stability check

Stability Calculation Sasha

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TABLE OF DEADWEIGHT CONSTANTS

ITEM Weight VCG Vert LCG Long FSM

Mom Mom

Tonnes M T-M M T-M T-M

Item 1 0.00 0.000 0.00 0.00 0.00 0.00

Item 2 0.00 0.00 0.00 0.00 0.00 0.00

Item 3 0.00 0.00 0.00 0.00 0.00 0.00

Total 0.00 #DIV/0! 0.00 #DIV/0! 0.00 0.00


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0.00

2.00

4.00

6.00

8.00

10.00

12.00GZ Curve


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0

2

4

6

8

10

12


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TANK CAPACITY TABLE

# TANK LOCATION SP. WEIGHT VOLUME VCG LCGDESCRIPTION GR. T M^3 M M

FUEL OIL TANKS

1 FRESH WATER TANK PORT 1.000 59.130 59.130 2.150 3.300FR.26 - FR.33

2 FUEL OIL TANK STBD 0.840 48.676 59.130 2.150 3.300FR.26 - FR.33

3 NO. 1 W.B.TANK PORT 1.025 72.80 71.02 2.350 14.240FR.7 - FR.15

4 NO. 1 W.B.TANK STBD 1.025 72.80 71.02 2.350 14.240FR.7 - FR.15

5 NO. 2 W.B.ANK PORT 1.025 41.88 40.860 2.540 18.760AP - FR.7

6 NO. 2 W.B.TANK STBD 1.025 41.88 40.860 2.540 18.760AP - FR.7

NOTE: Capacities of F.O.Tanks are 98% of their maximum capacities

31.803


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FSI FSMM^4 T-M

11.150 11.150

11.150 9.366

31.800 32.595

31.800 32.595

27.830 28.53 98.000

27.830 28.53 98.000


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Item Weight VCG Vert LCG Long FSM Mom Mom

Tonnes M T-M M T-M T-M

FRESH WATER TANK 59.13 2.15 127.13 3.30 195.13 11.15

FUEL OIL TANK 48.68 2.15 104.65 3.30 160.63 9.37

NO. 1 B.W.TANK (P) 72.80 2.35 171.07 14.24 1036.61 32.60

NO. 1 B.W.TANK (S) 72.80 2.35 171.07 14.24 1036.61 32.60

NO. 2 B.W.TANK (P) 41.88 2.54 106.38 18.76 785.70 28.53

NO. 2 B.W.TANK (S) 41.88 2.54 106.38 18.76 785.70 28.53

DEADWEIGHT CONSTS. 0.00 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.00

SHIP STORE & PROVISIONS 2.00 2.80 5.60 -6.80 -13.60 -----

Deck Cargo

LOAD ON THE CRANE 125.00 0.00 0.00 -----

LIGHTSHIP 1707.00 9.860 ### -2.810 -4796.67 -----

LIGHTSHIP( with out crane part) 1008.04 4.860 4899.07 -0.140 -141.13 -----

CRANE PART 698.96 17.070 ### -6.660 -4655.07 -----

GENERAL PARTICULARS

LOA 90.00 MLBP 90.00 MBREADTH 28.00 MDEPTH 6.25 MDRAFT 2.83 M 3.408LIGHTSHIP 1640.00 TLCG 0.000 MVCG 6.250 Mfr. spacing 3.00 MDownflooding Angle Deg

Item Area Lever Moment height start end Sq.M M T-M m fr.no fr.no

Hull upto Main Dk. 562.50 3.13 1757.81


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Upper Deck 0.00 5.75 0.00 3.00 39

Crane Part 500.00 50.00 ###

Misc Fittings 200.00 7.00 1400

Total Moment

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0 0 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00


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0

0.000

###

###


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Stability Calculation for Barges

This is a worked out examples which can also be used as a spread sheet for calcultion of stability the actual sheets for submission to clients (if required) are available before named condition

INPUTS REQUIRED :-

Length of Barge 90.00 metres

Width of Barge 28.00 metres

Depth of Barge 6.25 metres

PARTICULARS AT THE LOAD WATER LINE :-

Length of Barge 90.00 metres

Width of Barge 28.00 metres

Draft of Barge 2.33 metres

If applicable give the length and width of the largest tank for worst case and give number of tanks

where free surface is applicable as below :-

FREE SURFACE EFFECT:-

Length of Tank 5.00 metres

Width of Tank 5.00 metres

No :of Tanks 1.00


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Condition # 1 : DEPARTURE WITH CRANE AND EQUIPMENT Name of the condition

