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.TASK-A: - SHIP DESIGN PROBLEM
Part I Design three ship hulls for carrying crude oil cargo which conforms to,
i) Single hull oil tanker
ii) Double hull oil tanker
iii) Combination carrier
Part II Analyze the following ship design characteristics in each of the above cases:
i) Stability
ii) Structural strength
iii) Cargo handling
Part III erform a comparative study of the advantages and disadvantages of each of
the three ship hulls
!ence from the above prove which one of these hulls is scientifically and technically
a superior design as compared to other two"
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SOLUTION
SINGLE HULL OIL TANKER:#
$hese tankers are intended to carry oils of flash point appro%imately &'o C"(t
consists of only one hull"
Cargo Area: Cargo area is that part of the vessel that contains cargo tanks,slop tanks and
cargo pump rooms including coffer dams,ballast and void spaces adacent to cargo
tanks"Slop tank means a tank specifically designated for the collection of tank drainings,
tank washings and other oily mi%tures"
Bulkea!": *oth transverse and longitudinal bulkheads are fitted for subdivision of ship"
DOUBLE HULL OIL TANKER
Double !ull is a ship hull design and construction method where the bottom and
sides of the ship have two complete layers of watertight hull surface:+ne outer layer
forming the normal hull of the ship,and a second inner hull which is some what further
into the ship,which forms a barrier to sea water in case the outer hull is damaged"$he
space in between the two hull layers is often used as storage tanks for fuel or ballast
water" According to the marpol regulation -./ double hull is compulsory for oil tanker"
Double !ull 0 Double *ottom 1 Double Side Shell
Ge#eral:
$he bottom shell,inner bottom and deck are generally to be longitudinally
framed in the cargo tank region"2or ships of length 345'm the side shell,inner hull and
longitudinal bulkheads are also to be longitudinally frame"
Double hull crude oil tanker is a vessel having full depth water ballast tank and
full breadth double bottom tanks for fuel oil or water ballast throughout the cargo
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area,intended to prevent or atleast reduce the li7uid cargo outflow in an accidental
grounding or collision"
S$% !e"&r$%t$o#
Ge#eral: $he vessel is a single screw all welded ship with machinery aft"$he ship has
forecastle,sheer,camber"
Botto' Stru&ture: 8ongitundinal girders are to be provided at centre line, under
longitudinal bulkhead"
(n way of vertically corrugated transverse bulkheads supported by stools" $he inner
bottom plating thickness and longitudinals are to be complying with the re7uirements"
Shell lating: $he longitudinals are continuous between bulkheads"
Bulkea!": *oth transerverse and longitudinal bulkheads are fitted for subdivision of
ship" $he number of longitudinal bulkheads depends on the size of the ship"(f the size of
ship is large two longitudinal bulkheads are fitted to reduce free surface effect"
COMBINATION CARRIER: - OBO
An +*+ is a vessel which can carry cargo in both li7uid and dry form and a
typical use is alternation between transportation of crude oil and coal"A vessel of this type
is also known as a 9+*+ roduct.ore.bulk.oil) carrier or a combination carrier"+*+;s
are single deck vessel in which the deck is important for structural strength of the vessel"
$he vessel is divided into several cargo holds by transerverse bulkheads with
access from the above provided by hatches in the deck"
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$he width of the hatches i"e) the e%tent of the hatches in the transverse direction
of the vessel, is much smaller than the beam of the vessel normally 5' percent of the
beam of the vessel" $he reason for this is two fold = 2irstly, larger hatches would not
render sufficient space on deck for placing the hatch covers between the hatch coaming
and the side of the vessel and secondly larger hatches would impair the structural strength
of the vessel by the rendering insufficient structural steel in the deck"
PART II
STABILIT(:
Survivability: Survivability is a measure of a vessel;s ability to survive i"e) not
capsize or sink after sustaining damage to the hull"A probabilistic methodology was used
to asses the survivability of single hull and double hull tankers"$he average survivability
indices for each tanker size is given in the table"
Survivability (nde%
>essel Capacity Single !ull Double !ull
-5'''#5'''' ?5 ?5"?
/''''#4'''' ??"& ??"
4-5'''#4&''' 4'' ??"
6&5'''#-''''' ??"-? 4''
@
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(t is important that above study investigated the relative performance of different
designs to mitigate outflow if they e%perience a collision or grounded that breached the
outer hull"
INTACT STABILIT(
Single hull tankers are generally stable under all loading
conditions"$herefore stability during operation when no damage has occurred has not
been a concern of tanker operator in part"(n contrast certain double hull tankers can
become unstable during cargo and ballast operations"$he reduction in the intact stability
of double hull tankers compared to single hull tankers is due to the increased height of the
center of gravity of a double hull vessel "$he free surface effect depends on the tank
arrangement"
PRINCIPLES O) INTACT STABILIT(
$he stability of a ship is influenced by a number of factors: the vertical center
of gravity of the ship, the free surface of li7uids within tanks, and the righting moment
developed as the vessel heels"
$he vessel shown in 2igure a) e%hibits positive transverse stability" As the vessel
heels, the center of buoyancy shifts from * to * 4" $he buoyancy force acts upward
through the center of buoyancy * 4, and the weight of the vessel acts downward through
the vertical center of gravity " $he distance B is the righting arm" As the buoyancy
force is tending to right the vessel, the ship is stable, and the righting arm B is positive"
$he vessel in 2igureb) illustrates the impact of the rise in the center of gravity on
stability" $he heeling moment has increased to where it now e%ceeds the buoyancy
moment, and the vessel has negative stability" $he weight force is now acting outboard of
the buoyancy force, and the righting arm B is negative"
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2(9< >ariation in intact stability" a) ositive stability" b) egative stability"
STRUCTUAL STRENGTH
$he longitudinal structural strength is determined based on the section
modulus of midship section"
Section modulus B 0 Y
I
Ehere ( is the Foment of (nertia about eutral a%is"
G is the distance from neutral a%is to the e%treme layer"
Ee know the fle%ural formula that,
R
E
YI
M==
Consider,
YI
M =
ZY
IM==
&
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$he permissible stress is known"2rom this the total bending moment can be found
out"$he total bending moment is the sum of still water bending moment and wave
bending moment"
$he still water bending moment can be obtained from empirical formulas and
substracting this from total bending moment,wave bending moment is obtained"$he wave
bending moment obtained is checked with the minimum re7uirements and hence the
structural strength is evaluated"
(n single hull tankers the structural strength is less because the longitudinal
members are less when compared to the double hull tankers additional double
bottom)"Due to decrease in moment of inertia the section modulus is reduced"2or a given
value of allowable stress the allowable bending moment is reduced"
(n combination carriers the bottom is strengthened more" (n this type of carriers the bulk
cargo is carried in cargo holds and the oil is carried in wing tanks"Since the bottom is
more strengthened it will contribute to more longitudinal streangth"
((() CARGO HANDLING:
Cargo handling systems for single hull oil tankers and double hull oil tankers"
$he system include,
4" Cargo pump rooms
6" Cargo pump"
-" Cargo piping systems"
@" 9emote control of values"
5" Cargo handling control"
&" Cargo handling arrangement"
Cargo %u'% roo'" a#! %$%$#g:
ump rooms may be single or multiple" Ehere large tankers are designed solely
to carry crude oil, a single pump room is fitted aft adacent to the machinery spaces" $he
piping system is of direct line type, three or four lines being provided each with suctions
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from a group of tanks" A few large tankers have a discharge system which relies on
hydraulically controlled sluice valves in the tank bulkheads" $hese permit a flow of oil to
the common suction in the aft tank space"
Cargo Pu'%":
$he main cargo pumps are of centrifugal type motor driven or geared turbine and
have a very high pumping capacity say -5''m-.hour"*ecause of their high capacities the
centrifugal cargo pumps are unsuitable for emptying the tanks completely and for this
purpose reciprocating pumps with capacities say -5'm- .hour are provided" $anker cargo
discharge systems are now often fully computerized"
Re'ote &o#trol o* +al+e":
>alves on deck and in pump rooms which are provided with manual control"(n
general there should be alternate arrangement for local manual operation which is
independent of remote operating mechanism"$he design of the actuator is to be such that
contamination of the operating medium with the cargo li7uid cannot take place under
normal conditions"
CARGO HANDLING IN COMBINATION CARRIERS ,OBO
(n this case the cargo handling consists of handling bulk cargo and handling
oil" 8oading of bulk cargo is normally carried out by conveyor belt.shiploaders or grabs
which drop the cargo vertically into the hold" $he relatively small hatch openings
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compared to the beam of the vessel means that the loading e7uipmentHs access to the
outer parts of the hold is hindered by the deck, which forms an IoverhangI above this
part of the hold, normally resulting in a need for e%tra trimming"
Discharging of bulk cargo from a hold is normally carried out by discharging
e7uipment temporarily located above the hatch, comprising a gantry crane with a large
grab which is lowered into the bulk cargo, and which to a limited e%tent is moveable in
the transverse direction of the hold" Again the relatively small hatch opening compared to
the beam of the vessel is a limitation, as the IoverhangI created by the deck hinders the
grabHs access to the outer parts of the hold" $o get better access to the outer parts of the
hold, the grab is often forced in the transverse direction of the hatch, which may cause
damage to the hatch coamings" As a considerable amount of cargo is unreachable by the
grab, a caterpillar is lowered into the hold to move the bulk cargo from the outer parts of
the hold into the area which is accessible to the grab.discharging e7uipment, which is a
time#consuming and costly operation" Ehen transporting dry cargo the hatches are
closed, the hatch covers being tightened and secured to the hatch coamings"
Discharging of bulk cargo from a hold is normally carried out by discharging
e7uipment temporarily located above the hatch, comprising a gantry crane with a large
grab which is lowered into the bulk cargo, and which to a limited e%tent is moveable in
the transverse direction of the hold" Again the relatively small hatch opening compared to
the beam of the vessel is a limitation, as the IoverhangI created by the deck hinders the
grabHs access to the outer parts of the hold" $o get better access to the outer parts of the
hold, the grab is often forced in the transverse direction of the hatch, which may cause
damage to the hatch coamings" As a considerable amount of cargo is unreachable by the
grab, a caterpillar is lowered into the hold to move the bulk cargo from the outer parts of
the hold into the area which is accessible to the grab.discharging e7uipment, which is a
time#consuming and costly operation" Ehen transporting dry cargo the hatches are
closed, the hatch covers being tightened and secured to the hatch coamings"
(n tanker mode, the hatch covers of the +*+ vessel are in closed
position, tightened and secured to the hatch coamings, both during loading, unloading
and transport" $he li7uid cargo is loaded through the main cargo lines, via the drop lines,
and discharged by the cargo pumps via the main cargo lines"
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PART III
COMPARITIE STUD( O) ADANTAGES AND DISADANTAGES O) EACH
O) THE THREE HULLS
4" Ehen vessel e%periences collision,
(n case of single hull tanker the oil gets spilled out into the sea which causes
a great damage to the life of marine organisms"According to the FA9+8 regulations
single hull for an oil tanker is not allowed"So the single hull is out of the case"
(n case of double hull tankers when the outer hull is damaged due to
collision the inner hull protects the oil to get spill out"$his is the advantage of double hull
oil tanker"
(n case of combination carriers there will be two cases i"e)when carrying
ore and when carrying oil in wing tanks"During collision the ore.oil gets discharged into
the sea which causes damage to the life of marine organisms"
(ncidents where single hull oil tankers spilled out oil,
issos Amorgos, a single hull tanker struck an underwater obect,puncturing its
hull and spilling a considerable amount of crude oil" Sea
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STABILIT(:
2or a given depth of ship the intact stability for a single hull tanker is more
when compared to double hull tanker"
(n the case of double hull tanker of same depth due to inner bottom the centre
of gravity of the ship will raise and hence the metacentric height reduces and hence
reduces the stability"
STRUTURAL STRENGTH:
$he structural strength of the single tanker is less when compared to the
other two because of less section modulus due to less number of longitudinal members"
(n case of double hull tankers due to more longitudinal members the
structural strength is more when compared to single hull tankers"
CARGO HANDLING:
(n the single hull and double hull oil tankers the cargo handling is done
through pumps and piping"
*ut in combination carriers the cargo handling is complicated because
the handling of both bulk cargo and oil is to be done"Seperate arrangement should be
given to each type"
PART I: 2rom the above the double hull oil tanker is better compared to the other two
in the discussed aspects"
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TASK-B:-
9
>7
?. Re"$"ta#&e a#!
