.55 52.113 52.113 0.000 73.144 625.553

B 1 4 8.55 34.21 8.75 35.0135.0

1 8.55 34.21 52.113 208.453 208.453 292.574 2502.211

C 2 2 8.55 17.10 8.75 17.5035.0

1 8.55 17.10 52.113 104.226 208.453 146.287 1251.106

D 3 4 8.55 34.21 8.75 35.0135.0

1 8.55 34.21 52.113 208.453 625.358 292.574 2502.211

E 4 1 8.55 8.55 8.75 8.7535.0

1 8.55 8.55 52.113 52.113 208.453 73.144 625.553Sys 102.629 105.025 102.629 260.566 625.358 1250.717 877.723 7506.634

s' 1 4 1S( ys )s' 102.629 420.101 102.629 625.358

n' 0 1 2S( ys )s'n' 0.000 420.101 205.258 625.358





V = 2/9 x a x b x S(ys')s = 78.30 m3

W = V x g = 80.26 tonOG = S(ys')sn / S(ys')s x a+e = 3.50 mKG = S(ys)s'n' / S(ys)s' x b + d = 0.65 mIxx = 2 x 1/3 x 1/3 x a x S(y3s) =

4337.17 m4

A = 2/3 x a x S(ys) = 177.89 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 760.69 m3


Ix'x' = Ixx - ( A x Y2 ) =1084.2

9 m4 OG = 3.495 m


8 m4 Ixx = 2168.58325 m4




BALLAST TANK VNo Faktor Faktor 0.8667 mWL 1.0833 mWL 1.30 mWL S S S



y = ys' ys

A 0 1 8.55 8.55 8.99 8.9935.9

7 9.06 9.06 53.584 53.584 0.000 82.053 743.259

B 1 4 8.55 34.21 8.99 35.9735.9

7 9.06 36.23 53.584 214.336 214.336 328.211 2973.035

C 2 2 8.55 17.10 8.99 17.9935.9

7 9.06 18.12 53.584 107.168 214.336 164.106 1486.518

D 3 4 8.55 34.21 8.99 35.9735.9

7 9.06 36.23 53.584 214.336 643.007 328.211 2973.035

E 4 1 8.55 8.55 8.99 8.9935.9

7 9.06 9.06 53.584 53.584 214.336 82.053 743.259Sys 102.629 107.920 108.700 267.920 643.007 1286.014 984.634 8919.106

s' 1 4 1S( ys )s' 102.629 431.678 108.700 643.007

n' 0 1 2S( ys )s'n' 0.000 431.678 217.399 649.078



V = 2/9 x a x b x S(ys')s = 80.51 m3


A = 2/3 x a x S(ys) = 188.41 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 853.35 m3


Ix'x' = Ixx - ( A x Y2 ) = 1288.32 m4 OG = 3.495 m



1 2 3

berat 75.5706757138667 156.351529048 239.3972819524

KG 0.221325333289859 0.443533827196974 0.665729604770111

OG 13.895 13.895 13.895

ixx 2168.58325062712 2438.78862971353 2576.63074304233

250.000

750.000

1250.000

1750.000

2250.000

2750.000

BALLAST TANK V

berat

KG

OG

ixx

berat KG OG ixx75.571 0.221 3.495 2168.583155.826 0.442 3.495 2168.583238.346 0.665 3.495 2576.631



BALLAST TANK VINo Faktor Faktor 0 mWL 0.2167 mWL 0.4333 mWL S S S



A 0 1 6.36 6.36 6.98 6.9827.9

0 7.52 7.52 41.782 41.782 0.000 56.502 424.716

B 1 4 6.76 27.04 7.48 29.9229.9

2 8.04 32.14 44.722178.88

6 178.886258.30

3 2075.695

C 2 2 7.18 14.35 7.92 15.8331.6

6 8.35 16.70 47.189 94.379 188.757139.50

2 1165.077

D 3 4 7.51 30.02 8.25 33.0133.0

1 8.55 34.21 49.071196.28

6 588.857292.57

4 2502.211

E 4 1 7.51 7.51 8.25 8.2533.0

1 8.55 8.55 49.071 49.071 196.286 73.144 625.553

Sys 85.282 93.999 99.126231.83

5560.40

4 1152.786820.02

5 6793.253

s' 1 4 1

S( ys )s' 85.282375.99

6 99.126560.40

4

n' 0 1 2

S( ys )s'n' 0.000375.99

6 198.252574.24

8Jarak ordinat horisontal (a) = 2.6 mTinggi sarat (d) = 0 mJarak ordinat vertikal (b) = 0.217 mJarak sekat ke midship (e) = -12.105 m

PERHITUNGAN TANGKI BALLAST VI

V = 2/9 x a x b x S(ys')s = 70.17 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3924.9 m4



9

A = 2/3 x a x S(ys) = 171.82 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 710.69 m3


Ix'x' = Ixx - ( A x Y2 ) = 985.38 m4 OG = -6.75663488 m


7 m4 Ixx = 1970.769345 m4BALLAST TANK VI



A 0 1 7.52 7.52 7.92 7.9231.7

0 8.24 8.24 47.450 47.450 0.000 67.819 558.499

B 1 4 8.04 32.14 8.37 33.4733.4

7 8.55 34.20 50.058 200.231 200.231 292.342 2499.228

C 2 2 8.35 16.70 8.62 17.2434.4

8 8.76 17.52 51.593 103.185 206.370 153.391 1343.338

D 3 4 8.55 34.21 8.75 35.0135.0

1 8.89 35.58 52.455 209.818 629.455 316.399 2813.987

E 4 1 8.55 8.55 8.75 8.7535.0

1 8.89 8.89 52.455 52.455 209.818 79.100 703.497

Sys 99.126102.39

9 104.415 254.009 613.139 1245.874 909.050 7918.549

s' 1 4 1

S( ys )s' 99.126409.59

8 104.415 613.139

n' 0 1 2

S( ys )s'n' 0.000409.59

8 208.831 618.428Jarak ordinat horisontal (a) = 2.6 mTinggi sarat (d) = 0.4333 m



Jarak ordinat vertikal (b) = 0.2167 mJarak sekat ke midship (e) = -12.105 m


V = 2/9 x a x b x S(ys')s = 76.77 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 4575.16 m4

A = 2/3 x a x S(ys) = 180.99 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 787.84 m3






BALLAST TANK VINo Faktor Faktor 0.8667 mWL 1.0833 mWL 1.30 mWL S S S



A 0 1 8.24 8.24 8.42 8.4233.6

9 8.55 8.55 50.474 50.474 0.000 73.020 623.974

B 1 4 8.55 34.20 8.68 34.7234.7

2 8.78 35.14 52.052 208.207 208.207 308.656 2711.324

C 2 2 8.76 17.52 8.86 17.7335.4

5 8.95 17.89 53.155 106.310 212.620 160.087 1432.249

D 3 4 8.89 35.58 8.99 35.9735.9

7 9.06 36.23 53.925 215.701 647.104 328.211 2973.035

E 4 1 8.89 8.89 8.99 8.9935.9

7 9.06 9.06 53.925 53.925 215.701 82.053 743.259Sys 104.415 105.834 106.867 263.531 634.618 1283.632 952.027 8483.842

s' 1 4 1S( ys )s' 104.415 423.335 106.867 634.618

n' 0 1 2S( ys )s'n' 0.000 423.335 213.735 637.069



V = 2/9 x a x b x S(ys')s = 79.457 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 4901.78 m4

A = 2/3 x a x S(ys) = 185.24 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 825.09 m3




1 2 3

BERAT 71.9191597711889 150.606055163056 232.049409973333

KG 0.222053390439785 0.446618693332368 0.670406349078622

OG -6.75663488392386 -6.79073397213991 -6.81013658083356

Ixx 1970.76934544614 2291.29299852153 2453.23844130309

-250.000

250.000

750.000

1250.000

1750.000

2250.000

2750.000

BALLAST TANK VI

BERAT

KG

OG

Ixx

BERAT KG OG Ixx71.919 0.222 -6.757 1970.769150.606 0.447 -6.791 2291.293

232.049 0.670 -6.810 2453.238


BALLAST TANK VIINo Faktor Faktor 0 mWL 0.2167 mWL 0.4333 mWL S S SOrd Moment Simp s' = 1 s' = 4 s' = 1 ys' (ys')s (ys')sn y2s y3s


Sys 69.933 76.722 82.721 191.289 459.544 948.070 571.808 3963.460

s' 1 4 1S( ys )s' 69.933 306.890 82.721 459.544

n' 0 1 2S( ys )s'n' 0.000 306.890 165.442 472.331

Jarak ordinat horisontal (a) = 1.3 mTinggi sarat (d) = 0 mJarak ordinat vertikal (b) = 0.217 mJarak sekat ke midship (e) = -19.905 m