Item Weight VCG Vert LCG Long TCG Trans FSM

Mom Mom Mom

Tonnes M T-M M T-M M T-M T-M

CRANE 850.00 50.00 42500.00 0.00 0.00 0.00 0.00 Weight of cargoes like crane,deck cargo,equipment etc TOWER 30.00 42.00 1260.00 20.00 600.00 0.00 0.00 their LCG,VCG & FSM (if applicable)MISC ITEMS 1494.00 7.00 10458.00 7.60 11354.40 0.00 0.00 FSM = FSI*specific gravityBALLAST

NO. 2 W.B.TANK (PORT) 650.00 3.13 2034.50 -22.50 -14625.00 10.00 6500.00 640.00 Weight of ballastNO. 2 W.B.TANK (STBD) 650.00 3.13 2034.50 -22.50 -14625.00 -10.00 -6500.00 640.00 their LCG,VCG & FSM (if applicable)NO. 5 W.B.TANK (STBD) 195.00 3.13 610.35 22.50 4387.50 -10.00 -1950.00 FSM = FSI*specific gravityNO. 6 W.B.TANK (CEN) 90.00 3.13 281.70 37.50 3375.00 0.00 0.00

NO. 6 W.B.TANK (STBD) 425.00 3.13 1330.25 37.50 15937.50 -10.00 -4250.00 640.00

LIGHTSHIP 1640.00 6.25 10250.00 0.00 0.00 0.00 0.00 Lightship particulars should be taken fromInclining Exp. Report,Draft Survey Report,Stability Booklet

DISPLACEMENT 6024.00 11.75 70759.30 1.06 6404.40 -1.03 -6200.00 1920.00

If FSM is available then input in the corresponding spaces or calculate taking the maximum tank size filledthis can be obtained by the formulaFSM = FSI*specific gravityFSI = 625.00FSM = 640.63 T-M

150.547

From HYDROSTATICS

Hydrostatic Particulars Drafts & Trims These values should be taken from the hydrostatic curvesMCT1Cm 114.55 T 2.83 M MCT = WxGML/100L (GML can be assumed as BML) LCF 0.63 M Draft (Aft) 2.99 M LCF - Logitudinal center of floatationLCB 0.45 M Draft (Fwd) 2.66 M LCB - Logitudinal center of buoyancyTPCm T/Cm TPC - Water plane area x 1.025/100Metacentric Height KMT = KB + BMTKMt 24.82 M KB - Vertical Center of buoyancyKG 11.75 M BMT = I/VolumeKGo 12.06 M KG - Vertical center of gravity GoMt 12.76 M Trim 0.32 M

MeanDraft

KG0 - Vertical center of gravity with FSM correction


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Trim = (LCG - LCB)*DISP/MCT*100


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If hydrostatic tables or curves are not available then we can use the values below to fill in the corresponding boxes above

MCT = WxGML/100L (GML can be assumed as BML)

1701000

BML = 289.43

MCT = 193.72 T

LCF = 0.00 M

LCB = 0.00 M

TPC = 25.83 T/Cm

KMt = KB + BMT

KB = 1.17 M

###

BMT = 26.66 M

KMt = 27.83 M

Please note that the above values are based on the assumption the size of the barge is a regular pontoon

and the waterline is taken correctly considering the forward and aft cut,if the shape is ship shape then this

values will be incorrect that should be taken from the hydrostatic curves or tables which can be computed

using softwares like stabcaad,neptune etc.