Pro%ul"$o# Cal&ulat$o#" ?4
0@. Pro%eller De"$g# Cal&ulat$o#" ??
00. De"$g# o* Ge#eral Arra#ge'e#t a#! Cargo Ha#!l$#g S@
06. Re*ere#&e" 0>5
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CHAPTER-0
O=NERS REUIREMENTS
4"$ype of Cargo:
ON=ARD OURNE(: Stones, Clay,*ricks and other building materials from
(ndia to Dubai
RETURN OURNE(: C9D< +(8 from ulf to (ndia
6" Size of the Ship:55''' $onnes Deadweight
-" Service Speed:6@ Jnots
@"umber of voyage days:4' Days
ROUTE: >(SJ!AA$AF= C!(SAJ!AA$AF = C!
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CHAPTER-5
SHIP DESIGN METHOD ,DESIGN SPIRAL
a) CONCEPT DESIGN: $he very first effort, concept design translates the mission
re7uirements into naval architectural and engineering characteristics,
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(t includes preliminary light#ship weight estimates usually derived from curves, formulas,
or e%perience" Alternative designs are generally analyzed in parametric studies during this
phase to determine the most economical design solution or whatever other controlling
parameters are considered determinant" $he selected concept design then is used as a
talking paper for obtaining appro%imate construction costs, which often determine
whether or not to initiate the ne%t level of development, the preliminary desingn""
b) PRELIMINAR( DESIGN: A shipHs preliminary design further refines the maor ship
characteristics affecting cost and performance" Certain controlling factors such as
8ength, beam, horsepower, and deadweight would not be e%pected to change upon
completion of this phase" (ts completion provides a precise definition of a vessel that will
meet the mission re7uirementsK this provides the basis for development of contract plans
and specifications"
c) CONTRACT DESIGN: $he contract design stage yields a set of plans and
specifications which form an integral part of the shipbuilding contract document" (t
encompasses one or more loops around the design spiral, thereby further refining the
preliminary design" $his stage delineates more precisely such features as hull form based
on a faired set of lines, powering based on model testing, sea keeping and maneuvering
characteristics, the effect of number of number of propellers on hull form, structural
details, use of different types of steel, spacing and type of frames" aramount, among
the contract design features, is a weight and center of gravity estimate taking into account
the location and weight of eachmaor item in the ship" $he final general arrangement is
also developed during this stage" $his fi%es the overall volumes and areas of cargo,
machinery, stores, fuel oil, fresh water, living and utility spaces and their
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interrelationship, as well as their relationship to other features such as cargo handling
e7uipment, and machinery components" $he accompanying specifications delineate
7uality standards of hull and outfit and the anticipated performance for each item of
machinery and e7uipment" $hey describe the tests and trials that shall be performed
successfully in order that the vessel will be considered acceptable"
d) DETAIL DESIGN" $he final stage of ship design is the development of detailed
working plans" $hese plans are the installation and construction instructions to the ship
fitters, welders, outfitters, metal workers, machinery vendors, pipe fitters, etc" As such,
they are not considered to be a part of the basic design process" +ne uni7ue element to
consider in this stage of design is that up to this point, each phase of the design is passed
from one engineering group to another" At this stage the interchange is from engineer to
artisan that is, the engineerHs product at this point is no longer to be interpreted, adusted,
or corrected by any other engineer" $his engineering product must une7uivocally define
the desired end result and be producible and operable"
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CHAPTER-4
DETERMINATION O) MAIN DIMENSIONS AND COE))ICIENTS
GENERAL DESCRIPTION O) THE PROECT
DOUBLE HULL CRUDE OIL TANKER CUM BULK CARRIER
DOUBLE HULL CRUDE OIL TANKER
(t is a tank vessel having full depth wing water ballast tank or other non#cargo
spaces, and full breadth double bottom tanks for fuel oil or water ballast, throughout the
cargo area, intended to prevent or at least reduce the li7uid cargo outflow in an accidental
grounding or collision"
$he double hull Crude +il $ankers can be defined as a sea going self#propelled
ships having integral tanks and intended to carry crude oil or petroleum products in bulk
having a flash point, 2"" closed cup test) not e%ceeding &'LC and whose 9eid vapour
pressure is below the atmospheric pressure"
Assignment of class notation
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(n response to continuing oil spills, double hull construction for oil tankers became
mandatory in 4??- by order of the maritime environmental protection committee of the
international maritime organization (F+)" Compared to single hull tankers, the use of
double hull construction has resulted in a distinct reduction in the probability of oil spills
resulting from collision or grounding
As a part of the academic schedule, preliminary MDesign of double hull Crude +il $anker
with 55,''' $onnes appro%imate) deadweight and 4/ knots service speedN is under
taken"
(n this design the necessary facilities and the re7uirements that fulfill the specifications of
owners, the rules of classification and statutory re7uirements of the ational and
(nternational Authorities have been implemented"
BULK CARRIER
$he class of vessel generally described as a bulk carrier is usually one designed to
carry dry cargoes economically from one port to another" *ulk means huge 7uantity" *ulk
commodities are grain, barley, wheat, sugar, phosphates, urea, ores, etc" $he densities of
these cargoes are 7uite different and so it can be seen that a general purpose cannot be as
efficiently loaded as a specially designed ship"
Ba"$& De"$g# o* te S$%:
$he main dimensions of the ship influence many of the ships characteristics such
as stabilityK hold capacity, power re7uirements and its economic efficiency" So, they
should be coordinated such that the ship satisfies the design conditions as well as the
characteristics desired by the shipping companies with various combinations of
dimensions" $he economic factor is of prime importance in designing a ship" An owner
re7uires a ship, which will give him the best possible returns for his initial investment
and running costs" $his means that the final design should be arrived at taking into
account not only the present economic considerations, but also those likely to develop
4/
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within the life of the ship" *asic design includes selection of ship dimensions, hull form,
amount of power and type of engine, preliminary arrangement of hull and machinery, and
maor structural arrangement" roper selections assure the attainment of the mission
re7uirements such as cargo carrying capacity and dead weight" (t includes checks and
modifications for achievement of re7uired cargo capacity, subdivision and stability
standards, free board and tonnage measurement"
2or the optimization of dimensions for economic efficiency, at the same time
meeting the owners re7uirements ( have adopted the following procedure" ( would have
taken the parent ship having the specified deadweight and speed" *ut to have an idea of
dimensions for optimization ( referred O9egister of Ships; compiled by classification
society 89S), which gives the particulars of ship;s built under their survey" $hese
particulars include name of the ship, its year and place of built, 8+A, 8*, *, D, $,
Speed, Deadweight, 9$, 9$, number of holds, super structure details, main engine
details etc"
Dubai is the fastest growing city in the world" 8ot of building materials
like stones, clay, bricks, tiles, concrete blocks and so many building materials are
re7uired in huge 7uantities" (t is possible to design the ship to e%port such materials to
Dubai from (ndia and import oil from gulf" (n both onward and return voyages the cargo
is being carried instead of fully ballast condition on one side and so the profitability is
increased"
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Data *ro' reg$"ter o* "$%":
$o make a study of relation of length to displacement at constant speed and
relation of length to speed at constant displacement, the following tables are made from
register of ships"
$able#4: Collect the details of ships from register of ships, from DE$ 6''' tonnes and
speed 6 knots"
$able#6: Ships of constant DE$ at different speeds"
$able#-: Ships of constant speed at varying DE$s"
$hese tables must include 8.D, *.D, 8.D, d.D ratios"
ote: while selecting the ships, ships of same dimensions and DE$ are not to be
considered"
$o get an appro%imate nearest value of CD( have calculated displacements
from the average *lock#coefficients and calculated light ship weights from the empirical
formulae"
6'
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Table 1
DATA OF SHIPS OF 50000 TONNES TO 60000 TONNES DWT WITH SPEED OF16 TO 20 KNOTS
S.No DWT LBP Breadth Depth Draft Power(kw) Power(bhp) Speed1 50027 247.3 32.2! 24.13 13.15 2!!24.00 343!.00 1".502 50250 205.01 30.41 17.33 12.17 105"2.00 14400.00 1!.003 50!00 173.51 32.21 17.1 13.2 "000.00 1223!.00 1!.004 50!55 17.00 32.20 1!.0 12.23 10474.00 1423".00 17.375 50743 21".00 3!.!0 20.40 10.3 11122.00 15120.00 1!.70! 5001 1!.01 3!.5" 15."1 11.2 1143.00 1!100.00 1!.257 51232 210.01 3.41 1.01 11.02 12137.00 1!500.00 1!.00 5157" 232.04 34.75 20.!5 ".45 15300.00 2000.00 1.25" 51!4 27!.12 32.2! 20.25 11.!0 134".00 24"4!.00 17.5010 52000 1"2.00 32.20 1".30 12.0 11475.00 15!00.00 1!.!011 52070 21!.00 3!".!1 21.47 12.!0 1"125.00 2!001.00 1!.0012 521!4 20!.4! 30.51 17.00 12.10 11033.00 14""".00 1!.0013 524"2 200.03 2.!0 17.!0 12.44 1272.00 17500.00 1!.0014 52710 21!.01 35.41 22.!1 11.77 1507".00 20500.00 1!.2515 5343" 1"4.32 2".01 1.01 13.27 12137.00 1!500.00 1!.501! 535! 231.12 2!.00 1!.!" 12.7" 11107.00 15100.00 1!.0017 5372! 22.4 32.21 1.3 13.00 21217.00 245.00 1".001 533! 251.27 2.50 1.01 12.57 127"".00 17400.00 1!.001" 53"73 21!.00 3!.!1 21.47 12.50 1"125.00 2!001.00 1!.0020 5415 205.00 32.20 17.00 12.35 14123.00 1"200.00 1!.0021 5415 205.50 32.20 17.00 12.35 127"".00 17400.00 1!.0022 5415 21!.1" 34.2 22.3! 13.55 220!!.00 2"""".00 1.0023 54!00 200.44 32.24 17.33 12.!5 11!51.00 1540.00 1!.7524 54!15 205.3 32.25 1!."! 12.40 127"".00 17400.00 1!.2525 5572 222.00 35.1 22.2 12.00 1750!.00 2300.00 1!.502! 5!05 201.00 32.24 1!.2! 12.42 135"3.00 140.00 1!.0027 5!1 215.50 34.21 21.!2 13.03 1724".00 23450.00 17.002 5!74! 1".00 32.25 1!.74 12.!" 127"".00 17400.00 1!.002" 5!00 1"0.00 32.20 1".50 13.52 10"20.00 144!.00 1!.3530 5!75 212.13 3!.00 1".02 12.42 117!0.00 15".00 1!.031 57372 202.50 32.25 1!.41 12.47 127"".00 17400.00 1!.0032 5557 213.01 32.20 17."1 12.47 "!3!.00 13100.00 1!.5033 5570 204.!3 30.01 1.42 13.70 105"2.00 14400.00 1!.0034 5"250 201.20 32.20 17.50 13.14 152!!.00 20754.00 17.0035 5"4"4 225.53 32.1! 1!.31 12.21 1257.00 17100.00 1!.503! 5""43 27".00 32.22 21.4" 11.! 205"!.00 2000.00 1".10
