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LOAD LINE
Ship Design
DRAFT
• Draft relates to the depth of water required
for a vessel to float freely and is measured
vertically from the underneath side of the
keel to the waterline.
FREEBOARD
• The vertical distance from the waterline to the
lowest point of the main deck.
Plimsoll Mark
• INTRODUCTION
- In a document from the 1st century BC found
inTunisia containing a contract for shipping of
goods, the master of a cargo ship seriously
promised not to overload the ship. This is
probably the oldest reference to freeboard.
- The safety relationship between freeboard and
draught was first written in a Lloyd's Rule of
1835.
HISTORY
• In the second half of eighteen century, Lloyd’s Register
recommended that the freeboard should be not less than two to
inches.
• In view of increasing number of casualties at sea and because of
the campaign of Samuel Plimsoll (1824 – 1899) the British Board
of Trade issued the Merchant Shipping Act in 1873 requiring that
the load line mark shall be placed on shipside.
• This mark should be in the form of a disk crossed by horizontal
line, the form that with small changes survived until present
time. This mark, sometimes called the Plimsoll line
• In 1885 Lloyds Register of shipping created Load Lines
Committee that developed first freeboard tables and conditions
of assignment, which were in use in Great Britain until 1930.
They did not differ substantially from those that were adopted
by the 1930 LL conference.
HISTORY
HISTORY of LL
• In order to issue the load line certificate:
- freeboard calculation shall aproved by the flag
authority
-freeboard plan shall aproved by the flag
authority
• Initial Survey shall be carried out according to
approved freeboard plan
Freeboard was considered to be a measure of
reserve buoyancy and its amount was related to
the length of the ship with several corrections
taking into account :
* block coefficient,
* depth,
*position of the deck line,
* superstructures, trunks etc.
* sheer,
* Bow height.
The principal conditions that must be satisfied before
freeboard may be assigned to any ship take account
of the following:
• structural strength of the ship;
• preservation of reserve buoyancy;
• physical means of preventing entry of water into
the hull;
• safety of the crew on the weather deck;
• potential wetness of the weather deck;
• stability in the normal loaded condition (intact
stability);
• degree of subdivision and stability after suffering
prescribed damage.
• Type ’A’ ships
- Ships designed solely for the
carriage of liquids ( e.g. Tankers )
• Type “B”
- Cargo ships other than Type “A”,
Ship Types
• Type .B. ships
• Type (B-60) vessels:
• The vessel must have an LBP of between 100 and 150 m. It
must survive the flooding of any single compartment
(excluding the machinery space). If greater than 150 m LBP, the
machinery space must be considered as a floodable
compartment. A typical ship type for a Type (B-60) vessel is a
bulk carrier.
• Type (B-100) vessels:
• The vessel must have an LBP of between 100 and 150 m. It
must survive the flooding of any two adjacent fore and aft
compartments (excluding the machinery space). If greater
than 150 m LBP , the machinery space must be considered as a
floodable compartment. Such a vessel may be classified as a
Type ‘A’ vessel.
Article 4 - Application
The present Convention shall apply to ships
engaged on international voyages.
Article 5 - Exceptions
(1). The present Convention shall not apply to:
(a). ships of war;
(b). new ships of less than 24 metres (79 feet)
in length;
(c). existing ships of less than 150 tons gross;
(d). pleasure yachts not engaged in trade;
(e). fishing vessels.
CALCULATION PROCEDURE FOR THE
ASSIGNMENT OF A FREEBOARD
• STEP 1
• Calculation Load Line Length
• (1). Length
• (a). The length (L) shall be taken as 96% of the total
length on a waterline at 85% of the least moulded
depth measured from the top of the keel, or LBP, if
that be greater.
• STEP 2
• Obtain the tabular freeboard (Regulation 28):From the
Table ascertain the ship’s tabular freeboard for the ship’s
length (L). The tabular freeboard is the freeboard that
would be assigned to a standard ship built to the highest
recognised standard and having five specific characteristics
as follows:
* a block coefficient of 0.68;
* a length to depth ratio of 15 i.e. L/D = 15;
* no superstructure;
* a parabolic sheer of the freeboard deck attaining a particular
height at the forward and after perpendiculars as prescribed
by formulae (depending on the length of the ship);
* a minimum bow height above the load waterline as
prescribed by formulae (depending on Cb and length of
ship).
23/36
CALCULATION PROCEDURE FOR
THE ASSIGNMENT OF A TYPE ‘A’ FREEBOARD
24/36
CALCULATION PROCEDURE FOR
THE ASSIGNMENT OF A TYPE ‘B’ FREEBOARD
• Regulation 29 Correction to the freeboard for ships under
100 m in length
• The tabular freeboard for a type B ship of between 24 m
and 100 m in length having enclosed superstructures with an
effective length of up to 35% of the length of the ship shall
be increased by:
• where
• L is the length of the ship in m; and
• E1 is the effective length E of superstructure in m as defined
in regulation 35, but excluding the length of trunks.
STEP 3: Length correction
(7) Block coefficient
(a) The block coefficient (Cb) is given by:
Where is the volume of the moulded displacement of the
∇
ship, excluding appendages, in a ship with a metal shell, and is
the volume of displacement to the outer surface of the hull in a
ship with a shell of any other material, both taken at a moulded
draught of d1; and where d1 is 85% of the least moulded depth.
(b) When calculating the block coefficient of a multi-hull craft, the
full breadth (B) is to be used and not the breadth of a single
hull.