Also please note that the assumption of BML over GML will not be applicable for complicated shapes like

columns,semi submersibles

LCG,LCB,LCF are with respect to the midship of the barge(LBP/2)

The boxes above can be updated using these values and intial GM can be calculated

BML = IL/Volume

IL

BMT = IT/Volume

IT

G0MT = KMT - KG0


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Condition # 1 : DEPARTURE WITH CRANE AND EQUIPMENT

Displacement 6024.00 T

VCG 12.06 M

GoMt 12.76 M

0 10 20 30 40 50 Angle of Heel in degress

KN M 0.00 4.63 7.57 8.14 8.02 7.52 These values should be taken from the KN (Cross Curves) table

0.00 2.10 4.13 6.03 7.76 9.24

1.03 1.01 0.97 0.89 0.79 0.66

GZ M -1.03 1.52 2.48 1.22 -0.52 -2.38

Windarm M 0.64 0.63 0.60 0.56 0.49 0.41

KN values can be taken from the existing KN table,calculating manually like hydrostatics is a time consuming process

which is not worth for a project,also nowadays KN is not calculated manually anywhere, there are

softwares like staabcad,neptune etc available in the market, a basic version of this will be more than enough

for computing KN for barges since the shape is regular

If KN table is not available use some basic software and compute it (make a data base of KN tables or some regular sizes

so that can be used for immediate solutions)The effect of TCG should also be considered for GZ calculation

KG Sin(q) M KG Sin q

TCG Cos(q) M TCG Cos(q)

GZ = KN - KG Sin q - TCG Cos(q)

Lever due to the effect of wind = Wind moment*Cosq/Disp


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Wind heeling lever calculation

Item Area Lever Moment

M Wind heeling lever calculation

Hull upto Main Dk. 308.25 3.13 963.28 - find the area exposed to wind above water line

Crane Part 1000.00 48.59 48587.50 - find the distance between the centriod of the area and VCBMisc Fittings 200.00 5.59 1117.50

1508.25 33.59 50668.28

Wind Force 115.02 T Find Wind Force,Wind Moment as per IMOWind Moment 3863.96 T-M Annex - Code on Intact StabilityWind Heeling Lever (lw1) 0.641 M Resolution A.749(18)

page 255 in IMO resolutions

Wind Force & Wind moment calculations can be done refering the IMO regulations book as explained in the side notesthe shape coefficient differ for different type of shapes like flat,curved etc.Anyhow the above formula used to calculate is sufficient enough to calculate the wind heeling leversince this is used for the worst case scenarioIn case any critical issue comes up we can use IMO resolution


IMO - Code on Intact StabilityResolution A.749(18)page 255 in IMO resolutionsChapter 4.7 Pontoonspage 287 in IMO resolutions A.749(18)

M2 M3

0 10 20 30 40 50

-1.00

0.00

1.00

2.00

3.00


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0 10 20 30 40 50

-1.00

0.00

1.00

2.00

3.00


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Max GZ 3.50 M Occurs at 20.00 Deg Maximum GZ and the angle of maximum GZ

Criteria Area UPTO maximum GZ,this can be calculated by SimpsonisingArea upto Angle of Max.GZ 0.571 M-RAD 0.08 M-RAD GZ till the angle of maximum GZ

Range of Stability 41.00 Deg 20.00 Deg Angle till which GZ is positive

Angle of 1/2 Freeboard immersion (a) 6.98 Deg a > b

Static Angle of Heel (b) 6.50 Deg Angle of intersection of GZ and wind arm lever

carrying only deck cargo,having a block coefficient of 0.9 or greater,having B/D ratio greater than 3.0having no hatchways in the deck except small manholes closed with gasketed coversIf we see the above case the barge is carrying underdeck cargo (ballast),this makes the pontoon criteria invalidbut since all the other requirements are complied,this pontoon criteria can be applied with a note on ballast

Criteria Chapter 3.1 General Intact Stability Criteria for all ships page 264 in IMO resolutions A.749(18)

Area upto 30 deg 0.86 M-RAD 0.055 M-RAD Area upto 30 deg can be calculated by Simpsonising

Area upto 40 deg 0.89 M-RAD 0.090 M-RAD Area upto 40 deg can be calculated by Simpsonising

Area Betn. 30 deg-40 deg 0.03 M-RAD 0.030 M-RAD Difference of the above two

Maximum GZ 2.50 M 0.20 M Maximum GZ

Angle of Maximum GZ 20 Deg. 25 Deg. Angle of maximum GZ

If we see the above results the criteria is violated (angle of maximum GZ)this is because the barges generally have the max GZ angle at around 15-20 degHence putting all these things into consideration,we can use pontoon criteria with a noteof all these aspects

Angle of 1/2 FB immersion = tan-1((1/2Freeboard)/(1/2Breadth))

The above is stability criteria for pontoons.A pontoon is considered normally to be non-self-propelled,unmanned,