PERHITUNGAN TANGKI BALLAST VIIV = 2/9 x a x b x S(ys')s = 28.77 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 1145.00 m4

A = 2/3 x a x S(ys) = 71.69 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 247.78 m3


Ix'x' = Ixx - ( A x Y2 ) = 288.60 m4 OG = -17.22301 m



BALLAST TANK VIINo Faktor Faktor 0.4333 mWL 0.65 mWL 0.8667 mWL S S S



A 0 1 6.26 6.26 6.71 6.7126.8

3 7.11 7.11 40.198 40.198 0.000 50.548 359.380

B 1 4 6.58 26.32 7.04 28.1428.1

4 7.46 29.84 42.183 168.734 168.734 222.541 1659.909

C 2 2 6.89 13.79 7.35 14.6929.3

9 7.77 15.53 44.045 88.091 176.182 120.606 936.566

D 3 4 7.21 28.83 7.65 30.5830.5

8 8.02 32.09 45.815 183.260 549.779 257.474 2065.715

E 4 1 7.52 7.52 7.92 7.9231.7

0 8.24 8.24 47.450 47.450 189.800 67.819 558.499

Sys 82.721 88.052 92.804 219.692 527.732 1084.494 718.987 5580.069

s' 1 4 1S( ys )s' 82.721 352.208 92.804 527.732

n' 0 1 2S( ys )s'n' 0.000 352.208 185.607 537.815


PERHITUNGAN TANGKI BALLAST VII

V = 2/9 x a x b x S(ys')s = 33.04 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 1612.02 m4

A = 2/3 x a x S(ys) = 80.43 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 311.56 m3




Ix'x' = Ixx - ( A x Y2 ) = 405.12 m4 OG = -17.228612 m

Ixx kiri dan kanan = 2 x Ix'x' = 810.25 m4 Ixx = 810.246524 m4BALLAST TANK VII



A 0 1 7.11 7.11 7.36 7.3629.4

5 7.52 7.52 44.078 44.078 0.000 56.567 425.446

B 1 4 7.46 29.84 7.71 30.8330.8

3 7.85 31.42 46.144 184.576 184.576 246.766 1938.202

C 2 2 7.77 15.53 8.01 16.0132.0

2 8.14 16.29 47.930 95.860 191.721 132.620 1079.939

D 3 4 8.02 32.09 8.24 32.9732.9

7 8.37 33.48 49.359 197.437 592.310 280.295 2346.346

E 4 1 8.24 8.24 8.42 8.4233.6

9 8.55 8.55 50.474 50.474 201.896 73.020 623.974

Sys 92.804 95.592 97.254 237.985 572.425 1170.504 789.269 6413.907

s' 1 4 1S( ys )s' 92.804 382.368 97.254 572.425

n' 0 1 2S( ys )s'n' 0.000 382.368 194.508 576.876


PERHITUNGAN TANGKI BALLAST VIIV = 2/9 x a x b x S(ys')s = 35.835 m3

W = V x g = 36.73 ton



OG = S(ys')sn / S(ys')s x a+e = -17.25 mKG = S(ys)s'n' / S(ys)s' x b + d = 1.09 m

Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 1852.91 m4

A = 2/3 x a x S(ys) = 84.29 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 342.02 m3


Ix'x' = Ixx - ( A x Y2 ) = 465.08 m4 OG = -17.235265 m


1 2 3

BERAT 29.4876682489278 63.3508197520611 100.081786567461

KG 0.222730100271204 0.453333341909117 0.685192145765346

OG -17.2230101914138 -17.2286121891333 -17.235265480961

Ixx 577.198723233175 810.246524029253 930.169133342293

-100.000

100.000

300.000

500.000

700.000

900.000

BALLAST TANK VII

BERAT

KG

OG

Ixx



BERAT KG OG Ixx29.488 0.223 -17.223 577.19963.351 0.453 -17.229 810.247

100.082 0.685 -17.235 930.169

CARGO OIL TANK INo Faktor Faktor 1.30 mWL 2.4333 mWL 3.5667 mWL S S S


A 0 1 5.78 5.78 6.10 6.10 24.38 6.21 6.21 36.369 36.369 0.000 38.512 238.997

B 1 4 5.15 20.59 5.48 21.91 21.91 5.59 22.37 32.645 130.578 130.578 125.086 699.495

C 2 2 4.41 8.82 4.74 9.47 18.95 4.85 9.70 28.209 56.418 112.836 47.074 228.380

D 3 4 3.56 14.24 3.86 15.44 15.44 3.97 15.89 22.975 91.902 275.705 63.133 250.813

E 4 1 2.61 2.61 2.86 2.86 11.46 2.97 2.97 17.037 17.037 68.150 8.838 26.275Sys 52.039 55.781 57.141 137.236 332.305 587.269 282.643 1443.961

s' 1 4 1S( ys )s' 52.039 223.124 57.141 332.305

n' 0 1 2S( ys )s'n' 0.000 223.124 114.283 337.407

Jarak ordinat horisontal (a) = 1.7875 mJarak ordinat vertikal (b) = 1.1333 m

Berat jenis muatan (g) = 0.78 ton/m3

Jarak sekat ke midship (e) = 38.27 m

V = 2/9 x a x b x S(ys')s = 149.59 m3




Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 573.57 m4

A = 2/3 x a x S(ys) = 68.09 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 168.41 m3


Ix'x' = Ixx - ( A x Y2 ) = 157.07 m4 OG = 41.42898 m

Ixx kiri dan kanan = 2 x Ix'x' = 314.13 m4 Ixx = 314.1343 m4CARGO OIL TANK I



A 0 1 6.21 6.21 6.33 6.33 25.32 6.45 6.45 37.980 37.980 0.000 41.595 268.261

B 1 4 5.59 22.37 5.72 22.89 22.89 5.84 23.36 34.320 137.280 137.280 136.474 797.157

C 2 2 4.85 9.70 4.98 9.96 19.92 5.10 10.20 29.873 59.745 119.490 52.042 265.474

D 3 4 3.97 15.89 4.09 16.38 16.38 4.21 16.85 24.562 98.248 294.745 70.954 298.836

E 4 1 2.97 2.97 3.08 3.08 12.32 3.18 3.18 18.475 18.475 73.901 10.140 32.288Sys 57.141 58.635 60.047 145.210 351.729 625.416 311.204 1662.016

s' 1 4 1S( ys )s' 57.141 234.540 60.047 351.729

n' 0 1 2S( ys )s'n' 0.000 234.540 120.094 354.635


Berat jenis muatan (g) = 0.78 ton/m3 0Jarak sekat ke midship (e) = 38.27 m

V = 2/9 x a x b x S(ys')s = 158.34 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 660.19 m4



A = 2/3 x a x S(ys) = 71.56 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 185.43 m3


Ix'x' = Ixx - ( A x Y2 ) = 179.69 m4 OG = 41.43896 m

Ixx kiri dan kanan = 2 x Ix'x' = 359.38 m4 Ixx = 359.3771 m4CARGO OIL TANK I



A 0 1 6.45 6.45 6.55 6.55 26.20 6.66 6.66 39.304 39.304 0.000 44.341 295.262

B 1 4 5.84 23.36 5.99 23.96 23.96 6.05 24.19 35.846 143.384 143.384 146.299 884.771

C 2 2 5.10 10.20 5.20 10.40 20.79 5.31 10.61 31.200 62.400 124.800 56.301 298.716

D 3 4 4.21 16.85 4.31 17.24 17.24 4.42 17.66 25.869 103.474 310.423 77.994 344.396

E 4 1 3.18 3.18 3.28 3.28 13.14 3.39 3.39 19.711 19.711 78.842 11.493 38.965

Sys 60.047 61.428 62.514 151.929 368.273 657.449 336.428 1862.110

s' 1 4 1S( ys )s' 60.047 245.712 62.514 368.273

n' 0 1 2S( ys )s'n' 0.000 245.712 125.028 370.740



V = 2/9 x a x b x S(ys')s = 165.79 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 739.67 m4



A = 2/3 x a x S(ys) = 74.50 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 200.45 m3