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Table 2
DATA OF SHIPS OF AROUND 55000 TONNES DWT AT VARYING SPEEDS (18 +! 2 KNOTS"
S.No DWT LBP Breadth Depth Draft Power(kw) Power(bhp) Speed
1 5415 205.50 32.20 17.00 12.35 127"".00 17400.00 1!.00
2 5415 21!.1" 34.2 22.3! 13.55 220!!.00 2"""".00 1.003 54!00 200.44 32.24 17.33 12.!5 11!51.00 1540.00 1!.754 54!15 205.3 32.25 1!."! 12.40 127"".00 17400.00 1!.255 5572 222.00 35.1 22.2 12.00 1750!.00 2300.00 1!.50! 5!05 201.00 32.24 1!.2! 12.42 135"3.00 140.00 1!.007 5!1 215.50 34.21 21.!2 13.03 1724".00 23450.00 17.00 5!74! 1".00 32.25 1!.74 12.!" 127"".00 17400.00 1!.00" 5!00 1"0.00 32.20 1".50 13.52 10"20.00 144!.00 1!.35
10 5!75 212.13 3!.00 1".02 12.42 117!0.00 15".00 1!.0
Table #
DATA OF SHIPS OF SPEED AROUND 18 KNOTS AT VARYING DWT (55000+!5000 TONNES"
S.No DWT LBP Breadth Depth Draft Power(kw) Power(bhp) Speed
1 5!75 212.13 3!.00 1".02 12.42 117!0.00 15".00 1!.02 5!1 215.50 34.21 21.!2 13.03 1724".00 23450.00 17.003 5"250 201.20 32.20 17.50 13.14 152!!.00 20754.00 17.004 50!55 17.00 32.20 1!.0 12.23 10474.00 1423".00 17.375 51!4 27!.12 32.2! 20.25 11.!0 134".00 24"4!.00 17.50! 5415 21!.1" 34.2 22.3! 13.55 220!!.00 2"""".00 1.007 5157" 232.04 34.75 20.!5 ".45 15300.00 2000.00 1.25 5372! 22.4 32.21 1.3 13.00 21217.00 245.00 1".00" 5""43 27".00 32.22 21.4" 11.! 205"!.00 2000.00 1".1010 50027 247.3 32.2! 24.13 13.15 2!!24.00 343!.00 1".50
66
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Table $
Table %&' )*)D a, D %&' -.e /./ Table 2 a, Table #
S.No DWT LBP Breadth Depth Draft Power(kw) Power(bhp) Speed L#B B#D L#D1 50027 247.3 32.2! 24.13 13.15 2!!24.00 343!.00 1".50 7.!7 1.34 10.252 50!55 17.00 32.20 1!.0 12.23 10474.00 1423".00 17.37 5.1 1."2 11.133 5157" 232.04 34.75 20.!5 ".45 15300.00 2000.00 1.25 !.! 1.! 11.24
4 51!4 27!.12 32.2! 20.25 11.!0 134".00 24"4!.00 17.50 .5! 1.5" 13.!45 5372! 22.4 32.21 1.3 13.00 21217.00 245.00 1".00 7.10 1.71 12.15! 5415 205.50 32.20 17.00 12.35 127"".00 17400.00 1!.00 !.3 1." 12.0"7 5415 21!.1" 34.2 22.3! 13.55 220!!.00 2"""".00 1.00 !.21 1.5! ".!7 5415 21!.1" 34.2 22.3! 13.55 220!!.00 2"""".00 1.00 !.21 1.5! ".!7" 54!00 200.44 32.24 17.33 12.!5 11!51.00 1540.00 1!.75 !.22 1.! 11.5710 54!15 205.3 32.25 1!."! 12.40 127"".00 17400.00 1!.25 !.37 1."0 12.1111 5572 222.00 35.1 22.2 12.00 1750!.00 2300.00 1!.50 !.20 1.57 ".7312 5!05 201.00 32.24 1!.2! 12.42 135"3.00 140.00 1!.00 !.23 1." 12.3!13 5!1 215.50 34.21 21.!2 13.03 1724".00 23450.00 17.00 !.30 1.5 "."714 5!1 215.50 34.21 21.!2 13.03 1724".00 23450.00 17.00 !.30 1.5 "."715 5!74! 1".00 32.25 1!.74 12.!" 127"".00 17400.00 1!.00 !.14 1."3 11.3
1! 5!00 1"0.00 32.20 1".50 13.52 10"20.00 144!.00 1!.35 5."0 1.!5 ".7417 5!75 212.13 3!.00 1".02 12.42 117!0.00 15".00 1!.0 5." 1." 11.151 5!75 212.13 3!.00 1".02 12.42 117!0.00 15".00 1!.0 5." 1." 11.151" 5"250 201.20 32.20 17.50 13.14 152!!.00 20754.00 17.00 !.25 1.4 11.5020 5""43 27".00 32.22 21.4" 11.! 205"!.00 2000.00 1".10 .!! 1.50 12."
Dea! 1e$gt D$"%la&e'e#tratios as given is te%t books have a wide range, for oil
tankers" $his value vary from '"/' to '"/&" So to get the nearest value ( have calculated
the Displacement by arriving to an average block coefficient of fineness and by arriving
to a light ship weight form emperical formulas available"
Avg" C* 0 Average value of block coefficients which are very close to one
another calculated from the empirical relations" $hese empirical relations are
4)" A8t 0$rail speed in knots0 Service speed1'"5) knots
6)" AG9
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2n02roude number0Lg
V
80 8ength between perpendiculars in meters" >0 speed of ship m.s"
g0 acceleration due to gravity" 0 ?"/4 m.s6
-)" SC!
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$otal Displacement is made up of 8ightship weight and Deadweight" So, 8ightship
weight is calculated from the empirical formulae to arrive at the displacements from the
deadweight of the ships and then deadweight coefficients are calculated as below"
8ight ship weight0Es 1 Eo 1 Eep
8 0 8ength between erpendiculars in meters
* 0 Foulded *readth in meters
D 0 Foulded Depth in meters
C*0 *lock coefficient of fineness
Ehere Es0 Eeight of Steel in tonnes , for double hull ship &'R more
steel weight is taken to that of single hull ships"
ES$0 ( )
++
66-"-5
-
4
5&"644"54'
&"4
/"'DBL
D
BL
Cb
E+0 +utfit Eeight in tonnes 0 '"-65 1 '"'''& 8) 8 *E
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a) Deadweight # Displacement ratios are calculated from average *lock Coefficient of 2ineness for the ships under consideration
Table 5
VAUES OF D1 FOR SHIPS OF 50000TONNES TO 60000TONNES DWT WITH VARYING SPEEDS(TA)E $"* ONSIDERING )OK OEFFIIENT OF FINENESS TO GET DISPAE3EN
S.N$ LBP
(%)B&'DT
(*)D'PT
(%)D&+T
(%)DWT
(to,,e-)P$W'&
(W)P$W'&(BP)
SP''D(k,ot-)
/B1 /B2 /B3 /B4 /B5 /ba 1 /
1 247.3 32.2! 24.13 13.15 50027 2!!24 343! 1".50 0.73 0.72 0.71 0.7! 0.7! 0.74 7"257.1! 02 17.00 32.20 1!.0 12.23 50!55 10474 1423" 17.37 0.72 0.71 0.70 0.!" 0.7! 0.72 53"53.11 03 232.04 34.75 20.!5 ".45 5157" 15300 2000 1.25 0.74 0.73 0.74 0.7! 0.77 0.75 53"3.54 04 27!.12 32.2! 20.25 11.!0 51!4 134" 24"4! 17.50 0.7 0.77 0.4 0."2 0.0 0.2 70"".1! 05 22.4 32.21 1.3 13.00 5372! 21217 245 1".00 0.73 0.71 0.70 0.73 0.7! 0.73 71454.4 0! 205.50 32.20 17.00 12.35 5415 127"" 17400 1!.00 0.7! 0.75 0.7" 0.0 0.7" 0.7 !532!.30 07 21!.1" 34.2 22.3! 13.55 5415 220!! 2"""" 1.00 0.74 0.72 0.72 0.73 0.77 0.73 7!1".7" 0 21!.1" 34.2 22.3! 13.55 5415 220!! 2"""" 1.00 0.74 0.72 0.72 0.73 0.77 0.73 7!1".7" 0" 200.44 32.24 17.33 12.!5 54!00 11!51 1540 1!.75 0.75 0.73 0.75 0.75 0.7 0.75 !2"07.3! 0
10 205.3 32.25 1!."! 12.40 54!15 127"" 17400 1!.25 0.7! 0.75 0.7 0.7" 0.7 0.77 !4""4.0 11 222.00 35.1 22.2 12.00 5572 1750! 2300 1!.50 0.77 0.75 0.0 0.0 0.7" 0.7 7!51!.17 12 201.00 32.24 1!.2! 12.42 5!05 135"3 140 1!.00 0.7! 0.75 0.7 0.7" 0.7" 0.77 !370.3! 13 215.50 34.21 21.!2 13.03 5!1 1724" 23450 17.00 0.75 0.74 0.7! 0.77 0.7 0.7! 74"!.10 14 215.50 34.21 21.!2 13.03 5!1 1724" 23450 17.00 0.75 0.74 0.7! 0.77 0.7 0.7! 74"!.10 15 1".00 32.25 1!.74 12.!" 5!74! 127"" 17400 1!.00 0.7! 0.75 0.7 0.7 0.7 0.77 !3"11.!1 1! 1"0.00 32.20 1".50 13.52 5!00 10"20 144! 1!.35 0.75 0.73 0.74 0.74 0.77 0.75 !33!.43 17 212.13 3!.00 1".02 12.42 5!75 117!0 15" 1!.0 0.75 0.74 0.77 0.7! 0.7 0.7! 73"".10 1 212.13 3!.00 1".02 12.42 5!75 117!0 15" 1!.0 0.75 0.74 0.77 0.7! 0.7 0.7! 73"".10 1" 201.20 32.20 17.50 13.14 5"250 152!! 20754 17.00 0.74 0.73 0.74 0.74 0.77 0.74 !4""1.1 20 27".00 32.22 21.4" 11.! 5""43 205"! 2000 1".10 0.7! 0.74 0.77 0.5 0.7 0.7 411.0
b) Deadweight = Displacement ratios are calculated from light ship weight using emerical formulas:
6&
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Table 6
VAUES OF D2 FOR SHIPS OF $5000TONNES TO 55000TONNES DWT WITH VARYING SPEED(TA)E $"
OSIDERING IGHT SHIP WEIGHT USING E3PERIA FOR3UAE TO GET THE TOTA DISPAE3ENT
N$ LBP
(%)B&'DT
(*)D'PT
(%)D&+T
(%)DWT
(to,,e-)P$W'&
(W)P$W'&(BP)
SP''D(k,ot-)
Weht of-tee
(to,,e-)
$tftweht
(to,,e-)
Weht ofe,,epa,t
(to,,e-)
L6TS6P
W'6T(T)2
1 247.3 32.2! 24.13 13.15 50027.00 2!!24.00 343!.00 1".50 1!1!5."0 377.1 37!."0 23712." 7373"." 2 17.00 32.20 1!.0 12.23 50!55.00 10474.00 1423".00 17.37 054.25 2!32.5! 1!04.02 122"0.3 !2"45.3 3 232.04 34.75 20.!5 ".45 5157".00 15300.00 2000.00 1.25 1522".73 3743.22 2250."4 21223. 7202. 4 27!.12 32.2! 20.25 11.!0 51!4.00 134".00 24"4!.00 17.50 23!31.4 4370.73 2!5".!5 30!!2.22 2310.22 5 22.4 32.21 1.3 13.00 5372!.00 21217.00 245.00 1".00 13700.53 3407.!1 3044.10 20152.24 737.24 ! 205.50 32.20 17.00 12.35 5415.00 127"".00 17400.00 1!.00 10735.!0 2"!!.45 1"15.! 15!17.73 !"775.73 7 21!.1" 34.2 22.3! 13.55 5415.00 220!!.00 2"""".00 1.00 12357.55 3422."7 3157."1 1"3.43 730"!.43 21!.1" 34.2 22.3! 13.55 5415.00 220!!.00 2"""".00 1.00 12357.55 3422."7 3157."1 1"3.43 730"!.43 " 200.44 32.24 17.33 12.!5 54!00.00 11!51.00 1540.00 1!.75 "40.43 277.3 17!1.0 1447".!1 !"07".!1 0 205.3 32.25 1!."! 12.40 54!15.00 127"".00 17400.00 1!.25 1070"."7 2"!.4 1"15.! 155"4.4" 7020".4" 1 222.00 35.1 22.2 12.00 5572.00 1750!.00 2300.00 1!.50 13"34.!! 3!42.!1 254!.!5 20123."2 7551."2 2 201.00 32.24 1!.2! 12.42 5!05.00 135"3.00 140.00 1!.00 1023.!0 27.5" 2022.12 1514.31 71233.31 3 215.50 34.21 21.!2 13.03 5!1.00 1724".00 23450.00 17.00 1221!.24 334".22 2512.20 1077.!! 742!5.!! 4 215.50 34.21 21.!2 13.03 5!1.00 1724".00 23450.00 17.00 1221!.24 334".22 2512.20 1077.!! 742!5.!! 5 1".00 32.25 1!.74 12.!" 5!74!.00 127"".00 17400.00 1!.00 "700."5 233. 1"15.! 14450.52 711"!.52 ! 1"0.00 32.20 1".50 13.52 5!00.00 10"20.00 144!.00 1!.35 233."5 2!5.0 1!!3.1 1253.5! !"33.5! 7 212.13 3!.00 1".02 12.42 5!75.00 117!0.00 15".00 1!.0 12734.7 3453."0 177!.41 17"!5.1 7440.1 212.13 3!.00 1".02 12.42 5!75.00 117!0.00 15".00 1!.0 12734.7 3453."0 177!.41 17"!5.1 7440.1 " 201.20 32.20 17.50 13.14 5"250.00 152!!.00 20754.00 17.00 "74.01 27.!! 224!.3 1500.05 7425.05 0 27".00 32.22 21.4" 11.! 5""43.00 205"!.00 2000.00 1".10 2343!.01 442!.37 2"!0.! 3023.23 "07!!.23
6
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/D1 /D2 /D a0.!3 0.! 0.!50."4 0.0 0.70. 0.71 0.00.5" 0.!3 0.!10.75 0.73 0.74
0.3 0.7 0.00.71 0.74 0.720.71 0.74 0.720.7 0.7" 0.30.4 0.7 0.10.73 0.73 0.730. 0.7" 0.30.75 0.7! 0.750.75 0.7! 0.750." 0.0 0.40."0 0.2 0.!0.77 0.7! 0.7!
