Gross and net tonnage of a vessel

Gross and net tonnage of a vessel are data about its volume. They are important for calculating various vessel fees, for the validity of licenses to operate vessels, maritime safety regulations, and in some other cases. It is especially important for boaters who have passed the Boat Leader exam in Slovenia, which allows them to operate a vessel – a yacht (a vessel longer than 12 m that can carry up to 12 passengers) flying the Croatian flag, with the restriction that the gross tonnage of the vessel does not exceed 30 GT (more in the article: Which boat licenses allow navigation in the Adriatic).

Until 1982, the unit RT or register ton (gross register ton and net register ton) was used to measure gross or net tonnage. One register ton equals 100 cubic feet or 2.832 m³. After 1994, an international agreement standardized the tonnage measurement system. It is now measured in cubic meters, and the unit is not written or used. Gross or net tonnage is expressed as a number without a unit, for example: GT = 30, which means the vessel has a gross tonnage of 30, but the volume of the vessel is not equal to 30 m³ and must be calculated using a formula.

Gross and net tonnage

Tonnage (gross or net) refers to the volume of enclosed spaces on the vessel and has no connection with the vessel’s weight. Gross tonnage of a vessel represents the total volume of enclosed parts of the vessel. Net tonnage refers to the volume of all enclosed spaces intended for passengers or cargo transport. Gross tonnage is denoted by the symbols GT, G.T., gt, BT, while net tonnage is denoted by NT, N.T., nt. The net tonnage of a vessel should not be less than 30% of the gross tonnage.

How to calculate tonnage

The calculation of the gross tonnage of a vessel is defined by rule 3 of Annex 1 of the International Convention on Tonnage Measurement of Ships, adopted in 1969. It depends on two parameters, V – the volume of the vessel and K – a coefficient that depends on the volume of the vessel. The coefficient K varies depending on the size of the vessel. It is smaller for smaller vessels and larger for larger vessels. It is calculated using the formula: K = 0.2 + 0.02 x log10(V). Once K is known, the gross tonnage of the vessel is calculated using the formula GT = V x K or GT = V x (0.2 + 0.02 x log10(V)). As we can see from the formula, gross tonnage contains the unit m³ and the logarithm of the same unit. Therefore, the unit is not used, and the term gross tonnage is primarily retained due to its historical significance.

Calculation of gross tonnage for vessels registered in Croatia

The calculation of gross tonnage for vessels in Croatia follows the international convention but has its specifics due to the definition of vessels based on their length. If we focus on those used for regular private cruising, recreation, and entertainment, these are:

  1. “Brodica” – vessels with a length of 2.5 m to 12 m or vessels with an engine power of more than 5 kW
  2. “Yacht” – a vessel for sports and leisure longer than 12 m and capable of carrying up to 12 passengers

Calculation for “brodice” vessels up to 12.00 m in length

The gross tonnage of vessels up to 12 m in length is calculated using the formula GT = 0.225 * V. V represents the total volume of the vessel in m³, which is calculated using the formula V = 0.55 * L * B * D + Σ l*b*h, where:

  • L – length of the vessel in meters
  • B – width of the vessel in meters
  • H – height of the vessel in meters
  • Σ l*b*h – sum of the volume of all spaces above the deck (l,b,h – average length, width, and height of each space expressed in meters)

*The gross tonnage of vessels smaller than 12 m has not been calculated or recorded in vessel documents in Croatia for the past few years.

Calculation of gross tonnage for yachts up to 24.00 m in length

The tonnage of a yacht is equal to its gross tonnage and is calculated using the formula GT = K * V. K is the coefficient, calculated by the formula K= 0.2 + 0.02 x log10(V). The volume is calculated using the formula V= Vh + Σ l*b*h, where:

  • Vh = Kh * L * B * D – volume of the vessel below the deck expressed in m³
  • Kh = 0.5 for sailing yachts, = 0.67 for motor vessels
  • L – length of the hull
  • B – width of the hull
  • D – height of the hull
  • Σ l*b*h – sum of the volume of all spaces above the deck (l,b,h – average length, width, and height of each space expressed in meters)

Calculation of gross tonnage for yachts over 24.00 m in length

GT = V x K where K= 0.2 + 0.02 x log10(V) or GT = V x (0.2 + 0.02 x log10(V)).

The coefficient K can be calculated using the formula or approximated from the table below.

 

Example calculation for the vessel Jeanneau Sun Odyssey 519

gross tonnage - bruto tonaža plovila

The Jeanneau Sun Odyssey 519 is one of the larger yachts in charter fleets. It measures 51.8 feet or 15.75 meters in length. To calculate gross tonnage, we use the formula for yachts up to 24 meters: GT = K * V where V = Kh * L * B * D.