Ix'x' = Ixx - ( A x Y2 ) = 200.28 m4 OG = 41.4467 m


1 2 3

BERAT 116.683517298682 240.187498792908 369.500643113268

KG 2.45069964336947 3.61210015725838 4.78872230689867

OG 41.4289772278274 41.4389599924565 41.4467036270713

Ixx 314.134275615241 359.377072542097 400.569662672284

25.00075.000

125.000175.000225.000275.000325.000375.000425.000

CARGO OIL TANK I

BERATKGOGIxx

BERAT KG OG Ixx116.684 2.451 41.429 314.134

240.187 3.61210015741.4389599

9 359.377369.501 4.788722307 41.4467036 400.570



3

CARGO OIL TANK IINo Faktor Faktor 1.30 mWL 2.4333 mWL 3.5667 mWL S S S


A 0 1 7.71 7.71 7.88 7.88 31.51 7.95 7.95 47.18 47.18 0.00 63.20 502.40

B 1 4 7.47 29.87 7.65 30.61 30.61 7.74 30.95 45.82 183.27 183.27 239.41 1852.15

C 2 2 7.11 14.22 7.31 14.62 29.24 7.39 14.78 43.74 87.49 174.97 109.23 807.27

D 3 4 6.55 26.19 6.80 27.21 27.21 6.89 27.58 40.65 162.61 487.83 190.14 1310.90

E 4 1 5.79 5.79 6.10 6.10 24.38 6.21 6.21 36.38 36.38 145.52 38.51 239.00Sys 83.78 86.42 87.46 213.77 516.92 991.59 640.49 4711.71

s' 1 4 1S( ys )s' 83.78 345.68 87.46 516.92

n' 0 1 2S( ys )s'n' 0.00 345.68 174.92 520.60



V = 2/9 x a x b x S(ys')s = 338.48 m3




Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 2722.32 m4

A = 2/3 x a x S(ys) = 151.60 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 555.09 m3


Ix'x' = Ixx - ( A x Y2 ) = 689.81 m4 OG = 34.48249 m

Ixx kiri dan kanan = 2 x Ix'x' = 1379.61 m4 Ixx = 1379.611 m4CARGO OIL TANK II



A 0 1 7.95 7.95 8.00 8.00 32.00 8.01 8.01 47.958 47.958 0.000 64.181 514.173

B 1 4 7.74 30.95 7.81 31.25 31.25 7.86 31.46 46.850 187.398 187.398 247.395 1945.614

C 2 2 7.39 14.78 7.49 14.98 29.95 7.59 15.17 44.930 89.860 179.719 115.092 873.075

D 3 4 6.89 27.58 7.01 28.04 28.04 7.13 28.50 42.057 168.228 504.683 203.097 1447.186

E 4 1 6.21 6.21 6.33 6.33 25.32 6.45 6.45 37.980 37.980 151.920 41.595 268.261Sys 87.460 88.593 89.593 219.775 531.424 1023.720 671.359 5048.309

s' 1 4 1S( ys )s' 87.460 354.372 89.593 531.424

n' 0 1 2S( ys )s'n' 0.000 354.372 179.185 533.557



V = 2/9 x a x b x S(ys')s = 347.97 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 2916.80 m4



A = 2/3 x a x S(ys) = 155.29 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 581.84 m3


Ix'x' = Ixx - ( A x Y2 ) = 736.78 m4 OG = 34.49318 m

Ixx kiri dan kanan = 2 x Ix'x' = 1473.56 m4 Ixx = 1473.561 m4CARGO OIL TANK II



A 0 1 8.01 8.01 8.02 8.02 32.08 8.08 8.08 48.167 48.167 0.000 65.286 527.514

B 1 4 7.86 31.46 7.91 31.64 31.64 7.96 31.82 47.465 189.860 189.860 253.198 2014.469

C 2 2 7.59 15.17 7.68 15.35 30.70 7.76 15.52 46.050 92.100 184.200 120.451 934.758

D 3 4 7.13 28.50 7.23 28.92 28.92 7.34 29.34 43.379 173.517 520.550 215.221 1578.686

E 4 1 6.45 6.45 6.55 6.55 26.20 6.66 6.66 39.304 39.304 157.216 44.341 295.262Sys 89.593 90.482 91.425 224.365 542.947 1051.826 698.497 5350.690

s' 1 4 1S( ys )s' 89.593 361.930 91.425 542.947

n' 0 1 2S( ys )s'n' 0.000 361.930 182.850 544.780



V = 2/9 x a x b x S(ys')s = 355.52 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3091.51 m4



A = 2/3 x a x S(ys) = 158.47 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 605.36 m3


Ix'x' = Ixx - ( A x Y2 ) = 778.99 m4 OG = 34.50637 m


1 2 3

BERAT 264.01158789824 535.431262936267 812.736405436107

KG 2.44136237690533 3.58861178929034 4.00324183143967

OG 34.4824949895458 34.4931780390578 34.5063747448454

Ixx 1379.61077830069 1473.56143387758 1557.97910633027

100.000300.000500.000700.000900.000

1100.0001300.0001500.0001700.000

CARGO OIL TANK II

BERATKGOGIxx

BERAT KG OG Ixx264.012 2.441 34.482 1379.611

535.431 3.58861178934.4931780

4 1473.561

812.736 4.00324183134.5063747

4 1557.979



CARGO OIL TANK IIINo Faktor Faktor 1.30 mWL 2.4333 mWL 3.5667 mWL S S S



A 0 1 8.06 8.06 8.10 8.1032.4

0 8.10 8.10 48.558 48.558 0.000 65.610 531.441

B 1 4 8.06 32.23 8.10 32.4032.4

0 8.10 32.40 48.558194.23

3 194.233262.44

02125.76

4

C 2 2 8.06 16.12 8.10 16.2032.4

0 8.10 16.20 48.558 97.117 194.233131.22

01062.88

2

D 3 4 7.92 31.67 8.02 32.0732.0

7 8.06 32.22 48.045192.17

9 576.536259.59

72091.31

0

E 4 1 7.71 7.71 7.87 7.8731.4

9 7.95 7.95 47.156 47.156 188.625 63.198 502.403

Sys 95.792 96.644 96.874240.87

6579.24

31153.62

8782.06

46313.80

0

s' 1 4 1

S( ys )s' 95.792386.57

8 96.874579.24

3

n' 0 1 2

S( ys )s'n' 0.000386.57

8 193.747580.32

5Jarak ordinat horisontal (a) = 2.60 mJarak ordinat vertikal (b) = 1.13 m




V = 2/9 x a x b x S(ys')s = 379.29 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =3647.9

7 m4

A = 2/3 x a x S(ys) = 167.91 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 677.79 m3

Jarak titik berat Y = Sx /A = 4.04 m

Momen Inersia Permukaan Cairan pada Tangki : KG =2.43541656

2 m

Ix'x' = Ixx - ( A x Y2 ) = 912.07 m4 OG =24.2731925

1 m


4 m4 Ixx =1824.13523

3 m4CARGO OIL TANK III



A 0 1 8.10 8.10 8.10 8.1032.4

0 8.10 8.10 48.600 48.600 0.000 65.610 531.441

B 1 4 8.10 32.40 8.10 32.4032.4

0 8.10 32.40 48.600 194.400 194.400 262.440 2125.764

C 2 2 8.10 16.20 8.10 16.2032.4

0 8.10 16.20 48.600 97.200 194.400 131.220 1062.882

D 3 4 8.06 32.22 8.07 32.3032.3

0 8.07 32.30 48.425 193.700 581.101 260.751 2105.281

E 4 1 7.95 7.95 8.00 8.0032.0

0 8.01 8.01 47.958 47.958 191.833 64.181 514.173

Sys 96.874 96.995 97.007 242.183 581.859 1161.734 784.202 6339.541

s' 1 4 1



S( ys )s' 96.874 387.978 97.007 581.859

n' 0 1 2S( ys )s'n' 0.000 387.978 194.014 581.992



V = 2/9 x a x b x S(ys')s = 381.00 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =3662.8

5 m4

A = 2/3 x a x S(ys) = 168.15 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 679.64 m3


Ix'x' = Ixx - ( A x Y2 ) = 915.74 m4 OG = 24.27967993 m


8 m4 Ixx = 1831.475017 m4CARGO OIL TANK III



A 0 1 8.10 8.10 8.10 8.1032.4

0 8.10 8.10 48.600 48.600 0.000 65.610 531.441

B 1 4 8.10 32.40 8.10 32.4032.4

0 8.10 32.40 48.600 194.400 194.400 262.440 2125.764

C 2 2 8.00 16.00 8.10 16.2032.4

0 8.10 16.20 48.500 97.000 194.000 131.220 1062.882

D 3 4 8.07 32.30 8.08 32.3132.3

1 8.08 32.31 48.458 193.832 581.495 260.965 2107.864



E 4 1 8.01 8.01 8.02 8.0232.0

8 8.03 8.03 48.117 48.117 192.468 64.481 517.782

Sys 96.807 97.026 97.039 242.275 581.949 1162.362 784.716 6345.732

s' 1 4 1S( ys )s' 96.807 388.103 97.039 581.949

n' 0 1 2S( ys )s'n' 0.000 388.103 194.078 582.180



V = 2/9 x a x b x S(ys')s = 381.06 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3666.42 m4

A = 2/3 x a x S(ys) = 168.20 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 680.09 m3





