Figure 3-1 Cargo Ship Loa-DWT · Study on Standards for Main Dimensions of the Design Ship/ Hironao...

Technical Note of NILIM No.309

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Figure 3-1 Cargo Ship Loa-DWT

Figure 3-3 Cargo Ship d-DWT

Figure 3-2 Cargo Ship B-DWT

0

50

100

150

200

250

300

350

0 100,000 200,000 300,000 400,000

Loa

DWT

0

10

20

30

40

50

60

0 100,000 200,000 300,000 400,000

B

DWT

0

5

10

15

20

25

0 100,000 200,000 300,000 400,000

d

DWT

Study on Standards for Main Dimensions of the Design Ship/ Hironao TAKAHASHI,Ayako GOTO,Motohisa ABE

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0.5

1

1.5

2

2.5

3

0.0 1.0 2.0 3.0 4.0 5.0 6.0

Log(Lpp)

Log(DWT)

0

100

200

300

400

0 100,000 200,000 300,000 400,000

Loa

DWT

Figure 3-4 Cargo Ship Loa-DWT

Figure 3-5 Cargo Ship Lpp-DWT

0.5

1

1.5

2

2.5

3

0.0 1.0 2.0 3.0 4.0 5.0 6.0

Log(Loa)

Log(DWT)

0

100

200

300

400

0 100,000 200,000 300,000 400,000

Lpp

DWT

50% 75%α 8.1823 8.7338β 0.2945 0.2945

Y=α・Xβ

50% 75%a 0.9129 0.9412b 0.2945 0.2945

( R2= 0.957 ， σ= 0.042 ）

logY=a+blogX

50% 75%α 7.0837 7.4863β 0.3037 0.3037

Y=α・Xβ ( R2= 0.963 ， σ= 0.036 ）

logY=a+blogX

50% 75%a 0.8503 0.8743b 0.3037 0.3037


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Figure 3-6 Cargo Ship B-DWT

Figure 3-7 Cargo Ship（～Less than 30,000DWT）d-DWT

0

20

40

60

0 100,000 200,000 300,000 400,000

B

DWT

0

1

2

0 2 4 6

Log(B)

Log(DWT)

0

2

4

6

8

10

12

14

0 10,000 20,000 30,000

d

DWT

-0.5

0

0.5

1

1.5

0 1 2 3 4 5

d

DWT

50% 75%α 1.4074 1.4974β 0.2850 0.2850

Y=α・Xβ ( R2= 0.951 ， σ= 0.040 ）

logY=a+blogX

50% 75%a 0.1484 0.1753b 0.2850 0.2850

50% 75%α 0.3570 0.3935β 0.3282 0.3282

Y=α・Xβ ( R2= 0.847 ， σ= 0.063 ）

logY=a+blogX

50% 75%a -0.4473 -0.4051b 0.3282 0.3282


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Figure 3-8 Cargo Ship（30,000DWT～） d-DWT

0

5

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15

20

25

0 100,000 200,000 300,000 400,000

d

DWT

0.9

1

1.1

1.2

1.3

1.4

4.0 4.5 5.0 5.5 6.0

d

DWT

50% 75%α 0.3585 0.3754β 0.3233 0.3233

Y=α・Xβ ( R2= 0.850 ， σ= 0.030 ）

logY=a+blogX

50% 75%a -0.4455 -0.4255b 0.3233 0.3233


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3.2 Container Ship Figure 3-9 to Figure 3-11 show the results of analysis

of Loa, B, and d for DWT. For container ships, both an analysis of all ships, and analyses by dividing all ships into Under-PANAMAX ， PANAMAX ， and Over-PANAMAX were done. And the number of con-tainers that can be loaded (TEU unit, below written “TEU”) was analyzed and the results of analysis of TEU for DWT are also shown in Figure 3-12.

(1) Analysis encompassing all ships

All main dimensions, Loa, Lpp, B, and d were ana-lyzed by dividing the ships into two classes at 35,000DWT and applying the logarithmic regression analysis method to those less than 35,000DWT. As a result, R2 = 0.931 was obtained for Loa, R2 = 0.933 for Lpp, R2 = 0.918 for B, and R2 = 0.930 for d. Then those of 35,000DWT or more were divided into 10,000DWT units as shown below, and analyzed by the average value analysis method. Because there are almost no data for ships of 85,000DWT or more but less than 95,000DWT, ships in these classes were not analyzed. Figure 3-13 to Figure 3-40 show results of analysis for each dimension. Table 3-2 shows the results of analysis of each main dimension according to the ship classes that were set.