STEP 4: CB correction
28/26
CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A TYPE ‘A’ FREEBOARD
• Correction for block coefficient (Regulation 30): The standard ship has a block
coefficient of 0.68. If Cb is greater than this the freeboard must be increased. This
is achieved by: Tabular Freeboard specified in regulation 28 as modified, if
applicable, by regulations 29 (length correction) shall be multiplied by the factor:
• ´ (C b + 0.68)/1.36
•
• STEP 5
• Depth correction
•
(5) Moulded Depth
(a) The moulded depth is the vertical distance
measured from the top of the keel to the top of
the freeboard deck beam at side. In wood and
composite ships the distance is measured from
the lower edge of the keel rabbet. Where the
form at the lower part of the midship section is
of a hollow character, or where thick garboards
are fitted, the distance is measured from the
point where the line of the flat of the bottom
continued inwards cuts the side of the keel.
Freeboard and freeboard depth
The freeboard can be expressed as the following equation.
Fb = Dmolded + tdeck - Ts = Df - Ts
(b) In ships having rounded gunwales, the
moulded depth shall be measured to the point
of intersection of the moulded lines of deck
and sides, the lines extending as though the
gunwale were of angular design.
(6) Depth for Freeboard (D)
• (a) This is the moulded depth amidships,
plus the thickness of the freeboard deck
stringer plate, where fitted, plus TD(L – S)/L
if the exposed freeboard deck is sheathed,
where:
TD is the mean thickness of the exposed
sheathing clear of deck openings, and S is
the total length of superstructures.
L
S
L
T
D
D
or
T
D
D D
F
S
F




 ........
........
• Regulation 31 Correction for depth
• The standard ship has a L/D ratio of 15. If the L/D ratio is less
than 15, which is usually the case, the freeboard is increased.
•Regulation 31 Correction for depth
•(1)That is where D exceeds L/15 the freeboard shall be increased by:
•(D ‑ L/15 ) R mm
•Where R is:
•- L/0,48 at lengths less than 120 metres and
•- 250 at 120 metres length and above.
•(2) Where D is less than L/15 no reduction shall be made except in a
ship with
•- an enclosed superstructure covering at least 0.6L amidships,
•- with a complete trunk, or - combination of detached enclosed
superstructures and trunks which extend all fore and aft,
where the freeboard shall be reduced at the rate prescribed in above (1)
paragraph .
•(3) Negative depth correction : Where the
height of the superstructure or trunk is
less than the corresponding standard
height, the calculated reduction shall be
corrected in the ratio of the height of the
actual superstructure or trunk to the
applicable standard height, as defined in
regulation 33.
• Regulation 32-1 (NOT INCLUDED FOR THE KNOWLEDGE)
• Correction for recess in freeboard deck
• (1) Where a recess is arranged in the freeboard deck, and it does
not extend to the sides of the ship, the freeboard calculated
without regard to the recess shall be corrected for the
consequent loss of buoyancy. The correction shall be equal to the
value obtained by dividing the volume of the recess by the
waterplane area of the ship at 85% of the least moulded depth
(see figure 32-1.1).
• (2) The correction shall be an addition to the freeboard obtained
after all other corrections have been applied, except bow height
correction.
• (3) Where the freeboard, corrected for lost buoyancy as above, is
greater than the minimum geometric freeboard determined on
the basis of a moulded depth measured to the bottom of the
recess, the latter value may be used.
• STEP 6
• Superstructure correction
•
• SUPERSTRUCTURE
Deduction for Superstructures and Trunks
Deduction for Superstructures and Trunks
Deduction for Superstructures and Trunks
• Regulation 34 Length of superstructure
• (1) Except as provided in paragraph (2), the length of a
superstructure (S) shall be the mean length of the parts of the
superstructure which lie within the length (L).
•
• Regulation 35 Effective length of superstructure
• (1) Except as provided for in paragraph (2), the effective length (E)
of an enclosed superstructure of standard height shall be its length.
• (2) In all cases where an enclosed superstructure of standard
height is set-in from the sides of the ship as permitted in regulation
3(10), the effective length shall be the length modified by the ratio
of b/Bs, where:
• b is the breadth of the superstructure at the middle of its length;
and
• Bs is the breadth of the ship at the middle of the length of the
superstructure.
• (3) Where the height of an enclosed
superstructure is less than the standard
height, the effective length shall be its length
reduced in the ratio of the actual height to the
standard height. Where the height exceeds
the standard, no increase shall be made to the
effective length of the superstructure.
•
(5) Superstructures which are not enclosed shall have no effective length.
• Regulation 37 Deduction for superstructures and trunks
• The standard ship has no superstructure. Enclosed
superstructures of a significant height are important in
providing reserve buoyancy above the freeboard deck.
Freeboard deductions are allowed for effective enclosed
superstructure length as a proportion of the ship’s
freeboard length.
• It is always a deduction in freeboard since the standard
ship has no superstructure.
• Regulation 37
• Deduction for superstructures and trunks
• (1) Where the effective length of superstructures and trunks is 1.0L, the
deduction from the freeboard shall be:
• - 350 millimetres at 24 metres length of ship;
• - 860 millimetres at 85 metres length; and
• - 1070 millimetres at 122 metres length and above;
• deductions at intermediate lengths shall be obtained by linear interpolation.
• (2) Where the total effective length of superstructures and trunks is less than
1L, the deduction shall be a percentage obtained from the table 37.1:
• (3) For ships of type .B. where the effective length of a forecastle is less than
0.07L no deduction is allowed.