1 2 3

BERAT 295.842980897707 593.021752586293 890.246439848827

KG 2.43541656164457 3.57038879627953 4.7044253917572

OG 24.2731925105034 24.2796799307348 24.282505742089

Ixx 1824.13523339753 1831.47501668131 1833.2451202851

100.000300.000500.000700.000900.000

1100.0001300.0001500.0001700.0001900.000

CARGO OIL TANK III

BERATKGOGIxx

BERAT KG OG Ixx295.843 2.435 24.273 1824.135593.022 3.57038879

624.27967993 1831.475

890.2464.70442539

2 24.28250574 1833.245



CARGO OIL TANK IVNo Faktor Faktor 1.30 mWL 2.4333 mWL 3.5667 mWL S S S



A 0 1 9.06 9.06 8.10 8.1032.4

0 8.10 8.10 49.558 49.558 0.000 65.610 531.441

B 1 4 9.06 36.23 8.10 32.4032.4

0 8.10 32.40 49.558 198.233 198.233 262.440 2125.764

C 2 2 9.06 18.12 8.10 16.2032.4

0 8.10 16.20 49.558 99.117 198.233 131.220 1062.882

D 3 4 9.06 36.23 8.10 32.4032.4

0 8.10 32.40 49.558 198.233 594.700 262.440 2125.764

E 4 1 9.06 9.06 8.10 8.1032.4

0 8.10 8.10 49.558 49.558 198.233 65.610 531.441Sys 108.700 97.200 97.200 247.792 594.700 1189.399 787.320 6377.292

s' 1 4 1S( ys )s' 108.700 388.800 97.200 594.700

n' 0 1 2S( ys )s'n' 0.000 388.800 194.400 583.200

Jarak ordinat horisontal (a) = 2.60 mJarak ordinat vertikal (b) = 1.13 mJarak sekat ke midship (e) = 8.70 m

V = 2/9 x a x b x S(ys')s = 389.407 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3684.658 m4

A = 2/3 x a x S(ys) = 168.480 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 682.344 m3








A 0 1 8.10 8.10 8.10 8.1032.4

0 8.10 8.10 48.600 48.600 0.000 65.610 531.441

B 1 4 8.10 32.40 8.10 32.4032.4

0 8.10 32.40 48.600 194.400 194.400 262.440 2125.764

C 2 2 8.10 16.20 8.10 16.2032.4

0 8.10 16.20 48.600 97.200 194.400 131.220 1062.882

D 3 4 8.10 32.40 8.10 32.4032.4

0 8.10 32.40 48.600 194.400 583.200 262.440 2125.764

E 4 1 7.71 7.71 8.10 8.1032.4

0 8.10 8.10 48.212 48.212 192.849 65.610 531.441Sys 96.812 97.200 97.200 242.612 582.812 1164.849 787.320 6377.292

s' 1 4 1

S( ys )s' 96.812388.80

0 97.200 582.812

n' 0 1 2

S( ys )s'n' 0.000388.80

0 194.400 583.200Jarak ordinat horisontal (a) = 2.60 mJarak ordinat vertikal (b) = 1.13 mJarak sekat ke midship (e) = 8.70 m

V = 2/9 x a x b x S(ys')s = 381.623 m3




Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3684.658 m4

A = 2/3 x a x S(ys) = 168.480 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 682.344 m3






A 0 1 8.10 8.10 8.10 8.1032.4

0 8.10 8.10 48.600 48.600 0.000 65.610 531.441

B 1 4 8.10 32.40 8.10 32.4032.4

0 8.10 32.40 48.600 194.400 194.400 262.440 2125.764

C 2 2 8.10 16.20 8.10 16.2032.4

0 8.10 16.20 48.600 97.200 194.400 131.220 1062.882

D 3 4 8.10 32.40 8.10 32.4032.4

0 8.10 32.40 48.600 194.400 583.200 262.440 2125.764

E 4 1 8.10 8.10 8.10 8.1032.4

0 8.10 8.10 48.600 48.600 194.400 65.610 531.441Sys 97.200 97.200 97.200 243.000 583.200 1166.400 787.320 6377.292

s' 1 4 1S( ys )s' 97.200 388.800 97.200 583.200

n' 0 1 2



S( ys )s'n' 0.000 388.800 194.400 583.200Jarak ordinat horisontal (a) = 2.60 mJarak ordinat vertikal (b) = 1.13 mJarak sekat ke midship (e) = 8.70 m

V = 2/9 x a x b x S(ys')s = 381.877 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3684.658 m4

A = 2/3 x a x S(ys) = 168.480 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 682.344 m3





1 2 3

BERAT 303.73719087712 601.403004738294 899.266883778294

KG 2.41138558021563 3.54451384159377 4.67801033294603

OG 13.895 13.8932874396673 13.8938546904723

Ixx 1842.3288 1842.3288 1842.3288

100.000300.000500.000700.000900.000

1100.0001300.0001500.0001700.0001900.000

CARGO OIL TANK IV

BERATKGOGIxx

BERAT KG OG Ixx303.737 2.411 13.895 1842.329

601.4033.54451384

2 13.89328744 1842.329

899.2674.67801033

3 13.89385469 1842.329



CARGO OIL TANK VNo Faktor Faktor 1.30 mWL 2.4333 mWL 3.5667 mWL S S S


A 0 1 8.06 8.06 8.10 8.10 32.40 8.10 8.10 48.558 48.558 0.000 65.610 531.441

B 1 4 8.06 32.23 8.10 32.40 32.40 8.10 32.40 48.558 194.233 194.233 262.440 2125.764

C 2 2 8.06 16.12 8.10 16.20 32.40 8.10 16.20 48.558 97.117 194.233 131.220 1062.882

D 3 4 8.06 32.23 8.10 32.40 32.40 8.10 32.40 48.558 194.233 582.700 262.440 2125.764

E 4 1 8.06 8.06 8.10 8.10 32.40 8.10 8.10 48.558 48.558 194.233 65.610 531.441Sys 96.700 97.200 97.200 242.792 582.700 1165.399 787.320 6377.292

s' 1 4 1S( ys )s' 96.700 388.800 97.200 582.700

n' 0 1 2S( ys )s'n' 0.000 388.800 194.400 583.200

Jarak ordinat horisontal (a) = 2.60 mJarak ordinat vertikal (b) = 1.13 mJarak sekat ke midship (e) = -1.705 m

V = 2/9 x a x b x S(ys')s = 381.55 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3684.66 m4

A = 2/3 x a x S(ys) = 168.48 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 682.34 m3


Ix'x' = Ixx - ( A x Y2 ) = 921.16 m4 OG = 3.495 m

Ixx kiri dan kanan = 2 x Ix'x' = 1842.33 m4 Ixx = 1842.3288m4



CARGO OIL TANK VNo Faktor Faktor 3.5667 mWL 4.70 mWL 5.8333 mWL S S S


A 0 1 8.10 8.10 8.10 8.10 32.40 8.10 8.10 48.600 48.600 0.000 65.610 531.441

B 1 4 8.10 32.40 8.10 32.40 32.40 8.10 32.40 48.600 194.400 194.400 262.440 2125.764

C 2 2 8.10 16.20 8.10 16.20 32.40 8.10 16.20 48.600 97.200 194.400 131.220 1062.882

D 3 4 8.10 32.40 8.10 32.40 32.40 8.10 32.40 48.600 194.400 583.200 262.440 2125.764

E 4 1 8.10 8.10 8.10 8.10 32.40 8.10 8.10 48.600 48.600 194.400 65.610 531.441

Sys 97.200 97.200 97.200 243.000 583.200 1166.400 787.320 6377.292

s' 1 4 1S( ys )s' 97.200 388.800 97.200 583.200

n' 0 1 2S( ys )s'n' 0.000 388.800 194.400 583.200


V = 2/9 x a x b x S(ys')s = 381.88 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3684.66 m4

A = 2/3 x a x S(ys) = 168.48 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 682.34 m3


Ix'x' = Ixx - ( A x Y2 ) = 921.16 m4 OG = 3.495 m

Ixx kiri dan kanan = 2 x Ix'x' = 1842.33 m4 Ixx = 1842.3288 m4CARGO OIL TANK V






A 0 1 8.10 8.10 8.10 8.10 32.40 8.10 8.10 48.600 48.600 0.000 65.610 531.441

B 1 4 8.10 32.40 8.10 32.40 32.40 8.10 32.40 48.600 194.400 194.400 262.440 2125.764

C 2 2 8.10 8.00 8.10 16.20 32.40 8.10 16.20 48.600 97.200 194.400 131.220 1062.882

D 3 4 8.10 32.40 8.10 32.40 32.40 8.10 32.40 48.600 194.400 583.200 262.440 2125.764

E 4 1 8.10 8.10 8.10 8.10 32.40 8.10 8.10 48.600 48.600 194.400 65.610 531.441

Sys 89.000 97.200 97.200 243.000 583.200 1166.400 787.320 6377.292

s' 1 4 1S( ys )s' 89.000 388.800 97.200 575.000

n' 0 1 2S( ys )s'n' 0.000 388.800 194.400 583.200


V = 2/9 x a x b x S(ys')s = 381.877 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3684.66 m4

