capacity and trim

Department of Ship Technology, CUSAT, B.Tech (NA$SB), Batch – XXIX

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CHAPTER 6 DETAILED CAPACITY CALCULATION AND

MASS ESTIMATION


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6. DETAILED CAPACITY CALCULATIONS

The capacity plan is to know the cargo volumes in holds and the disposition of tanks and their position of centre of gravities. The mass of crew and effects and water ballast necessary for the design are known. Knowing the density of the various liquids, the volume required is calculated. The hold capacity can be calculated by subtracting the sum of the wing tank capacity and double bottom volume from the total under deck capacity. With the capacity determined, it is possible to calculate the stowage factor. 6.1 Final estimates of consumables, stores and cargo

Range = 3800 nm Speed = 15.0 Knot (open water) = 5.0 Knot (Most severe Ice conditions)

∴Max Hours of travel, H = 760 Hrs Hours in port = 48 Hrs No of officers = 21 No of crew = 23

Volume of heavy fuel oil (VHFO) Specific fuel consumption, SFC = 182 g / KWh. (Assumed for a slow speed large bore diesel engine) Brake power, PB = 38250 KW Mass of heavy fuel oil, MHFO = SFC × PB × H / 1000000 +20% 20% allowance has been taken into account. = 6449 t Volume of HFO, VHFO = MHFO /0.90 = 7154 m3

Volume of diesel oil (VDO) Auxiliary engines Type: SKU CUIN-1200N305, Model 1400 GQKA Number: 3 Manufacturer: Cummins Rated output: 1400 kW Rated capacity: 1200 kW (1750 kVA) 60 Hz or 1166.7 kW (1458.3 kVA) 50 Hz SFC 220 g /KWh PAUX 4200KW


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Mass of diesel oil, MDO = SFC × PAUX × H/1000000

= 747 t Volume of diesel oil, VDO = MDO/0.95 = 786 m3 Volume of boiler fuel oil (VBO) Boiler is selected of capacity 2000KW Mass of boiler oil, VBO = SFC × P × H/1000000 SFC = 220 g /KWh

= 355 t Volume of boiler oil = 355/0.95 = 373 m3

Volume of lubricating oil (VLO) Mass of lube oil, MLO = 0.03 (MHFO + MDO +MBO)

= 216.6 t Volume of lube oil = 216.6/0.9 = 241 m3

Volume of fresh water, (VFW) Consumption of fresh water = 20 litres / person / day Mass of fresh water, M FW = 29.6 t Volume of fresh water, VFW = 29.6 m3

Volume of washing water (VWW)

Consumption 120 liters /person/ day for officers 60 liters /person/ day for crew Mass of washing water, MWW = 131.3 t Volume of washing water, VWW = 131.3 m3

6.2.1 Capacity Calculation with allocation of Spaces

The capacities of tanks/compartments are determined using the computer software AutoCAD 2007. Offset. The values are found by creating different regions, and the “mass prop” command. Tables 6.1, 6.2, 6.3 and 6.4 indicate the moulded capacities (exclusive of camber volume) of respective tanks/compartments along with their location and centres of gravity. In all the above tables LCG is measured from AP, VCG from base line and TCG from the centre line


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Table 6.1 Capacity of cargo Tanks S.No. Item Fr.No. Vol Weight LCG VCG TCG FSM

m^3 (98%vol) m m m tm 1 CH1(P) 70-114 16049.03 13526.12 69.77 13.53 -10.43 15475.16 2 CH1(S) 70-114 16049.03 13526.12 69.77 13.53 10.43 15475.16 3 CH2(P) 114-164 18867.88 15901.85 109.25 13.45 -10.69 18504.95 4 CH2(S) 114-164 18867.88 15901.85 109.25 13.45 10.69 18504.95 5 CH3(P) 164-209 16981.09 14311.66 149.63 13.45 -10.69 16654.46 6 CH3(S) 164-209 16981.09 14311.66 149.63 13.45 10.69 16654.46 7 CH4(P) 209-259 18534.91 15621.22 189.63 13.45 -10.69 18178.398 CH4(S) 209-259 18534.91 15621.22 189.63 13.45 10.69 18178.399 CH5(P) 259-314 14646.90 12344.41 225.39 13.43 -9.32 13350.11

10 CH5(S) 259-314 14646.90 12344.41 225.39 13.43 9.32 13350.11 11 Slop tank(P) 64-70 2067.29 1722.05 50.99 13.84 -9.86 210.43 12 Slop tank(S) 64-70 2067.29 1722.05 50.99 13.84 9.86 210.43

Total 174294.17 146854.61 164747.01

Table 6.2 Capacity of Ballast Tanks S.No. Item Fr.No. Vol Weight LCG VCG TCG FSM

m^3 (98%vol) m m m tm 1 Aft peak tank(s) AE -16 1039.12 1026.48 -5.63 18.96 -7.26 696.39 2 Aft peak tank(s) AE -16 1039.12 1026.48 -5.63 18.96 7.26 696.39 3 Wing ballast tank1(P) 64-70 302.00 298.33 50.96 12.49 -20.85 12.47 4 Wing ballast tank1(S) 64-70 302.00 298.33 50.96 12.49 20.85 12.47 5 Wing ballast tank2(P) 70-114 2420.00 2390.57 73.20 12.50 -21.18 37.30 6 Wing ballast tank2(S) 70-114 2420.00 2390.57 73.20 12.50 21.18 37.30 7 Wing ballast tank3(P) 114-164 2969.90 2933.79 113.15 12.50 -21.18 47.57 8 Wing ballast tank3(S) 114-164 2969.90 2933.79 113.15 12.50 21.18 47.57 9 Wing ballast tank4(P) 164-209 2672.91 2640.41 153.53 12.50 -21.18 42.81 10 Wing ballast tank4(S) 164-209 2672.91 2640.41 153.53 12.50 21.18 42.81 11 Wing ballast tank5(P) 209-259 2917.49 2882.01 193.53 12.50 -21.18 46.73 12 Wing ballast tank5(S) 209-259 2917.49 2882.01 193.53 12.50 21.18 46.73 13 Wing ballast tank6(P) 259-314 2607.02 2575.32 233.25 13.01 -18.12 41.26 14 Wing ballast tank6(S) 259-314 2607.02 2575.32 233.25 13.01 18.12 41.26 15 Ballast tank 1(P) 131-164 1715.13 1694.27 119.65 1.54 -11.19 3791.36 16 Ballast tank 1(S) 131-164 1715.13 1694.27 119.65 1.54 11.19 3791.36 17 Ballast tank 2(P) 164-209 2584.94 2553.50 153.53 1.54 -11.29 6007.23 18 Ballast tank 2(S) 164-209 2584.94 2553.50 153.53 1.54 11.29 6007.23 19 Ballast tank 3(P) 209-259 2821.47 2787.16 193.53 1.54 -11.29 6556.91 20 Ballast tank 3(S) 209-259 2821.47 2787.16 193.53 1.54 11.29 6556.91 21 Ballast tank 4(P) 259-314 2096.42 2070.92 228.34 1.56 -18.12 4390.36 22 Ballast tank 4(S) 259-314 2096.42 2070.92 228.34 1.56 18.12 4390.3623 FP tank(P) 314-fe 1274.32 1258.82 257.31 9.14 -3.88 1034.51 24 FP tank(S) 314-fe 1274.32 1258.82 257.31 9.14 3.88 1034.51

Total 50841.42 50223.19 45409.75


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Table 6.3 Capacity of storage tanks

S.No Item Fr .No. Vol weight LCG VCG TCG FSM

m^3t(98%vol) m m m tm

1 HFO tank1(P) 21-46 398.36 370.87 23.72 2.28 -5.18 476.06 2 HFO tank1(S) 21-46 398.36 370.87 23.72 2.28 5.18 476.06 3 HFO tank 2(P) 67-70 123.50 114.98 50.05 1.60 -8.21 82.29 4 HFO tank 2(S) 67-70 123.50 114.98 50.05 1.60 8.21 82.29 5 HFO tank3(P) 70-114 2196.6 2045.1 71.64 1.57 -9.91 4654.40 6 HFO tank3(S) 70-114 2196.6 2045.1 71.64 1.57 9.91 4654.40 7 HFO tank4(P) 114-131 857.56 798.39 95.20 1.54 -11.19 1855.66 8 HFO tank4(S) 114-131 857.56 798.39 95.20 1.54 11.19 1855.66 9 Boiler fuel tank1(P) 59-64 189.71 176.62 44.10 1.90 -7.56 350.44 10 Boiler fuel tank1(S) 59-64 189.71 176.62 44.10 1.90 7.56 350.44 11 Diesel oil tank 1(P) 46-59 398.70 371.19 35.90 2.28 -5.18 662.15 12 Diesel oil tank 1(S) 46-59 398.70 371.19 35.90 2.28 5.18 662.15 13 Lo tank(P) 64-67 123.50 108.93 47.47 1.60 -8.21 82.29 14 Lo tank(S) 64-67 123.50 108.93 47.47 1.60 8.21 82.29 15 Waste water tank (P) 9---21 66.22 64.90 8.38 4.00 -2.25 2.86 16 Fresh water tank(S) 9---21 66.22 64.90 8.38 4.00 2.25 2.86 17 Waste water tank (P) 9---21 16.00 15.68 8.38 10.20 -3.10 1.68 18 Fresh water tank(S) 9---21 16.00 15.68 8.38 10.20 3.10 1.68

Total 8740.3 8133.2 16335.64

Table 6.4 Capacity of other tanks/compartments

Description No. Location Volume LCG VCG TCG Azipod room 1 -11 – 21 7714 5.58 17.75 0 Engine Room 1 21 – 64 21716 30.3 12.47 0 Cofferdam 1 70 – 71 688 53.9 11.67 0 Chain Locker(P&S) 2 314 – 322 528 254.5 21.2 0 Forecastle deck 1 314-349 1093.4 259.07 25.26 0

Deck house 1 21-64 9472 36.89 30.78 0 Total 41211


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6.2.2 GROSS TONNAGE COMPUTATIONS

GROSS TONNAGE (GT) = K1 V

Where K1 = 0.2 + 0.02 log10 (V)

Where K1 = 0.2 + 0.02 log 10 (267133.34) = 0.3087

V = Total volume of all enclosed spaces of the ship in m3 = 275086.9 m3

GROSS TONNAGE (GT) = 84919


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6.2.3 NET TONNAGE COMPUTATIONS NET TONNAGE (NT) = K2 VC (4 d / 3 D )2 + K3 ( N1 + N2 / 10) In which formula a) The factor (4 d / 3 D)2 shall not be taken as greater than unity. b) The term K2 VC(4 d / 3 D )2 shall not be taken as less than "0.25 GT" ; c) "NT" should not be taken as less than "0.3 GT" VC, Total volume of cargo spaces =170160.17m3 (excluding slop tank volume) K2 = 0.2 + 0.02 * log10 (Vc) = 0.3046, D = Moulded depth amidships in metres. D = 23.76 m. d = Moulded draft amidships, d =16.75 m. K3 = 1.25 [(GT + 10000) / 10000] = 11.86 N1 = Number of passengers in cabins with not more than 8 berths. N2 = Number of other passengers. N1 + N2 = Total number of passengers the ship is permitted to carry as in the

ship’s Passenger certificates. When N1 + N2 is less than 13, N1 + N2 shall be taken as zero (no passengers hence zero) In the expression for Net Tonnage, K3 (N1 + N2 / 10) = 0 a) Since d = 16.75, the expression (4 d / 3 D )2 =0.8835 b) In the expression for Net Tonnage, K2 VC (4 d / 3 D )2 = 45792.5 > 0.25 GT ∴The term K2VC (4d / 3D) 2 is taken as 45792.5

c) NT = K2VC (4d / 3D) 2 + K3 (N1 + N2/10)

= 45792.5 + 0

= 45792.5 > 0.30 GT (24723.18)

∴Net Tonnage is taken as 45792.5

NET TONNAGE (NT) = 45793


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6.3 Final Mass Estimation

6.3.1 Introduction

At the initial stages of design, dimensions of superstructures and deckhouses were not known. Lightship mass was calculated by taking rough values or giving allowance for masses of these quantities. After designing the general arrangement plan, the lightship mass is estimated more accurately, using actual values wherever possible and empirical formulae when the actual mass is not known.

6.3.2 Procedure

The light ship mass is split up into various components and their masses are estimated using empirical formulae and summed up. Mathematically,

ΔLS = ΔSE + ΔWO + ΔEP,

Where, ΔSE = Steel mass ΔWO = Wood & outfit mass ΔEP = Engine plant mass

6.3.3 Steel Mass

ΔSE = Δ7SE [1+ 0.5 (CB

0.8 –0.7)] + 840 t (addition for Ice Class 1A, taken from parent ship)

Δ7SE = KE1.36

K = 0.029 –0.035 E = L (B + T) + 0.85L (D-T) + 250

= 19030.44 E = 1500 – 40000 for tankers Take K = 0.035 Δ7

SE = 23126.95 CB

8 = Block Coefficient at 0.8D = CB + (1- CB) (0.8D – T) /3T = 0.846 ΔSE = 25717.9 t


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6.3.4 Wood and Outfit Mass ΔOU = Co× L × B + 100 t (approx additional weight for Helipad and helicopter)

Co =0.24 [Ref37]

= 3173.9t

6.3.5 Engine Plant mass ΔEP = Weight of Main engine & generator + Weight of

transformer, frequency convertor &MSB + Weight of Pod + Weight of Auxiliary machinery (3*Cummins Model 1400 GQKA) + Weight of boiler& pump etc

= 975 + 174 + (662*2) + (3 x 60) + 150 = 2803 t Light ship weight = ΔSE + ΔOU + ΔEP, = 31694.8 t

6.4 Distribution of Masses to Find Centre of Gravity

LCG is measured from AP and VCG from keel.