CALCULATION PROCEDURE FOR FREEBOARD
Regulation 37
L (m) Freeboard deduction for 100%
superstructure length
24 350
85 860
122 or more 1070
Percentage of Deduction
E/L 0 0,1L 0,2L 0,3L 0,4L 0,5L 0,6L 0,7L 0,8L 0,9L 1,0L
% 0 7 14 21 31 41 52 63 75,5 87,7 100
• STEP 7
• Sheer correction
•
• Regulation 38 Sheer
• Sheer is defined as being the curvature of the freeboard deck in a fore and aft direction.
• Benefits of sheer include:
• Greater reserve buoyancy at the ends of the ship, particularly forward, ensuring good lift in a
head/following sea;
• Reduces water shipped on deck;
• Reduces risk of foredeck being submerged after collision thus improving survivability in the
damaged condition and helps to maintain an acceptable angle of heel at which progressive
downflooding takes place.
• The tabular freeboards are based upon a standard sheer profile (standard ship), measured at
seven equally spaced stations along the hull. A process based on Simpson’s 1331 Rule of area
estimation is applied separately to the sheer measurements from the aft perpendicular to
amidships and the forward perpendicular to amidships to produce measures of effective sheer aft
and forward respectively.
• Any deficiency in sheer will result in an increase in freeboard.
• Excess sheer will result in a deduction in freeboard.
• Regulation 38 Sheer
• Regulation 38 Sheer
• General
• (1) The sheer shall be measured from the deck at side to a line of
reference drawn parallel to the keel through the sheer line amidships.
• (2) In ships designed with a rake of keel, the sheer shall be measured
in relation to a reference line drawn parallel to the design load
waterline.
• (3) In flush deck ships and in ships with detached superstructures the
sheer shall be measured at the freeboard deck.
• (4) In ships with topsides of unusual form in which there is a step or
break in the topsides, the sheer shall be considered in relation to the
equivalent depth amidships.
• Standard sheer profile
• (8) The ordinates of the standard sheer profile are given in the following
table:
72/36
CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A TYPE ‘A’ fREEBOARD
• Correction for sheer profile (Regulation 38):
Ordinate in
mm
Ordinate
in mm
Factor Multiply Factor Multiply
Forward
perpendicular
50(L/3+10) 1 1
FP-1/6 L 22.2(L/
3+10)
3 3
FP-1/3 L 5.6(L/3+10) 3 3
Amidship 0 1 1 Correction in mm
Total Σ1= Σ2=
Amidship 0 1 1
AP+1/3 L 2.8(L/3+10) 3 3
AP+1/6 L 11.1(L/
3+10)
3 3
After
Perpendicular
25(L/3+10) 1 1
Total Σ3= Σ4=
Σ5=Σ1+Σ3 Σ6=Σ2+Σ4






 

L
S
2
75
.
0


L
L
y
s
'
3
1


















L
S
s
2
75
.
0
16
6
5
• (12) Sheer credit for a poop or forecastle
• Where sheer credit is given for a poop or forecastle the following formula shall be
• used:
•
• where:
• s is the sheer credit, to be deducted from the deficiency, or added to the excess of sheer;
• y is the difference between actual and standard height of superstructure at the after or
forward perpendicular;
• L′ is the mean enclosed length of poop or forecastle up to a maximum length of 0.5 L; and
• L is the length of the ship as defined in regulation 3(1).
• The above formula provides a curve in the form of a parabola tangent to the actual sheer
curve at the freeboard deck and intersecting the end ordinate at a point below the
superstructure deck a distance equal to the standard height of a superstructure. The
superstructure deck shall not be less than standard height above this curve at any point. This
curve shall be used in determining the sheer profile for forward and after halves of the ship.
• (13) (a) Any excess in the height of a superstructure which does not extend to
the
• after perpendicular cannot be regarded as contributing to the sheer allowance.
•
• (b) Where the height of a superstructure is less than standard, the
superstructure deck shall not be less than the minimum height of the
superstructure above the virtual shear curve at any point. For this purpose y
shall be taken as the difference between the actual and minimum height of the
superstructure at the after/forward perpendicular.
• (c) For a raised quarterdeck credit may be given only when the height of this
quarterdeck is greater than the standard height of ’other superstructures’ as
defined in regulation 33, and only for the amount by which the actual height of
the raised quarterdeck exceeds that standard height.
• (d) Superstructures with sloping end bulkheads
• When a poop or a forecastle has sloping end bulkheads, the sheer credit may be
allowed on account of excess height. The formula given in paragraph (12) shall
be used, the values for y and L’ being as shown in figure 38.3.
Correction for variations from standard sheer profile
(14) The correction for sheer shall be the deficiency or excess of sheer (see
paragraphs (9) to (11) inclusive), multiplied by
where S1 is the total length S of enclosed superstructures as defined in
regulation 34 without trunks.
Addition for deficiency in sheer
(15) Where the sheer is less than the standard, the correction for deficiency in
sheer (see paragraph (14)) shall be added to the freeboard.
