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Ship Stability and Buoyancy Analysis

This document contains calculations and measurements for determining the light ship mass and stability of a sea axe boat. Key details include the boat's length of 8.88 meters, beam of 2.99 meters, windage area of 12 square meters, and desired crew limit of 85 people. An inclining test was performed where the boat was heeled 0.033 radians and its metacentric height was calculated to be 0.335 meters. From this, the light ship mass was determined to be 4000 kg with a longitudinal center of gravity of 1.204 meters.
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0% found this document useful (0 votes)
451 views7 pages

Ship Stability and Buoyancy Analysis

This document contains calculations and measurements for determining the light ship mass and stability of a sea axe boat. Key details include the boat's length of 8.88 meters, beam of 2.99 meters, windage area of 12 square meters, and desired crew limit of 85 people. An inclining test was performed where the boat was heeled 0.033 radians and its metacentric height was calculated to be 0.335 meters. From this, the light ship mass was determined to be 4000 kg with a longitudinal center of gravity of 1.204 meters.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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SEA AXE

DENGE VE YÜZEBİLİRLİK HESAPLARI


Variable Unit VALUE
Design ID
Design Category Intended C
Length of hull LH m 8.880
Beam of hull BH m 2.990
Greatest beam at the waterline (Smaximum waterline beams of all hulls) m 2.650
Maximum Depth m 0.600

Desired Crew Limit CL 85

Windage Area ALV m2 12.000


Plan area for movement of crew AC m2 3.000
Maximum breath of Crew area BC m 1.000
INCLINING TEST LIGHT SHIP CALCULATION
Date 14th June 2022
Place Antalya Balıkçı Barınağı

Lpp = Length between perpendiculars 8.000 m


Lp = Length of pendulus 3.000 m
Dm = Average Deviation 0.100 m
P = Weights moved 0.120 tons
N = Translation distance of the weights 0.750 m
Me = Heling Moment 0.090 txm
Tgq = Average tangent angle deviation 0.033321
θ = Heeling An gle 0.033309 radians
Tpp = Draft at after perp. 0.200 m
Tpr = Draft at fore perp. 0.300 m
Tm = Mean draft 0.250
Dt = Trim (Tpp - Tpr) 0.100
Xf = Dist. C.of G. of waterline to Lpp/2. (+ forward) 0.650 m
D = Displazement of the ship 4.000 tons
Tga = Trim angle tangent (Dt/Lpp) 0.013
cosa = Trim angle cosinus 0.99992
r-a = Metacentric Height 0.6750 m

Free surfaces correction 0.340 m

GMTc = Corrected Metacentric Height 0.335 m


R = Longitudinal metacentric radious 0.700 m
KC = c. of buoyancy height from base line 1.550 m
XC = Abcissa c. of buoyancy from after pp 1.200 m
r = Transversal metacentric radious 1.000 m
KMt = Height transversal metacenter = r + KC 2.550 m
KG = Height c of g. At Inclining Test = KC+(r-(r-a) cosθ) 1.875 m
XG = Longitudinal c. of g. at Inclining Test= XC + (KG - KC) tgtα 1.204 m

From App From C.Line From Base Line


ITEM Weight kg Distance Moment Distance Moment Distance Moment
(m) (kgxm) (m) (kgxm) (m) (kgxm)
Ship at Inclining Test condition 4000 1.204 4816.27 0 0 1.875 7501.497643

WEIGHTS TO BE DEDUCTED
weights of test 0.000 0.000 0.000
0.000 0.000 0.000
0.000 0.000 0.000
0.000 0.000 0.000
0.000 0.000 0.000
0.000 0.000 0.000
0.000 0.000 0.000

TOTAL WEIGHT TO DEDUCT 0.000 0.000 0.000

WEIGTHS TO BE ADDED
0.000 0.000 0.000

0.000 0.000 0.000


0.000 0.000 0.000

TOTAL WEIGHT TO ADD 0.000 0.000 0.000

TOTAL VARIABLE WEIGHTS #DIV/0! 0.000 #DIV/0! 0.000 #DIV/0! 0.000

WEIGHT XG TG ZG
Light craft condition mass 4000 1.204 4816.269 0.000 0.000 1.875 7501.498
ISO 12217-1 NON-SAILING BOATS OF LENGTH GREATER THAN OR EQUAL TO 6m
CALCULATION WORKSHEET No. 1
Design 0