6. 4.1 Steel Mass

Steel mass can be divided into mass of superstructure and that of continuous material. Volume of superstructure = 9472 m3

∴Mass of superstructure = 0.067 × 9472 = 634.6 t ∴Mass of continuous material = Mass of steel – Mass of super structure = 25717.9 – 634.6 = 25083.3 t

Mass of superstructure is assumed to act at its centroid (LCG = 36.89, VCG = 30.78) (Calculated by AutoCAD Drawing with some geometrical assumptions) COG of continuous material: VCG hull = 0.01D (46.6 + 0.135(0.81 – CB)(L/D)2) + 0.008D(L/B – 6.5), L ≤ 120 m


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= 0.01D (46.6 + 0.135(0.81 –CB)(L/D)2), 120 m < L = 10.96 m The longitudinal position of the basic hull weight is assumed to be located at mid of length over all, as ship is highly strengthened in fwd and aft to meet with operational requirements. LCG hull = 125.6 m

LCG = 125.6 m from AP VCG = 10.96 m from keel

Table 6.5 Determination of COG of Steel Mass

ITEM MASS(t) LCG from AP(m) VCG keel(m)

Super structure 634.6 36.89 30.78

Longitudinal continuous material 25083.3 125.6 10.96

TOTAL 25717.9 123.41 11.45 LCG of Steel mass = 123.41 m VCG of Steel mass = 11.45 m 6. 4.2 Engine plant mass

The engine plant mass is divided into propeller mass, propeller shaft mass, main engine mass, & remainder mass

Table 6.6

Determination of COG of machinery Item Mass (t) LCG(m) VCG(m)

Main engine 975 21.27 7.00 Electric equipment 174 6.30 16.70 Pod and propeller 1324 0.00 7.93

Aux engine 180 33.90 6.50 Boiler and pump 150 34.00 8.00

Total 2803 11.79 8.06


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6. 4.3 Wood and outfit mass VCG = D + 1.25, L ≤ 125 m = D + 1.25 + 0.01(L-125), 125 < L ≤ 250 m = D + 2.50, 250 m < L = 26.26m LCG = (25% Wo at LCGM, 37.5% at LCG dh, and 37.5% at amidships)

LCG = 66.09 m

Table 6.7 Determination of COG of Light Ship

ITEM MASS(t) LCG from AP(m) VCG keel(m)

Steel 25717.9 125.6 11.45

Wood & Outfit 3173.9 66.09 26.26

Engine Plant 2803 11.79 8.06 TOTAL 31694.8 107.46 12.63

6.5 Required capacity: Volume of HFO, = 7154 m3

Volume of diesel oil, = 786 m3 Volume of boiler oil, = 373 m3

Volume of lube oil = 241 m3

Volume of fresh water, = 30 m3 Volume of washing water, = 131 m3

Volume of washing water = 168096 m3


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Available capacity Cargo Capacity = 174294.17 m3

Ballast water Capacity = 50841.42m3

HFO tank Capacity = 7152.1 m3

DFO tank Capacity = 797.4 m3

Boiler fuel tank Capacity = 379.42 m3

LO tank Capacity = 247 m3

Capacity of FW tank = 32 m3

Capacity of washing water tank= 132.44 m3

All the available capacities of tanks is more than the required, hence the design

is satisfactory.


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CHAPTER 7

DETAILED TRIM AND STABILITY CALCULATIONS


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7.1 TRANSVERSE STABILITY For small angles of inclination (heel) of the order of 4 or 5 degrees, the waterlines

before inclination and after inclination intersect at the same point on the vertical

centreline of the vessel, keeping the emerged and immersed volume of water equal.

The center of buoyancy has moved off the vessel’s centerline as the result of

inclination, and the lines along which the resultants of weight and buoyancy act are

separated by a distance, “GZ”, the righting arm. A vertical line through the centre of

buoyancy will intersect the original vertical through the centre of buoyancy, which is

in the vessel’s centreline plane, at a point “M” called the transverse metacentre. For

small angles of inclination, the point “M”, will remain practically stationary with respect

to the vessel’s centreline. The distance “GM", between the vessel’s centre of gravity

‘G’ and M’ when angle of heel is zero degrees, is the transverse metacentric height

(often called “Initial Stability” ) and is used as an index of stability for the preparation

of stability curves. The position of the transverse metacentre varies with the draft.

The transverse met centric position for small angles of inclination above the keel

point “K”, denoted as “KM".

The location of the metacentre has neither to do with the nature nor the distribution of

weights onboard. On the other hand, the vertical centre of gravity position above the

keel point “K”, denoted as “KG”, depends on the nature & distribution of oil, water

etc.

The centre of gravity of a vessel decreases directly when the positioning of weights is

lower and increases when positioning of weights is higher.

The transverse metacentric height is given by the relation:

GM = KMT – KG If the displacement of the vessel in the light condition is known, the position of centre

of gravity “KG” , can be calculated by taking the vertical moments (weight of the

item * centre of gravity of the item) of all items on board and dividing the sum of these

moments by the total weight, i.e., displacement. Corresponding to this displacement,

the draft is determined and the “KMT" value obtained from the Hydrostatic Curves or

tables.


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The motion of the liquid in a partially filled tank reduces the vessel’s stability because,

as the vessel is inclined, the centre of gravity of the liquid shifts towards one side.

This shift in the liquid causes the vessel’s centre of gravity to move towards the

lower side, reducing the righting arm and thus the stability is adversely affected by

the “free surface effect". The sum of the free surface moments of all liquid items in

tanks, not pressed full, is divided by the displacement of the vessel to obtain the Free

Surface Correction, described in page no. 21, denoted as “GG0 ". The new vertical

centre of gravity is denoted as “G” and its position above keel,”KG "is given by the

simple relation,

KGO =KG + GG0

The transverse metacentric height (corrected) is given by,

G0M = KMT -KG0 = GM - GG0

To maintain positive stability, the transverse metacentre must lie above the centre of

gravity i.e., the metacentric height must always be positive and its value must be able

to comply with statutory requirements.

7.2 LONGITUDINAL STABILITY

The longitudinal stability of a vessel usually poses no problem as the longitudinal

metacentric position is much higher than the center of gravity position The

longitudinal metacentre is similar to the transverse metacentre except that it involves

longitudinal inclinations. Since vessel is usually not symmetrical forward and aft, the

center of buoyancy at various even keel waterlines doesn’t always lie in a fixed

transverse plane, but may move forward and aft with changes in draft. For a given

even keel waterline, the longitudinal metacentre is defined as the intersection of a

vertical line through the center of buoyancy in the even keel position with a vertical

line through the position of the center of buoyancy after the vessel has been inclined

longitudinally through small angles.


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The longitudinal metacentre, like the transverse, is substantially fixed with respect to

the vessel for moderate angles of inclination if there is no abrupt change in the shape

of the vessel in the vicinity of waterline, and its distance above the vessels center of

gravity is called the longitudinal metacentric height.

DRAFTS AND TRIM: The draft “T”, corresponding to the displacement, obtained from the Hydrostatic

Curves or Tables, is the draft at the longitudinal centre of flotation, denoted as “LCF”.

The longitudinal centre of gravity “LCG” is obtained by dividing the net longitudinal

moment by the displacement. If the longitudinal centre of buoyancy “LCB” position

does not coincide with “LCG” position, the vessel will “trim“, i.e., the draft at the fore

end of waterline “Tf " and the draft at the aft end “T a " will not be equal. If the “LCG”

is forward of the “LCB”, the vessel will trim by forward and if the “LCB” is forward of

the “LCG” , the vessel will trim by aft.

The total trim, denoted as “t”, is given by:

t = T a - Tf = ((LCB – LCG) X Displacement ) / (100 X MCT1cm )

Positive “t” implies trim by aft & negative “t” implies trim by forward. The “LCB”,

“LCF”, and “MCT1cm" (moment to change trim by 1cm) are all obtained from the

Hydrostatic Tables

The drafts at the extreme ends of waterline are given by the algebraic relation:

Ta = T + t * LCF / LWL

Tf = T + t * (LCF-LWL) / LWL The position of “LCG” depends on whether the weights are placed more concentrated

in the forward or aft of the vessel, in which case the vessel will trim by forward or aft,

respectively. Hence, the distribution of cargo, oil, freshwater, etc. must be uniform to

keep the trim as little as possible and towards aft. It must be noted that if it is not

possible to avoid trim, then trim by aft is more recommendable than trim by forward.

In the departure condition the trim, if present, must be, as far as possible, by aft.


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7.3 WEATHER CRITERION ACCORDING TO IMO RES. A 749 (18)

The ability of a ship to withstand the combined effects of beam wind & rolling should

be demonstrated for each standard condition of loading.

The ship is subjected to a steady wind pressure acting perpendicular to the ship’s

centreline which results in a steady wind heeling lever (lw1)

1. From the resultant angle of equilibrium (θ0), the ship is assumed to roll owing to

wave action to an angle of roll (θ1) to windward.

2. The ship is then subjected to a gust wind pressure which results in a gust wind

heeling lever (lw2)

3. Under these circumstances, area “ b” should be greater than or equal to area “a”.

4. Free surface effect should be accounted for in the standard conditions of loading.

The angles are defined as follows:

θ0 = Angle of heel under action of steady wind.

θ1 = Angle of roll to windward due to wave action

θ2= Angle of down flooding ( θf ) or 50 degrees or θc , whichever is less

θf= Angle of heel at which openings in the hull, superstructures or

deckhouses which cannot be closed watertight,

θc= Angle of second intercept between wind heeling lever ( lw2 ) and GZ

curves.

The wind heeling levers lw1 and lw2 are constant values at all angles of inclinations

and should be calculated as follows:

lw1 = P * A * Z / (1000 * g * Δ (m)

lw2 = 1.5 * lw1


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Where:

P = 504 N/m2

A = Projected lateral area of the portion of the ship above waterline in m2.

Z = Vertical distance from the centre of the projected lateral area (A) to the

centre of underwater lateral area or approximately to a point at one half

the draft in metres.

Δ = Displacement of the ship in tonnes.

g = Acceleration due to gravity (g = 9.81 m/s2)

The angle of roll (θ1) should be calculated as follows

θ1= 109 * k * X1 * X2 * √(r * s) (degrees)

Where,

X1, X2, k & s are factors given in tables 7.1 below.

k is a factor depending on type of bilge construction.

r = 0.73 + 0.6 OG/d

OG = distance between centre of gravity and the waterline in metres (+ ve if center

of gravity is above WL, -ve, if it is below)

d = mean draught of the ship (m)

Rolling period T = 2CB / √ GM (s)

Where

C = 0.373 + 0.023 (B/d) - 0.043 (L / 100).

The symbols in the above tables and formula for the rolling period are defined as

follows:

L = waterline length of the ship (m)

B = moulded breadth of the ship (m)

d = mean moulded draft of the ship (m)

CB = block coefficient

Ak= total overall area of bilge keels, or area of the lateral projection of the

bar keel, or sum of these areas (m2)

GM= metacentric height corrected for free surface effect (m)


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Table 7.1 Table for X1, X2, K and s

Values of factor X1 B/d ≤ 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.4 ≥ 3.5 X1 1.00 0.98 0.96 0.95 0.93 0.91 0.90 0.88 0.86 0.82 0.80 Values of factor X2

Cb ≤ 0.45 0.50 0.55 0.60 0.65 ≥ 0.70 X2 0.75 0.82 0.89 0.95 0.97 1.00

Values of factor k Ak × 100 / L × B 0.00 1.00 1.50 2.00 2.50 3.00 3.50 ≥ 4.00 K 1.00 0.98 0.95 0.88 0.79 0.74 0.72 0.70 Values of factor s T ≤ 6.00 7.00 8.00 12.00 14.00 16.00 18.00 ≥ 20.00S 0.100 0.098 0.093 0.065 0.053 0.044 0.038 0.035 (Intermediate values in tables should be obtained by linear interpolation)


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WINDAGE AREA TABLE Table 7.2

Draught wind area VCG Above

Base line Half draught

m m2 m m 2 6126 14.12 13.12 4 5604 15.16 13.16 6 5086 16.2 13.2 8 4574 17.23 13.23 10 4064 18.26 13.26 12 3553 19.3 13.3 14 3024 20.4 13.4 16 2485 21.58 13.58 18 1935 22.87 13.87 20 1381 24.42 14.42

DOWNFLOODING ANGLE, DECK IMMERSION & DRAFT PARTICULARS Table 7.3

Draft(m) Deck Immersion(Deg) Down Flooding(Deg) 2 41.76 53.67 4 39.07 51 6 36.09 47.98 8 32.9 44.54

10 29.46 40.69 12 25.78 36.31 14 21.8 31.38 16 17.67 25.87 18 13.3 19.79 20 8.77 13.22


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7.3 Hydrostatic table for trimmed condition Hydrostatic properties(trim=-2m Fwd)

(Tables 7.4)

Draft Disp LCB KB(m) LCF(m) TPC KMT MCT1cm

(m) (t) (m) (m) (m) (t) (m) (tm) 2.5 24468.24 155.004 1.525 142.971 101.345 66.928 1548.395

3 29593.65 152.858 1.777 142.279 103.101 57.897 1597.9843.5 34798.1 151.223 2.032 141.586 104.508 51.156 1639.369

4 40065.6 149.917 2.287 141.007 105.645 45.91 1674.9264.5 45386.27 148.841 2.543 140.504 106.625 41.744 1708.454

5 50751.13 147.94 2.799 140.13 107.416 38.367 1735.6575.5 56152.38 147.167 3.055 139.679 108.093 35.629 1757.739

6 61586.52 146.486 3.311 139.215 108.729 33.374 1779.2786.5 67052.07 145.875 3.567 138.769 109.34 31.502 1800.326

7 72545.2 145.323 3.823 138.423 109.821 29.882 1816.7317.5 78060.64 144.823 4.08 138.056 110.244 28.509 1830.302