0.77 0.7! 0.7!0."1 0.0 0.50.71 0.!! 0.!"
)$#al$e! C!: @.7
Dead weight coefficient0 Dead weight.Displacement"
D$"%la&e'e#t Dea! [email protected] 99@@@[email protected] 754>.65 to##e".
olu'e o* D$"%la&e'e#t ,
754>.65F0.@59 7@@4.46 '4.
Ehere 0Density of sea water 0 4"'65 tonnes . m-
CALCULATION O) LENGTH BET=EEN PERPENDICULARS4
4) 2rom the graph drawn between Speed >s 8* of $able#6
At Speed 0 4/ knots, $he >alue of 8*064/"6 meters"
6/
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6) 2rom the graph drawn between Deadweight >s 8* of $able#-,
Deadweight 0 55''' tonnes, $he >alue of 8*06-4"6 meters"
8"*"" calculation from emperical formulas:
-) AG90 Service speed in knots 0 4/ knots
8"*"" 0 8ength between perpendiculars in meters
0>olume of displacement in m-0'&'-"-- m-
0PBL
PBL
""
4/&,"4--"-
,'&'-
""-
+=
*y iteration, 8"*"" 0 664"4 meters"
@) >+8Jolume of displacement in m-0'&'-"-- m-
g0Acceleration due to gravity0?"/4 m.s6
>0Service Speed 04/Q" 54@@0 ?"6&m.sec"
-
4-
--"'&'-,/4"?
6&"?5"@5"-,'&'-"--
""
+=PBL
8"*" 0 6-'"4? meters"
5) SC!
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80'"- >'"- -"6 Ehere 8 0 8ength between perpendiculars in meters
0 Displacement 0 '&'-"--Q4"'65 0 6-&/ tonnes
> 0 Service speed 0 4/ knots6"-4/,6-&/ -"'-"' =L
8"*"064/"5 meters"
SUMMAR(:
4" 29+F S+8J
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4) ood sea keeping behavior:
a) Small amplitudes of roll"
b) Small roll acceleration"
6) Special loading conditions, e"g":
Damaged ship, etc"
-) *readth may be restricted by *uilding dock width or channel clearance"
@) (ncreasing the *readth by keeping the midship section area constant results in:
a)" (ncreased resistance and !igher power re7uirements since 9$0f *.$)"
b)" reater (nitial stability"
)ROM GRAPH:
4" 2rom 8"*"" >s 8.*) ratio graph,
At 8066'm 8.* 0&"66)
*9
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4) *0?
L1 @"5 to &"5)
*0?
L1 @"5)06/"?@ m
*0 m?@"-'5"&?
66'=+
6) *0 8nn0'"&& to '"&/)
a) *0 66')'"&&0-5"4& m
b) *0 66')'"&/0-?"4& m"
-) *AEJEA9S($
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4)" 2rom * >s *.Dratio graph, At *0-6m,D
B04"&@
Depth,D04/"44m"
6) 2rom 8* >s 8.Dratio graph, At 80 66'm,D
L044"6@
Depth, D04?"5m"
29+F .5 '.
COE))ICIENTS O) )ORM
--
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0. Blo&k Coe**$&$e#t o* )$#e#e"" ,CB:
*lock coefficient of fineness is the ratio of the >olume of Displacement of themolded form up to any water line to the volume of a circumscribing solid with 8ength,
breadth, and depth e7ual to the length, breadth at the draft of that waterline"
CB TBL QQ
Ehere 8 is length, * is breadth and $ is molded draft"
9educing the *lock coefficient results in
a) Decrease in regulatory freeboard, re7uired propulsive power, weight of the engine
plant and fuel consumption"
b) A slight increase in !ull steel weight and
c) *etter sea keeping and less added resistance in a seaway and slamming"
(f the value of *lock coefficient is decreased *readth must be increased to
maintain stability" Ship owner re7uirements can be met using a wide variety of C*values"
$he optimum choice is made on the above"
C*from
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808ength between perpendiculars 066' m
C*404"'& # 4"&/'"4??) 0 '"-
ii)" SC!
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CFfrom A8AFA 2+9F8A:
CF-0 '"? 1 '"4 C*) 0'"?
Average CF 0 ?/"'-
)?,"'??"'??"': =++
)$#al$e! CM @.?>
,4. Lo#g$tu!$#al Pr$"'at$& Coe**$&$e#t" ,CPL:
i)" 8ongitudinal prismatic Coefficient, CPL0?/"'
,@"'=M
B
C
,6. =ater %la#e area Coe**$&$e#t ,C=:
$he water plane area coefficient influences the resistance and stability considerably"
(t is geometrically related to shape of cross sections" (t is the ratio of the Eater plane area
to the circumscribing rectangle, the length of which is e7ual to the length of the 8E8 and
width of which is e7ual to the breadth at that waterline" $he value of C E is largely a
function of C*and sectional shape" Ships with highB
Lratio may have either or >
sections" Ships with lowB
Lratio have e%treme > forms"
CEfrom
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ii)" 2or Average section
/-"'-
),@"'64:
-
)64:6 =
+=
+= BW
CC
iii)" 2or >#section forms,
a) /@"')554"'@,4"':=
+=
B
BW
C
CC
b) /@"''65"' == Bw CC
c)/-"'
-
?/"'
,@"'64
-
64
=
+
=
+
= MB
W
C
C
C
Cw-0 '"/@
2rom the above results,
)$#al$e! C=@.>4
,9. ert$&al Pr$"'at$& Coe**$&$e#t" ,CP+:
>ertical rismatic Coefficient C>0/-"'
,@"'=W
B
C
C0 '"/?
-
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OTHER CHARACTERESTICS O) THE SHIP:
,0 SHEER:
S$A$(+ +9D(A$alue of OA; : 44@4? mm
>alue of OJ; : @54 mm
$herefore, length of the engine is, A1J044@4?1@540 44/' mm
8ength of engine casing 0 44/'16''' 0 4-/' mm
!ence, length of superstructure 0 length of engine room 1 6Qwidth of alleyway)
1 6Qlength of a cabin in longitudinal direction) 1 any additional space due to engine
alignment from aft peak bulkhead"
Eidth of alleyway 0 4''' mm"
8ength of a cabin in longitudinal direction 0 @''' mm"
8ength of superstructure, 8s0 4-/' 1 6Q4''') 1 6 Q @''') 0 6-/' mm V 6@''' mm
-?
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9 BREADTH O) SUPERSTRUCTURE:
*readth of superstructure 0 *readth of engine casing 1 6Q width of alleyway)
16Q length of a cabin in transverse direction)"
*readth of engine 0 *
Ehere, < is the half breadth of the engine near turbo charger ma%imum)
*readth of engine casing 0 @'' 16'''0&'' mm"
Eidth of alleyway 0 4''' mm"
8ength of a cabin in transverse direction 0 @''' mm"
*readth of superstructure 0 &'' 1 6Q4''') 1 6 Q @''') 0 4&''mm
*readth of superstructure 0 4& meters appro%)
. T(PE O) BO= : *8*+S *+E
7. T(PE O) STERN : C9S(
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)REEBOARD CALCULATIONS
PRELIMINAR( )REEBOARD CALCULATION USING L.B.P AS LOAD
LINE LENGTH AS PER LOAD LINE REGULATIONS
2reeboard may be broadly defined as the height that the sides of a
floating vessel proect above the water" $he ma%imum waterline to which a ship can be
loaded is governed by the limsoll marks, which are permanently marked on the vessels
sides at amidships" $he freeboard deck means the uppermost complete deck having
permanent means of closing all opening in freeboard deck"
2reeboard rules are designed to ensure that the vessel when loaded to
her marks has sufficient reserve buoyancy in the portion of the hull above the waterline to
ensure a satisfactory margin of safety"
)ree8oar! Cal&ulat$o# Pro&e!ure:
4" 8"*" is taken as 29
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$he $abular 2reeboard 2+) from 2reeboard $able for 66' m length is )O 57?5''.