The value for B in the 40,000DWT class and the 50,000DWT class were, assuming they are Panamax type, set at 32.3m instead of an analytic value. ・35,000DWT or higher, less than 45,000DWT ・45,000DWT or higher, less than 55,000DWT ・55,000DWT or higher, less than 65,000DWT ・65,000DWT or higher, less than 75,000DWT ・75,000DWT or higher, less than 85,000DWT ・95,0000DWT or higher

Table 3-2 The results of analysis of main dimensions (Container Ship)

Dead Weigth Tonnage （t）

Length Overall （m）

Length P.P. （m）

Breadth Molded （m）

Full Load Draft （m）

Reference：the number of containers that can be

loaded (TEU) 10,000 20,000 30,000 40,000 50,000 60,000 100,000

139 177 203 241 274 294 350

129 165 191 226 258 279 335

22.0 27.1 30.6 32.3 32.3 35.9 42.8

7.9 9.9 11.2 12.1 12.7 13.4 14.7

500～ 890 1,300～1,600 2,000～2,400 2,800～3,200 3,500～3,900 4,300～4,700 7,300～7,700


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50

100

150

200

250

300

350

400

0 50,000 100,000 150,000

Loa

DWT

Figure 3-9 Container Ship Loa-DWT

Figure 3-10 Container Ship B-DWT

Figure 3-11 Container Ship d-DWT

Figure 3-12 Container Ship TEU-DWT

10

15

20

25

30

35

40

45

0 50,000 100,000 150,000

B

DWT

2

4

6

8

10

12

14

16

0 50,000 100,000 150,000

d

DWT

0

2,000

4,000

6,000

8,000

10,000

0 50,000 100,000 150,000

TEU

DWT


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Figure 3-13 Container Ship（～Less thsn 35,000DWT）Loa-DWT

0

100

200

300

0 10,000 20,000 30,000 40,000

Loa

DWT

200

250

300

350

45,000 47,500 50,000 52,500 55,000

Loa

DWT

150

200

250

300

35,000 37,500 40,000 42,500 45,000

Loa

DWT

1.5

2

2.5

3

3.0 3.5 4.0 4.5 5.0

Log(Loa)

Log(DWT)

Figure 3-14 Container Ship （35,000～Less than 45,000DWT）Loa-DWT


50% 75%α 5.4569 5.6834β 0.3470 0.3470

Y=α・Xβ ( R2= 0.931 ， σ= 0.026 ）

logY=a+blogX

50% 75%a 0.7369 0.7546b 0.3470 0.3470

（σ= 18.919 ）

Averagea0 228.4

Y=a0

75%241.2

（σ= 20.015 ）

Averagea0 260.8

Y=a0

75%274.3


16

200

250

300

350

55,000 57,500 60,000 62,500 65,000

Loa

DWT

200

250

300

350

65,000 67,500 70,000 72,500 75,000

Loa

DWT

200

250

300

350

75,000 77,500 80,000 82,500 85,000

Loa

DWT

250

300

350

400

95,000 100,000 105,000 110,000

Loa

DWT


Figure 3-19 Container Ship （95,000DWT～）Loa-DWT



（σ= 9.184 ）

Averagea0 287.9

75%294.1

Y=a0

（σ= 7.076 ）

Averagea0 281.2 286.0

Y=a0

75%

（σ= 8.716 ）

Averagea0 301.1

Y=a0

75%307.0

（σ= 11.269 ）

Averagea0 342.3

Y=a0

75%349.9


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Figure 3-20 Container Ship（～Less than 35,000DWT） Lpp-DWT

0

100

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300

0 10,000 20,000 30,000 40,000

Lpp

DWT

1.5

2

2.5

3

3.0 3.5 4.0 4.5 5.0

Log(Lpp)

Log(DWT)