8 83596.86 144.362 4.336 137.69 110.655 27.34 1843.588.5 89153.5 143.935 4.592 137.335 111.048 26.331 1857.01

9 94728.45 143.537 4.848 136.995 111.415 25.441 1870.659.5 100324.2 143.163 5.104 136.686 111.89 24.72 1888.17810 105948 142.813 5.36 136.435 112.516 24.178 1907.989

10.5 111604.2 142.483 5.617 136.19 113.164 23.727 1927.8111 117291.7 142.173 5.875 135.993 113.77 23.329 1946.383

11.5 123008.3 141.881 6.133 135.739 114.267 22.923 1963.32512 128741.8 141.599 6.391 135.356 114.476 22.44 1976.977

12.5 134483.4 141.324 6.649 134.973 114.622 21.993 1990.49413 140231.6 141.056 6.906 134.64 114.724 21.591 2002.334

13.5 145994.6 140.791 7.163 133.896 115.379 21.275 2046.42114 151806.6 140.506 7.422 132.798 116.548 21.066 2116.947

14.5 157680 140.198 7.682 131.643 117.819 20.926 2191.39515 163615.7 139.868 7.943 130.786 118.827 20.813 2249.991

15.5 169583 139.544 8.205 130.536 119.27 20.679 2273.85716 175572.6 139.232 8.468 130.301 119.735 20.57 2299.595

16.5 181586.6 138.933 8.73 130.075 120.224 20.488 2326.96617 187624.7 138.644 8.992 129.871 120.698 20.424 2354.047

17.5 193686.4 138.367 9.255 129.721 121.166 20.379 2380.585


139

Hydrostatic properties(trim=-1.5 m for'd) (Tables 7.5)

Draft Disp LCB KB(m) LCF(m) TPCI KMT MCT1cm

(m) (t) (m) (m) (m) (t) (m) (tm) 3.25 31599.62 149.628 1.859 141.599 103.949 55.241 1625.6393.75 36842.45 148.443 2.116 141.023 105.196 49.079 1662.714.25 42142.74 147.475 2.374 140.481 106.255 44.269 1697.0864.75 47490.26 146.664 2.631 140.099 107.089 40.369 1726.1885.25 52877.73 145.978 2.889 139.75 107.868 37.276 1752.7755.75 58301.68 145.378 3.146 139.298 108.538 34.747 1774.6436.25 63757.94 144.838 3.404 138.839 109.165 32.651 1795.9576.75 69243.34 144.347 3.661 138.479 109.678 30.852 1813.7097.25 74752.78 143.903 3.918 138.154 110.144 29.336 1829.3617.75 80284.26 143.494 4.175 137.789 110.563 28.049 1842.7158.25 85836.49 143.113 4.432 137.421 110.97 26.948 1856.1268.75 91407.94 142.756 4.689 137.079 111.336 25.973 1869.5369.25 96998.39 142.418 4.945 136.709 111.73 25.138 1884.7859.75 997714.5 142.097 5.202 136.407 112.24 24.475 1903.077

10.25 108252.9 141.794 5.459 136.158 112.889 23.98 1923.02610.75 113927 141.508 5.717 135.945 113.498 23.544 1941.56211.25 119630.9 141.238 5.975 135.752 114.098 23.171 1959.8811.75 125363.1 140.982 6.234 135.467 114.539 22.762 1976.06912.25 131108.8 140.731 6.493 135.081 114.702 22.283 1989.62612.75 136861.4 140.486 6.751 134.73 114.812 21.849 2001.72113.25 142624.7 140.241 7.008 133.977 115.285 21.468 2037.25713.75 148428.5 139.974 7.267 132.832 116.339 21.191 2106.03414.25 154291.1 139.681 7.527 131.681 117.596 21.026 2180.10414.75 160217.1 139.364 7.789 130.731 118.686 20.903 2243.46215.25 166177.2 139.05 8.052 130.48 119.13 20.756 2267.10515.75 172159.9 138.747 8.314 130.221 119.578 20.633 2291.44216.25 178165.3 138.456 8.577 129.977 120.048 20.535 2317.66616.75 184194.9 138.174 8.839 129.761 120.524 20.459 2344.7417.25 190247.1 137.904 9.102 129.588 120.969 20.401 2369.93217.75 196322.3 137.644 9.365 129.444 121.43 20.363 2396.183


140



(m) (t) (m) (m) (m) (t) (m) (tm) 3 28421.75 147.703 1.688 141.508 103.22 60.071 1606.082

3.5 33633.71 146.702 1.947 141.019 104.677 52.758 1650.0954 38911.13 145.895 2.207 140.479 105.854 47.195 1685.187

4.5 44240.76 145.214 2.466 140.051 106.745 42.681 1715.8415 49611.11 144.637 2.724 139.715 107.537 39.112 1743.032

5.5 55021.22 144.136 2.983 139.372 108.322 36.277 1769.8466 60467.59 143.687 3.242 138.921 108.978 33.931 1791.422

6.5 65944.84 143.273 3.5 138.526 109.527 31.936 1810.3127 71446.74 142.895 3.758 138.207 109.999 30.244 1826.247

7.5 76972.29 142.547 4.016 137.888 110.465 28.828 1841.8448 82520 142.222 4.273 137.52 110.885 27.62 1855.36

8.5 88087.75 141.913 4.531 137.166 111.26 26.559 1868.5899 93674.54 141.619 4.788 136.793 111.652 25.64 1883.746

9.5 99281.05 141.336 5.045 136.417 112.052 24.854 1899.27810 104910.4 141.064 5.303 136.129 112.607 24.256 1918.131

10.5 110571 140.805 5.561 135.905 113.232 23.784 1937.13211 116261.6 140.56 5.819 135.707 113.826 23.373 1955.1

11.5 121982.2 140.328 6.078 135.509 114.428 23.024 1973.50912 127729.2 140.105 6.337 135.19 114.784 22.599 1988.805

12.5 133486.3 139.885 6.596 134.826 114.905 22.13 2001.42113 139252.7 139.664 6.854 134.147 115.305 21.714 2032.291

13.5 145054.7 139.419 7.113 132.903 116.214 21.363 2096.20414 150907.7 139.143 7.374 131.72 117.375 21.139 2168.875

14.5 156823.7 138.841 7.636 130.679 118.547 21.005 2237.15915 162776.9 138.538 7.899 130.426 118.989 20.84 2260.644

15.5 168752.5 138.246 8.161 130.166 119.44 20.706 2284.75316 174750.9 137.964 8.424 129.899 119.892 20.593 2309.569

16.5 180772.2 137.691 8.687 129.657 120.355 20.503 2335.79617 186816 137.428 8.95 129.48 120.794 20.432 2360.686

17.5 192881.8 137.176 9.213 129.31 121.235 20.383 2385.606


141



(m) (t) (m) (m) (m) (t) (m) (tm) 3.25 30444.82 144.624 1.781 140.874 104.008 57.082 1631.8353.75 35692.51 144.044 2.042 140.482 105.37 50.538 1672.7854.25 41002.5 143.549 2.303 140.002 106.404 45.382 1705.5154.75 46355.65 143.12 2.563 139.666 107.194 41.223 1732.6365.25 51748.71 142.743 2.822 139.332 107.987 37.965 1759.9055.75 57181.39 142.403 3.081 138.998 108.776 35.362 1786.7796.25 62649.86 142.086 3.341 138.576 109.379 33.152 1806.9956.75 68144.41 141.79 3.599 138.254 109.849 31.257 1822.89 7.25 73662.38 141.513 3.858 137.938 110.319 29.68 1838.7187.75 79203.98 141.252 4.116 137.619 110.79 28.356 1854.52 8.25 84767.76 141.002 4.374 137.258 111.189 27.205 1867.9588.75 90350.84 140.759 4.632 136.88 111.575 26.193 1882.8029.25 95953.56 140.521 4.89 136.503 111.974 25.33 1898.2219.75 101576.5 140.288 5.148 136.123 112.378 24.591 1913.92810.25 107223.6 140.061 5.406 135.864 112.966 24.05 1932.73710.75 112901 139.845 5.664 135.667 113.56 23.598 1950.61411.25 118608.3 139.639 5.923 135.466 114.159 23.215 1968.81911.75 124345.6 139.442 6.182 135.267 114.761 22.891 1987.14712.25 130106.2 139.25 6.442 134.922 115.001 22.436 2001.18112.75 135875.9 139.056 6.701 134.313 115.337 21.982 2028.09513.25 141679.1 138.837 6.961 133.082 116.229 21.597 2091.03613.75 147529.2 138.583 7.222 131.779 117.203 21.285 2158.24114.25 153435.3 138.298 7.484 130.629 118.41 21.119 2230.90314.75 159381.7 138.007 7.747 130.374 118.851 20.936 2254.33315.25 165350.4 137.726 8.01 130.113 119.301 20.785 2278.33415.75 171341.8 137.456 8.273 129.845 119.759 20.663 2302.92 16.25 177356.3 137.193 8.536 129.574 120.208 20.558 2328.05916.75 183392 136.939 8.799 129.376 120.625 20.472 2351.74617.25 189449.3 136.694 9.063 129.201 121.064 20.41 2376.56 17.75 195528.7 136.459 9.326 129.03 121.503 20.369 2401.516


142

Hydrostatic properties(Even keel condition) (Tables 7.8)

Draft Disp LCB KB LCF(m) TPCI KMT MCT1cm(m) (t) (m) (m) (m) (t) (m) (tm)

3 27279.53 142.111 1.62 140.721 103.33 62.414 1613.253.5 32493.33 141.856 1.881 140.331 104.697 54.362 1654.319

4 37775.54 141.616 2.143 139.953 106.062 48.566 1695.2294.5 43111.65 141.39 2.404 139.618 106.85 43.672 1722.266

5 48487.52 141.174 2.664 139.282 107.645 39.899 1749.5455.5 53903.09 140.967 2.924 138.952 108.437 36.918 1776.63

6 59358.37 140.767 3.183 138.626 109.231 34.521 1803.7266.5 64845.38 140.572 3.443 138.303 109.702 32.392 1819.625

7 70355.94 140.382 3.702 137.984 110.17 30.629 1835.367.5 75890.09 140.195 3.961 137.668 110.642 29.157 1851.225

8 81447.98 140.012 4.219 137.35 111.118 27.917 1867.2948.5 87027.59 139.829 4.478 136.972 111.506 26.803 1882.211

9 92626.64 139.645 4.736 136.591 111.897 25.854 1897.2689.5 98245.7 139.46 4.994 136.208 112.3 25.042 1912.95510 103885 139.273 5.252 135.828 112.707 24.346 1928.631

10.5 109549.3 139.089 5.511 135.627 113.294 23.849 1946.17911 115243.1 138.913 5.77 135.425 113.893 23.426 1964.328

11.5 120967.1 138.744 6.029 135.225 114.493 23.069 1982.56812 126721.3 138.579 6.289 135.021 115.098 22.768 2001.059

12.5 132494.7 138.415 6.548 134.475 115.374 22.274 2024.18813 138299 138.225 6.809 133.262 116.248 21.852 2086.143

13.5 144150.1 137.997 7.07 131.962 117.216 21.507 2153.10314 150051.9 137.733 7.333 130.581 118.275 21.246 2224.796

14.5 155991.5 137.455 7.596 130.323 118.714 21.043 2248.11715 161953.5 137.188 7.86 130.061 119.164 20.875 2272.053

15.5 167938.2 136.929 8.123 129.792 119.621 20.736 2296.58216 173946 136.678 8.387 129.515 120.087 20.626 2321.736

16.5 179975.3 136.435 8.65 129.293 120.481 20.523 2344.10617 186025 136.199 8.913 129.095 120.896 20.446 2367.689

17.5 192095.3 135.972 9.177 128.922 121.335 20.393 2392.55618 198188.9 135.752 9.44 128.745 121.777 20.36 2417.764


143

Hydrostatic properties(trim=0.5m aft) (Tables 7.9)

Draft Disp LCB KB LCF(m) TPCI KMT MCT1cm(m) (t) (m) (m) (m) (t) (m) (tm) 3.25 29317.84 139.24 1.725 140.172 104.018 59.026 1635.5273.75 34566.14 139.353 1.987 139.795 105.385 51.967 1676.5064.25 39878.98 139.394 2.248 139.565 106.505 46.541 1711.7084.75 45237.7 139.395 2.509 139.232 107.303 42.13 1739.1765.25 50636.16 139.36 2.769 138.902 108.095 38.695 1766.2515.75 56074.25 139.299 3.029 138.575 108.889 35.961 1793.3016.25 61549.88 139.224 3.289 138.348 109.55 33.664 1816.1556.75 67053.02 139.139 3.548 138.033 110.023 31.688 1832.1577.25 72579.7 139.043 3.807 137.715 110.492 30.046 1847.8617.75 78130.05 138.937 4.066 137.396 110.968 28.671 1863.9188.25 83704.41 138.823 4.325 137.062 111.433 27.475 1881.4918.75 89299.99 138.701 4.584 136.684 111.826 26.43 1896.6569.25 94915.28 138.57 4.842 136.296 112.226 25.538 1912.0899.75 100550.7 138.432 5.101 135.915 112.629 24.773 1927.712

10.25 106205.9 138.289 5.359 135.593 113.034 24.127 1942.0510.75 111886.8 138.147 5.618 135.386 113.628 23.662 1959.89811.25 117597.3 138.008 5.877 135.184 114.227 23.268 1978.07211.75 123338.2 137.871 6.137 134.981 114.832 22.936 1996.54112.25 129108.8 137.737 6.397 134.634 115.421 22.591 2020.91212.75 134914.4 137.579 6.658 133.441 116.269 22.13 2081.26913.25 140766.4 137.38 6.92 132.145 117.233 21.749 2148.17213.75 146668.8 137.142 7.183 130.77 118.284 21.456 2219.58514.25 152606.4 136.883 7.447 130.277 118.581 21.164 2242.06614.75 158561.4 136.63 7.711 130.011 119.026 20.976 2265.78615.25 164539.1 136.384 7.974 129.741 119.483 20.821 2290.25515.75 170539.9 136.146 8.238 129.465 119.948 20.695 2315.34116.25 176562.9 135.914 8.502 129.235 120.36 20.586 2337.83316.75 182605.9 135.689 8.765 129.013 120.753 20.493 2360.18917.25 188668.7 135.471 9.029 128.816 121.167 20.425 2383.69517.75 194753.4 135.261 9.293 128.639 121.61 20.381 2408.884