C+99
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ercentage of deduction for $ype OA; ships
$otal effective length of Superstructure
ercentage of
deduction for
all types of
Superstructures
' '"48 '"68 '"-8 '"@8 '"58 '"&8 '"8 '"/8 '"?8 4"'8
' 4@ 64 -4 @4 56 &- 5"- /" 4''
Correction for R deduction at '"4-58
0( )
( )( ) ,5"/4"'465"'
4"'6"'
,4@, =
+
Deduction for 4''R effective super structure 0( )
mm&-"?-4''
,5"/4',' =
C+99
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DEAD =EIGHT CHECK ,
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owerJE) 0
66',4Q/4"445'''
Y,@"'Q46@@"4&4
66'@')Z4/Q'/",,@/4):,-5"': --
6
+0 466&"&6
JE
ower 0 466&"&6 JE
-) S(8>
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2or double hull oil tanker ships steel weight is increased, so &'R is added to steel weight
of single hull ship"
Esteel weight04''/-"?? 1 '"& 4''/-"??) 04&4-@"-/ tonnes"
8 =OOD AND OUT)IT =EIGHT:
E outfit 0 '"-651'"'''& 8) * 8) 0 '"-651'"'''& 66') -6 66') -64"6/ $onnes
& MACHINER( =EIGHT:
E
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)INAL )REEBOARD CALCULATION AS PER LOAD LINE REGULATION
2reeboard may be broadly defined as the height that the sides of a floating
vessel proect above the water" $he ma%imum waterline, to which a ship can be loaded, is
governed by the plimsoll marks, which are permanently marked on the vessels sides at
amidships" $he freeboard deck means the uppermost complete deck having permanent
means of closing all opening in weather deck"
2reeboard rules are designed to ensure that the vessel when loaded to her marks
has sufficient reserve buoyancy in the portion of the hull and the erection above the
waterline to ensure a satisfactory margin of safety"
)ree8oar! Cal&ulat$o# Pro&e!ure:
Sectional areas lifted at /5R of the least molded depth from bonean curves
/5R of molded depth 04/"6' '"/5045"@ m
@
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Se&t$o#al area" l$*te! at >9 o* te lea"t 'ol!e! !e%t *ro' 8o#;ea# &ur+e"
Station
Sectional
Areas inm6
Simpson;sFultipliers
roduct
for>olume 8ever
roduct
forFoment
' 45"& '"65 -"?@ 5 4?"
'"65 5'"4 4 5'"4 @"5 6-/"-'/
'"5 ?&"56 '"5 @/"6& @"5 64"4
'"5 4@-"@' 4 4@-"@ @"65 &'?"@5
4 4/"/4 '"5 4@'"/5/ @ 5&-"@-
4"5 65"&? 6 554"-/ -"5 4?6?"/-
6 -5@"4' 4 -5@"4 - 4'&6"-
6"5 @45"5 6 /-4"4@ 6"5 6'"/5
- @5"'@ 4 @5"'@ 6 ?4@"'/
-"5 @/'"'@ 6 ?&'"'/ 4"5 4@@'"46
@ @//"'@ 4"5 -6"'& 4 -6"'&
5 @?4"'@ @ 4?&@"4&Su'M0 ?>@6.4
& @?'"'@ 4"5 -5"'& 4 -5"'&
&"5 @&"'@ 6 ?56"'/ 4"5 4@6/"46
@/@"'@ 4 @/@"'@ 6 ?&/"'/
"5 @4"'@ 6 ?@6"'/ 6"5 6-55"6
/ @-6"5 4 @-6"5 - 46?"4
/"5 -&5"4& 6 -'"-6 -"5 655&"46
? 6&4"/ '"5 4?&"@'- @ /5"&4
?"65 6'4"?? 4 6'4"?? @"65 /5/"@5/
?"5 4-"&@ '"5 &/"/6 @"5 -'?"&?
?"5 ?"/6 4 ?"/6 @"5 -?"4@5
4' -'"'' '"65 "5 5 -"5
Su'
Su'
>olume of displacement ): 0 Vh-
0 -"44'&,-
66 0 /44&'"6 m-
>olume of displacement ): from !ydrostatics0 /44'"& m-
osition of 8C*0-"44'&,
)-"?/'@,"44,4':
4'
66'Y):
Z 64 =
VMM
h
@/
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0-"? m forward of midship
8C* 0 -"? m forward of midship
>alue of 8"C"*" from !ydrostatics is -"? m
4" 29
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Cb0TBL
0
@,"45-6'/"66'
/44&'"6'
0 '"@
$A*8A9 29
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Speed : 4 rpm
>alue of OA; : 44@4? mm
>alue of OJ; : @54 mm
$herefore, length of the engine is, A1J044@4?1@540 44/' mm
8ength of engine casing 0 44/'16''' 0 4-/' mm
!ence, length of superstructure 0 length of engine room 1 6Qwidth of alleyway)
1 6Qlength of a cabin in longitudinal direction) 1 any additional space due to engine
alignment from aft peak bulkhead"
Eidth of alleyway 0 4''' mm"
8ength of a cabin in longitudinal direction 0 @''' mm"
8ength of superstructure, 8s0 4-/' 1 6Q4''') 1 6 Q @''') 0 6-/' mm V 6@''' mm
BREADTH O) SUPERSTRUCTURE:
*readth of superstructure 0 *readth of engine casing 1 6Q width of alleyway)
16Q length of a cabin in transverse direction)"
*readth of engine 0 *
Ehere, < is the half breadth of the engine near turbo charger ma%imum)
*readth of engine casing 0 @'' 16'''0&'' mm"
Eidth of alleyway 0 4''' mm"
8ength of a cabin in transverse direction 0 @''' mm"
*readth of superstructure 0 &'' 1 6Q4''') 1 6 Q @''') 0 4&''mm
*readth of superstructure 0 4& meters appro%)
LENGTH O) SUPER STRUCTURE :
Superstructure length 8S06@ m"
2ull breadth of superstructure0-6 m
*readth of superstructure from side to side bulkhead Ob;04& m"
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R engtheffective of length 0 R'5@5"'66'
46
"""==
PBL
engtheffective
8ength of forecastle deck 0 '"'R8 from forward perpendicular
$otal effective length of super structure 0 '"'5@51'"') 0 '"465R of 8
ercentage of deduction for $ype OA; ships
$otal effective length of Superstructure
ercentage of
deduction for
all types of
Superstructures
' '"48 '"68 '"-8 '"@8 '"58 '"&8 '"8 '"/8 '"?8 4"'8
' 4@ 64 -4 @4 56 &- 5"- /" 4''
Correction for R deduction at '"4-58
0
( )
( )( ) ,5"/4"'465"'4"'6"'
,4@
, =
+
Deduction for 4''R effective super structure 0( )
mm&-"?-4''
,5"/4',' =
C+99
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MOULDEDDRA)T 06.90 '
8ength measured on summer load waterline 4@"54 m) from centerline of rudderstock to
fore end of ship from lines plan 0 66' m
SECTIONAL AREAS LI)TED AT MOULDED DRA)T ,06.90 M
Station
Sectional
Areas inm6
Simpson;sFultipliers
roduct
for>olume 8ever
roduct
forFoment
' .57 '"65 6"4@ 5 4'"4
'"65 3".!1 4 -?"&4 @"5 4//"45
'"5 1.!5 '"5 @'"/- @"5 4/-"4
'"5 125.1 4 465"4/ @"65 5-6"'64 1!!.71 '"5 465"'- @ 5''"4-
4"5 250.2! 6 5''"56 -"5 454"/6
6 325.7" 4 -65"? - ?"-
6"5 35.1 6 4"&6 6"5 4?6?"'5
- 42!.32 4 @6&"-6 6 /56"&@
-"5 44".32 6 /?/"&@ 4"5 4-@"?&
@ 457.32 4"5 &/5"?/ 4 &/5"?/
5 4!0.32 @ 4/@4"6/SumF6 >?9?.96
& 45".32 4"5 &//"?/ 4 &//"?/&"5 453.32 6 ?'&"&@ 4"5 4-5?"?&
445.32 4 @@5"-6 6 /?'"&@
"5 440.32 6 //'"&@ 6"5 66'4"&'
/ 402.1 4 @'6"/4 - 46'/"@-
/"5 33.2 6 &&"5& -"5 6-&"?&
? 241.71 '"5 4/4"6/ @ 65"4-
?"65 1!.1! 4 4/&"4& @"65 ?4"4/
?"5 12!.!1 '"5 &-"-4 @"5 6/@"/
?"5 74.0! 4 @"'& @"5 -54"?
4' 30 '"65 "5' 5 -"5' Sum >
0@5?.5@
Sum
F4 0@?@>.@6
>olume of displacement ): 0 Vh-
0 6'"4'6?&-
66 0 55'5"@ m-
A&tual +olu'e o* D$"%la&e'e#t ,*ro' 8o#;ea#" ): 0 [email protected]'4
5-
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A&tual D$"%la&e'e#t , [email protected] 0.@59 774?4.00 to##e" olu'e o* !$"%la&e'e#t *ro'
66'Y):
Z 64V
MMh @"4&m forward of
midship
>alue of 8"C"*" from !ydrostatic curves is @"4& m
,@"'54"4@-666'
@,",55'5 =
=
=TBL
CB
8C* 0 @"4& m forward of midship
??"'54"4@-6
-6"@&' =
=
=TB
!C mM
,5"'
??"'
,@"'===
M
BPL
C
CC
5@
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CALCULATION O) =ATERPLANE
AREA AT DESIGNED LOAD =ATERLINE,06.90 M
S$A$(+
!A82*9
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//"'/@"'
,@"'===
w
Bpv
C
CC
F(DS!( S
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CHAPTER-9
HULL )ORM DESIGN AND LINES PLAN
Ehile designing a merchant vessel, the main parameters such as dimensions#
length, breadth, draughtK coefficients of form such as block coefficient and the
longitudinal position of centre of buoyancy are to be fi%ed" $he geometry of the ship has
influence on the following characteristics:
4" 9esistance increase in seaway
6" Fanoeuvrability
-" Course# keeping capability
@" 9oll damping
5" Sea#keeping ability
&" Size of under deck volume
8ength *etween erpendiculars is divided into 4' e7ual parts with ordinate stations
A" '), 4.@,4.6,-.@,4,44.6,6,64.6,-,-
4.6,@,5,&,&4.6,,
4.6,/,/4.6,?,?
4.@,?4.6,?
-.@,4'2")" Fore
stations are taken at the ends to define the curvature of a ship more accurately" $he
sectional area up to moulded draft can be drawn by taking the sectional areas on G#a%is
and ordinate stations on P#a%is" $he ordinates for sectional area curve are given as the
ratio of sectional area to midship section area against the values of block coefficient from
'"56 to '"//" Sectional areas are calculated at various stations from ordinates lifted from
fig"5@ of *"S"9"A" results at the C*of the ship under design"
5
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SETIONA AREAS IFTED FRO3 )SRA HART
S-a-&/
7 O',a-e
YSe-&alA'eaA9
A9Se-&al
A'eaS3
P'&,:-F&'
V&l:9ee;e'
3&9e-P'&,:-
0 0.35 1."1 0 0.0132 @55"'- .34 0.25 2.0 5 10.42
1#4 1.5 1."1 0 0.0753 @55"'- 35.74 1.00 35.74 4.75 1!".74
1#2 1.3" 1." 0.1 0.1731! @55"'- 7.7" 0.50 3".40 4.5 177.2
3#4 1.3 1." 0.2 0.2!42 @55"'- 122.14 1.00 122.14 4.25 51".0"
1 1.15 1." 0.3 0.3!053 @55"'- 1!4.05 0.75 123.04 4 4"2.15
1 1#2 0. 1." 0.5 0.54211 @55"'- 24!.!7 2.00 4"3.35 3.5 172!.72
2 0.1 1." 0.7 0.7052! @55"'- 320."2 1.00 320."2 3 "!2.75
2 1#2 0.7 1."7 0. 0.3553 @55"'- 30.1" 2.00 7!0.3" 2.5 1"00."!
3 0.52 1."1 0." 0."2723 @55"'- 421."2 1.00 421."2 2 43.3
3 1#2 1.41 1."1 0." 0."732 @55"'- 443.12 2.00 !.24 1.5 132".35
4 1."1 1."1 0." 1.00000 @55"'- 455.03 1.50 !2.55 1 !2.55
8914.5
5 1."1 1."1 0." 1.00000 @55"'- 455.03 4.00 120.12 0 0.00
! 1."1 1."1 0." 1.00000 @55"'- 455.03 1.50 !2.55 1 !2.55
! 1#2 1. 1."1 0." 0.""424 @55"'- 452.41 2.00 "04.2 1.5 1357.23
7 1.7 1."1 0." 0.""01 @55"'- 450.03 1.00 450.03 2 "00.05
7 1#2 1.1 1."1 0." 0."575" @55"'- 435.73 2.00 71.47 2.5 217.!!