Design Category Intended C Monohull/multihull Monohull


Item Symbol Unit Value Ref.
Length of hull as in ISO 8666 LH m 9 3.3.1
Mass :
Maximum total load 3.4.2
Desired Crew Limit CL - 85 3.5.3
Mass of :
Desired Crew Limit at 85 kg each kg 680
provisions + personal effects kg 30
fresh water kg 200
fuel kg 450
other liquids carried aboard kg 200
stores, spare gear and cargo (if any) kg 5
optional equipment and fittings not included in basic outfit kg 10
inflatable liferaft kg 0
other small boats carried aboard kg 0
margin for future additions kg 5
Maximum total load = sum of above masses mMTL kg 1580 3.4.2
Light craft condition mass mLCC kg 300 3.4.1
Loaded displacemen mass = mLCC + mMTL mLDC kg 1880 3.4.4
Mass of
minimun number of crew according to 3.4.6 kg 150 3.4.6
essential safety equipment [not less tha (LH-2.5)^2] kg 50 3.4.6
non-consumable stores and equipment normally aboard kg 20
Load to be included in Minimum Operating Condition mL kg 220
water ballast in tanks which are notified in the owner's manual
to be filled whenever the boat is afloat
kg 0 3.4.6
inflatable liferaft kg 0 3.4.6
Load to be included in Minimum Operating Condition mL kg 220 3.4.6
Light craft condition mass mLCC kg 300 3.4.1
Mass in the Minimum Operating Condition = mLCC + mL mMOC 520 3.4.7
Is boat sail or non-sail 3.1.2
nominal sail area AS m2 0.000 3.1.2
sail area/displacement ratio = AS/(mLDC)2/3 -- 0.000 3.1.2
CLASIFIED AS [non-sail if AS/(mLDC)2/3 < 0,07] SAIL/NON-SAIL ?

NB : If NON-SAIL, continue using these worksheets, if SAIL, use ISO 12217-2


ISO 12217-1 CALCULATION WORKSHEET No. 2 TEST TO BE APPLIED

Question Answer Ref.


Is boat fully decked (see definition in ref.) YES/NO? NO 3.1.6
Is boat partially decked (see definition in ref.) YES/NO? YES 3.1.7
ratio of mLDC/mMOC (using data from sheet 1) 3.615
If ratio > 1.15, subclause 6.3 is required to be assessed at both mMOC and mLDC 6.31

Item Symbol Unit Value Ref.


Windage Area ALV m2 14.000 3.3.7
Length of hull LH m 8.880 3.3.1
Beam of hull BH m 2.990 3.3.3
Ratio ALV/(LH BH) - 0.527

Choose any ONE of the following options, and use all the worksheets indicated for that option.

Option 1 2 3 4 5 6
categories possible A and B C and D B C and D C and D C and D

decking or covering fully decked fully decked any amount any amount partially decked any amount

offset load test 3 3 3 3 3 3


downflooding openings 4 4 4 4 4 4
donwflooding angle 4a 4a 4a 4a,b 4a
downflooding all boats 4 4 4 4b 4 4
heght test full method 5 5 5 5b 5 5
resistance to waves + wind 6a+6ba 6a+6ba
heel due to wind action 7a,c 7a,c 7a,c 7a,c
flotation test 8 8
flotation material 8 8
SUMMARY 9 9 9 9 9 9
a If the ratio mLDC/mMOC > 1.15, this requirement must be completed and satisfied for BOTH Minimum Operating Condition
AND Loaded Displacement Condition
b This test is not required for boats assessed using option 4 if, during the swamped load test in Worksheet 8, the boat has
been shown to support an equivalent dry mass of one-third more than the maximum total load.
c The application of Worksheet 7 is only required for boats where ALV/(LH BH) >= 1,0