144


Draft Disp LCB KB LCF(m) TPCI KMT MCT1cm(m) (t) (m) (m) (m) (t) (m) (tm)

3.5 31380.52 136.674 1.836 139.631 104.705 56.076 1657.5794 36661.96 137.078 2.097 139.359 105.968 49.754 1694.931

4.5 41999.22 137.356 2.357 139.174 106.954 44.726 1728.4545 47380.45 137.545 2.617 138.851 107.753 40.734 1755.864

5.5 52801.48 137.662 2.877 138.525 108.546 37.597 1782.8886 58261.31 137.729 3.137 138.269 109.263 35.036 1807.122

6.5 63753.55 137.767 3.397 138.072 109.867 32.873 1828.4887 69272.72 137.779 3.656 137.764 110.345 31.037 1844.639

7.5 74815.65 137.766 3.915 137.442 110.819 29.505 1860.6098 80382.83 137.732 4.174 137.1 111.306 28.203 1878.286

8.5 85973.32 137.68 4.433 136.772 111.751 27.064 1895.7889 91585.11 137.613 4.692 136.389 112.154 26.082 1911.476

9.5 97216.93 137.531 4.951 136.003 112.554 25.243 1926.88210 102868.3 137.437 5.209 135.651 112.925 24.513 1941.152

10.5 108538.8 137.335 5.468 135.352 113.368 23.924 1955.83611 114236.2 137.231 5.727 135.145 113.963 23.49 1973.688

11.5 119963.7 137.127 5.987 134.941 114.565 23.122 1991.99912 125721.5 137.022 6.247 134.667 115.226 22.801 2014.88

12.5 131525 136.897 6.508 133.626 116.298 22.433 2076.80613 137378 136.73 6.77 132.327 117.25 22.013 2143.237

13.5 143281.1 136.521 7.034 130.96 118.294 21.685 2214.3914 149222.5 136.285 7.299 130.359 118.63 21.356 2241.542

14.5 155174.4 136.049 7.563 129.966 118.895 21.089 2259.87115 161145.2 135.819 7.827 129.691 119.347 20.916 2284.013

15.5 167139.1 135.594 8.091 129.414 119.812 20.773 2309.02316 173155.6 135.375 8.354 129.179 120.236 20.653 2331.857

16.5 179192.6 135.163 8.618 128.955 120.634 20.551 2354.06417 185249.3 134.956 8.882 128.735 121.025 20.468 2376.282

17.5 191325.8 134.755 9.146 128.533 121.443 20.41 2400.04718 197424.1 134.56 9.41 128.358 121.88 20.371 2425.301


145


Draft Disp LCB KB LCF(m) TPCI KMT MCT1cm(m) (t) (m) (m) (m) (t) (m) (tm) 3.25 28222.31 133.461 1.692 139.318 103.856 60.911 1632.9143.75 33466.98 134.364 1.951 139.145 105.344 53.459 1677.2854.25 38776.08 135.007 2.211 138.976 106.452 47.655 1711.8754.75 44136.33 135.479 2.47 138.788 107.402 43.092 1744.97 5.25 49540.18 135.823 2.73 138.473 108.204 39.467 1772.4985.75 54983.43 136.07 2.989 138.185 108.96 36.573 1797.9696.25 60460.91 136.253 3.248 137.999 109.594 34.158 1819.5766.75 65969.39 136.39 3.508 137.8 110.185 32.142 1840.7477.25 71504.73 136.487 3.767 137.491 110.672 30.434 1857.4357.75 77064.52 136.547 4.026 137.14 111.172 29 1875.07 8.25 82648.5 136.576 4.285 136.813 111.628 27.752 1892.5948.75 88255.15 136.581 4.544 136.475 112.077 26.681 1910.5499.25 93883.38 136.563 4.802 136.095 112.484 25.759 1926.3549.75 99531.35 136.526 5.061 135.729 112.865 24.964 1940.795

10.25 105197.5 136.474 5.32 135.393 113.218 24.267 1954.55410.75 110883.7 136.411 5.579 135.111 113.704 23.736 1969.63811.25 116598 136.342 5.838 134.903 114.301 23.331 1987.59711.75 122342.2 136.269 6.098 134.661 114.933 22.98 2008.30712.25 128132.7 136.177 6.359 133.723 116.165 22.671 2069.97812.75 133985 136.045 6.622 132.518 117.276 22.301 2138.80913.25 139888.8 135.867 6.887 131.147 118.306 21.935 2209.28213.75 145834 135.657 7.152 130.457 118.727 21.585 2241.52714.25 151789.4 135.445 7.416 130.03 118.904 21.257 2258.88714.75 157756.3 135.232 7.681 129.647 119.218 21.023 2278.21515.25 163743.6 135.023 7.945 129.363 119.676 20.863 2302.81815.75 169753.3 134.818 8.209 129.121 120.106 20.728 2325.88416.25 175783.9 134.619 8.473 128.898 120.516 20.615 2348.28916.75 181834.7 134.425 8.737 128.678 120.908 20.522 2370.23 17.25 187904.9 134.235 9 128.452 121.303 20.449 2392.69917.75 193995.4 134.05 9.264 128.25 121.717 20.397 2416.523


146


Draft Disp LCB KB LCF(m) TPCI KMT MCT1cm(m) (t) (m) (m) (m) (t) (m) (tm) 3.5 30298.54 131.147 1.813 138.819 104.549 57.756 1653.89 4 35573.57 132.279 2.07 138.744 105.872 51.019 1694.255

4.5 40907.19 133.113 2.328 138.598 106.917 45.754 1728.6015 46290.19 133.74 2.586 138.406 107.849 41.618 1761.352

5.5 51716.49 134.214 2.845 138.111 108.642 38.307 1788.4866 57178.69 134.577 3.104 137.914 109.295 35.581 1810.456

6.5 62672.77 134.861 3.362 137.73 109.92 33.344 1831.9597 68197.34 135.085 3.621 137.522 110.509 31.467 1853.327

7.5 73749.46 135.257 3.88 137.189 111.026 29.876 1871.7538 79326.65 135.38 4.139 136.851 111.499 28.506 1889.44

8.5 84926.93 135.466 4.397 136.517 111.956 27.332 1907.3949 90549.97 135.521 4.656 136.179 112.405 26.326 1925.303

9.5 96194.42 135.549 4.915 135.814 112.803 25.456 1940.59 10 101857.5 135.554 5.174 135.47 113.154 24.692 1954.286

10.5 107538.3 135.541 5.433 135.138 113.527 24.046 1967.99211 113240.9 135.513 5.692 134.87 114.042 23.563 1983.52

11.5 118972 135.477 5.951 134.65 114.647 23.18 2002.29212 124746.7 135.42 6.212 133.75 115.857 22.847 2061.301

12.5 130587.9 135.321 6.475 132.648 117.197 22.552 2132.68913 136491.8 135.178 6.74 131.345 118.329 22.209 2204.787

13.5 142440.5 134.997 7.006 130.557 118.824 21.834 2241.47414 148400.7 134.81 7.271 130.129 118.995 21.474 2258.94

14.5 154370 134.621 7.536 129.696 119.2 21.173 2276.82915 160352.9 134.43 7.8 129.32 119.549 20.964 2297.119

15.5 166356 134.241 8.064 129.065 119.977 20.813 2319.95916 172380.2 134.056 8.328 128.839 120.389 20.686 2342.378

16.5 178424.5 133.875 8.592 128.623 120.79 20.582 2364.44917 184489.1 133.699 8.856 128.395 121.187 20.499 2386.75

17.5 190573.4 133.526 9.12 128.169 121.581 20.433 2409.34 18 196678.1 133.356 9.384 127.939 122.015 20.388 2435.023


147

7.4 CROSS CURVES (KN) TABLES

(Tables 7.13) CROSS CURVES OF STABILITY(KN) TABLES

Trim= -2m (Aft)

Disp(t) 5o 10o 15o 20o 30o 40o 50o 60o 70o 80o 25000 4.88 9.28 12.20 13.92 15.97 16.88 17.10 17.35 16.65 15.14 40000 4.034 7.801 10.69 12.67 15.16 16.54 17.219 17.36 16.6 15.02 55000 3.192 6.32 9.189 11.41 14.35 16.19 17.335 17.38 16.5 14.91 70000 2.698 5.394 8.035 10.37 13.69 15.93 17.114 17.12 16.3 14.74 85000 2.385 4.797 7.195 9.486 13.14 15.63 16.704 16.72 15.9 14.54

100000 2.184 4.387 6.596 8.792 12.68 15.18 16.205 16.27 15.6 14.32 115000 2.05 4.099 6.171 8.271 12.25 14.64 15.654 15.78 15.2 14.11 130000 1.952 3.9 5.876 7.89 11.76 14.04 15.071 15.28 14.9 13.89 145000 1.882 3.768 5.673 7.616 11.22 13.4 14.466 14.78 14.5 13.69 160000 1.83 3.677 5.535 7.428 10.65 12.72 13.845 14.27 14.1 13.49 175000 1.799 3.613 5.447 7.253 10.07 12.02 13.208 13.76 13.8 13.29 190000 1.783 3.575 5.388 7.008 9.498 11.32 12.557 13.23 13.4 13.09

(Tables 7.14) CROSS CURVES OF STABILITY(KN) TABLES

Trim= -1.5m (Aft)

Disp(t) 5o 10o 15o 20o 30o 40o 50o 60o 70o 80o 25000 4.88 9.28 12.19 13.91 15.97 16.88 17.10 17.35 16.65 15.14 40000 4.036 7.803 10.69 12.66 15.16 16.54 17.219 17.36 16.6 15.03 55000 3.194 6.323 9.191 11.42 14.35 16.19 17.336 17.38 16.5 14.91 70000 2.7 5.397 8.039 10.37 13.7 15.93 17.117 17.12 16.3 14.74 85000 2.387 4.8 7.2 9.491 13.15 15.63 16.71 16.73 16 14.54

100000 2.185 4.391 6.601 8.798 12.68 15.19 16.212 16.27 15.6 14.33 115000 2.052 4.102 6.176 8.277 12.26 14.65 15.662 15.78 15.2 14.11 130000 1.953 3.904 5.881 7.895 11.77 14.05 15.079 15.29 14.9 13.9 145000 1.885 3.771 5.677 7.621 11.23 13.41 14.475 14.79 14.5 13.69 160000 1.832 3.679 5.538 7.432 10.66 12.73 13.855 14.28 14.1 13.49 175000 1.8 3.615 5.449 7.26 10.09 12.03 13.22 13.77 13.8 13.3 190000 1.783 3.576 5.392 7.018 9.511 11.34 12.571 13.24 13.4 13.1


148

(Tables 7.15)

(Tables 7.16)

CROSS CURVES OF STABILITY(KN) TABLES Trim= -1.0 m (Aft)

Disp(t) 5o 10o 15o 20o 30o 40o 50o 60o 70o 80o 25000 4.88 9.28 12.19 13.91 15.96 16.87 17.10 17.35 16.65 15.1440000 4.037 7.805 10.69 12.66 15.16 16.53 17.219 17.37 16.6 15.0355000 3.196 6.326 9.193 11.42 14.35 16.2 17.336 17.39 16.5 14.9270000 2.701 5.4 8.042 10.37 13.7 15.93 17.12 17.13 16.3 14.7585000 2.388 4.802 7.204 9.496 13.15 15.64 16.715 16.74 16 14.55

100000 2.185 4.394 6.605 8.804 12.68 15.19 16.219 16.28 15.6 14.33115000 2.053 4.105 6.181 8.283 12.26 14.66 15.669 15.79 15.2 14.12130000 1.954 3.907 5.886 7.9 11.78 14.06 15.087 15.3 14.9 13.9145000 1.887 3.773 5.681 7.625 11.24 13.42 14.484 14.8 14.5 13.7160000 1.833 3.681 5.541 7.436 10.67 12.74 13.865 14.29 14.1 13.5175000 1.8 3.616 5.45 7.267 10.1 12.05 13.232 13.78 13.8 13.3190000 1.783 3.576 5.395 7.027 9.523 11.35 12.585 13.25 13.4 13.11

CROSS CURVES OF STABILITY(KN) TABLES Trim= -0.5m (Aft)


100000 2.187 4.397 6.61 8.811 12.69 15.2 16.225 16.28 15.6 14.34115000 2.054 4.108 6.185 8.291 12.27 14.67 15.675 15.8 15.2 14.12130000 1.956 3.911 5.89 7.907 11.79 14.07 15.094 15.3 14.9 13.91145000 1.889 3.777 5.685 7.631 11.25 13.43 14.492 14.8 14.5 13.7160000 1.834 3.685 5.544 7.44 10.68 12.75 13.874 14.3 14.1 13.5175000 1.8 3.618 5.453 7.274 10.11 12.06 13.243 13.79 13.8 13.31190000 1.783 3.576 5.397 7.035 9.533 11.36 12.598 13.27 13.4 13.12


149

(Tables 7.17)

(Tables 7.18)

CROSS CURVES OF STABILITY(KN) TABLES Trim= 0 m (Even keel)