1.5! 1."7 0. 0.7"1" @55"'- 400.0! 1.00 400.0! 3 1200.17
1#2 0.!5 1." 0.7 0.7343" @55"'- 334.17 2.00 !!.34 3.5 233".1"
" 0.5 1." 0.5 0.52!32 @55"'- 23".4" 0.75 17".!2 4 71.47
" 1#4 1." 1." 0.3 0.40000 @55"'- 12.01 1.00 12.01 4.25 773.55
" 1#2 1.4! 1." 0.2 0.27!4 @55"'- 125."7 0.50 !2."" 4.5 23.44
" 3#4 1.25 1." 0.1 0.1!57" @55"'- 75.44 1.00 75.44 4.75 35.3410 1.25 1."1 0 0.0!545 @55"'- 2".7 0.25 7.44 5 37.22
89101"2.!1 89102.7
5/
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>olume of Displacement ) 0 Vh-
40 66-
44'4?6"&4 0 @@5"/4
m-"
Displacement W) 0
4"'650 @@5"/4
4"'65 0 &&4@"@5 $onnes
Lo#g$tu!$#al Ce#ter o* Buo
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SETIONA AREAS FAIRED
S-a-&/Se-&al
A'eaS3
P'&,:- F&'V&l:9e
e;e' 3&9e- P'&,:-
0 .34 0.25 2.0" 5 10.431#4 3.50 1.00 3.50 4.75 12.1#2 7.7" 0.50 3".40 4.5 177.23#4 122.00 1.00 122.00 4.25 51.501 1!4.05 0.75 123.04 4 4"2.15
1 1#2 24!.!7 2.00 4"3.34 3.5 172!.!"2 320."2 1.00 320."2 3 "!2.7!
2 1#2 30.1" 2.00 7!0.3 2.5 1"00."53 421."2 1.00 421."2 2 43.3
3 1#2 443.12 2.00 !.24 1.5 132".354 455.03 1.50 !2.55 1 !2.55
8927.3!5 455.03 4.00 120.12 0 0.00
! 455.03 1.50 !2.55 1 !2.55! 1#2 453.50 2.00 "07.00 1.5 13!0.50
7 450.03 1.00 450.03 2 "00.057 1#2 435.73 2.00 71.47 2.5 217.!!
3"".!0 1.00 3"".!0 3 11".0 1#2 334.17 2.00 !!.34 3.5 233".1"
" 23".4" 0.75 17".!2 4 71.47
" 1#4 11.50 1.00 11.50 4.25 771.3" 1#2 125."7 0.50 !2."" 4.5 23.44" 3#4 7!.00 1.00 7!.00 4.75 3!1.00
10 2".7 0.25 7.44 5 37.2289101"7.00 891031.2!
&'
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>olume of Displacement ) 0 Vh-
40 66-
44'4?"''0 @/"'
m-"
Displacement W) 0
4"'650 @/"'
4"'65 0 &&@"56 $onnes
Lo#g$tu!$#al Ce#ter o* Buo
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DRA=ING O) LINES PLAN )ROM B.S.R.A CHARTS
8ength between perpendiculars is divided into 4' e7ual divisions to draw a
section at each of these divisions" $he sections are numbered from A"" ') to 2"" 4')"
]uarter and half stations are also taken at the ends to define the hull form more
accurately" 2ollowing the *"S"9"A" results as a guidelines, using the offset table obtained
at C*0 '"/', a preliminary !alf breadth lan is prepared" According to *"S"9"A" results,
the water line heights above base line are proected as Rof moulded draft, which is
obtained from the preliminary freeboard calculations" *y fairing the lines in the half
breadth lan, a preliminary *ody lan is prepared based on *"S"9"A" water lines" A half
transverse section only is drawn since the vessel is symmetrical about the centerline
plane" $he forward half sections are drawn to the right of the centerline with the aft
sections to the left" After fairing the lines in the *ody plan, the water lines are drawn at to
4m spacing" $he outreaches of the stem and stern profiles are drawn in the elevation,
according to the $able#>, using the *"S"9"A" standard values e%pressed as a R of 8"*""
from 2orward erpendicular and After erpendicular" ow, !alf breadth lan is prepared
with 4m spaced water lines from the faired *ody lan" A bilge diagonal is drawn with
Ooffsets; taken along the bilge diagonal to check the fairness of lines"
(f the shape of a body section is altered this will affect the shape of both the water
lines and the buttocks" (t is essential when designing the hull form of the ship that all the
three sets of curves should be Ofair; and coincident with each other and their
&6
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interdependence becomes important in this fairing process" At the end of the fairing
process, lines are faired in all three views and final lines plan is prepared"
&-
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EA$
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O))SET TABLE
)ro' B.S.R.A. re"ult" $.e. al* 8rea!t" o# Sta#!ar! 1aterl$#e" at Or!$#ate""tat$o#" at CB @.76
=L
Or!$#ate
Stat$o#
A ) D E F G H < K
0 : : : : : : 0.34 3.27 4.!5 5.!1= 0.33 0.33 0.33 0.50 1.43 1.52 2."5 5.12 !."2 7."2> 0.3 1.05 1.27 1.!1 2.24 3.37 5.1! 7.37 .4 ".? 1.5! 1." 2.3! 3.12 4.04 5.31 7.13 ".0" 10.50 11.53
1 2.1" 2."" 3.57 4.!3 5.77 7.24 . 10.52 11."1 12.0
1 > 4.21 5.3" !.22 7.75 ".20 10.5! 11.3 12."7 13. 14.572 !.!7 .0" ".20 10.7" 12.04 13.13 14.02 14.!5 15.1! 15.4"2 > ".21 10.74 11. 13.33 14.20 14."0 15.30 15.!3 15.0 15.# 11.!! 13.13 13."" 15.02 15.47 15.72 15. 1!.00 1!.00 1!.00# > 13.!1 14.!5 15.24 15.3 15."5 1!.00 1!.00 1!.00 1!.00 1!.00$ 14.71 15.47 15.1 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.005 15.13 15.75 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.006 15.05 15.73 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.006 > 15.00 15.72 15. 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00@ 14.35 15.24 15.!7 15."5 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00@ > 12."3 14.07 14.77 15.54 15.3 15."5 1!.00 1!.00 1!.00 1!.008 10.!4 12.07 13.07 14.1! 14.1 15.13 15.35 15.47 15.55 15.!7
8 > 7.72 ".37 10.42 11.72 12.5" 13.14 13.53 13.0 14.01 14.27 4." !.32 7.22 .41 ".14 ".!1 10.0! 10.41 10.0 11.33 = 3.73 4." 5.!4 !.5" 7.02 7.3 7.72 .1 .57 ".24 > 2.71 3.5! 4.0 4.54 4.!7 4." 5.20 5.!1 !.03 !.!3 ? 1."3 2.!1 2.!3 2.!7 2.!7 2.70 2.73 2."0 3.32 3."210 1.45 1."2 2.0" 1.7 1.00 0.40 0.52 0.0 0.47 1.0
NOTE: (n the above table A, *, C, D, J are the waterlines and ', 4.@, 4.6, 4' are the stations"
&5
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TABLE-II: O))SET TABLE
)ro' L$#e" Pla# al* 8rea!t" $# ' o# 1aterl$#e" "%a&e! 0 ' a%art at Or!$#ate" "tat$o#" "%a&e! LF0@ ' ,55.9' a%art at CB @.76
Wa-e'le/
1 2 # $ 5 6 @ 8 10 11 12 1# 1$ 15 16 1@ 18 18
0 1.2 2.0 3.55 4.1 4.75 5.22 5.3= 0.31 0.32 0.3! 0.40 0.4 0.57 0.75 0."! 1.20 1.50 2.00 2.75 3.70 4.70 5.1! !.40 7.10 7.!5 7.7> 0. 1.05 1.22 1.41 1.57 1.7! 2.0 2.40 2.2 3.40 4.12 4." 5."0 !." 7.75 .3 ." ".50 ".!? 1.51 1."0 2.22 2.!0 2." 3.34 3.70 4.05 4.52 5.2! !.1 7.05 7."2 .75 ".4 10.05 10.!4 11.15 11.21 2.10 2.3 3.40 3."5 4.42 4.5 5.35 5.5 !.55 7.20 7.5 .!4 ".4 10.30 10."2 11.55 12.0 12.50 12.5
1 > 4.10 5.10 !.00 !.75 7.45 .10 .70 ".30 "."5 10.52 11.10 11.!" 12.22 12.72 13.20 13.!0 14.00 14.30 14.32 !.5" 7.0 .5 ".! 10.40 11.05 11.!5 12.1! 12.!5 13.14 13.5 13." 14.2 14.50 14.7 15.00 15.20 15.34 15.3
2 > ".10 10.50 11.52 12.32 13.00 13.50 13."2 14.30 14.!0 14.! 15.10 15.2 15.44 15.!0 15.! 15.7 15.3 15. 15.# 11.45 13.00 13.2 14.3 14.2 15.17 15.35 15.50 15.!2 15.72 15.2 15." 15."2 1!.00 1!.00 1!.00 1!.00 1!.00 1!.0
# > 13.5 14.50 15.15 15.50 15.75 15." 15."0 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.0$ 14.!" 15.40 15.72 15."0 15."7 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.05 15.2 15.3 15." 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.06 14."3 15.!0 15.3 15."2 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.0
6 > 14."3 15.!0 15.3 15."2 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.0@ 14.20 15.05 15.50 15.71 15.3 15."1 15." 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.0
@ > 12.75 13.77 14.50 15.10 15.42 15.!1 15.74 15.2 15."0 15."1 15."5 15."7 1!.00 1!.00 1!.00 1!.00 1!.00 1!.00 1!.08 10.45 11.70 12.72 13.32 13.0 14.25 14.!0 14.4 15.00 15.10 15.20 15.30 15.35 15.40 15.47 15.52 15.!0 15.!2 15.!
8 > 7.55 ."" 10.20 10."5 11.4 11."0 12.27 12.!0 12."0 13.14 13.32 13.50 13.!5 13.7" 13."0 13."" 14.05 14.15 14. 4.77 !.0 7.00 7.!4 .1 .!0 ."0 ".1! ".40 ".70 ".71 "." 10.0" 10.2" 10.55 10.51 10.5 11.10 11.1
= 3.5! 4.!2 5.40 5."5 !.3 !.!" !." 7.03 7.20 7.25 7.45 7.!0 7.0 .02 .25 .4" .71 ."4 ." > 2.!0 3.40 3. 4.20 4.45 4.57 4.!5 4.70 4.71 4.0 4."1 5.0 5.24 5.44 5.!5 5. !.11 !.3" !.4 ? 1."0 2.2" 2.52 2.!5 2.70 2.70 2.! 2.!7 2.!" 2.! 2.70 2.71 2.0 2."0 3.00 3.20 3.41 3.!5 3.710 1.35 1.2 2.00 2.00 1. 1.!7 1.34 0."" 0.70 0.50 0.31 0.1" 0.0 0.00 0.0! 0.25 0.4" 0.74 0.