A = 2/3 x a x S(ys) = 168.48 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 682.34 m3


Ix'x' = Ixx - ( A x Y2 ) = 921.16 m4 OG = 3.495 m




1 2 3

BERAT 297.60830447712 595.47218351712 893.33606255712

KG 2.4342732344419 3.56762283819293 4.70632818572283

OG 3.495 3.495 3.495

Ixx 1842.3288 1842.3288 1842.3288

100.000300.000500.000700.000900.000

1100.0001300.0001500.0001700.0001900.000

CARGO OIL TANK V

BERATKGOGIxx

BERAT KG OG Ixx297.608 2.434 3.495 1842.329

595.4723.5676228

4 3.495 1842.329

893.3364.7063281

9 3.495 1842.329



CARGO OIL TANK VINo Faktor Faktor 1.30 mWL 2.4333 mWL 3.5667 mWL S S S


( n ) ( s )y = ys' ys y ys ys' y = ys' ys

A 0 1 7.55 7.55 7.79 7.7931.1

6 8.85 8.85 47.564 47.564 0.000 78.384 693.977

B 1 4 7.78 31.14 8.01 32.0432.0

4 9.05 36.21 48.879 195.518 195.518 327.784 2967.230

C 2 2 7.95 15.89 8.08 16.1732.3

3 9.09 18.18 49.368 98.737 197.473 165.271 1502.377

D 3 4 8.06 32.23 8.10 32.4032.4

0 9.10 36.40 49.558 198.233 594.700 331.240 3014.284

E 4 1 8.06 8.06 8.10 8.1032.4

0 9.10 9.10 49.558 49.558 198.233 82.810 753.571

Sys94.86

7 96.500 108.744 244.928 589.609 1185.924 985.489 8931.439

s' 1 4 1

S( ys )s'94.86

7 385.998 108.744 589.609

n' 0 1 2S( ys )s'n' 0.000 385.998 217.488 603.486


V = 2/9 x a x b x S(ys')s = 386.073 m3


Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 5160.387 m4

A = 2/3 x a x S(ys) = 188.489 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 854.090 m3




Ix'x' = Ixx - ( A x Y2 ) = 1290.300 m4 OG = -6.8754321 m

Ixx kiri dan kanan = 2 x Ix'x' = 2580.600 m4 Ixx = 2580.59955 m4CARGO OIL TANK VI




y = ys' ys

A 0 1 8.85 8.85 8.90 8.90 35.62 7.85 7.85 52.327 52.327 0.000 61.677 484.384

B 1 4 9.05 36.21 9.06 36.23 36.23 8.05 32.21 53.338 213.352 213.352 259.365 2088.507

C 2 2 9.09 18.18 9.09 18.18 36.36 8.09 16.18 53.543 107.086 214.171 130.909 1059.107

D 3 4 9.10 36.40 9.10 36.40 36.40 8.10 32.40 53.600 214.400 643.200 262.440 2125.764

E 4 1 9.10 9.10 9.10 9.10 36.40 8.10 8.10 53.600 53.600 214.400 65.610 531.441

Sys108.74

4108.81

9 96.744 266.407 640.764 1285.123 780.001 6289.204

s' 1 4 1

S( ys )s'108.74

4435.27

6 96.744 640.764

n' 0 1 2

S( ys )s'n' 0.000435.27

6 193.488 628.764Jarak ordinat horisontal (a) = 2.60 mTinggi sarat (d) = 3.57 mJarak ordinat vertikal (b) = 1.13 mJarak sekat ke midship (e) = -12.11 m

V = 2/9 x a x b x S(ys')s = 419.570 m3




Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3633.762 m4

A = 2/3 x a x S(ys) = 167.689 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 676.001 m3


Ix'x' = Ixx - ( A x Y2 ) = 908.621 m4 OG = -6.8832342 m

Ixx kiri dan kanan = 2 x Ix'x' = 1817.241 m4 Ixx = 1817.24149 m4CARGO OIL TANK VI



A 0 1 7.85 7.85 8.05 8.0532.2

2 8.08 8.08 48.144 48.144 0.000 65.212 526.614

B 1 4 8.05 32.21 8.07 32.2632.2

6 8.08 32.33 48.397 193.589 193.589 261.327 2112.251

C 2 2 8.09 16.18 8.10 16.2032.4

0 8.10 16.20 48.590 97.181 194.362 131.220 1062.882

D 3 4 8.10 32.40 8.10 32.4032.4

0 8.10 32.40 48.600 194.400 583.200 262.440 2125.764

E 4 1 8.10 8.10 8.10 8.1032.4

0 8.10 8.10 48.600 48.600 194.400 65.610 531.441

Sys 96.744 97.016 97.107 242.332 581.914 1165.550 785.809 6358.952

s' 1 4 1S( ys )s' 96.744 388.063 97.107 581.914

n' 0 1 2S( ys )s'n' 0.000 388.063 194.213 582.276


V = 2/9 x a x b x S(ys')s = 381.035 m3




Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 3674.061 m4

A = 2/3 x a x S(ys) = 168.318 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 681.034 m3


Ix'x' = Ixx - ( A x Y2 ) = 918.519 m4 OG = -6.8877512 m


1 2 3

BERAT 301.13731726624 628.401566515147 925.60848000712

KG 2.45997326781875 3.61549998598799 4.69174340025375

OG -6.87543207602595 -6.88323424986268 -6.88775118771193

Ixx 2580.59955342224 1817.24148887615 1837.03787523087

-250.000

250.000

750.000

1250.000

1750.000

2250.000

2750.000

CARGO OIL TANK VI

BERATKGOGIxx

BERAT KG OG Ixx301.137 2.460 -6.875 2580.600



628.402 3.61549999 -6.8832342 1817.241925.608 4.6917434 -6.8877512 1837.038

CARGO OIL TANK VII

No FaktorFakto

r 1.30 mWL 2.4333 mWL 3.5667 mWL S S S



y = ys' ys

A 0 1 5.81 5.81 6.40 6.4025.5

9 6.84 6.84 38.232 38.232 0.000 46.756 319.705

B 1 4 6.34 25.38 6.81 27.2527.2

5 7.14 28.55 40.733162.93

2 162.932 203.810 1454.815

C 2 2 6.85 13.71 7.20 14.4028.8

0 7.40 14.80 43.052 86.103 172.207 109.499 810.218

D 3 4 7.26 29.06 7.53 30.1330.1

3 7.64 30.55 45.030180.11

9 540.356 233.350 1782.304

E 4 1 7.55 7.55 7.79 7.7931.1

6 7.85 7.85 46.564 46.564 186.254 61.677 484.384

Sys 81.499 85.964 88.594213.61

0513.95

0 1061.749 655.092 4851.427

s' 1 4 1S( ys )s' 81.499 343.85 88.594 513.95



7 0

n' 0 1 2

S( ys )s'n' 0.000343.85

7 177.188521.04

5\ Jarak ordinat horisontal (a) = 1.95 m

Tinggi sarat (d) = 1.30 mJarak ordinat vertikal (b) = 1.13 mJarak sekat ke midship (e) = -21.205 m

V = 2/9 x a x b x S(ys')s = 252.40 m3W = V x g = 196.87 tonOG = S(ys')sn / S(ys')s x a+e = -17.18 mKG = S(ys)s'n' / S(ys)s' x b + d = 2.45 m

Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =2102.2

8 m4

A = 2/3 x a x S(ys) = 115.17 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 425.81 m3Jarak titik berat Y = Sx /A = 3.70 mMomen Inersia Permukaan Cairan pada Tangki : KG = 2.448945 m

Ix'x' = Ixx - ( A x Y2 ) = 528.00 m4 OG = -17.176571 m


9 m4 Ixx = 1055.9922 m4CARGO OIL TANK VII




A 0 1 6.84 6.84 7.26 7.2629.0

2 7.70 7.70 43.556 43.556 0.000 59.215 455.662

B 1 4 7.14 28.55 7.45 29.8029.8

0 7.78 31.12 44.718 178.874 178.874 242.132 1883.862

C 2 2 7.40 14.80 7.60 15.2130.4

2 7.85 15.71 45.670 91.339 182.678 123.330 968.472

D 3 4 7.64 30.55 7.75 31.01 31.0 7.92 31.69 46.570 186.281 558.842 251.001 1988.302



1

E 4 1 7.85 7.85 7.90 7.9031.6

2 7.99 7.99 47.462 47.462 189.848 63.823 509.872

Sys 88.594 91.180 94.197 227.976 547.511 1110.242 739.500 5806.169

s' 1 4 1

S( ys )s' 88.594364.72

1 94.197 547.511

n' 0 1 2

S( ys )s'n' 0.000364.72

1 188.393 553.114Jarak ordinat horisontal (a) = 1.95 mTinggi sarat (d) = 3.57 mJarak ordinat vertikal (b) = 1.13 mJarak sekat ke midship (e) = -21.205 m