100000 2.188 4.4 6.615 8.817 12.69 15.2 16.23 16.29 15.6 14.35115000 2.055 4.112 6.191 8.297 12.28 14.67 15.682 15.8 15.2 14.13130000 1.959 3.916 5.896 7.913 11.8 14.08 15.101 15.31 14.9 13.91145000 1.891 3.78 5.689 7.636 11.26 13.44 14.499 14.81 14.5 13.71160000 1.836 3.687 5.547 7.444 10.69 12.76 13.882 14.3 14.2 13.51175000 1.801 3.621 5.455 7.28 10.12 12.07 13.253 13.79 13.8 13.31190000 1.784 3.577 5.398 7.042 9.543 11.38 12.61 13.28 13.4 13.12

CROSS CURVES OF STABILITY(KN) TABLES Trim= 0.5 m (For’d)


100000 2.19 4.403 6.62 8.823 12.7 15.21 16.235 16.29 15.6 14.35115000 2.056 4.116 6.197 8.304 12.28 14.68 15.687 15.81 15.3 14.13130000 1.961 3.919 5.901 7.919 11.8 14.08 15.107 15.31 14.9 13.92145000 1.893 3.783 5.694 7.642 11.27 13.44 14.505 14.81 14.5 13.71160000 1.838 3.689 5.551 7.449 10.7 12.77 13.889 14.31 14.2 13.51175000 1.802 3.623 5.457 7.283 10.13 12.08 13.261 13.8 13.8 13.32190000 1.784 3.578 5.4 7.047 9.552 11.39 12.62 13.28 13.4 13.13


150

(Tables 7.19)

(Tables 7.20)



100000 2.191 4.407 6.626 8.83 12.7 15.21 16.239 16.3 15.6 14.35115000 2.058 4.12 6.204 8.312 12.28 14.68 15.692 15.81 15.3 14.14130000 1.964 3.923 5.907 7.927 11.81 14.09 15.112 15.32 14.9 13.92145000 1.895 3.787 5.699 7.648 11.28 13.45 14.511 14.82 14.5 13.71160000 1.84 3.692 5.555 7.455 10.71 12.78 13.896 14.32 14.2 13.52175000 1.803 3.625 5.46 7.287 10.13 12.09 13.268 13.81 13.8 13.32190000 1.785 3.58 5.402 7.051 9.559 11.39 12.629 13.29 13.4 13.13



100000 2.192 4.41 6.631 8.836 12.71 15.22 16.243 16.3 15.6 14.36115000 2.059 4.124 6.21 8.319 12.29 14.69 15.696 15.82 15.3 14.14130000 1.966 3.927 5.913 7.934 11.82 14.09 15.117 15.32 14.9 13.92145000 1.897 3.79 5.704 7.654 11.28 13.45 14.517 14.82 14.5 13.72160000 1.841 3.694 5.559 7.46 10.72 12.78 13.903 14.32 14.2 13.52175000 1.804 3.627 5.463 7.29 10.14 12.09 13.275 13.82 13.8 13.33190000 1.785 3.582 5.403 7.055 9.565 11.4 12.638 13.3 13.5 13.14


151

(Tables 7.21)



100000 2.194 4.413 6.637 8.844 12.71 15.22 16.247 16.3 15.6 14.36115000 2.059 4.129 6.216 8.326 12.29 14.69 15.7 15.82 15.3 14.14130000 1.969 3.932 5.919 7.941 11.82 14.1 15.121 15.33 14.9 13.93145000 1.9 3.794 5.709 7.661 11.29 13.46 14.521 14.83 14.5 13.72160000 1.843 3.697 5.563 7.464 10.72 12.79 13.907 14.33 14.2 13.53175000 1.806 3.629 5.466 7.292 10.15 12.1 13.281 13.82 13.8 13.33190000 1.786 3.584 5.404 7.056 9.57 11.41 12.645 13.31 13.5 13.14


152

5

10

15

20

30

4050

60

70

80

25000 40000 55000 70000 85000 100000 115000 130000 145000 160000 175000 190000

DISP (t)

2.5

5.0

7.5

10.

12.5

15

17.5

Fig 7.1 CROSS CURVES (EVEN KEEL CONDITION)

.


153

7.5 COMPUTATIONS OF IMO ENVELOP

1) The area under the righting lever (GZ) curve shall not be less than 0.055

m-radians upto an angle of heel of 30°.

i.e ∫30

0

GZ dθ = 0.055 m-rad.

But for an angle of θ, righting lever is given by GZ = KN – KG Sinθ

∫30

0

(KN – KG Sinθ) dθ = 0.055

∫30

0

KN dθ - ∫30

0

KG Sinθ dθ = 0.055

∫30

0

KN dθ - KG ∫30

0

KG Sinθ dθ = 0.055

KG = ∫ −30

0

055.0θdKN

∫30

0

θθ dSin

KG1 = ∫ −30

0

055.0θdKN m Condition (1)

1 – Cos30 (2) The area under the righting lever (GZ) curve shall not be less than 0.09 m-radians to an angle of either 40° or an angle of (θf) (Flooding angle) if that be less

∫40

0

GZ dθ = 0.09 m – radians (assuming Flooding angle (θf) is more than

40°) Similarly as above, we can arrive at

KG2 = ∫ −∂40

0

09.0θKN m Condition (2)

1 – Cos40


154

COMPUTATIONS OF IMO ENVELOP The area under the righting lever (GZ) curve shall not be less than 0.03 m-radians between the angles of heel of 30° and 40° or between 30 and (θf) degrees, if it is less than 40 degrees Assuming (θf) (Flooding angle) is more than 40°

KG3 = ∫ −40

30

03.0θdKN m Condition (3)

Cos30 – Cos40 4) The maximum righting lever (GZ) shall be at least 0.2 metre at an angle of heel

equal to or greater than 30° i.e. GZ at 30° = 0.20m KG4 = KN30 – 0.20 Condition (4) Sin30 5) Maximum righting lever (GZ) should occur at an angle exceeding 30° but not less than 25° (say maximum righting lever (GZ) occur at 25°) ∂ (GZ) 25 = 0 ∂θ ∂ (KN – KG Sinθ) 25 = 0 ∂ θ ∂ KN 25 – KG∂ Sinθ) 25 = 0 ∂ θ ∂ θ KG = ∂ KN 1 ∂θ Cos25 KG5 = KN30 – KN20 1 Condition (5) 10 * π Cos25 180 6) The initial metacentric height shall be not less than 0.15 metre GM = 0.15 m KMT - KG = 0.15 m KG6 = KMT – 0.15 m


155

(Tables 7.22) COMPUTATIONS OF IMO ENVELOP

DISP KMT KG1 KG2 KG3 KG4 KG5 KG6 KGmax GMminTRIM – 2.0m (For’d)

25000 66.23 41.39 35.69 28.11 31.54 12.96 66.08 12.96 53.2740000 46.13 36.99 32.78 27.21 29.92 15.76 45.98 15.76 30.375500 52.59 32.58 29.88 26.31 28.29 18.54 52.44 18.54 34.05

70000 30.74 29.37 27.74 25.60 26.99 21.03 30.59 21.03 9.718500 40.98 26.91 26.07 25.00 25.89 23.13 40.83 23.13 17.85

100000 24.83 25.12 24.75 24.30 24.95 24.55 24.68 24.30 0.53115000 23.53 23.70 23.64 23.60 24.10 25.15 23.38 23.38 0.15130000 22.40 22.58 22.61 22.70 23.12 24.48 22.25 22.25 0.15145000 21.37 21.76 21.63 21.50 22.04 22.78 21.22 21.22 0.15160000 20.90 21.09 20.73 20.30 20.90 20.37 20.75 20.30 0.60175000 20.60 20.41 19.83 19.10 19.75 17.83 20.45 17.83 2.77190000 20.41 19.74 18.94 17.90 18.60 15.74 20.26 15.74 4.67

(Tables 7.23) COMPUTATIONS OF IMO ENVELOP

DISP KMT KG1 KG2 KG3 KG4 KG5 KG6 KGmax GMminTRIM - 1.5m (For’d)

25000 65.72 41.39 35.69 28.11 31.54 13.02 65.57 13.02 52.7040000 46.41 36.99 32.78 27.21 29.91 15.77 46.26 15.77 30.645500 36.43 32.58 29.92 26.41 28.29 18.54 36.28 18.54 17.89

70000 30.75 29.37 27.74 25.60 26.99 21.02 30.60 21.02 9.738500 27.21 26.98 26.07 24.90 25.90 23.12 27.06 23.12 4.09

100000 25.14 25.12 24.75 24.30 24.96 24.54 24.99 24.30 0.84115000 23.51 23.70 23.64 23.60 24.11 25.16 23.36 23.36 0.15130000 22.43 22.65 22.61 22.60 23.14 24.50 22.28 22.28 0.15145000 21.39 21.76 21.67 21.60 22.06 22.82 21.24 21.24 0.15160000 20.93 21.09 20.73 20.30 20.92 20.42 20.78 20.30 0.63175000 20.60 20.49 19.83 19.00 19.77 17.87 20.45 17.87 2.73190000 20.41 19.74 18.98 18.00 18.62 15.76 20.26 15.76 4.65


156

(Tables 7.24)

(Tables 7.25)

COMPUTATIONS OF IMO ENVELOP DISP KMT KG1 KG2 KG3 KG4 KG5 KG6 KGmax GMmin

TRIM - 1.0 m (For’d) 25000 66.87 41.39 35.69 28.11 31.52 12.96 66.72 12.96 53.9140000 46.46 36.99 32.78 27.21 29.91 15.77 46.31 15.77 30.69

5500 36.44 32.58 29.92 26.41 28.30 18.54 36.29 18.54 17.9070000 30.81 29.37 27.74 25.60 26.99 21.01 30.66 21.01 9.80

8500 27.24 26.98 26.07 24.90 25.90 23.11 27.09 23.11 4.13100000 24.84 25.12 24.75 24.30 24.97 24.52 24.69 24.30 0.54115000 23.51 23.70 23.68 23.70 24.13 25.16 23.36 23.36 0.15130000 22.47 22.65 22.65 22.70 23.16 24.53 22.32 22.32 0.15145000 21.41 21.76 21.67 21.60 22.08 22.85 21.26 21.26 0.15160000 20.94 21.09 20.77 20.40 20.95 20.47 20.79 20.40 0.54175000 20.61 20.49 19.88 19.10 19.80 17.90 20.46 17.90 2.71190000 20.41 19.82 18.98 17.90 18.65 15.78 20.26 15.78 4.63


TRIM - 0.5m (For’d) 25000 66.54 41.39 35.65 28.01 31.52 13.02 66.39 13.02 53.5240000 46.57 36.99 32.78 27.21 29.91 15.77 46.42 15.77 30.805500 36.55 32.58 29.92 26.41 28.30 18.54 36.40 18.54 18.01

70000 30.84 29.37 27.78 25.70 27.00 21.01 30.69 21.01 9.838500 27.25 26.98 26.12 25.00 25.91 23.10 27.10 23.10 4.15

100000 24.87 25.12 24.79 24.40 24.98 24.51 24.72 24.40 0.47115000 23.50 23.77 23.68 23.60 24.14 25.15 23.35 23.35 0.15130000 22.50 22.65 22.65 22.70 23.18 24.54 22.35 22.35 0.15145000 21.46 21.83 21.71 21.60 22.10 22.88 21.31 21.31 0.15160000 20.94 21.09 20.77 20.40 20.97 20.51 20.79 20.40 0.54175000 20.62 20.49 19.88 19.10 19.82 17.92 20.47 17.92 2.70190000 20.41 19.82 19.02 18.00 18.67 15.79 20.26 15.79 4.62


157

(Tables 7.26)

(Tables 7.27)


TRIM - 0 m 25000 67.35 41.39 35.65 28.01 31.52 13.02 67.20 13.02 54.3340000 46.73 36.99 32.78 27.21 29.90 15.78 46.58 15.78 30.955500 36.57 32.58 29.92 26.41 28.30 18.54 36.42 18.54 18.03

70000 30.86 29.45 27.78 25.60 27.00 21.01 30.71 21.01 9.858500 27.30 26.98 26.12 25.00 25.92 23.09 27.15 23.09 4.21

100000 24.89 25.19 24.79 24.30 24.98 24.50 24.74 24.30 0.59115000 23.49 23.77 23.68 23.60 24.15 25.15 23.34 23.34 0.15130000 22.55 22.65 22.70 22.80 23.19 24.55 22.40 22.40 0.15145000 21.50 21.83 21.71 21.60 22.12 22.90 21.35 21.35 0.15160000 20.95 21.16 20.77 20.30 20.99 20.55 20.80 20.30 0.65175000 20.62 20.49 19.92 19.20 19.84 17.94 20.47 17.94 2.68190000 20.42 19.82 19.02 18.00 18.69 15.81 20.27 15.81 4.61


TRIM - 0.5 m (Aft ) 25000 67.11 41.39 35.65 28.01 31.50 13.02 66.96 13.02 54.0940000 46.64 36.99 32.78 27.21 29.90 15.78 46.49 15.78 30.865500 36.65 32.58 29.92 26.41 28.30 18.54 36.50 18.54 18.11

70000 30.93 29.45 27.78 25.60 27.01 21.01 30.78 21.01 9.928500 27.32 26.98 26.12 25.00 25.92 23.08 27.17 23.08 4.24

100000 24.92 25.19 24.79 24.30 24.99 24.49 24.77 24.30 0.62115000 23.49 23.77 23.72 23.70 24.16 25.14 23.34 23.34 0.15130000 22.58 22.73 22.70 22.70 23.21 24.56 22.43 22.43 0.15145000 21.58 21.83 21.71 21.60 22.14 22.92 21.43 21.43 0.15160000 20.96 21.16 20.82 20.40 21.01 20.57 20.81 20.40 0.56175000 20.63 20.49 19.92 19.20 19.85 17.98 20.48 17.98 2.65190000 20.42 19.82 19.02 18.00 18.70 15.84 20.27 15.84 4.58


158

(Tables 7.28)

(Tables 7.29)