•Deduction for excess sheer (Midship Superstructure
Correction)
•in the case of a ship having an excess of sheer :
•a) In ships where an enclosed superstructure covers 0.1L before
and 0.1L abaft amidships, the correction for excess of sheer as
calculated under the provisions of paragraph (14) shall be
deducted from the freeboard;
•b) in ships where no enclosed superstructure covers amidships,
no deduction shall be made from the freeboard;
79/36
CALCULATION PROCEDURE FOR THE
ASSIGNMENT OF A TYPE ‘B’ FREEBOARD
Standard Freeboard From the Table FT
Length correction +FL
CB correction (FT +FL) x FC
Depth correction +/-FD
Superstructure correction +/-FSS
Sheer correction + -FSS
This calculation gives us summer freeboard
OTHER FREEBORD VALUES
Tropical Water Freeboard FT= Fs-T/48 mm
Winter Freeboard Fw= Fs+T/48 mm
North Attlantic Freeboard FWNA= Fw+50 mm
Fresh water Freeboard FF= Fs- D/4TPC mm
Tropical Fresh water FFT= FF-T/48 mm
• STEP 7
• Minimum bow height and reserve buoyancy
•
• Regulation 39
• Minimum bow height and reserve buoyancy
• A minimum allowable bow height must be maintained when the vessel is
floating to the summer load line at its design trim. The assigned Summer
Freeboard for a vessel must be increased, if necessary, to ensure that the
minimum bow height requirements are met. The minimum bow height
measured at the forward perpendicular at the summer waterline.
• (1) The bow height (Fb), defined as the vertical distance at the forward
perpendicular between the waterline corresponding to the assigned
summer freeboard and the designed trim and the top of the exposed deck
at side, shall be not less than:
• Where,
• Fb is the calculated minimum bow height, in mm;
• L is the length, as defined in regulation 3, in m;
• B is the moulded breadth, as defined in regulation 3, in m;
• d1 is the draught at 85% of the depth D, in m;
• Cb is the block coefficient, as defined in regulation 3;
• Cwf is the waterplane area coefficient forward of L/2:
• Cwf = Awf/{(L/2) x B};
• Awf is the waterplane area forward of L/2 at draught d1, in m2.
• For ships to which timber freeboards are assigned, the summer freeboard
(and not the timber summer freeboard) is to be assumed when applying
paragraph (1).
• (2) Where the bow height required in paragraph (1) is obtained by
sheer, the sheer shall extend for at least 15% of the length of the
ship measured from the forward perpendicular. Where it is
obtained by fitting a superstructure, such superstructure shall
extend from the stem to a point at least 0.07L abaft the forward
perpendicular, and shall be enclosed as defined in regulation 3(10).
•
• (3) Ships which, to suit exceptional operational
requirements, cannot meet the requirements of
paragraphs (1) and (2) of this regulation may be given
special consideration by the Administration.
• (4) (a) The sheer of the forecastle deck may be taken into
account, even if the length of the forecastle is less than
0.15L, but greater than 0.07L, provided that the forecastle
height is not less than one half of standard height of
superstructure as defined in regulation 33 between 0.07L
and the forward perpendicular.
• (5) All ships assigned a type .B. freeboard, other than oil tankers,
chemical tankers and gas carriers, shall have additional reserve
buoyancy in the fore end. Within the range of 0.15L abaft of the
forward perpendicular, the sum of the projected area between
the summer load waterline and the deck at side (A1 and A2 in
figure 39.3) and the projected area of an enclosed
superstructure, if fitted, (A3) shall not be less than:
• (0.15Fmin + 4(L/3 + 10))L/1000 m2,
• where:
• Fmin is calculated by: Fmin = (F0 x f1) + f2;
• F0 is the tabular freeboard, in mm, taken from table 28.2,
corrected for regulation 27(9) or 27(10), as applicable;
• f1 is the correction for block coefficient given in regulation 30;
and
• f2 is the correction for depth, in mm, given in regulation 31 .
• Regulation 40
• Minimum freeboards
• Summer freeboard
• (1) The minimum freeboard in summer shall be the freeboard derived
from the tables in regulation 28, as modified by the corrections in
regulations 27, as applicable, 29, 30, 31, 32, 37, 38 and, if applicable,
39.
• (2) The freeboard in salt water, as calculated in accordance with
paragraph (1), but without the correction for deck line, as provided by
regulation 32, shall not be less than 50 mm. For ships having in position
1 hatchways with covers which do not comply with the requirements of
regulation 16(1) through (5) or regulation 26, the freeboard shall be not
less than 150 mm.
• Tropical freeboard
• (3) The minimum freeboard in the Tropical Zone shall be the freeboard obtained
by a deduction from the summer freeboard of one forty-eighth of the summer
draught measured from the top of the keel to the centre of the ring of the load
line mark.
• (4) The freeboard in salt water, as calculated in accordance with paragraph (3),
but without the correction for deck line, as provided by regulation 32, shall not
be less than 50 mm. For ships having in position 1 hatchways with covers which
do not comply with the requirements of regulation 16(1) through (5) or
regulation 26, the freeboard shall be not less than 150 mm.
• Winter freeboard
• (5) The minimum freeboard in winter shall be the freeboard obtained by an
addition to the summer freeboard of one forty-eighth of summer draught,
measured from the top of the keel to the centre of the ring of the load line mark.
• Winter North Atlantic freeboard
• (6) The minimum freeboard for ships of not more than 100 m in length which enter any
part of the North Atlantic defined in regulation 52 (Annex II) during the winter seasonal
period shall be the winter freeboard plus 50 mm. For other ships, the winter North Atlantic
freeboard shall be the winter freeboard.
• Fresh water freeboard
• (7) The minimum freeboard in fresh water of unit density shall be obtained by deducting
from the minimum freeboard in salt water:
•
• ∆/(40*T) (cm)
• where:
• ∆ is the displacement in salt water in tonnes at the summer load waterline; and
• T is the tonnes per centimetre immersion in salt water at the summer load waterline.