V = 2/9 x a x b x S(ys')s = 268.88 m3W = V x g = 209.73 tonOG = S(ys')sn / S(ys')s x a+e = -17.25 mKG = S(ys)s'n' / S(ys)s' x b + d = 4.71 m

Ixx = 2 x 1/3 x 1/3 x a x S(y3s) = 2516.01 m4

A = 2/3 x a x S(ys) = 122.46 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 480.67 m3Jarak titik berat Y = Sx /A = 3.93 mMomen Inersia Permukaan Cairan pada Tangki : KG = 3.6160413 mIx'x' = Ixx - ( A x Y2 ) = 629.21 m4 OG = -17.214856 m

Ixx kiri dan kanan = 2 x Ix'x' = 1258.43 m4 Ixx = 1258.4271 m4CARGO OIL TANK VII






A 0 1 7.70 7.70 8.01 8.0132.0

6 8.04 8.04 47.796 47.796 0.000 64.667 520.029

B 1 4 7.78 31.12 8.03 32.1432.1

4 8.06 32.23 47.975 191.900 191.900 259.693 2092.478

C 2 2 7.85 8.00 8.04 16.0932.1

7 8.07 16.13 48.091 96.182 192.363 130.111 1049.437

D 3 4 7.92 31.69 8.05 32.1932.1

9 8.07 32.28 48.184 192.736 578.209 260.538 2102.701

E 4 1 7.99 7.99 8.05 8.0532.2

2 8.08 8.08 48.280 48.280 193.118 65.212 526.614

Sys 86.491 96.484 96.761 240.325 576.893 1155.590 780.222 6291.258

s' 1 4 1S( ys )s' 86.491 385.936 96.761 569.188

n' 0 1 2S( ys )s'n' 0.000 385.936 193.522 579.458


Berat jenis muatan (g) = 0.78 ton/m3 0Jarak sekat ke midship (e) = -21.205 m

V = 2/9 x a x b x S(ys')s =283.31

0 m3W = V x g = 220.98 tonOG = S(ys')sn / S(ys')s x a+e = -17.30 mKG = S(ys)s'n' / S(ys)s' x b + d = 6.99 m

Ixx = 2 x 1/3 x 1/3 x a x S(y3s) =2726.2

1 m4

A = 2/3 x a x S(ys) = 125.79 m2

Sx = 2 x 1/2 x 1/3 x a x S(y2s) = 507.14 m3Jarak titik berat Y = Sx /A = 4.03 mMomen Inersia Permukaan Cairan pada Tangki : KG = 4.8030317 mIx'x' = Ixx - ( A x Y2 ) = 681.56 m4 OG = -17.24445 m




1

1 2 3

BERAT 196.87132283 406.59848285602 627.58061495038

KG 2.448945030645 3.61604134640613 4.80303172664055

OG -17.176571281253 -17.2148558279986 -17.2444504926192

Ixx 1055.99215160778 1258.42709614728 1363.11099148817

-100.000100.000300.000500.000700.000900.000

1100.0001300.0001500.000

CARGO OIL TANK VII

BERATKGOGIxx

BERAT KG OG Ixx196.871 2.449 -17.177 1055.992406.598 3.6160413 -17.214856 1258.427627.581 4.8030317 -17.24445 1363.111





BAB VILC DIAGRAM

Dibawah ini merupakan contoh LC gambar, dan dijadikan sebagai referensi

pembanding dalam perhitungan LC gambar pada laporan ini.

Gambar 4.1 Contoh output perhitungan LC

Data Kapal

Lpp = 99.01 meter

Bmoulded = 18.2 meter

Hmoulded = 8.1 meter

T = 6.6 meter

Vd = 12,60 knot

DWT = 6940 ton

Cb = 0.75

Tipe = Oil Tanker Ship


Tugas Merancang Kapal IV 2014Stabilitas kapal

KONDISI KAPAL : IKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 100 %

FUEL OIL : 100 %

LUB. OIL : 100 %

DIESEL OIL : 100 %

PROVISION : 100 %

FRESH WATER : 100 %

BALLAST WATER : 0 %Bagian Berat FG Momen KG Momen I g Ig

(ton) (m) (ton.m) (m) (ton.m) (m4) (ton/m3) (ton.m)Kapal Kosong 1987.54 -5.80 -11518.71 5.33 10600.33 0.00 0.00 0.00Ruang Muat I 369.50 41.45 15314.58 4.79 1769.44 400.57 0.78 312.44Ruang Muat II 812.74 34.51 28044.59 4.00 3253.58 1557.98 0.78 1215.22Ruang Muat III 890.25 24.28 21617.41 4.70 4188.10 1833.25 0.78 1429.93Ruang Muat IV 899.27 13.89 12494.28 4.68 4206.78 1842.33 0.78 1437.02Ruang Muat V 893.34 3.50 3122.21 4.71 4204.33 1842.33 0.78 1437.02Ruang Muat VI 925.61 -6.89 -6375.36 4.69 4342.72 1837.04 0.78 1432.89Ruang Muat VII 710.32 -17.25 -12254.10 4.79 3404.05 1935.75 0.78 1509.89T. Fuel Oil 49.35 -29.74 -1467.70 0.71 34.90 299.22 0.98 293.24T. Diesel Oil 9.07 -25.11 -227.85 0.69 6.30 71.32 0.90 64.18T. Lub. Oil 9.63 -23.81 -229.15 0.69 6.65 82.76 0.90 74.48T. Air Tawar 171.84 -41.94 -7206.14 7.11 1221.85 866.47 1.025 888.13T. Ballast I 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast II 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00



T. Ballast III 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast IV 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast V 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast VI 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast VII 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. After Peak 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Fore Peak 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00

S1 = 7728.43 S2 = 41314.07 S3 = 37239.03 S4 = 10094.44

Lpp = 99.010 m. B = 18.200 m. FG = S2 / S1Displacement = 7728.433 ton. DT = 2.443 m. Ta = Tr + DTaFG = 5.346 m. Dta = -1.237 m. Tf = Tr - DTfTr = 2.915 m. Ta = 1.678 m. DTa = (Lpp/2 - FF)(DT/Lpp)FF = -0.641 m. DTf = -1.206 m. DTf = (Lpp/2+ FF)(DT/Lpp)FB = 2.430 m. Tf = 4.121 m. ∆T = ((ΦG-ΦB)*Disp)/MTC x 100MTC = 92.224 ton.m. T = 2.900 m. T = (Ta + Tf) / 2Displacement = 7728.43 ton.Momen = S3 37239.03 ton.m.

Ta = 1.678 m. KG = S3 / Displ 4.818 m.Tf = 4.121 m. a = KG -KB 1.848 m.Tr = 2.915 m. GG' = SIg/gV = S4/Displ 1.306 m.TKM = 7.670 m. a' = a + GG' 3.154 m.KB = 2.970 m. MG = KM - KG 2.851 m.

MG' = MG - GG' 1.545 m.PERHITUNGAN LENGKUNG .



STABILITASI j 0 10 20 30 40 50 60 70 80 90II sin j 0 0.174 0.342 0.500 0.643 0.766 0.866 0.940 0.985 1.000III Lc 0 0.842 1.362 1.628 2.031 2.407 2.273 2.032 1.710 1.328IV a' sin j 0 0.146 0.466 0.814 1.305 1.844 1.968 1.910 1.684 1.328V h = III - IV 0 0.696 0.896 0.814 0.725 0.563 0.305 0.123 0.026 0.000VI Integral V 0 0.696 2.288 3.998 5.537 6.826 7.693 8.120 8.269 8.295VII d=(dj/2)VI 0 0.061 0.200 0.349 0.483 0.596 0.671 0.709 0.722 0.724

Derajat 0 10 20 30 40 50 60 70 80 90

Stabilitas Statis 0 0.696 0.896 0.8140.72532

1 0.5630.304

5 0.122550.0259771

4 0

Stabilitas Dinamis 0 0.0610.199630

30.348

90.48321

3 0.5960.671

40.70862

20.7215829

40.7238498

7rad 57.300 57.300MG' 1.545 0



0 10 20 30 40 50 60 70 80 90 1000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

KONDISI I

STABIL-ITAS DI-NAMIS

SUDUT OLENG (derajat)

LE

NG

AN

KO

PE

L (

m)