TRIM - 1.0 m (Aft ) 25000 66.60 41.31 35.65 28.11 31.48 13.02 66.45 13.02 53.5840000 46.81 36.99 32.78 27.21 29.89 15.78 46.66 15.78 31.035500 36.71 32.58 29.92 26.41 28.30 18.54 36.56 18.54 18.17

70000 30.94 29.45 27.78 25.60 27.01 21.00 30.79 21.00 9.948500 27.36 27.06 26.12 24.90 25.93 23.07 27.21 23.07 4.29

100000 24.95 25.19 24.79 24.30 25.00 24.48 24.80 24.30 0.65115000 23.48 23.77 23.72 23.70 24.17 25.12 23.33 23.33 0.15130000 22.57 22.73 22.70 22.70 23.22 24.55 22.42 22.42 0.15145000 21.63 21.83 21.76 21.70 22.15 22.93 21.48 21.48 0.15160000 20.97 21.16 20.82 20.40 21.02 20.58 20.82 20.40 0.57175000 20.64 20.56 19.92 19.10 19.87 18.00 20.49 18.00 2.64190000 20.43 19.82 19.06 18.10 18.72 15.85 20.28 15.85 4.58


TRIM - 1.5m (Aft ) 25000 67.57 41.31 35.65 28.11 31.48 13.02 67.42 13.02 54.5540000 46.80 36.99 32.78 27.21 29.88 15.79 46.65 15.79 31.015500 36.72 32.58 29.92 26.41 28.29 18.55 36.57 18.55 18.17

70000 31.02 29.45 27.78 25.60 27.01 20.99 30.87 20.99 10.038500 27.39 27.06 26.16 25.00 25.93 23.06 27.24 23.06 4.33

100000 24.97 25.19 24.83 24.40 25.01 24.46 24.82 24.40 0.57115000 23.49 23.85 23.72 23.60 24.18 25.10 23.34 23.34 0.15130000 22.60 22.73 22.74 22.80 23.23 24.55 22.45 22.45 0.15145000 21.68 21.91 21.76 21.60 22.16 22.94 21.53 21.53 0.15160000 20.99 21.16 20.82 20.40 21.03 20.59 20.84 20.40 0.59175000 20.65 20.56 19.96 19.20 19.88 18.02 20.50 18.02 2.63190000 20.44 19.82 19.06 18.10 18.73 15.87 20.29 15.87 4.57


159

(Tables 7.30)

.


TRIM - 2.0 m (Aft ) 25000 67.12 41.31 35.61 28.01 31.46 13.02 66.97 13.02 54.1040000 46.86 36.99 32.74 27.11 29.88 15.80 46.71 15.80 31.065500 36.82 32.66 29.92 26.31 28.29 18.55 36.67 18.55 18.27

70000 31.06 29.45 27.78 25.60 27.01 20.99 30.91 20.99 10.078500 27.41 27.06 26.16 25.00 25.94 23.05 27.26 23.05 4.36

100000 25.02 25.19 24.83 24.40 25.02 24.43 24.87 24.40 0.62115000 23.49 23.85 23.72 23.60 24.18 25.07 23.34 23.34 0.15130000 22.62 22.80 22.74 22.70 23.24 24.54 22.47 22.47 0.15145000 21.73 21.91 21.76 21.60 22.18 22.93 21.58 21.58 0.15160000 21.01 21.16 20.86 20.50 21.05 20.60 20.86 20.50 0.51175000 20.66 20.56 19.96 19.20 19.89 18.04 20.51 18.04 2.62190000 20.45 19.89 19.06 18.00 18.74 15.89 20.30 15.89 4.56


160

7.6 STEP BY STEP GUIDE TO THE TRIM AND STABILITY CALCULATIONS

Step - 1 Identify the loading condition and associated deadweight items and the

centres of gravity (KG & LCG).

Step - 2 Displacement for this condition along with the vertical (KG) and

longitudinal (LCG) centre of gravity is given by the sum of deadweight

items and the Lightship weight

Step - 3 Determine the LCB, T, & LCF from the hydrostatics tables and above

parameters w.r.t to the corresponding trim.

Step - 4 From the above graphs read off the trim at which LCB = LCG and also

the corresponding LCF & T. This is the trim at which the ship will float in

equilibrium. Cross check the displacement & LCB at this trim & draft

and continue the iteration till sufficient accuracy of results are obtained

satisfying the conditions -Total Weight of the ship = Displacement and

LCG=LCB .

Step - 5 From the trim obtained by the above calculate the draft forward and

draft aft.

Step-6 Metacentric Height (GM) is given by the difference between KMt &KG

and expressed as GM = KMt – KG(m).

Step-7 Applying Free Surface correction for partially filled tanks to get the

final GM

G0 M = GM – GG0. .

Step – 8 The GM obtained through the above calculations should satisfy the

maximum permissible KG min permissible GM as specified by the IMO

criteria for intact stability.

Step – 9 The metacentric height calculated above is valid for smaller angles of

heel. For larger angles of heel the righting lever (GZ) is to be

considered.


161

Step – 10 From the GZ values obtained for the different angles of heel plot a

curve of Angle of Heel versus GZ. From this curve calculate the areas

under different angles to satisfy the IMO intact stability criteria

Step – 11 Finally, the weather criteria as per IMO requirements is to be found

satisfactory for different loading conditions.

7.7 TANK POSITIONS AND CAPACITIES

Determination of COG of Cargo holds

(Tables 7.31) S.No. Item Fr.No. Weight LCG VCG TCG FSM

(98%vol) m m m tm 1 CH1(P) 70-114 13526.12 69.77 13.53 -10.43 15475.162 CH1(S) 70-114 13526.12 69.77 13.53 10.43 15475.163 CH2(P) 114-164 15901.85 109.25 13.45 -10.69 18504.954 CH2(S) 114-164 15901.85 109.25 13.45 10.69 18504.955 CH3(P) 164-209 14311.66 149.63 13.45 -10.69 16654.466 CH3(S) 164-209 14311.66 149.63 13.45 10.69 16654.467 CH4(P) 209-259 15621.22 189.63 13.45 -10.69 18178.398 CH4(S) 209-259 15621.22 189.63 13.45 10.69 18178.399 CH5(P) 259-314 12344.41 225.39 13.43 -9.32 13350.1110 CH5(S) 259-314 12344.41 225.39 13.43 9.32 13350.1111 Slop tank(P) 64-70 1722.05 50.99 13.84 -9.86 210.4312 Slop tank(S) 64-70 1722.05 50.99 13.84 9.86 210.43


162

Determination of COG of ballast tank

(Tables 7.33)

S.No. Item Fr.No. Weight LCG VCG TCG FSM t(98%vol) m m m tm 1 Aft peak tank(s) AE -16 1026.48 -5.63 18.96 -7.26 696.392 Aft peak tank(s) AE -16 1026.48 -5.63 18.96 7.26 696.393 Wing ballast tank1(P) 64-70 298.33 50.96 12.49 -20.85 12.474 Wing ballast tank1(S) 64-70 298.33 50.96 12.49 20.85 12.475 Wing ballast tank2(P) 70-114 2390.57 73.20 12.50 -21.18 37.306 Wing ballast tank2(S) 70-114 2390.57 73.20 12.50 21.18 37.307 Wing ballast tank3(P) 114-164 2933.79 113.15 12.50 -21.18 47.578 Wing ballast tank3(S) 114-164 2933.79 113.15 12.50 21.18 47.579 Wing ballast tank4(P) 164-209 2640.41 153.53 12.50 -21.18 42.81

10 Wing ballast tank4(S) 164-209 2640.41 153.53 12.50 21.18 42.8111 Wing ballast tank5(P) 209-259 2882.01 193.53 12.50 -21.18 46.7312 Wing ballast tank5(S) 209-259 2882.01 193.53 12.50 21.18 46.7313 Wing ballast tank6(P) 259-314 2575.32 233.25 13.01 -18.12 41.2614 Wing ballast tank6(S) 259-314 2575.32 233.25 13.01 18.12 41.2615 Ballast tank 1(P) 131-164 1694.27 119.65 1.54 -11.19 3791.3616 Ballast tank 1(S) 131-164 1694.27 119.65 1.54 11.19 3791.3617 Ballast tank 2(P) 164-209 2553.50 153.53 1.54 -11.29 6007.2318 Ballast tank 2(S) 164-209 2553.50 153.53 1.54 11.29 6007.2319 Ballast tank 3(P) 209-259 2787.16 193.53 1.54 -11.29 6556.9120 Ballast tank 3(S) 209-259 2787.16 193.53 1.54 11.29 6556.9121 Ballast tank 4(P) 259-314 2070.92 228.34 1.56 -18.12 4390.3622 Ballast tank 4(S) 259-314 2070.92 228.34 1.56 18.12 4390.3623 FP tank(P) 314-fe 1258.82 257.31 9.14 -3.88 1034.5124 FP tank(S) 314-fe 1258.82 257.31 9.14 3.88 1034.51


163

Determination of COG of Consumable.

(Tables 7.32) S.No Item Fr.No. Weight LCG VCG TCG FSM

(98%vol) m m m tm 1 HFO tank1(P) 21-46 370.87 23.72 2.28 -5.18 476.06 2 HFO tank1(S) 21-46 370.87 23.72 2.28 5.18 476.06 3 HFO tank 2(P) 67-70 114.98 50.05 1.60 -8.21 82.29 4 HFO tank 2(S) 67-70 114.98 50.05 1.60 8.21 82.29 5 HFO tank3(P) 70-114 2045.06 71.64 1.57 -9.91 4654.40 6 HFO tank3(S) 70-114 2045.06 71.64 1.57 9.91 4654.40 7 HFO tank4(P) 114-131 798.39 95.20 1.54 -11.19 1855.6 8 HFO tank4(S) 114-131 798.39 95.20 1.54 11.19 1855.6 9 Boiler fuel tank1(P) 59-64 176.62 44.10 1.90 -7.56 350.44 10 Boiler fuel tank1(S) 59-64 176.62 44.10 1.90 7.56 350.44 11 Diesel oil tank 1(P) 46-59 371.19 35.90 2.28 -5.18 662.15 12 Diesel oil tank 1(S) 46-59 371.19 35.90 2.28 5.18 662.15 13 Lo tank(P) 64-67 108.93 47.47 1.60 -8.21 82.29 14 Lo tank(s) 64-67 108.93 47.47 1.60 8.21 82.29 15 Waste water tank (P) 9---21 64.90 8.38 4.00 -2.25 2.86 16 Waste water tank(S) 9---21 64.90 8.38 4.00 2.25 2.86 17 Fresh water tank (P) 9---21 15.68 8.38 10.20 3.10 1.68 18 Fresh water tank(S) 9---21 15.68 8.38 10.20 3.10 1.68


164

7.8 DETAILED TRIM AND STABILITY CALCULATIONS This is calculated and compared for both the full load and ballast conditions

According to IMO a ship has to be examined for the following four loading conditions. 1) Ship in the fully loaded departure condition, with cargo homogeneously

distributed throughout all cargo spaces and with full stores and cargo. 2) Ship in the fully loaded arrival condition, with cargo homogeneously distributed

throughout all cargo spaces and with 10 % stores. 3) Ship in ballast in the departure condition, without cargo but with full stores and

fuel. 4) Ship in ballast in the arrival condition, without cargo and with 10 % stores and

fuel remaining.

Trim calculations are based upon capacity and longitudinal position of centre of gravity. Apart from conditions stated above, the following conditions in MARPOL also have to be satisfied.

1) The moulded draught amidships(dm) in meters (without taking into consideration any ship’s deformation) shall not be less than: dm = 2.0 + 0.02L; dm = 6.58 m

2) The draughts at the forward and after perpendiculars shall correspond to those determined by the draught amidships (dm), in association with the trim by the stern of not greater than 0.015L.


165

LOADING CONDITION - 1

FULLY LOADED DEPARURE CONDITION SL.NO ITEM WEIGHT LCG L.MOM VCG V.MOM FSM

t m tm m tm tm1 CREW & EFFECT 5.76 36.89 212.49 30.78 177.29 0.00

2 PROVISION STORE 9.97 36.89 367.79 28.00 279.16 0.00

3 CH1(P) 13526.12 69.77 943717.31 13.53 183008.39 15475.16

4 CH1(S) 13526.12 69.77 943717.31 13.53 183008.39 15475.16

5 CH2(P) 15901.85 109.25 1737276.57 13.45 213879.82 18504.95

6 CH2(S) 15901.85 109.25 1737276.57 13.45 213879.82 18504.95

7 CH3(P) 14311.66 149.63 2141453.77 13.45 192491.83 16654.46

8 CH3(S) 14311.66 149.63 2141453.77 13.45 192491.83 16654.46

9 CH4(P) 15621.22 189.63 2962252.76 13.45 210105.47 18178.39

10 CH4(S) 15621.22 189.63 2962252.76 13.45 210105.47 18178.39

11 CH5(P) 12344.41 225.39 2782305.71 13.4 165785.38 13350.11

12 CH5(S) 12344.41 225.39 2782305.71 13.4 165785.38 13350.11

13 HFO tank1(p) 370.87 23.72 8797.11 2.28 845.60 476.0614 HFO tank1(s) 370.87 23.72 8797.11 2.28 845.60 476.0615 HFO tank2(p) 114.98 50.05 5754.67 1.60 184.52 82.2916 HFO tank2(s) 114.98 50.05 5754.67 1.60 184.52 82.2917 HFO tank 3(p) 2045.06 71.64 146509.43 1.57 3213.03 4654.4018 HFO tank 3(s) 2045.06 71.64 146509.43 1.57 3213.03 4654.4019 HFO tank4(p) 798.39 95.20 76006.57 1.54 1232.13 1855.6620 HFO tank4(s) 798.39 95.20 76006.57 1.54 1232.13 1855.6621 Boiler fuel tank1(P) 176.62 44.10 7789.65 1.90 334.73 350.4422 Boiler fuel tank1(S) 176.62 44.10 7789.65 1.90 334.73 350.4423 Diesel oil tank 1(P) 332.12 35.90 11923.00 2.28 757.24 662.1524 Diesel oil tank 1(S) 332.12 35.90 11923.00 2.28 757.24 662.1525 lo tank(P) 108.93 47.47 5170.76 1.60 174.81 82.2926 lo tank(s) 108.93 47.47 5170.76 1.60 174.81 82.2927 Waste water tank (P) 64.90 8.38 543.62 4.00 259.58 2.8628 Waste water tank (S) 64.90 8.38 543.62 4.00 259.58 2.8629 Fresh water tank(P) 15.68 8.38 131.35 10.2 159.94 1.6830 Fresh water tank(S) 15.68 8.38 131.40 10.2 159.94 1.6831 Aft peak tank(P) 400.00 -5.63 -2253.72 18.96 7584.76 696.39