• (8) Where the displacement at the summer load waterline cannot be certified, the
deduction shall be one forty-eight of summer draught, measured from the top of the keel
to the centre of the ring of the load line mark.

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Linea de carga - Diseños de barcos ship desing

  • 2. DRAFT • Draft relates to the depth of water required for a vessel to float freely and is measured vertically from the underneath side of the keel to the waterline. FREEBOARD • The vertical distance from the waterline to the lowest point of the main deck.
  • 3.
  • 4.
  • 6. • INTRODUCTION - In a document from the 1st century BC found inTunisia containing a contract for shipping of goods, the master of a cargo ship seriously promised not to overload the ship. This is probably the oldest reference to freeboard. - The safety relationship between freeboard and draught was first written in a Lloyd's Rule of 1835. HISTORY
  • 7. • In the second half of eighteen century, Lloyd’s Register recommended that the freeboard should be not less than two to inches. • In view of increasing number of casualties at sea and because of the campaign of Samuel Plimsoll (1824 – 1899) the British Board of Trade issued the Merchant Shipping Act in 1873 requiring that the load line mark shall be placed on shipside. • This mark should be in the form of a disk crossed by horizontal line, the form that with small changes survived until present time. This mark, sometimes called the Plimsoll line • In 1885 Lloyds Register of shipping created Load Lines Committee that developed first freeboard tables and conditions of assignment, which were in use in Great Britain until 1930. They did not differ substantially from those that were adopted by the 1930 LL conference. HISTORY
  • 9. • In order to issue the load line certificate: - freeboard calculation shall aproved by the flag authority -freeboard plan shall aproved by the flag authority • Initial Survey shall be carried out according to approved freeboard plan
  • 10. Freeboard was considered to be a measure of reserve buoyancy and its amount was related to the length of the ship with several corrections taking into account : * block coefficient, * depth, *position of the deck line, * superstructures, trunks etc. * sheer, * Bow height.
  • 11. The principal conditions that must be satisfied before freeboard may be assigned to any ship take account of the following: • structural strength of the ship; • preservation of reserve buoyancy; • physical means of preventing entry of water into the hull; • safety of the crew on the weather deck; • potential wetness of the weather deck; • stability in the normal loaded condition (intact stability); • degree of subdivision and stability after suffering prescribed damage.
  • 12. • Type ’A’ ships - Ships designed solely for the carriage of liquids ( e.g. Tankers ) • Type “B” - Cargo ships other than Type “A”, Ship Types
  • 13. • Type .B. ships • Type (B-60) vessels: • The vessel must have an LBP of between 100 and 150 m. It must survive the flooding of any single compartment (excluding the machinery space). If greater than 150 m LBP, the machinery space must be considered as a floodable compartment. A typical ship type for a Type (B-60) vessel is a bulk carrier. • Type (B-100) vessels: • The vessel must have an LBP of between 100 and 150 m. It must survive the flooding of any two adjacent fore and aft compartments (excluding the machinery space). If greater than 150 m LBP , the machinery space must be considered as a floodable compartment. Such a vessel may be classified as a Type ‘A’ vessel.
  • 14. Article 4 - Application The present Convention shall apply to ships engaged on international voyages.
  • 15. Article 5 - Exceptions (1). The present Convention shall not apply to: (a). ships of war; (b). new ships of less than 24 metres (79 feet) in length; (c). existing ships of less than 150 tons gross; (d). pleasure yachts not engaged in trade; (e). fishing vessels.
  • 16. CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A FREEBOARD
  • 17. • STEP 1 • Calculation Load Line Length
  • 18. • (1). Length • (a). The length (L) shall be taken as 96% of the total length on a waterline at 85% of the least moulded depth measured from the top of the keel, or LBP, if that be greater.
  • 19.
  • 20.
  • 21.
  • 22. • STEP 2 • Obtain the tabular freeboard (Regulation 28):From the Table ascertain the ship’s tabular freeboard for the ship’s length (L). The tabular freeboard is the freeboard that would be assigned to a standard ship built to the highest recognised standard and having five specific characteristics as follows: * a block coefficient of 0.68; * a length to depth ratio of 15 i.e. L/D = 15; * no superstructure; * a parabolic sheer of the freeboard deck attaining a particular height at the forward and after perpendiculars as prescribed by formulae (depending on the length of the ship); * a minimum bow height above the load waterline as prescribed by formulae (depending on Cb and length of ship).
  • 23. 23/36 CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A TYPE ‘A’ FREEBOARD
  • 24. 24/36 CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A TYPE ‘B’ FREEBOARD
  • 25.