&&
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CHAPTER-
BONEAN CURES
+ne of the fundamental hull form characteristics re7uired to prepare the
hydrostatic curves are the imme*se- secti$n( (*e(s (t $*-in(te st(ti$ns" $he cross#
sectional area of each ordinate station shown in the body plan up to the waterline in
7uestion is determined which is input into the calculation of the volume of displacementK
this set of curves is known as the B$n.e(n c)*ves" A typical plot of the *onean curves is
shown in 2igure" Ehen plotted against ship length, the immersed areas at the ordinate
stations form a secti$n( (*e( c)*ve/whose shape represents the IfullnessI or IfinenessI
of the ship form, an important consideration in ship resistance and powering"
$he bonean curves are used:
$o find out the volume of the displacement and 8C* at a trimmed water line at
which the ship is floating due to distribution of cargo or when the ship is floating
on even keel"
(n sub division of ships from the safety point of view so that when the ship is
flooded due to accident or damaged the ship will not sink beyond the margin line"
(n strength calculations to find out the buoyancy when the ship is floating in
waves
(n launching calculations"
$he Sectional areas and >ertical moments for different ordinate stations along the
length of the ship which has been calculated by using Simpson rules are as shown in the
following tables
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Se&t$o#al area" $# '5 at or!$#ate "tat$o#" "%a&e! LF0@ ' ,55 ' a%art u% to re"%e&t$+e 1aterl$#e" $# '5
STN
WL 1 2 3 4 5 6 7 8 9 10 11 12
0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1$ 0.00 0.24 0."3 1.70 2.55 3.57 4. !.5 .75 11.45 14."4 1".!!12 1.20 3.15 5.40 .04 11.03 14.33 1.1! 22.!4 27.5 34.0! 41.53 50.!3#$ 2.25 5.!7 ".0 14.!1 20.1" 2!.50 33.51 41.23 4".7 5".!4 71.05 4.2!1 3.03 .01 14.22 21.5" 2"."7 3".25 4".45 !0.!5 73.05 !.7" 101.1 11.2
1 12 !.!7 15.7 27.01 3"."0 54.10 !".!2 !.42 104.41 123.!4 144.13 1!5.74 1.542 11.25 25.!5 42.33 !1.03 1.12 102.5" 125.33 14".13 173."3 1"".73 22!.44 253.""
2 12 1!.15 35.75 57.2 1.70 107.0! 133.5! 1!0."" 1".21 21.11 247.54 277.50 307."# 1".2 44.70 71.57 "".77 12." 15".12 1".!3 220.4! 251.!1 22."" 314.57 34!.27
# 12 25.73 53.! 3.52 114.20 145.44 177.07 20.7 240.77 272.77 304.77 33!.77 3!.77$ 27.! 5.02 ".1" 120.1 152.70 14.! 21!.! 24.! 20.! 312.! 344.! 37!.!5 2".1! !0.33 "2.1" 124.1 15!.1 1.1 220.1 252.1 24.1 31!.1 34.1 30.16 2".04 !0.02 "1.50 123.30 155.27 17.27 21".27 251.27 23.27 315.27 347.27 37".27
6 12 2.43 5".0! "0.54 122.34 154.27 1!.27 21.27 250.27 2!."4 300."4 332."4 3!4."4@ 2!."0 5!.25 !.5 11.0 14".!! 11.43 213.33 245.31 277.31 30".31 341.31 373.31
@ 12 23.5 50.37 7.!! 10.2! 13.2 1!".! 201.23 232.0 2!4.53 2"!.35 32.22 3!0.148 1.!5 40.70 !5.17 "1.25 11.41 14!.45 175.2" 204.73 234.5! 2!4.!! 2"4."! 325.4!
8 12 12. 2".3" 4.!0 !".7 "2.20 115.5" 13".7 1!4.!3 1"0.13 21!.1! 242.!1 2!".43 7.52 1.35 31.51 4!.14 !1."5 7.74 "!.24 114.31 132.! 151.! 171.1! 1"0.7!
1$ 5.50 13.71 23.7 35.1! 47.4 !0.57 74.15 .0! 102.30 11!.7 131.53 14!.5! 12 3.5 ".5 17.14 25.23 33."1 42."4 52.1! !1.50 70."2 0.42 "0.12 100.12 #$ 2." 7.1" 12.01 17.21 22.57 27."7 33.35 3.!" 44.0! 4".40 54.7" !0.1"10 1.0 5.02 .5 12.5 1!.74 20.31 23.30 25.!0 27.30 2.4" 2".2" 2".7"
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STN
WL 13 14 15 16 17 18 19 20 21 22 23 24
0 2.07 5.41 11.7" 1".54 2.4 3.47 4".3! !1.101$ 2!.0 34.4 44.!3 5!.4 70.02 4.3 100.51 11!.7412 !1.52 74.3 ".0! 105.17 122.53 141.02 1!0.4"#$ "".25 115."4 134.22 153.77 174.!0 1"!.40 21".10
1 13!.3" 15!.1 177.45 1""."7 223.5" 24.17 273.521 12 212.47 237.44 2!3.35 2"0.15 317.75 34!.05 374."42 22.2 311.07 340.3! 370.15 400.35 430."
2 12 33.!0 3!".!3 400. 432.35 4!3."5 4"5.!7# 37.07 410.00 442.00 474.00 50!.00 53.00
# 12 400.77 432.77 4!4.77 4"!.77 52.77 5!0.77$ 40.! 440.! 472.! 504.! 53!.! 5!.!5 412.1 444.1 47!.1 50.1 540.1 572.16 411.27 443.27 475.27 507.27 53".27 571.27
6 12 3"!."4 42."4 4!0."4 4"2."4 524."4 55!."4@ 405.31 437.31 4!".31 501.31 533.31 5!5.31
@ 12 3"2.12 424.11 45!.11 4.11 520.11 552.11 54.118 35!.10 3!.! 417.71 44.71 47".! 511.0 542.3!
8 12 2"!.57 324.01 351.!" 37".55 407.5! 435.7! 4!4.17 4"2.7! 210.74 231.11 251."0 272." 2"4.4! 31!.42 33.! 3!1.3
1$ 1!1."! 177.77 1"4.0! 210.1 22.01 245.!5 2!3.75 22.2! 301.1" 320.4" 340.4" 12 110.43 121.0 132.1 143.70 155.70 1!.20 11.22 1"4."0 20".33 224.50 240.45 257.21 #$ !5.!" 71.3 77.27 3.44 "0.04 "7.0! 104.!5 112. 121.0 131.5! 142.17 153.!10 30.03 30.11 30.14 30.44 31.17 32.41 34.24 3!.!" 3".75 43.53 4.14 53.57
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ert$&al 'o'e#t" $# '4 o* tra#"+er"e "e&t$o#" 1.r.t 8a"e l$#e at or!$#ate "tat$o#" "%a&e! LF0@ ' ,55 ' a%art
STN
WL 1 2 3 4 5 6 7 8 9 10 11 12
0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001$ 0.00 0.41 2.15 4.! .71 14.32 22.4 35.!5 54.1! 7".! 11!.55 170."212 0.74 3.!" ".34 1.!0 32.10 50.2! 75.1" 10.4 153.17 212.23 2"0.75 3"5.54#$ 1.30 !.4" 1!. 33.77 5."4 "3.!" 13".34 1"7.27 270.02 3!3.1 43.0 !35.!1 1.77 ".3! 24." 50.7 .!4 13".73 20!.11 2"0.1" 3"5.71 52!.3 !4.1! 73.70
1 12 3.!7 17.!4 45.!4 "0. 154."0 240.35 34".!5 44.!5 !4.21 42."! 10!"."3 1332.1"2 !.03 27.3 !".71 135.2" 225.3 344.02 4"1."3 !70.54 1.45 112!.!0 1407.0" 1723."4
2 12 .50 3.13 "3.4 177.1" 2"1.42 437.25 !15.!4 27.35 1073.05 1352.71 1!!7.33 201!.# 10.4 4.0! 115.3 214.17 345.70 511.55 70".7 "41.12 1205." 1504.02 135.!3 2200.23
# 12 13.1! 55.51 12".7! 237.21 377.5 551.2 75.50 ""7.77 12!".77 1573.77 1"0".77 2277.77$ 14.2! 5".!2 137.!1 24.31 3"1.3 5!7.71 775.71 1015.71 127.71 15"1.71 1"27.71 22"5.715 14." !1.74 141.41 253.3" 3"7.3" 573.3" 71.3" 1021.3" 12"3.3" 15"7.3" 1"33.3" 2301.3"6 14.7 !1.3! 140.0" 251.3" 3"5.2 571.2 77".2 101".2 12"1.2 15"5.2 1"31.2 22"".2
6 12 14.51 !0.57 13".30 250.!0 3"4.31 570.31 77.31 101.31 117!." 140." 11!." 214."@ 13.77 57."4 134.51 243.5 35." 5!0.71 7!.05 1007."0 127"."0 153."0 1"1"."0 227."0
@ 12 12.2 52.23 123.0 22!.7 3!4.35 535.0 73".01 "75.2 1245.57 1547.3 12.51 224".5"8 ".7 43.0! 104.41 1"5.7" 31.0" 472.40 !5"."4 0.7 1134.33 1420.30 173.47 20".24
8 12 !."5 31."! 0.1" 154.4! 255.45 34.1 541.4 727."1 "44.71 11"2.00 14!".72 177.1 4.22 20.! 53.73 105.03 17!.25 2!.! 32.4 51.07 !75.7! 5!.2" 105."" 124.42
1$ 3.12 15.!1 40."2 0.5 13!.3 20.43 2"!.73 401.05 522.0" !5".!" 14.!3 "7.50 12 2.21 11.34 2".!5 5.03 "7.15 14!.5 20!.7" 27!.7 35!."1 447.21 54".11 !!4.10 #$ 1.!7 .05 20.13 3.3! !2.47 "2.17 127.14 1!7.21 212." 2!3.5" 320.22 32.3!10 1.12 !.02 15.!3 2".!3 47.13 !!.73 !.11 103.2 117.!5 12." 137.2" 143.02
&?
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STN
WL 13 14 15 16 17 18 19 20 21 22 23 24
0 2!.22 71.47 1!4.15 24.3 431."3 !0!.3 0.37 1037.371$ 251.2" 3!4.! 512.1! !"!.0" "1".!2 117." 14!".0" 175.5!12 531.! 705.! "1.! 11!.4" 1455.03 177.75 213".01#$ 23.3 104.3 1313."! 1!17.0 1"!0.7 2342.40 27!2.42
1 1100.17 13!7.52 1!7!.0" 2025.20 2415.07 245.2" 3314.321 12 1!31.40 1"!.53 2344.2! 275".73 3215.20 3710.50 4244."52 2077.57 24!!.32 2"1.12 3352."5 351.2 435.75
2 12 2400.74 21".!3 3272.2 37!0.!7 422.13 437.1# 25"7.7 302." 34"2." 3"." 451!." 507!."