32 Aft peak tank(S) 400.00 -5.63 -2253.72 18.96 7584.76 696.39

33 Ice load 395.2 146.37 57845.42 24.39 9638.93 0.00

TOTAL 152676.52 142.22 21713182.87 12.90 1970129.8 182054.57


166

LOADING CONDITION -1

FULLY LOADED DEPARURE CONDITION

DEADWEIGHT 152676.52 142.22 21713182.87 12.90 1970129.84 182054.57LIGHTSHIP WEIGHT 31694.80 107.46 3405923.21 12.63 400305.32 0.00

DISPLACEMENT 184371.32 136.24 25119106.08 12.86 2370435.16 182054.57

DISPLACEMENT 184371.32 t

VERTICAL CENTRE OF GRAVITY (KG/VCG) 12.86 m

LONGITUDINAL CENTRE OF GRAVITY (LCG) 136.24 m

LONGITUDINAL CENTRE OF BUOYANCY (LCB) 136.24 m

FROM HYDROSTATICS THE TRIM IS 1.90 cm

CORRESPONDING MEAN DRAFT 16.86 m

LONGITUDINAL CENTRE OF FLOTATION (LCF) 129.14 m

MOMENT TO CHANGE TRIM BY 1cm (MCT1cm) 2361.41 tm

METACENTRIC RADIUS (KMT) 20.47 m

BASELINE DRAFT AFT (TAFT) 16.87 m

BASELINE DRAFT FORD (TFORD) 16.85 m

DRAFT AFT AT DRAFT MARKS 16.87 m

DRAFT FOR'D AT DRAFT MARKS 16.85 m

TRANSVERSE METACENTRIC HEIGHT (GMT) GMT = KMT - KG 7.61 m

FREE SURFACE (FSM) CORRECTION (GG0) GG0 = FSM/DISP 0.99 m

CORRECTED METACENTRE (G0MT) G0MT = GMT - GG0 6.62 m VERTICAL CENTRE OF GRAVITY WITH FSM (KG0) KG0 = KG + GG0 13.85 m

RIGHTING ARM LEVER (G0Z) G0Z = KN - KG0 * SIN(θ) m


167

LOADING CONDITION -1

FULLY LOADED DEPARURE CONDITION

ANGLE (°) 5° 10° 20° 30° 40° 50° 60°

SIN(θ) 0.09 0.17 0.34 0.5 0.64 0.77 0.87

KN (m) 1.79 3.59 7.14 9.78 11.66 12.88 13.49

G0Z (m) 0.55 1.25 2.45 2.89 2.83 2.26 1.49 AREA UNDER CURVE UPTO 300 0.90 m radians

AREA UNDER CURVE UPTO 400 1.39 m radians

AREA UNDER CURVE BETWEEN 300 & 400 0.49 m radians

MAXIMUM RIGHTING LEVER (G0Z) 2.92 m

ANGLE AT WHICH MAX G0Z OCCURS 33.60 degrees

PROJECTED LATERAL WINDAGE AREA (A) 2247.40 m2

COG OF WINDAGE AREA ABOVE HALF DRAFT (Z) 13.71 m

STEADY WIND HEELING LEVER (lw1) 0.01 m

GUST WIND HEELING LEVER (lw2) 0.02 m

ANGLE OF HEEL DUE TO WIND (θ0) 0.16 degrees

ANGLE OF ROLL (θ1) 18.66 degrees

GUST WIND LEVER 2ND INTERCEPT (θc) 75.20 degrees

ADOPTED UPPER LIMIT FOR AREA (b) (θ2) 40.41 degrees

ANGLE OF DOWNFLOODING (θf) 40.41 degrees

ANGLE OF DECK EDGE IMMERSION (θd) 25.84 degrees

NET AREA BELOW GUST WIND HEELING ARM "a" 0.38 m radians

NET AREA ABOVE GUST WIND HEELING ARM "b" 1.42 m radians


168

LOADING CONDITION -1 FULLY LOADED DEPARURE CONDITION

30

θ

0.4

3.6

3.2

2.8

2.4

2.0

1.6

1.2

0.8

ANGLE OF HEEL(deg)

RIG

HTI

NG

LEV

ER G

Z (m

)

80706050402015105

4.4

4.8

4.0

θ

θ

θ

Fig 7.2

.


169

LOADING CONDITION-2

FULLY LOADED ARRIVAL CONDITION (50% STORE) SL.NO ITEM WEIGHT LCG L.MOM VCG V.MOM FSM

t m tm m tm tm 1 CREW & EFFECT 5.76 36.89 212.49 30.78 177.29 0.00

2 PROVISION STORE 4.90 36.89 180.76 28.00 137.20 0.00

3 CH1(P) 13526.12 69.77 943717.31 13.53 183008.39 15475.16

4 CH1(S) 13526.12 69.77 943717.31 13.53 183008.39 15475.16

5 CH2(P) 15901.85 109.25 1737276.57 13.45 213879.82 18504.95

6 CH2(S) 15901.85 109.25 1737276.57 13.45 213879.82 18504.95

7 CH3(P) 14311.66 149.63 2141453.77 13.45 192491.83 16654.46

8 CH3(S) 14311.66 149.63 2141453.77 13.45 192491.83 16654.46

9 CH4(P) 15621.22 189.63 2962252.76 13.45 210105.47 18178.39

10 CH4(S) 15621.22 189.63 2962252.76 13.45 210105.47 18178.39

11 CH5(P) 12344.41 225.39 2782305.71 13.43 165785.38 13350.11

12 CH5(S) 12344.41 225.39 2782305.71 13.43 165785.38 13350.11

13 Slop tank(P) 861.00 50.99 43902.02 13.84 11916.24 210.43

14 Slop tank(S) 861.00 50.99 43902.02 13.84 11916.24 210.43 15 HFO tank1(P) 185.44 23.72 4398.56 2.28 422.80 476.06 16 HFO tank1(S) 185.44 23.72 4398.56 2.28 422.80 476.06 17 HFO tank2(P) 57.49 50.05 2877.34 1.60 92.26 82.29 18 HFO tank2(S) 57.49 50.05 2877.34 1.60 92.26 82.29 19 HFO tank 3(P) 1022.53 71.64 73254.71 1.57 1606.52 4654.40 20 HFO tank 3(S) 1022.53 71.64 73254.71 1.57 1606.52 4654.40 21 HFO tank4(P) 399.19 95.20 38003.29 1.54 616.06 1855.66 22 HFO tank4(S) 399.19 95.20 38003.29 1.54 616.06 1855.66 23 Boiler fuel tank1(P) 88.31 44.10 3894.82 1.90 167.36 350.44 24 Boiler fuel tank1(S) 88.31 44.10 3894.82 1.90 167.36 350.44 25 Diesel oil tank 1(P) 166.06 35.90 5961.55 2.28 378.62 662.15 26 Diesel oil tank 1(S) 166.06 35.90 5961.55 2.28 378.62 662.1527 lo tank(P) 54.46 47.47 2585.38 1.60 87.40 82.29 28 lo tank(S) 54.46 47.47 2585.38 1.60 87.40 82.29 29 Waste water tank (P) 32.45 8.38 271.81 4.00 129.79 2.86 30 Waste water tank (S) 32.45 8.38 271.81 4.00 129.79 2.86 31 Fresh water tank(P) 7.84 8.38 65.67 10.20 79.97 1.68 32 Fresh water tank(S) 7.84 8.38 65.70 10.20 79.97 1.68 33 Aft peak tank(P) 825.00 -5.63 -4648.30 18.96 15643.56 696.39 34 Aft peak tank(S) 825.00 -5.63 -4648.30 18.96 15643.56 696.39

35 Ice load 395.2 146.37 57845.42 24.39 9638.93 0.00

TOTAL 151215.91 142.40 21533384.64 13.24 2002776.36 182475.43


170

LOADING CONDITION-2 FULLY LOADED ARRIVAL CONDITION (50% STORE)

DEADWEIGHT 151215.91 142.40 21533384.64 13.24 2002776.36 182475.43

LIGHTSHIP WEIGHT 31694.80 107.46 3405923.21 12.63 400305.32 0.00DISPLACEMENT 182910.71 136.35 24939307.85 13.14 2403081.68 182475.43



LONGITUDINAL CENTRE OF GRAVITY (LCG) 136.35 m

LONGITUDINAL CENTRE OF BUOYANCY (LCB) 136.35 m

FROM HYDROSTATICS THE TRIM IS -2.30 cm

CORRESPONDING MEAN DRAFT 16.74 m

LONGITUDINAL CENTRE OF FLOTATION (LCF) 129.21 m







TRANSVERSE METACENTRIC HEIGHT (GMT) 7.35 m

FREE SURFACE (FSM) CORRECTION (GG0) 1.00 m

CORRECTED METACENTRE (G0MT) 6.35 m

VERTICAL CENTRE OF GRAVITY WITH FSM (KG0) 14.14 m

RIGHTING ARM LEVER (G0Z) G0Z = KN - KG0 * SIN(θ) m

ANGLE (°) 5° 10° 20° 30° 40° 50° 60°

SIN(θ) 0.09 0.17 0.34 0.5 0.64 0.77 0.87

KN (m) 1.79 3.60 7.17 9.85 11.74 12.95 13.55

G0Z (m) 0.52 1.19 2.36 2.77 2.68 2.05 1.23


171

LOADING CONDITION-2 FULLY LOADED ARRIVAL CONDITION (50% STORE)






PROJECTED LATERAL WINDAGE AREA (A) 2280.95 m2 COG OF WINDAGE AREA ABOVE HALF DRAFT (Z) 13.69 m








ANGLE OF DECK EDGE IMMERSION (θd) 26.15 degrees NET AREA BELOW GUST WIND HEELING ARM "a" 0.36 m radians NET AREAABOVE GUST WIND HEELING ARM "b" 1.36 m radians


172

LOADING CONDITION-2

FULLY LOADED ARRIVAL CONDITION (50% STORE)

30

θ

0.4

3.6

3.2

2.8

2.4

2.0

1.6

1.2

0.8

ANGLE OF HEEL(deg)

RIG

HTI

NG

LEV

ER G

Z (m

)

80706050402015105

4.4

4.8

4.0

θ

θ

θ

Fig 7.3


173

LOADING CONDITION - 3 BALLAST DEPARTURE CONDITION (50% STORE)

SL.NO ITEM WEIGHT LCG L.MOM VCG V.MOM FSM t m tm m tm tm 1 2 3 4 5 6 7 8

1 CREW & EFFECT 5.76 36.89 212.49 30.78 177.29 0.00

2 PROVISION STORE 4.90 36.89 180.76 28.00 137.20 0.003 HFO tank1(p) 185.44 23.72 4398.56 2.28 422.80 476.064 HFO tank1(s) 185.44 23.72 4398.56 2.28 422.80 476.065 HFO tank2(p) 57.49 50.05 2877.34 1.60 92.26 82.296 HFO tank2(s) 57.49 50.05 2877.34 1.60 92.26 82.297 HFO tank 3(p) 1022.53 71.64 73254.71 1.57 1606.52 4654.408 HFO tank 3(s) 1022.53 71.64 73254.71 1.57 1606.52 4654.409 HFO tank4(p) 399.19 95.20 38003.29 1.54 616.06 1855.6610 HFO tank4(s) 399.19 95.20 38003.29 1.54 616.06 1855.6611 Boiler fuel tank1(P) 88.31 44.10 3894.82 1.90 167.36 350.4412 Boiler fuel tank1(S) 88.31 44.10 3894.82 1.90 167.36 350.4413 Diesel oil tank 1(P) 166.06 35.90 5961.55 2.28 378.62 662.1514 Diesel oil tank 1(S) 166.06 35.90 5961.55 2.28 378.62 662.1515 lo tank(P) 54.46 47.47 2585.38 1.60 87.40 82.2916 lo tank(s) 54.46 47.47 2585.38 1.60 87.40 82.2917 Waste water tank (P) 32.45 8.38 271.81 4.00 129.79 2.8618 Waste water tank (S) 32.45 8.38 271.81 4.00 129.79 2.8619 Fresh water tank(P) 7.84 8.38 65.67 10.20 79.97 1.6820 Fresh water tank(S) 7.84 8.38 65.70 10.20 79.97 1.6821 Aft peak tank(P) 300.00 -5.63 -1690.29 18.96 5688.57 696.3922 Aft peak tank(s) 300.00 -5.63 -1690.29 18.96 5688.57 696.3923 Wing ballast tank1(P) 298.33 50.96 15203.46 12.49 3724.64 12.4724 Wing ballast tank1(S) 298.33 50.96 15203.46 12.49 3724.64 12.4725 Wing ballast tank2(P) 2390.57 73.20 174989.93 12.50 29882.16 37.3026 Wing ballast tank2(S) 2390.57 73.20 174989.93 12.50 29882.16 37.3027 Wing ballast tank3(P) 2933.79 113.15 331957.89 12.50 36672.33 47.5728 Wing ballast tank3(S) 2933.79 113.15 331957.89 12.50 36672.33 47.5729 Wing ballast tank4(P) 2640.41 153.53 405368.55 12.50 33005.09 42.8130 Wing ballast tank4(S) 2640.41 153.53 405368.55 12.50 33005.09 42.8131 Wing ballast tank5(P) 2882.01 193.53 557741.63 12.50 36025.17 46.7332 Wing ballast tank5(S) 2882.01 193.53 557741.63 12.50 36025.17 46.7333 Wing ballast tank6(P) 2575.32 233.25 600695.03 13.01 33498.24 41.2634 Wing ballast tank6(S) 2575.32 233.25 600695.03 13.01 33498.24 41.2635 Ballast tank 1(P) 1694.27 119.65 202719.89 1.54 2614.72 3791.36