  • 26. • Regulation 29 Correction to the freeboard for ships under 100 m in length • The tabular freeboard for a type B ship of between 24 m and 100 m in length having enclosed superstructures with an effective length of up to 35% of the length of the ship shall be increased by: • where • L is the length of the ship in m; and • E1 is the effective length E of superstructure in m as defined in regulation 35, but excluding the length of trunks. STEP 3: Length correction
  • 27. (7) Block coefficient (a) The block coefficient (Cb) is given by: Where is the volume of the moulded displacement of the ∇ ship, excluding appendages, in a ship with a metal shell, and is the volume of displacement to the outer surface of the hull in a ship with a shell of any other material, both taken at a moulded draught of d1; and where d1 is 85% of the least moulded depth. (b) When calculating the block coefficient of a multi-hull craft, the full breadth (B) is to be used and not the breadth of a single hull. STEP 4: CB correction
  • 28. 28/26 CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A TYPE ‘A’ FREEBOARD • Correction for block coefficient (Regulation 30): The standard ship has a block coefficient of 0.68. If Cb is greater than this the freeboard must be increased. This is achieved by: Tabular Freeboard specified in regulation 28 as modified, if applicable, by regulations 29 (length correction) shall be multiplied by the factor: • ´ (C b + 0.68)/1.36 •
  • 29. • STEP 5 • Depth correction •
  • 30. (5) Moulded Depth (a) The moulded depth is the vertical distance measured from the top of the keel to the top of the freeboard deck beam at side. In wood and composite ships the distance is measured from the lower edge of the keel rabbet. Where the form at the lower part of the midship section is of a hollow character, or where thick garboards are fitted, the distance is measured from the point where the line of the flat of the bottom continued inwards cuts the side of the keel.
  • 31. Freeboard and freeboard depth The freeboard can be expressed as the following equation. Fb = Dmolded + tdeck - Ts = Df - Ts
  • 32.
  • 33.
  • 34. (b) In ships having rounded gunwales, the moulded depth shall be measured to the point of intersection of the moulded lines of deck and sides, the lines extending as though the gunwale were of angular design.
  • 35. (6) Depth for Freeboard (D) • (a) This is the moulded depth amidships, plus the thickness of the freeboard deck stringer plate, where fitted, plus TD(L – S)/L if the exposed freeboard deck is sheathed, where: TD is the mean thickness of the exposed sheathing clear of deck openings, and S is the total length of superstructures. L S L T D D or T D D D F S F      ........ ........
  • 36. • Regulation 31 Correction for depth • The standard ship has a L/D ratio of 15. If the L/D ratio is less than 15, which is usually the case, the freeboard is increased.
  • 37. •Regulation 31 Correction for depth •(1)That is where D exceeds L/15 the freeboard shall be increased by: •(D ‑ L/15 ) R mm •Where R is: •- L/0,48 at lengths less than 120 metres and •- 250 at 120 metres length and above. •(2) Where D is less than L/15 no reduction shall be made except in a ship with •- an enclosed superstructure covering at least 0.6L amidships, •- with a complete trunk, or - combination of detached enclosed superstructures and trunks which extend all fore and aft, where the freeboard shall be reduced at the rate prescribed in above (1) paragraph .
  • 38. •(3) Negative depth correction : Where the height of the superstructure or trunk is less than the corresponding standard height, the calculated reduction shall be corrected in the ratio of the height of the actual superstructure or trunk to the applicable standard height, as defined in regulation 33.
  • 39.
  • 40. • Regulation 32-1 (NOT INCLUDED FOR THE KNOWLEDGE) • Correction for recess in freeboard deck • (1) Where a recess is arranged in the freeboard deck, and it does not extend to the sides of the ship, the freeboard calculated without regard to the recess shall be corrected for the consequent loss of buoyancy. The correction shall be equal to the value obtained by dividing the volume of the recess by the waterplane area of the ship at 85% of the least moulded depth (see figure 32-1.1). • (2) The correction shall be an addition to the freeboard obtained after all other corrections have been applied, except bow height correction. • (3) Where the freeboard, corrected for lost buoyancy as above, is greater than the minimum geometric freeboard determined on the basis of a moulded depth measured to the bottom of the recess, the latter value may be used.
  • 41.
  • 42. • STEP 6 • Superstructure correction •
  • 47.
  • 48.
  • 49.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.
  • 57. • Regulation 34 Length of superstructure • (1) Except as provided in paragraph (2), the length of a superstructure (S) shall be the mean length of the parts of the superstructure which lie within the length (L). •
  • 58.
  • 59. • Regulation 35 Effective length of superstructure • (1) Except as provided for in paragraph (2), the effective length (E) of an enclosed superstructure of standard height shall be its length. • (2) In all cases where an enclosed superstructure of standard height is set-in from the sides of the ship as permitted in regulation 3(10), the effective length shall be the length modified by the ratio of b/Bs, where: • b is the breadth of the superstructure at the middle of its length; and • Bs is the breadth of the ship at the middle of the length of the superstructure.
  • 60. • (3) Where the height of an enclosed superstructure is less than the standard height, the effective length shall be its length reduced in the ratio of the actual height to the standard height. Where the height exceeds the standard, no increase shall be made to the effective length of the superstructure.
  • 61. • (5) Superstructures which are not enclosed shall have no effective length.
  • 62. • Regulation 37 Deduction for superstructures and trunks • The standard ship has no superstructure. Enclosed superstructures of a significant height are important in providing reserve buoyancy above the freeboard deck. Freeboard deductions are allowed for effective enclosed superstructure length as a proportion of the ship’s freeboard length. • It is always a deduction in freeboard since the standard ship has no superstructure.
  • 63. • Regulation 37 • Deduction for superstructures and trunks • (1) Where the effective length of superstructures and trunks is 1.0L, the deduction from the freeboard shall be: • - 350 millimetres at 24 metres length of ship; • - 860 millimetres at 85 metres length; and • - 1070 millimetres at 122 metres length and above; • deductions at intermediate lengths shall be obtained by linear interpolation. • (2) Where the total effective length of superstructures and trunks is less than 1L, the deduction shall be a percentage obtained from the table 37.1: • (3) For ships of type .B. where the effective length of a forecastle is less than 0.07L no deduction is allowed.
  • 64.