KONDISI KAPAL : IIKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 100 %

FUEL OIL : 50 %

LUB. OIL : 50 %

DIESEL OIL : 50 %

PROVISION : 50 %

FRESH WATER : 50 %


(ton) (m) (ton.m) (m) (ton.m) (m4) (ton/m3) (ton.m)Kapal Kosong 1987.54 -5.80 -11518.71 5.33 10600.33 0.00 0.00 0.00Ruang Muat I 369.50 41.45 15314.58 4.79 1769.44 400.57 0.78 312.44Ruang Muat II 812.74 34.51 28044.59 4.00 3253.58 1557.98 0.78 1215.22Ruang Muat III 890.25 24.28 21617.41 4.70 4188.10 1833.25 0.78 1429.93Ruang Muat IV 899.27 13.89 12494.28 4.68 4206.78 1842.33 0.78 1437.02Ruang Muat V 893.34 3.50 3122.21 4.71 4204.33 1842.33 0.78 1437.02Ruang Muat VI 925.61 -6.89 -6375.36 4.69 4342.72 1837.04 0.78 1432.89Ruang Muat VII 710.32 -17.25 -12254.10 4.79 3404.05 1935.75 0.78 1509.89T. Fuel Oil 24.67 -14.87 -366.93 0.35 0.87 149.61 0.98 146.62T. Diesel Oil 4.54 -12.55 -56.96 0.35 0.16 35.66 0.90 32.09T. Lub. Oil 4.81 -11.90 -57.29 0.35 0.17 41.38 0.90 37.24T. Air Tawar 85.92 -20.97 -1801.54 3.56 30.55 433.23 1.025 444.07T. Ballast I 21.67 10.35 224.29 0.17 3.79 106.05 1.025 108.71



T. Ballast II 50.54 8.60 434.56 0.17 8.57 453.00 1.025 464.32T. Ballast III 59.15 6.06 358.64 0.17 9.86 628.66 1.025 644.37T. Ballast IV 59.85 3.47 207.90 0.17 9.96 644.16 1.025 660.26T. Ballast V 59.59 0.87 52.06 0.17 9.90 644.16 1.025 660.26T. Ballast VI 58.01 -1.70 -98.77 0.17 9.72 613.31 1.025 628.64T. Ballast VII 25.02 -4.31 -107.81 0.17 4.29 232.54 1.025 238.36T. After Peak 68.95 -27.38 -1887.51 3.58 246.54 350.25 1.025 359.01T. Fore Peak 75.42 2.65 199.60 2.65 199.60 24.91 1.025 25.53

S1 = 8086.68 S2 = 47545.17 S3 = 36503.31 S4 = 13223.89

Lpp = 99.010 m. B = 18.200 m. FG = S2 / S1Displacement = 8086.682 ton. DT = 3.053 m. Ta = Tr + DTaFG = 5.879 m. Dta = -1.559 m. Tf = Tr - DTfTr = 3.589 m. Ta = 2.030 m. DTa = (Lpp/2 - FF)(DT/Lpp)FF = -1.068 m. DTf = -1.493 m. DTf = (Lpp/2+ FF)(DT/Lpp)FB = 2.290 m. Tf = 5.083 m. ∆T = ((ΦG-ΦB)*Disp)/MTC x 100MTC = 95.074 ton.m. T = 3.556 m. T = (Ta + Tf) / 2Displacement = 8086.682 ton.Momen = S3 36503.308 ton.m.

Ta = 2.030 m. KG =S3 / Displ 4.514 m.

Tf = 5.083 m. a = KG -KB 1.417 m.Tr = 3.589178 m. GG'= SIg/gV = S4/Displ 1.635 m.TKM = 7.672 m. a' = a + GG' 3.052 m.KB = 3.097 m. MG = KM - KG 3.158 m.



MG' = MG - GG' 1.523 m.PERHITUNGAN LENGKUNG STABILITAS ..

I j 0 10 20 30 40 50 60 70 80 90II sin j 0 0.174 0.342 0.500 0.643 0.766 0.866 0.940 0.985 1.000III Lc 0 0.812 1.231 1.482 1.838 2.188 2.067 1.847 1.553 1.204IV a' sin j 0 0.141 0.421 0.741 1.181 1.676 1.790 1.736 1.530 1.204V h = III - IV 0 0.671 0.810 0.741 0.656 0.512 0.277 0.111 0.024 0.000VI Integral V 0 0.671 2.151 3.702 5.099 6.268 7.057 7.445 7.580 7.604VII d=(dj/2)VI 0 0.059 0.188 0.323 0.445 0.547 0.616 0.650 0.661 0.664

Derajat 0 10 20 30 40 50 60 70 80 90

Stabilitas Statis 0 0.671 0.810 0.74090.65639

9 0.5120.2769

10.11140

3 0.0236 0Stabilitas Dinamis 0 0.059 0.1877324

0.32306

0.444998 0.547

0.61581

0.649694

0.66148

0.66353

rad 57.300 57.300MG' 1.523 0



0 10 20 30 40 50 60 70 80 90 1000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

KONDISI II

STABIL-ITAS DI-NAMISSTABIL-ITAS STATIS

MG

MG'


LE

NG

AN

KO

PE

L (

m)



KONDISI KAPAL : IIIKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 0 %

FUEL OIL : 100 %

LUB. OIL : 100 %

DIESEL OIL : 100 %

PROVISION : 100 %

FRESH WATER : 100 %


(ton) (m) (ton.m) (m) (ton.m) (m4) (ton/m3) (ton.m)Kapal Kosong 1987.54 -5.80 -11518.71 5.33 10600.33 0.00 0.00 0.00Ruang Muat I 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat II 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat III 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat IV 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat V 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat VI 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat VII 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00T. Fuel Oil 49.35 -29.74 -1467.70 0.71 34.90 299.22 0.98 293.24T. Diesel Oil 9.07 -25.11 -227.85 0.69 6.30 71.32 0.90 64.18



T. Lub. Oil 9.63 -23.81 -229.15 0.69 6.65 82.76 0.90 74.48T. Air Tawar 171.84 -41.94 -7206.14 7.11 1221.85 866.47 1.025 888.13T. Ballast I 86.66 41.41 3588.70 0.70 60.60 424.22 1.025 434.82T. Ballast II 202.15 34.40 6953.01 0.68 137.17 1812.00 1.025 1857.30T. Ballast III 236.60 24.25 5738.24 0.67 157.81 2514.62 1.025 2577.49T. Ballast IV 239.40 13.90 3326.43 0.67 159.37 2576.63 1.025 2641.05T. Ballast V 238.35 3.50 833.02 0.66 158.46 2576.63 1.025 2641.05T. Ballast VI 232.05 -6.81 -1580.29 0.67 155.57 2453.24 1.025 2514.57T. Ballast VII 100.08 -17.24 -1724.94 0.69 68.58 930.17 1.025 953.42T. After Peak 137.89 -54.75 -7550.05 7.15 986.17 700.50 1.025 718.02T. Fore Peak 150.84 5.29 798.38 5.29 798.38 49.82 1.025 51.06

S1 = 3851.44 S2 = -10267.05 S3 = 14552.14 S4 = 15708.81Lpp = 99.010 m. B = 18.200 m. FG = S2 / S1Displacement = 3851.440 ton. DT = -3.416 m. Ta = Tr + DTaFG = -2.666 m. Dta = 1.615 m. Tf = Tr - DTfTr = -6.222 m. Ta = -4.607 m. DTa = (Lpp/2 - FF)(DT/Lpp)FF = 2.683 m. DTf = 1.800 m. DTf = (Lpp/2+ FF)(DT/Lpp)FB = 3.556 m. Tf = -8.022 m. ∆T = ((ΦG-ΦB)*Disp)/MTC x 100MTC = 70.160 ton.m. T = -6.314 m. T = (Ta + Tf) / 2Displacement = 3851.440 ton.Momen = S3 14552.145 ton.m.

Ta = -4.607 m. KG = S3 / Displ 3.778 m.Tf = -8.022 m. a = KG -KB 2.218 m.Tr = -6.222 m. GG' SIg/gV = S4/Displ 4.079 m.TKM = 9.736 m. a' = a + GG' 6.297 m.



KB = 1.560 m. MG = KM - KG 5.957 m.MG' = MG - GG' 1.879 m.