# 12 2!77.77 310".77 3573.77 40!".77 45"7.77 5157.77$ 2!"5.71 3127.71 35"1.71 407.71 4!15.71 5175.715 2701.3" 3133.3" 35"7.3" 40"3.3" 4!21.3" 511.3"6 2!"".2 3131.2 35"5.2 40"1.2 4!1".2 517".2
6 12 254." 301!." 340." 3"7!." 4504." 50!4."@ 2!7."0 311"."0 353."0 407"."0 4!07."0 51!7."0
@ 12 2!4".30 301.12 3545.12 4041.12 45!".12 512".12 5721.128 2472.2" 27.51 3334.5 315.31 432".24 475.5" 5454.34
8 12 2117.50 247."! 2".3" 3321.1 373.41 427!."3 402.5" 53!0.04 1534.20 10".1 2110.!3 2437.43 27"1.3 317!.11 35"1.35 403".37
1$ 110.03 13"3.4! 1!2".70 1".42 2173.2! 242.0! 21!. 3177."2 35!!.03 3"0."5 4430."2 12 7"2."! "3!.1 10"7.75 127!.40 1474.3 1!"3.1 1"34.15 2200." 24"!.7" 223.0 312.10 3575."5 #$ 451.17 527."! !13.33 70".05 1.04 "40."3 101.33 1241.7 1424.7 1!34.71 173.43 2143."210 145."! 147.03 147.52 152.25 1!4.2 15."! 21".1 2!7.70 330.54 411."! 515.3 !43.51
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CHAPTER-7
H(DROSTATIC CHARACTERISTICS O) SHIP
0. I#tro!u&t$o#.
H
$hroughout the life a ship changes its weight and disposition of cargo, its draft
,trim and freeboard" $he density of water in which ship floats varies" Ship;s stability also
changes "(f its condition at any stated set of circumstances to be estimated, its condition
in a precise state must be known so that the effect of changes from that state can be
calculated" $his precise condition is known as the design condition" 2or this, changes
from the design and properties of underwater form are calculated for a complete range of
water lines" $his information is known as hydrostatic data and is plotted against drafts"
Drafts are spaced e7ually generally one meter apart" $hese curves are shown on
displacement sheet" $he following properties are plotted against draft to form hydrostatic
curves"
a) Moul!e! +olu'e o* !$"%la&e'e#t 8et1ee# A.P. a#! ).P.:
(t gives the volume of displacement of moulded lines of ship i" e) without shell
plating and appendages, % gives therin tonnes"
Ehere density of water t.m-
>olume of displacement can be calculated by simpsonising the sectional area at ordinate
stations of the ship" 8ongitudinal center of buoyancy 8C*) is calculated by taking
moments of product of volume with reference to the mid ship"
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Foulded volume of displacement can also be calculated by simpsonising the
water plane areas, >ertical center of buoyancy is calculated by taking moments of product
of volume E"9"$" base line"
$he >"C"* and 8"C"* are dependent on geometry of ships but not effected by
density of water"
,a EJtre'e +olu'e o* !$"%la&e'e#t 8et1ee# A.P. a#! ).P.:
$his gives the volume of displacement including contribution of shell plate
thickness and displacement due to appendages" $he volume due to thickness of shell
plating, volume due to appendages such as bilge keel, rudder, propeller etc can be
calculated separately and added to moulded volume of displacement"
a) Total olu'e: >olume of Displacement aft of A"" and forward of
2""is to be calculated by dividing the length into e7ual parts" Sectional areas are
calculated and volume is obtained by simpsonising " $his volume is added to e%treme
volume of displacement between A"" and 2"" to get the total volume"
=ater %la#e area" a#! &e#ter o* *lotat$o#:
$he water plane area at any draft is calculated by simpsonising the half breadths .
breadths at ordinate stations, Center of gravity of water plane is calculated by multiplying
the product for area by levers from midship section" Since there is no list the center of
gravity of water plane will be on the center line of the ship" $he center of floatation of
the water plane area depends on the geometry of ship but not effected by density of water"
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Transverse Metacentre above Keel (KB):
>"C"*" is calculated for each of water line" $he distance between the center of
buoyancy and metacentre Fetacentre is a point of intersection of vertical through new
center of buoyancy in the inclined position to vertical through Centre of *uoyancy in the
upright condition of ship)" $he value of metacentre is given by *F 0 (.where ( is
F"+"( of water plane about centre line plane, and is the volume of displacement"
$ransverse metacentre above Jeel is JF 0 J* 1 *F" Similarly longitudinal metacentre
is calculated"
KMT : JF$ 0 J* 1 *F$
KML : JF8 0 J* 1 *F8
To##e" %er Ce#t$'eter I''er"$o# ,TPC:
(t is the weight, which must be added or removed to.from a ship in order to
change the mean draft by 4 cm"
$C for sea water 0 Area of water plane in m6 % '"'4m % 4"'65 density of sea water)
$C for fresh water 0 Area of water plane in s7"m % '"'4 m % 4"''' density fresh water)
Mo'e#t to &a#ge tr$' F 0 &' ,MCT:
FC$ 4 cm 0r"F8. 4''8
Ehere 8 0 length of ship in meters
r0 displacement in tonnes
Since F8^ *F8 , *F8 is obtained as per (8.
FC$ 4 cm 0r" F8. 4''8 0r(8. ) . 4''8
0%84''
'65"4%(8 r0 P4"'65)
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CB ,Blo&k Coe**$&$e#t o* )$#e#e"":
(t is a measure of fineness of ship" (t is the ratio of vol" of displacement) of
moulded form of ship up to given water line and the volume of circumscribing solid of
constant rectangular cross section having the same water line, 8ength, Foulded breadth
at designated Eater 8ine, mouldeld draft of ship up to designated water line" $hese are
different from main dimensions of ship and vary with drafts"
C= ,=ater Pla#e Area Coe**$&$e#t:
(t shows the ratio of area of water plane to the circumscribing rectangular cross
section having the length of designated water line and ma%imum breadth at designated
water line"
CM ,M$!"$% Area Coe**$&$e#t:
(t is ratio of the area of the midship section to the draft and breadth at the
designated water line"
CPL,Lo#g$tu!$#al Pr$"'at$& Coe**$&$e#t:
(t shows the ratio of moulded volume of ship upto the designated water line to
volume of prisms having length e7ual to the waterline length and cross section area e7ual
to the midship section area" (t is the ratio of C*to CFi"e"
CPL0M
B
C
C
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CP ,ert$&al Pr$"'at$& Coe**$&$e#t:
(t shows the ration of moulded volume of ship upto the designed load water line to
volume obtained by the product of water plane area with the draft" (t is the ratio of block
coefficient to the water plane area coefficient"
CP0W
B
C
C
5
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HYDROSTATIC CALCULATIONS FOR ZERO TRIM
HYDROSTATIC PROPERTIES UNITS 1WL 2WL
1 Moulded Volume of Displacement, mld =h/3*v metres3 3869.42 8276.5
2 Displacement in fresh water, fw=mld*1.000 tonnes 3869.42 8276.5
3 Displacement in sea water, sw=mld*1.025 tonnes 3966.15 8483.4
4 Water Plane Area, Aw=(2h/3)*A metres2 4205.96 4587.4
5 Longitudinal Centre of floatation from station 5, LCF=h(M2-M1)/A metres 7.17 7.12
! Longitudinal Centre of buoyancy from station 5, LCB=h(M4-M3)/V metres 7.42 7.29
7 Vertical Centre of buoyancy above base, KB=(VM)/V metres 0.52 1.05
Transverse moment of inertia, IT=2h/9*IT metres4 236027.17 283520
" Transverse metacentre above centre of buoyancy, BMT=IT/mld metres 61.00 34.26
10 Transverse metacentre above base, KMT=KB+BMT metres 61.52 35.30
11 Longitudinal moment of inertia about station 5, IL=(2h3/3)*IL metres4 8898533.60 1035153
12 Longitudinal moment of inertia about LCF, ILCF=IL-(Aw*LCF2) metres4 8682244.81 1011905
13 Longitudinal metacentre above centre of buoyancy, BML=ILcf/mld metres 2243.81 1222.6
14 Longitudinal metacentre above base, KML=KB+BML metres 2244.33 1223.6
15 Tonnes per centimeter immersion, TPC=(Aw *1.025)/100 43.11 47.02
1!
Moment to change trim for 1 centimeter immersion,MCT=( ILCF*1.025)/(100L)
tonne-m 404.51 471.4
17
Block coefcient o neness, Cb=mld/
(L*B*T) 0.58 0.591 Water pa,e area
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3WL 4WL 5WL 6WL 7WL 8WL 9WL 10WL 11WL
12996.98 17927.80 23004.74 28196.59 33480.24 38842.50 44086.74 49600.72 55188.25
12996.98 17927.80 23004.74 28196.59 33480.24 38842.50 44086.74 49600.72 55188.25
13321.90 18376.00 23579.86 28901.51 34317.25 39813.57 45188.90 50840.74 56567.95
4838.31 5008.63 5140.30 5241.13 5324.70 5401.81 5477.74 5550.01 5626.61
6.97 6.63 6.18 5.70 5.17 4.59 3.95 3.22 2.38
7.20 7.08 6.93 6.75 6.54 6.31 5.95 5.68 5.39
1.58 2.11 2.63 3.16 3.69 4.22 4.73 5.26 5.79
314430.49 335569.71 352131.91 364620.92 374467.40 383963.53 392448.24 400010.59 407789.17
24.19 18.72 15.31 12.93 11.18 9.89 8.90 8.06 7.39
25.77 20.82 17.94 16.09 14.87 14.10 13.63 13.32 13.18
11441976.99 12241730.53 12883946.90 13404234.80 13869534.65 14298697.86 14764388.14 15237700.61 15766400.4
11206830.96 12021448.70 12687712.70 13233991.34 13727156.86 14184808.55 14678799.46 15180193.17 15734566.7
862.26 670.55 551.53 469.35 410.01 365.19 332.95 306.05 285.11
863.84 672.65 554.16 472.51 413.70 369.40 337.68 311.30 290.89
49.59 51.34 52.69 53.72 54.58 55.37 56.15 56.89 57.67
522.14 560.09 591.13 616.58 639.56 660.88 683.90 707.26 $%%.0&
0.62 0.64 0.65 0.67 0.68 0.69 0.70 0.70 $%&'0.!" 0.71 0.73 0.74 0.7! 0.77 0.7 0.7" 0.0
0.96 0.97 0.98 0.98 0.98 0.99 0.99 0.99 0.99
0.!4 0.!! 0.!7 0.! 0.!" 0.70 0.71 0.71 0.72
egati!e sign in"icates aft of mi"shi#s
Positive sign indicates o!ad o amids"i#s
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12WL 13WL 14WL 15WL 16WL 17WL 18WL 18.2WL
60854.70 66606.27 72441.11 78355.20 84338.45 90387.44 96493.74 97345.20
60854.70 66606.27 72441.11 78355.20 84338.45 90387.44 96493.74 97345.20
62376.06 68271.42 74252.13 80314.08 86446.91 92647.13 98906.09 99778.83
5707.31 5794.98 5878.36 5945.94 6016.01 6078.93 6132.79 6142.881.51 0.53 -0.34 -0.93 -1.61 -2.06 -2.36 -2.39
5.07 4.72 4.35 3.97 3.59 3.23 2.88 2.51
6.32 6.85 7.39 7.93 8.46 9.00 9.54 9.69
415758.15 423548.44 431663.52 439128.18 446265.47 453506.90 459882.91 461270.20
6.83 6.36 5.96 5.60 5.29 5.02 4.77 4.74
13.15 13.21 13.35 13.53 13.75 14.02 14.30 14.43
16355838.22 17060021.51 17728205.70 18260863.02 18855150.09 19376786.73 19828940.74 19908534.54
16342872.49 17058377.80 17727512.74 18255733.92 18839473.18 19350999.75 19794868.09 19873299.82
268.56 256.11 244.72 232.99 223.38 214.09 205.14 204.15
274.87 262.96 252.10 240.91 231.84 223.09 214.68 213.84
58.50 59.40 60.25 60.95 61.66 62.31 !2.! !2."!
761.43 794.77 825.94 850.55 877.75 901.58 "22.2! "25."2
0.72 0.73 0.73 0.74 0.75 0.76 0.7! 0.7!0.1 0.2 0.3 0.4 0.5 0.! 0.7 0.7
0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.""0.73 0.73 0.74 0.75 0.75 0.7! 0.77 0.7!
egati!e sign in"icates aft of mi"shi#s
Positive sign indicates o!ad o amids"i#s
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=ETTED SUR)ACE AREA AT DRA)T06.90 '
S$A$(+S!A82
(9$!Sin m)SF
9+DC$ 2+9
A9
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$he wetted surface area due to thickness of shell plating, due to appendages such as
bilge keel, rudder, propeller ortion of ship forward of 2"" And aft of A"" Are not
included in this calculated wetted surface area" $hese are to be included in final design"
=ette! "ur*a&e area *ro' e'%$r$&al *or'ula:
F*$m M)mf$*-0s f$*m)(1
S0 ( ) ( )[ ]TBCLBBP
"4'65"4 m6
0 ( ) ( )[ ]54"4@,"4