  • 65. CALCULATION PROCEDURE FOR FREEBOARD Regulation 37 L (m) Freeboard deduction for 100% superstructure length 24 350 85 860 122 or more 1070 Percentage of Deduction E/L 0 0,1L 0,2L 0,3L 0,4L 0,5L 0,6L 0,7L 0,8L 0,9L 1,0L % 0 7 14 21 31 41 52 63 75,5 87,7 100
  • 66. • STEP 7 • Sheer correction •
  • 67. • Regulation 38 Sheer • Sheer is defined as being the curvature of the freeboard deck in a fore and aft direction. • Benefits of sheer include: • Greater reserve buoyancy at the ends of the ship, particularly forward, ensuring good lift in a head/following sea; • Reduces water shipped on deck; • Reduces risk of foredeck being submerged after collision thus improving survivability in the damaged condition and helps to maintain an acceptable angle of heel at which progressive downflooding takes place. • The tabular freeboards are based upon a standard sheer profile (standard ship), measured at seven equally spaced stations along the hull. A process based on Simpson’s 1331 Rule of area estimation is applied separately to the sheer measurements from the aft perpendicular to amidships and the forward perpendicular to amidships to produce measures of effective sheer aft and forward respectively. • Any deficiency in sheer will result in an increase in freeboard. • Excess sheer will result in a deduction in freeboard.
  • 69.
  • 70. • Regulation 38 Sheer • General • (1) The sheer shall be measured from the deck at side to a line of reference drawn parallel to the keel through the sheer line amidships. • (2) In ships designed with a rake of keel, the sheer shall be measured in relation to a reference line drawn parallel to the design load waterline. • (3) In flush deck ships and in ships with detached superstructures the sheer shall be measured at the freeboard deck. • (4) In ships with topsides of unusual form in which there is a step or break in the topsides, the sheer shall be considered in relation to the equivalent depth amidships.
  • 71. • Standard sheer profile • (8) The ordinates of the standard sheer profile are given in the following table:
  • 72. 72/36 CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A TYPE ‘A’ fREEBOARD • Correction for sheer profile (Regulation 38): Ordinate in mm Ordinate in mm Factor Multiply Factor Multiply Forward perpendicular 50(L/3+10) 1 1 FP-1/6 L 22.2(L/ 3+10) 3 3 FP-1/3 L 5.6(L/3+10) 3 3 Amidship 0 1 1 Correction in mm Total Σ1= Σ2= Amidship 0 1 1 AP+1/3 L 2.8(L/3+10) 3 3 AP+1/6 L 11.1(L/ 3+10) 3 3 After Perpendicular 25(L/3+10) 1 1 Total Σ3= Σ4= Σ5=Σ1+Σ3 Σ6=Σ2+Σ4          L S 2 75 . 0   L L y s ' 3 1                   L S s 2 75 . 0 16 6 5
  • 73. • (12) Sheer credit for a poop or forecastle • Where sheer credit is given for a poop or forecastle the following formula shall be • used: • • where: • s is the sheer credit, to be deducted from the deficiency, or added to the excess of sheer; • y is the difference between actual and standard height of superstructure at the after or forward perpendicular; • L′ is the mean enclosed length of poop or forecastle up to a maximum length of 0.5 L; and • L is the length of the ship as defined in regulation 3(1). • The above formula provides a curve in the form of a parabola tangent to the actual sheer curve at the freeboard deck and intersecting the end ordinate at a point below the superstructure deck a distance equal to the standard height of a superstructure. The superstructure deck shall not be less than standard height above this curve at any point. This curve shall be used in determining the sheer profile for forward and after halves of the ship.
  • 74. • (13) (a) Any excess in the height of a superstructure which does not extend to the • after perpendicular cannot be regarded as contributing to the sheer allowance. • • (b) Where the height of a superstructure is less than standard, the superstructure deck shall not be less than the minimum height of the superstructure above the virtual shear curve at any point. For this purpose y shall be taken as the difference between the actual and minimum height of the superstructure at the after/forward perpendicular. • (c) For a raised quarterdeck credit may be given only when the height of this quarterdeck is greater than the standard height of ’other superstructures’ as defined in regulation 33, and only for the amount by which the actual height of the raised quarterdeck exceeds that standard height. • (d) Superstructures with sloping end bulkheads • When a poop or a forecastle has sloping end bulkheads, the sheer credit may be allowed on account of excess height. The formula given in paragraph (12) shall be used, the values for y and L’ being as shown in figure 38.3.
  • 75. Correction for variations from standard sheer profile (14) The correction for sheer shall be the deficiency or excess of sheer (see paragraphs (9) to (11) inclusive), multiplied by where S1 is the total length S of enclosed superstructures as defined in regulation 34 without trunks.
  • 76. Addition for deficiency in sheer (15) Where the sheer is less than the standard, the correction for deficiency in sheer (see paragraph (14)) shall be added to the freeboard.
  • 77. •Deduction for excess sheer (Midship Superstructure Correction) •in the case of a ship having an excess of sheer : •a) In ships where an enclosed superstructure covers 0.1L before and 0.1L abaft amidships, the correction for excess of sheer as calculated under the provisions of paragraph (14) shall be deducted from the freeboard; •b) in ships where no enclosed superstructure covers amidships, no deduction shall be made from the freeboard;
  • 78.