PERHITUNGAN LENGKUNG STABILITAS …I j 0 10 20 30 40 50 60 70 80 90II sin j 0 0.174 0.342 0.500 0.643 0.766 0.866 0.940 0.985 1.000III Lc 0 1.410 2.864 3.500 4.368 4.793 4.562 4.112 3.494 2.749IV a' sin j 0 0.245 0.980 1.750 2.808 3.672 3.951 3.864 3.441 2.749V h = III - IV 0 1.165 1.885 1.750 1.560 1.121 0.611 0.248 0.053 0.000VI Integral V 0 1.165 4.215 7.850 11.160 13.842 15.575 16.434 16.735 16.788VII d=(dj/2)VI 0 0.102 0.368 0.685 0.974 1.208 1.359 1.434 1.460 1.465

Derajat 0 10 20 30 40 50 60 70 80 90

Stabilitas Statis 0 1.165 1.8851.75007

51.56039

5 1.1210.6112

10.247961

20.0530

8 0Stabilitas Dinamis 0 0.102 0.3678452

0.685028

0.973921 1.208

1.35913

1.4341107

1.46038

1.46501

rad 57.300 57.300MG' 1.879 0



0 10 20 30 40 50 60 70 80 90 1000

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

KONDISI III


MG

MG'


LE

NG

AN

KO

PE

L (

m)



KONDISI KAPAL : IVKONDISI MUATAN DAN TANGKI-TANGKI

LOAD : 0 %

FUEL OIL : 0 %

LUB. OIL : 0 %

DIESEL OIL : 0 %

PROVISION : 0 %

FRESH WATER : 0 %


(ton) (m) (ton.m) (m) (ton.m) (m4) (ton/m3) (ton.m)Kapal Kosong 1987.54 -5.80 -11518.71 5.33 10600.33 0.00 0.00 0.00Ruang Muat I 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat II 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat III 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat IV 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat V 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat VI 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00Ruang Muat VII 0.00 0.00 0.00 0.00 0.00 0.00 0.78 0.00T. Fuel Oil 0.00 0.00 0.00 0.00 0.00 0.00 0.98 0.00



T. Diesel Oil 0.00 0.00 0.00 0.00 0.00 0.00 0.90 0.00T. Lub. Oil 0.00 0.00 0.00 0.00 0.00 0.00 0.90 0.00T. Air Tawar 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast I 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast II 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast III 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast IV 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast V 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast VI 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Ballast VII 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. After Peak 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00T. Fore Peak 0.00 0.00 0.00 0.00 0.00 0.00 1.025 0.00

S1 = 1987.54 S2 = -11518.71 S3 = 10600.33 S4 = 0.00Lpp = 99.010 m. B = 18.200 m. FG = S2 / S1Displacement = 1987.535 ton. DT = -5.844 m. Ta = Tr + DTaFG = -5.795 m. Dta = 2.867 m. Tf = Tr - DTfTr = -7.696 m. Ta = -4.829 m. DTa = (Lpp/2 - FF)(DT/Lpp)FF = 0.927 m. DTf = 2.977 m. DTf = (Lpp/2+ FF)(DT/Lpp)FB = 1.900 m. Tf = -10.672 m. ∆T = ((ΦG-ΦB)*Disp)/MTC x 100MTC= 26.174 ton.m. T = -7.750 m. T = (Ta + Tf) / 2Displacement 1987.5353 ton.Momen = S3 10600.331 ton.m.

Ta = -4.829 m. KG =S3 / Displ 5.333 m.

Tf = -10.672 m. a = KG -KB 4.485 m.Tr = -7.696 m. GG' = SIg/gV = S4/Displ 0.000 m.


====


TKM = 16.115 m. a' = a + GG' 4.485 m.KB = 0.849 m. MG = KM - KG 10.781 m.

MG' = MG - GG' 10.781 m.PERHITUNGAN LENGKUNG STABILITAS ….

I j 0 10 20 30 40 50 60 70 80 90II sin j 0 0.174 0.342 0.500 0.643 0.766 0.866 0.940 0.985 1.000III Lc 0 2.493 4.263 5.223 5.763 6.050 5.954 5.438 4.686 3.760IV a' sin j 0 0.433 1.458 2.611 3.704 4.635 5.156 5.110 4.615 3.760V h = III - IV 0 2.060 2.805 2.611 2.058 1.416 0.798 0.328 0.071 0.000VI Integral V 0 2.060 6.926 12.342 17.012 20.486 22.699 23.825 24.224 24.295VII d=(dj/2)VI 0 0.180 0.604 1.077 1.485 1.788 1.981 2.079 2.114 2.120

Derajat 0 10 20 30 40 50 60 70 80 90

Stabilitas Statis 0 2.060 2.8052.6113

22.05846

5 1.4160.7976

20.32795

3 0.0712 0

Stabilitas Dinamis 0 0.180 0.60436921.0770

51.48456

4 1.7881.9808

62.07908

42.1139

22.1201

3rad 57.300 57.300MG' 10.781 0



0 10 20 30 40 50 60 70 80 90 1000

2

4

6

8

10

12

KONDISI IV


MG

MG'


LE

NG

AN

KO

PE

L (

m)





BAB VII KESIMPULAN

Sebuah kapal dapat mengoleng disebabkan karena kapal mempunyai kemampuan

untuk menegak kembali sewaktu kapal menyenget yang dikarenakan oleh adanya

pengaruh luar yang bekerja pada kapal. Beberapa contoh pengaruh luar yang dimaksud

adalah: arus, ombak, gelombang, angin dan lain sebagainya. Dari sifat olengnya apakah

sebuah kapal mengoleng terlau lamban, ataukah kapal mengoleng dengan cepat atau

bahkan terlau cepat dengan gerakan yang menyentak-nyentak, atau apakah kapal

mengoleng dengan enak.



INDEKS

Lpp : Length between perpendiculars,panjang antara kedua garis tegak buritan dan

garis tegak haluan yang diukur pada garis air muat.

LWL : Panjang garis air (Length of water line) jarak mendatar antara ujung garis

muat ( garis air ), yang diukur dari titik potong dengan linggi buritan sampai titik

potongnya dengan linggi haluan dan diukur pada bagian luar linggi buritan dan

linggi haluan.

B : Lebar kapal

H : Tinggi kapal diukur dari lunas sampai geladag utama.

T : Sarat kapal

Cb : Coeeficient Block

Vs : Kecepatan service

AP : Garis tegak buritan (After Perpendicular)

FP : Garis tegak haluan (Fore Perpendicular)

M : Metasentra

G : Titik berat (gravity)

B : Titik bouyancy (titik tekan ke atas)

LCG : Longitudinal Center of Bouyancy,titik tekan keatas dari midship kapal

KG : Jarak titik berat dari keel

KB : Jarak titik tekan keatas dari keel

W : Berat muatan

LWT : Light weight tonnage ,berat kapal kosong

e : Jarak titik berat ke sumbu perhitungan

Io : Momen inersia

Ikor : Koreksi dari momen inersia

MBj : Jarak metasentra dari bouyancy pada sudut tertentu.

Ta : Trim buritan

Tf : Trim haluan

g/γ : Berat jenis muatan

TKM : Transverse of Keel to Metacenter, titik metasentra melintang terhadap lunas

kapal untuk tiap-tiap water line-nya



MTC : Moment to change Trim one Centimeter, momen yang diperlukan untuk

mengadakan trim sebesar 1 cm. Satuannya dalam Ton meter

Lc : Lengan koppel

Ixx : Momen inersia

OG : Jarak titik berat dari midship

Tr : Perbandingan anatara displacement dengan perkalian Cb,LPP,B

ØG : Longitudinal Centre of Gravity,jarak titik berat ke midship

ØF : Longitudinal Centre of Floatation, jarak titik berat luas garis air teratas ke

midship

ØB : Longitudinal Centre of Bouyancy, jarak titik tekan keatas ke midship



DAFTAR PUSTAKA

Biro Klasifikasi Indonesia, Rules For The Clasification and Construction of Seagoing

Stell Ships: Rules For Hull V.2. 2006. Jakarta : Biro Klasifikasi Indonesia.

Guldhammer, H. E., “FORMDATA: Some Systematically Varried Ship Forms and their

Hydrostatic Data”. 1962. Denmark : Danish Technical Press.

Santoso, I Gusti Made, Sudjono, Joswan Jusuf. 1983.“Teori Bangunan Kapal 1”.

Indonesia : Direktorat Pendidikan Menengah Kejuruan Departemen Pendidikan dan

Kebudayaan.

Sofi’i, Moch., Djaja, Indra Kusna. 2008.“Teknik Konstuksi Kapal Baja Jilid 1 untuk

SMK”. Jakarta : Direktorat Pembinaan Sekolah Menengah Kejuruan, Direktorat

Jenderal Manajemen Pendidikan Dasar dan Menengah, Departemen Pendidikan

Nasional.

Sudjono, Joswan Jusuf. 1983. “Teori Bangunan Kapal II”. Indonesia : Direktorat

Pendidikan Menengah Kejuruan Departemen Pendidikan dan Kebudayaan.

http//sinarkudus.blogspot.com

www.wikipedia.com

http://www.containerhandbuch.de/chb_e/stra/index.html?/chb_e/stra/

stra_04_02_01_03.html


http://www.wikipedia.com/

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