150

200

250

300

35,000 37,500 40,000 42,500 45,000

Lpp

DWT

Figure 3-21 Container Ship （35,000～Less than 45,000DWT）Lpp-DWT

150

200

250

300

45,000 47,500 50,000 52,500 55,000

Lpp

DWT


50% 75%α 4.7700 4.9714β 0.3538 0.3538

Y=α・Xβ ( R2= 0.933 ， σ= 0.027 ）

logY=a+blogX

50% 75%a 0.6785 0.6965b 0.3538 0.3538

（σ= 17.656 ）

Averagea0 213.9

Y=a0

75%225.8

（σ= 18.019 ）

Averagea0 246.0

75%258.1

Y=a0


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200

250

300

350

55,000 57,500 60,000 62,500 65,000

Lpp

DWT

200

250

300

350

65,000 67,500 70,000 72,500 75,000

Lpp

DWT

200

250

300

350

75,000 77,500 80,000 82,500 85,000

Lpp

DWT

250

300

350

400

95,000 100,000 105,000 110,000

Lpp

DWT




,

Figure 3-26 Container Ship （95,000DWT～）Lpp-DWT

（σ= 9.413 ）

Averagea0 273.1 279.5

Y=a0

75%

（σ= 7.761 ）

Averagea0 268.4

Y=a0

75%273.6

（σ= 5.961 ）

Averagea0 289.2

Y=a0

75%293.2

（σ= 6.986 ）

Averagea0 330.4

75%335.1

Y=a0


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Figure 3-27 Container Ship（～Less than 35,000DWT） B-DWT

0

10

20

30

40

0 10,000 20,000 30,000 40,000

B

DWT

28

30

32

34

35,000 37,500 40,000 42,500 45,000

B

DWT

30

35

40

45,000 47,500 50,000 52,500 55,000

B

DWT

1

1.2

1.4

1.6

3.0 3.5 4.0 4.5 5.0

Log(B)

Log(DWT)

Figure 3-28 Container Ship （35,000～Less than 45,000DWT）B-DWT


50% 75%α 1.3229 1.3750β 0.3011 0.3011

Y=α・Xβ

( R2= 0.918 ， σ= 0.025 ）

logY=a+blogX

50% 75%a 0.1215 0.1383b 0.3011 0.3011

（σ= 0.569 ）

Averagea0 32.0

Y=a0

75%32.4

（σ= 1.176 ）

Averagea0 32.4

Y=a0

75%33.2


20

30

35

40

55,000 57,500 60,000 62,500 65,000

B

DWT

30

35

40

45

65,000 67,500 70,000 72,500 75,000

B

DWT

30

35

40

45

75,000 77,500 80,000 82,500 85,000

B

DWT

40

42

44

95,000 100,000 105,000 110,000

B

DWT


Figure 3-33 Container Ship （95,000DWT～）B-DWT



（σ= 2.926 ）

Averagea0 34.0

75%35.9

Y=a0

（σ= 3.193 ）

Averagea0 38.7

Y=a0

75%40.9

（σ= 1.761 ）

Averagea0 40.4

Y=a0

75%41.6

（σ= 0.377 ）

Averagea0 42.6

Y=a0

75%42.8


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8

10

12

14

16

35,000 37,500 40,000 42,500 45,000

d

DWT

8

10

12

14

16

45,000 47,500 50,000 52,500 55,000

d

DWT

Figure 3-34 Container Ship（～Less than 35,000DWT）d-DWT

Figure 3-35 Container Ship （35,000～Less than 45,000DWT）d-DWT


0

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0 10,000 20,000 30,000 40,000

d

DWT

0.5

1

1.5

3.0 3.5 4.0 4.5 5.0

Log(d)

Log(DWT)

50% 75%α 0.3991 0.4143β 0.3202 0.3202

Y=α・Xβ ( R2= 0.930 ， σ= 0.024 ）

logY=a+blogX

50% 75%a -0.3990 -0.3826b 0.3202 0.3202

（σ= 0.578 ）

Averagea0 11.7

Y=a0

75%12.1

（σ= 0.518 ）

Averagea0 12.3 12.7

Y=a0

75%


22

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10

12

14

16

55,000 57,500 60,000 62,500 65,000

d

DWT

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10

12

14

16

65,000 67,500 70,000 72,500 75,000

d

DWT

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10

12

14

16

75,000 77,500 80,000 82,500 85,000

d

DWT

8

10

12

14

16

95,000 100,000 105,000 110,000

d

DWT




Figure 3-40 Container Ship （95,000DWT～）d-DWT

（σ= 0.369 ）

Averagea0 13.1

Y=a0

75%13.4

（σ= 0.394 ）

Averagea0 13.8

75%14.1

Y=a0

（σ= 0.689 ）

Averagea0 13.7 14.2

Y=a0

75%

（σ= 0.174 ）

Averagea0 14.6

Y=a0

75%14.7

Figure 3-1 Cargo Ship Loa-DWT · Study on Standards for Main Dimensions of the Design Ship/ Hironao...

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