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Item Weight VCG Vert LCG Long TCG

Mom Mom

Tonnes M T-M M T-M M

CRANE 850.00 50.00 42500.00 0.00 0.00 0.00

TOWER 30.00 42.00 1260.00 20.00 600.00 0.00

BALLAST

NO. 2 W.B.TANK (PORT) 650.00 3.13 2034.50 -22.50 -14625.00 10.00

NO. 2 W.B.TANK (STBD) 650.00 3.13 2034.50 -22.50 -14625.00 -10.00

NO. 5 W.B.TANK (STBD) 195.00 3.13 610.35 22.50 4387.50 -10.00

NO. 6 W.B.TANK (CEN) 90.00 3.13 281.70 37.50 3375.00 0.00

NO. 6 W.B.TANK (STBD) 425.00 3.13 1330.25 37.50 15937.50 -10.00

MISC ITEMS 1494.00 7.00 10458.00 7.60 11354.40 o

LIGHTSHIP 1640.00 6.25 10250.00 0.00 0.00 0.00

DISPLACEMENT 6024.00 11.75 70759.30 1.06 6404.40 #VALUE!

From HYDROSTATICS

Hydrostatic Particulars Drafts & Trims

MCT1Cm 114.55 T 2.83 M

LCF 0.63 Draft (Aft) 2.99 M

LCB 0.45 M Draft (Fwd) 2.66 M

TPCm T/Cm

Metacentric Height

KMt 24.82 M

KG 11.75 M

KGo 11.97 M

GoMt 12.85 M Trim 0.32 M

MeanDraft


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Displacement 6024.00 T

VCG 11.97 M

GM 12.85 M

Righting Arm Curve

0 10 20 30 40 50

KN M 0.00 4.63 7.57 8.14 8.02 7.52

0.00 2.08 4.09 5.98 7.69 9.17

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

GZ M #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

Windarm M 0.46 0.46 0.44 0.40 0.35 0.30

Calculation of Wind heeling

Item Area Lever Moment

M

Hull upto Main Dk. 308.25 3.13 963.28

Crane Part 1000.00 48.59 48587.50

Misc Fittings 200.00 5.59 1117.50

1508.25 33.59 50668.28

Wind Force 83.03 T

Wind Moment 2789.29 T-M

Wind Heeling Lever (lw1) 0.463 M

KG Sin(q) M

TCG Sin(q) M

M2 M3


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Max GZ 3.50 M Occurs at 20.00 Deg

Criteria

Area upto Angle of Max.GZ #VALUE! M-RAD 0.08 M-RAD

Range of Stability 41.00 Deg 20.00 Deg

Angle of 1/2 Freeboard immersion (a) 6.98 Deg a > b

Static Angle of Heel (b) 6.00 Deg

Area upto 30 deg #VALUE! M-RAD

Area upto 40 deg #VALUE! M-RAD

Area Betn. 30 deg-40 deg #VALUE! M-RAD

Maximum GZ 3.50 M 20 Deg.

0 10 20 30 40 50

-1.00

0.00

1.00

2.00

3.00

4.00

5.00


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D

Trans FSM % SUB

Mom PERCENTAGE TOTALS

T-M T-M %

0.00

0.00 100.00

100.00

6500.00 440.00 0.00

-6500.00 440.00 0.00

-1950.00 0.00

0.00 0.00

-4250.00 440.00 100.00

100.00

#VALUE! 0.00

100.00 1.00

DW.CO= 0.00

0.00 86.00 100.00

#VALUE! 1320.00 0.00

crane 698.96 17.166 11998.35 -10.00 -6989.60

c&l 823.96 23.486 19351.52 -10.00 -8239.60

load 125.000 58.825 7353.177 -10.000 -1250.000

4168.600

4176.000

condition type D/A


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0.820 1.700 1.830 1.980 0.821 0.821

0.8519 0.410 0.850 0.915 0.990 0.411 0.411 0.000

ORD GZ SIM PROD

0 0.00 1 0.00

5 0.82 4 3.28

10 1.70 2 3.40

15 1.83 4 7.32

20 1.98 2 3.96

17.96

H 5.000


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AREA 29.933

0.522


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TEMPLATE GROSS REQD

SUBTOTS. % % Slack/Pressed Full

0.00 S

0.00 1.00 0.00

#VALUE!

stability check

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