  • L – vessel length: 15.75 m
  • B – vessel width: 4.69 m
  • D – hull height: 2.5 m
  • Kh (for sailing yacht): 0.5

V = 0.5 * 15.75 m * 4.69 m * 2.5 m = 92.33 m3

K = 0.2 + 0.02 * log10(92.33) = 0.2393

The calculated coefficient K is 0.2393. If we approximate for 90 m3 from the table, it would be 0.2391, which is a good approximation with a difference of only 0.0002 or 0.07%.

GT = K * V = 0.2393 * 92.33 = 22.09

CONCLUSION: According to Croatian law, with a Boat Leader license obtained in Slovenia, you are allowed to operate the Jeanneau Sun Odyssey 519 yacht sailing under the Croatian flag.

 

Example calculation for the vessel Hanse 675

gross tonnage - bruto tonaža plovila

To calculate gross tonnage, we use the formula for yachts up to 24 meters: GT = K * V where V = Kh * L * B * D.

  • L – vessel length: 20.5 m
  • B – vessel width: 5.9 m
  • D – hull height: 2.5 m
  • Kh (for sailing yacht): 0.5

V = 0.5 * 20.5 m * 5.9 m * 2.5 m = 151.18 m³

K = 0.2 + 0.02 * log10(151.18) = 0.2435

The calculated coefficient K is 0.2435. If we approximate for 150 m³ from the table, the value would be 0.2430, which is a good approximation with a difference of only 0.0005 or 0.2%.

GT = K * V = 0.2435 * 151.18 = 36.81

CONCLUSION: According to Croatian law, with a Boat Leader license obtained in Slovenia, you CANNOT operate the Hanse 675 yacht sailing under the Croatian flag. You need a “Seafarer Motorist” license, which allows operation of vessels up to 100 GT.

Read also: Which boat licenses allow navigation in the Adriatic

Table of coefficient K

V (m3) K V (m3) K V (m3) K V (m3) K
10 0.2200 45.000 0.2931 330.000 0.3104 670.000 0.3165
20 0.2260 50.000 0.2940 340.000 0.3106 680.000 0.3165
30 0.2295 55.000 0.2948 350.000 0.3109 690.000 0.3168
40 0.2320 60.000 0.2956 360.000 0.3111 700.000 0.3169
50 0.2340 65.000 0.2963 370.000 0.3114 710.000 0.3170
60 0.2356 70.000 0.2969 380.000 0.3116 720.000 0.3171
70 0.2369 75.000 0.2975 390.000 0.3118 730.000 0.3173
80 0.2381 80.000 0.2981 400.000 0.3120 740.000 0.3174
90 0.2391 85.000 0.2986 410.000 0.3123 750.000 0.3175
100 0.2400 90.000 0.2991 420.000 0.3125 760.000 0.3176
200 0.2460 95.000 0.2996 430.000 0.3127 770.000 0.3177
300 0.2495 100.000 0.3000 440.000 0.3129 780.000 0.3178
400 0.2520 110.000 0.3008 450.000 0.3131 790.000 0.3180
500 0.2540 120.000 0.3016 460.000 0.3133 800.000 0.3181
600 0.2556 130.000 0.3023 470.000 0.3134 810.000 0.3182
700 0.2569 140.000 0.3029 480.000 0.3136 820.000 0.3183
800 0.2581 150.000 0.3035 490.000 0.3138 830.000 0.3184
900 0.2591 160.000 0.3041 500.000 0.3140 840.000 0.3185
1.000 0.2600 170.000 0.3046 510.000 0.3142 850.000 0.3186
2.000 0.2660 180.000 0.3051 520.000 0.3143 860.000 0.3187
3.000 0.2695 190.000 0.3056 530.000 0.3145 870.000 0.3188
4.000 0.2720 200.000 0.3060 540.000 0.3245 880.000 0.3189
5.000 0.2740 210.000 0.3064 550.000 0.3148 890.000 0.3190
6.000 0.2756 220.000 0.3068 560.000 0.3150 900.000 0.3191
7.000 0.2769 230.000 0.3072 570.000 0.3151 910.000 0.3192
8.000 0.2781 240.000 0.3076 580.000 0.3153 920.000 0.3193
9.000 0.2791 250.000 0.3080 590.000 0.3154 930.000 0.3194
10.000 0.2800 260.000 0.3083 600.000 0.3156 940.000 0.3195
15.000 0.2835 270.000 0.3086 610.000 0.3157 950.000 0.3196
20.000 0.2860 280.000 0.3089 620.000 0.3158 960.000 0.3196
25.000 0.2880 290.000 0.3092 630.000 0.3160 970.000 0.3197
30.000 0.2895 300.000 0.3095 640.000 0.3161 980.000 0.3198
35.000 0.2909 310.000 0.3098 650.000 0.3163 990.000 0.3199
40.000 0.2920 320.000 0.3001 660.000 0.3164 1.000.000 0.3200

Regulations for the Calibration of Maritime Objects (CRO, 2009), www.admiraltylawguide.com

Source: enavtika.si