  • 79. 79/36 CALCULATION PROCEDURE FOR THE ASSIGNMENT OF A TYPE ‘B’ FREEBOARD Standard Freeboard From the Table FT Length correction +FL CB correction (FT +FL) x FC Depth correction +/-FD Superstructure correction +/-FSS Sheer correction + -FSS This calculation gives us summer freeboard OTHER FREEBORD VALUES Tropical Water Freeboard FT= Fs-T/48 mm Winter Freeboard Fw= Fs+T/48 mm North Attlantic Freeboard FWNA= Fw+50 mm Fresh water Freeboard FF= Fs- D/4TPC mm Tropical Fresh water FFT= FF-T/48 mm
  • 80. • STEP 7 • Minimum bow height and reserve buoyancy •
  • 81. • Regulation 39 • Minimum bow height and reserve buoyancy • A minimum allowable bow height must be maintained when the vessel is floating to the summer load line at its design trim. The assigned Summer Freeboard for a vessel must be increased, if necessary, to ensure that the minimum bow height requirements are met. The minimum bow height measured at the forward perpendicular at the summer waterline. • (1) The bow height (Fb), defined as the vertical distance at the forward perpendicular between the waterline corresponding to the assigned summer freeboard and the designed trim and the top of the exposed deck at side, shall be not less than:
  • 82. • Where, • Fb is the calculated minimum bow height, in mm; • L is the length, as defined in regulation 3, in m; • B is the moulded breadth, as defined in regulation 3, in m; • d1 is the draught at 85% of the depth D, in m; • Cb is the block coefficient, as defined in regulation 3; • Cwf is the waterplane area coefficient forward of L/2: • Cwf = Awf/{(L/2) x B}; • Awf is the waterplane area forward of L/2 at draught d1, in m2. • For ships to which timber freeboards are assigned, the summer freeboard (and not the timber summer freeboard) is to be assumed when applying paragraph (1).
  • 83. • (2) Where the bow height required in paragraph (1) is obtained by sheer, the sheer shall extend for at least 15% of the length of the ship measured from the forward perpendicular. Where it is obtained by fitting a superstructure, such superstructure shall extend from the stem to a point at least 0.07L abaft the forward perpendicular, and shall be enclosed as defined in regulation 3(10). •
  • 84. • (3) Ships which, to suit exceptional operational requirements, cannot meet the requirements of paragraphs (1) and (2) of this regulation may be given special consideration by the Administration. • (4) (a) The sheer of the forecastle deck may be taken into account, even if the length of the forecastle is less than 0.15L, but greater than 0.07L, provided that the forecastle height is not less than one half of standard height of superstructure as defined in regulation 33 between 0.07L and the forward perpendicular.
  • 85. • (5) All ships assigned a type .B. freeboard, other than oil tankers, chemical tankers and gas carriers, shall have additional reserve buoyancy in the fore end. Within the range of 0.15L abaft of the forward perpendicular, the sum of the projected area between the summer load waterline and the deck at side (A1 and A2 in figure 39.3) and the projected area of an enclosed superstructure, if fitted, (A3) shall not be less than: • (0.15Fmin + 4(L/3 + 10))L/1000 m2, • where: • Fmin is calculated by: Fmin = (F0 x f1) + f2; • F0 is the tabular freeboard, in mm, taken from table 28.2, corrected for regulation 27(9) or 27(10), as applicable; • f1 is the correction for block coefficient given in regulation 30; and • f2 is the correction for depth, in mm, given in regulation 31 .
  • 86.
  • 87. • Regulation 40 • Minimum freeboards • Summer freeboard • (1) The minimum freeboard in summer shall be the freeboard derived from the tables in regulation 28, as modified by the corrections in regulations 27, as applicable, 29, 30, 31, 32, 37, 38 and, if applicable, 39. • (2) The freeboard in salt water, as calculated in accordance with paragraph (1), but without the correction for deck line, as provided by regulation 32, shall not be less than 50 mm. For ships having in position 1 hatchways with covers which do not comply with the requirements of regulation 16(1) through (5) or regulation 26, the freeboard shall be not less than 150 mm.
  • 88. • Tropical freeboard • (3) The minimum freeboard in the Tropical Zone shall be the freeboard obtained by a deduction from the summer freeboard of one forty-eighth of the summer draught measured from the top of the keel to the centre of the ring of the load line mark. • (4) The freeboard in salt water, as calculated in accordance with paragraph (3), but without the correction for deck line, as provided by regulation 32, shall not be less than 50 mm. For ships having in position 1 hatchways with covers which do not comply with the requirements of regulation 16(1) through (5) or regulation 26, the freeboard shall be not less than 150 mm. • Winter freeboard • (5) The minimum freeboard in winter shall be the freeboard obtained by an addition to the summer freeboard of one forty-eighth of summer draught, measured from the top of the keel to the centre of the ring of the load line mark.
  • 89. • Winter North Atlantic freeboard • (6) The minimum freeboard for ships of not more than 100 m in length which enter any part of the North Atlantic defined in regulation 52 (Annex II) during the winter seasonal period shall be the winter freeboard plus 50 mm. For other ships, the winter North Atlantic freeboard shall be the winter freeboard. • Fresh water freeboard • (7) The minimum freeboard in fresh water of unit density shall be obtained by deducting from the minimum freeboard in salt water: • • ∆/(40*T) (cm) • where: • ∆ is the displacement in salt water in tonnes at the summer load waterline; and • T is the tonnes per centimetre immersion in salt water at the summer load waterline. • (8) Where the displacement at the summer load waterline cannot be certified, the deduction shall be one forty-eight of summer draught, measured from the top of the keel to the centre of the ring of the load line mark.