Option selected 5 See comments


ISO 12217-1 CALCULATION WORKSHEET No. 3 OFFSET-LOAD TEST

Calculation of heeling moment for boats with not more than one level:
Item Symbol Unit Value Ref.
Plan area for movement of crew AC m2 3.000 B.3.1. a)
Crew density = CL/(4 AC) CD m-2 7.083 B.3.1. a)
Maximum breath of Crew area BC m 1.000 B.3.1. b)
Crew heeling if CD ≥0,5 = 314 AC BC
MC N-m B.3.1. b)
moment if CD<0,5 = 314CL-BC(1-CD)

Calculation of heeling moment for boats with more than one level:
Crew Number Crew Crew area Crew heeling
Ref.
area of crew density max. Breadth moment
symbol AC N CD BC MC
units m2 -- m-2 m N-m
=N/4AC calculation as
level ≤ 2AC Annex B
≤ 0,5 in table above
highest level B.3.2 a) + b)
next highest level B.3.2. c) + d)
next highest level B.3.2 e) + f)
next highest level B.3.2 g)
total of values of N = CL = 85 total of values of MC = 0.000 B.3.2 g) + h)

Compliance with requirement :


Item Symbol Unit Value Ref.
Equivalent moment in kg-m for test = MC/9,806 942.000
Angle of heel with MC applied ∅O degrees 6.780 6.2

Maximum angle of heel allowed = ∅O® degrees 15.761 6.2

PASS/FAIL? PASS

In addition, for boats using options 5 and 6 :


Requirement : Cat. C>0,11LH Cat. D>0,07LH Value Ref.
least height to waterline (m) 0.977 0.622 1.000 6.2 a) + b)
Design category given : C
ISO 12217-1 CALCULATION WORKSHEET No. 4 DOWNFLOODING
Downflooding Openings :
Question Answer Ref.
Have all appropiate downflooding openings been identified YES/NO YES 6.1.1.1
Do all closing appliances satisfy ISO 12216 ? YES/NO YES 6.1.1.2
Opening type appliances are not fitted below 0,2 m above waterline unless they comply with ISO 9093
or ISO 9094 ? YES/NO
YES 6.1.1.3

Are all openings fitted with closing appliances? (Except openings for ventilation and engine
combustion) YES/NO
NO 6.1.1.5

Categories possible : A or B if all are YES, C or D if first three are YES C or D 6.1.1

Downflooding Openings :
Item Symbol Unit Value Ref,
Required value : (where ∅O = angle from offset load test) 6.1.3
Category A = larger of (∅O + 25º) or 30º ∅D(R) degrees Table 3
Category B= larger of (∅O + 15º) or 25º ∅D(R) degrees Table 3
Category C = larger of (∅O + 5º) or 20º ∅D(R) degrees 20.000 Table 3
Category D = ∅O ∅D(R) degrees Table 3
Area of openings permitted to be sumerged = 50LH^2 mm2 3942.720 6.1.3

Actual downflooding Angle : at mass = mMOC ∅D degrees 19.000 6.1.3


If ratio of mLDC/mMOC > 1,15 then at mass = mLDC ∅D degrees 22.000 6.1.3
Method used to determine ∅D : C.2 Theoretical calculation Annex C
Design Category possible on Downflooding Angle C 6.3
Downflooding Height :
Basic Reduced value for Reduced value increased
Requirement
requirement small openings at outboard value at bow

all options but only if


applicable to all options options 3, 4 options 3, 4, 6
figures are used

ref. 6.1.2.2 a) 6.1.2.2 d) 6.1.2.2 c) 6.1.2.2 b)


obtained from Figs. 2 + 3 or annex A? = basic x 0,75 = basic x 0,80 = basic x 1,15
maximum area of small openings (50LH^2) (mm) = 3942.72 /////////////// ///////////////

Required Fig. 2/ann. A Category A 0.522 0.392


Downflood Fig. 2/ann. A Category B 0.522 0.392
Height Fig. 2/ann. A Category C 0.740 0.555
hD(R) (m) Fig. 3/ann. A Category D 0.400 0.300
Actual Downflooding Height hD 0.700
Design Category possible on Downflooding Angle A B C D
Design Category possible on Downflooding Height = lowest of above PASS

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