174

36 Ballast tank 1(S) 1694.27 119.65 202719.89 1.54 2614.72 3791.3637 Ballast tank 2(P) 2553.50 153.53 392026.42 1.54 3932.39 6007.2338 Ballast tank 2(S) 2553.50 153.53 392026.42 1.54 3932.39 6007.2339 Ballast tank 3(P) 2787.16 193.53 539384.36 1.54 4292.22 6556.9140 Ballast tank 3(S) 2787.16 193.53 539384.36 1.54 4292.22 6556.9141 ballast tank 4(P) 2070.92 228.34 472882.25 1.56 3232.91 4390.3642 Ballast tank 4(S) 2070.92 228.34 472882.25 1.56 3232.91 4390.3643 FP tank(P) 1258.82 257.31 323902.48 9.14 11508.25 1034.5144 FP tank(S) 1258.82 257.31 323902.48 9.14 11508.25 1034.51

45 Sloptank(P) 861.00 50.99 43902.02 13.84 11916.24 210.43

46 Sloptank(S) 861.00 50.99 43902.02 13.84 11916.24 210.43

47 Ice load 395.2 146.37 57845.42 24.39 9638.93 0.00

TOTAL 54925.62 153.64 8439032.20 8.18 449100.84 62166.26

DEADWEIGHT 54925.62 153.64 8439032.20 8.18 449100.84 62166.26

LIGHTSHIP

WEIGHT 31694.80 107.46 3405923.21 12.63 400305.32 0.00 DISPLACEMENT 86620.42 136.75 11844955.41 9.81 849406.16 62166.26


VERTICAL CENTRE OF GRAVITY (KG/VCG) 9.81 m LONGITUDINAL CENTRE OF GRAVITY (LCG) 136.75 m LONGITUDINAL CENTRE OF BUOYANCY (LCB) 136.75 m


CORRESPONDING MEAN DRAFT 8.60 m LONGITUDINAL CENTRE OF FLOTATION (LCF) 136.60 m MOMENT TO CHANGE TRIM BY 1cm (MCT1cm) 1906.03 tm





DRAFT FOR'D AT DRAFT MARKS 7.89 m TRANSVERSE METACENTRIC HEIGHT (GMT) GMT = KMT - KG 17.07 m FREE SURFACE (FSM) CORRECTION (GG0) GG0 = FSM/DISP 0.72 m

CORRECTED METACENTRE (G0MT) G0MT = GMT - GG0 16.35 m VERTICAL CENTRE OF GRAVITY WITH FSM (KG0) KG0 = KG + GG0 10.53 m


175

LOADING CONDITION – 3 BALLAST DEPARTURE CONDITION (50% STORE)

ANGLE (°) 5° 10° 20° 30° 40° 50° 60°

SIN(θ) 0.09 0.17 0.34 0.5 0.64 0.77 0.87

KN (m) 2.38 4.77 9.45 13.12 15.60 16.68 16.71

G0Z (m) 1.43 2.98 5.87 7.86 8.86 8.57 7.55

AREA UNDER CURVE UPTO 300 2.25m radians

AREA UNDER CURVE UPTO 400 3.72m radians

AREA UNDER CURVE BETWEEN 300 & 400 1.47m radians











ANGLE OF DECK EDGE IMMERSION (θd) 31.81 degrees NET AREA BELOW GUST WIND HEELING ARM "a" 0.80

m radians

NET AREA ABOVE GUST WIND HEELING ARM "b" 5.19

m radians


176

LOADING CONDITION – 3 BALLAST DEPARTURE CONDITION (50% STORE)

30

θ

0.8

7.2

6.4

5.6

4.8

4.0

3.2

2.4

1.6

ANGLE OF HEEL(deg)

RIG

HTI

NG

LEV

ER G

Z (m

)

80706050402015105

8.8

9.6

8.0

θ

θ

θ

Fig 7.4


177

LOADING CONDITION - 4

BALLAST ARRIVAL CONDITION (10% STORE) SL.NO ITEM WEIGHT LCG L.MOM VCG V.MOM FSM

t m tm m tm tm 1 2 3 4 5 6 7 8

1 CREW & EFFECT 5.76 36.89 212.49 30.78 177.29 0.00

2 PROVISION STORE 0.98 36.89 36.15 28.00 27.44 0.003 HFO tank1(p) 37.09 23.72 879.71 2.28 84.56 476.064 HFO tank1(s) 37.09 23.72 879.71 2.28 84.56 476.065 HFO tank2(p) 11.50 50.05 575.47 1.60 18.45 82.296 HFO tank2(s) 11.50 50.05 575.47 1.60 18.45 82.297 HFO tank 3(p) 204.51 71.64 14650.94 1.57 321.30 4654.408 HFO tank 3(s) 204.51 71.64 14650.94 1.57 321.30 4654.409 HFO tank4(p) 79.84 95.20 7600.66 1.54 123.21 1855.6610 HFO tank4(s) 79.84 95.20 7600.66 1.54 123.21 1855.6611 Boiler fuel tank1(P) 17.66 44.10 778.96 1.90 33.47 350.4412 Boiler fuel tank1(S) 17.66 44.10 778.96 1.90 33.47 350.4413 Diesel oil tank 1(P) 33.21 35.90 1192.24 2.28 75.72 662.1514 Diesel oil tank 1(S) 33.21 35.90 1192.24 2.28 75.72 662.1515 lo tank(P) 10.89 47.47 517.08 1.60 17.48 82.2916 lo tank(s) 10.89 47.47 517.08 1.60 17.48 82.2917 Waste water tank (P) 6.49 8.38 54.36 4.00 25.96 2.8618 Waste water tank (S) 6.49 8.38 54.36 4.00 25.96 2.8619 Fresh water tank(P) 1.57 8.38 13.13 10.20 15.99 1.6820 Fresh water tank(S) 1.57 8.38 13.14 10.20 15.99 1.6821 Aft peak tank(P) 600.00 -5.63 -3380.58 18.96 11377.13 696.3922 Aft peak tank(s) 600.00 -5.63 -3380.58 18.96 11377.13 696.3923 Wing ballast tank1(P) 298.33 50.96 15203.46 12.49 3724.64 12.4724 Wing ballast tank1(S) 298.33 50.96 15203.46 12.49 3724.64 12.4725 Wing ballast tank2(P) 2390.57 73.20 174989.93 12.50 29882.16 37.3026 Wing ballast tank2(S) 2390.57 73.20 174989.93 12.50 29882.16 37.3027 Wing ballast tank3(P) 2933.79 113.15 331957.89 12.50 36672.33 47.5728 Wing ballast tank3(S) 2933.79 113.15 331957.89 12.50 36672.33 47.5729 Wing ballast tank4(P) 2640.41 153.53 405368.55 12.50 33005.09 42.8130 Wing ballast tank4(S) 2640.41 153.53 405368.55 12.50 33005.09 42.8131 Wing ballast tank5(P) 2882.01 193.53 557741.63 12.50 36025.17 46.7332 Wing ballast tank5(S) 2882.01 193.53 557741.63 12.50 36025.17 46.7333 Wing ballast tank6(P) 2575.32 233.25 600695.03 13.01 33498.24 41.2634 Wing ballast tank6(S) 2575.32 233.25 600695.03 13.01 33498.24 41.2635 Ballast tank 1(P) 1694.27 119.65 202719.89 1.54 2614.72 3791.36


178

36 Ballast tank 1(S) 1694.27 119.65 202719.89 1.54 2614.72 3791.3637 Ballast tank 2(P) 2553.50 153.53 392026.42 1.54 3932.39 6007.2338 Ballast tank 2(S) 2553.50 153.53 392026.42 1.54 3932.39 6007.2339 Ballast tank 3(P) 2787.16 193.53 539384.36 1.54 4292.22 6556.9140 Ballast tank 3(S) 2787.16 193.53 539384.36 1.54 4292.22 6556.91

41 Ballast tank 4(P) 2070.92 228.34 472882.25 1.56 3232.91 4390.3642 Ballast tank 4(S) 2070.92 228.34 472882.25 1.56 3232.91 4390.3643 FP tank(P) 1258.82 257.31 323902.48 9.14 11508.25 1034.5144 FP tank(S) 1258.82 257.31 323902.48 9.14 11508.25 1034.51

45 Slop tank(P) 1722.00 50.99 87804.04 13.84 23832.48 210.43

46 Slop tank(S) 1722.00 50.99 87804.04 13.84 23832.48 210.43

47 Ice load 395.2 146.37 57845.42 24.39 9638.93 0.00

TOTAL 54021.66 153.89 8313209.87 8.86 478471.40 62166.26

DEADWEIGHT 54021.66 153.89 8313209.87 8.86 478471.40 62166.26

LIGHTSHIP

WEIGHT 31694.80 107.46 3405923.21 12.63 400305.32 0.00 DISPLACEMENT 85716.46 136.72 11719133.08 10.25 878776.72 62166.26



LONGITUDINAL CENTRE OF GRAVITY (LCG) 136.72 m LONGITUDINAL CENTRE OF BUOYANCY (LCB) 136.72 m


CORRESPONDING MEAN DRAFT 8.52 m LONGITUDINAL CENTRE OF FLOTATION (LCF) 136.63 m







TRANSVERSE METACENTRIC HEIGHT (GMT) GMT = KMT - KG 16.86 m

FREE SURFACE (FSM) CORRECTION (GG0) GG0 = FSM/DISP 0.73 m

CORRECTED METACENTRE (G0MT) G0MT = GMT - GG0 16.13 m

VERTICAL CENTRE OF GRAVITY WITH FSM (KG0)

KG0 = KG + GG0 10.98 m

RIGHTING ARM LEVER (G0Z) G0Z = KN - KG0 m


179

* SIN(θ)

LOADING CONDITION – 4 BALLAST ARRIVAL CONDITION (10% STORE)

ANGLE (°) 5° 10° 20° 30° 40° 50° 60° 70

SIN(θ) 0.09 0.17 0.34 0.5 0.64 0.77 0.87 0.94

KN (m) 2.39 4.80 9.49 13.15 15.63 16.72 16.74 15.97

G0Z (m) 1.40 2.93 5.76 7.66 8.60 8.27 7.19 5.65














ANGLE OF DECK EDGE IMMERSION (θd) 31.96 degrees NET AREA BELOW GUST WIND HEELING ARM "a" 1.33 m radians NET AREA BELOW GUST WIND HEELING ARM "b" 5.06 m radians


180

LOADING CONDITION – 4

BALLAST ARRIVAL CONDITION (10% STORE)

30

θ

0.8

7.2

6.4

5.6

4.8

4.0

3.2

2.4

1.6

ANGLE OF HEEL(deg)

RIG

HTI

NG

LEV

ER G

Z (m

)

80706050402015105

8.8

9.6

8.0

θ

θ

θ

Fig 7.5


181

SUMMARY RESULTS OF ALL LOADING CONDITIONS (Tables 7.34)

SL. NO DESCRIPTION UNIT LOADING CONDITIONS

LC - 1 LC - 2 LC - 3 LC - 4 1 Lighship weight t 31694.80 31694.80 31694.80 31694.80

2 Deadweight t 152676.52 151215.91 54925.62 54021.66

3 Displacement t 184371.32 182910.71 86620.42 85716.46

4 VCG m 12.86 13.14 9.81 10.25

5 LCG m 136.24 136.35 136.75 136.72

6 LCB m 136.24 136.35 136.75 136.72

7 Trim cm 1.90 -2.30 142.30 143.60

8 Mean Draft (T) m 16.86 16.74 8.60 8.52

9 LCF m 129.14 129.21 136.60 136.63

10 MCT1cm t.m 2361.41 2355.33 1906.03 1902.31

11 KMT m 20.47 20.49 26.88 27.11

12 GMT m 7.61 7.35 17.07 16.86

13 GG0 m 0.99 1.00 0.72 0.73

14 G0MT m 6.62 6.35 16.35 16.13

15 Area upto 300 m

rad 0.90 0.88 2.25 2.21

16 Area upto 400 m

rad 1.39 1.35 3.72 3.63

17 Area between 300 & 400 m

rad 0.49 0.47 1.47 1.42

18 Max G0Z m 2.92 2.79 8.94 8.66

19 Angle at max G0Z deg 33.60 33.15 41.33 41.64

20 Windage Area (A) m2 2247.40 2280.95 4421.77 4441.91

21 COG of windage area (Z) m 13.71 13.69 13.24 13.24

22 Steady wind heeling lever (lw1) m 0.01 0.01 0.03 0.04

23 Gust wind heeling lever (lw2) m 0.02 0.02 0.05 0.06

24 Angle of heel due to wind (θ0) deg 0.16 0.16 0.21 0.21

25 Angle of roll (θ1) deg 18.66 18.82 17.48 22.74

26 Gust wind 2nd intercept (θc) deg 75.20 72.80 99.06 100.15

27 Adopted upper limit (θ2) deg 40.41 40.78 50.00 50.00

28 Angle of downflooding (θf) deg 40.41 40.78 57.11 57.22

29 Angle of deck immersion (θd) deg 25.84 26.15 31.81 31.96

30 Area "a" m

rad 0.38 0.36 0.80 1.33

31 Area "b" m

rad 1.42 1.36 5.19 5.06


182

Documents

capacity and trim