Proračun trima i stabiliteta. (Trim & Stability Calculation) m/v Vježba

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1 Proračun trima i stabiliteta (Trim & Stability Calculation) m/v Vježba

3 General Data and Principal Particulars GENERAL DATA Ship name Signal letter Register numbers Port of registry Owner Builder m/v Vježba DIWT 1937 CSSR Itzehoe GL IMO WEWELSFLETH Interscan Shipping GmbH & Co Wewlsfleth Schiffswerft Hugo Peters Wewlsfleth Peters & Co. GmbH 2211 Wewlsfleth Yard No. 643 Date of keel laying Date of launching Date of delivery Date of conversion 11/2002 PRINCIPAL PARTICULARS Length overall approx m Length between perpendiculars m Breadth m Height 6.60 m Draught (summer freeboard) m Displacement 3985 t Deadweight (summer freeboard) 2803 t Gross tonnage Net tonnage Loading capacity m 3 Classification: GL100 A5 E2 G -MC E2 Aut "Strengthened for heavy cargo" "Furnished for Container transport " Freeboards: Draughts Summer 1695 mm 4927 mm Winter 1795 mm 4827 mm Winter NA 1845 mm 4777 mm F.W. deduction 100 mm 5027 mm Summer 4927 mm Winter

4 1 In column 1 are all weights loaded on the ship including light ship weight and constant weight as spares, crew and effects. 2 Lever from after perpendicular from capacity tables Lever from centre line from Capacity tables Lever from base line from Capacity tables From Capacity tables for all slack tanks. 9 SUM3 / SUM1. 10 SUM5 / SUM1. 11 SUM7 / SUM1. 12, 14, 15, 18 and 23 from Hydrostatic tables for corresponding displacement SUM1. 13 Difference between centre of buoyancy and gravity = Trim forward = Trim aft = Draught forward = if 12 > 9 and if 12 < Draught aft = if 12 > 9 and if 12 < Mean draught = ( ) / Total trim = Metacentric height = SLACK MG reduction = SUM8 / SUM1. 26 Reduced metacentric height = Corrected centre of gravity KG = Angle of heel = SUM / (SUM1 26) Note: If 12 > 9 trim is positive and the ship is trimmed by stern. If 12 < 9 trim is negative and the ship is trimmed by head. MG = (Free surface moment) / (Displacement) = SUM8 / SUM1 where displacement is displacement is displacement for the loading condition under consideration.

5 Corrected KG, KG = KG + MG = = = 4.96 m For the displacement 3985 t it is necessary to read from the S CURVE TABLES as shown in the next table = KG' * = = 32 * ϕ, deg. "S" SINϕ KG' * SINϕ GZ= - KG' * SINϕ CUMULATIVE SUM OF PAIRS AREA UNDER CURVE GZ ΣΣ GZ * ΣΣ GZ (m*rad) 0 0 0, ,000 0, ,000 0, ,940 0, ,862 0, ,078 0, ,860 0, ,697 0, ,320 0, ,730 0, ,481 0, ,732 0, ,590 0, ,189 0, ,382 0, ,230 0, ,801 0, ,212 0, ,590 0, ,297 0,293 2,934 0,256 Note: In the column marked with 28 the S values are obtained form the S curve tables for the corresponding displacement. The righting levers GZ calculated in the column 31 are plotted on belonged diagram for this condition (See details in section Loading conditions ). Values in column 33 represent cumulative area under GZ curve in m rad. Coefficient is only valid for the trapeze rule calculation of area where the difference between ordinates is This coefficient is derived by the following formula: π / 180 (Difference of two adjacent ordinate in degrees) 0.5 In column 33 the first bold printed value is area under GZ curve up to 30 0, and the second bold printed value is area under GZ curve up to 40 0.

6 GENERAL OVERALL VIEW NOMINATION P (t) LCG MOM. TCG MOM. VCG MOM. IB (m) (tm) (m) (tm) (m) (tm) (mt) ICE ON DECK CARGO WATER IN TIMBER ON DECK TANKS FREE SURFACES IN TANKS CREW & EFFECTS PROVISIONS STORES LIGHT SHIP DISPLACEMENT = = = SUM1= SUM3= ANGLE OF HEEL 0.8 =SUM5*57.3/(SUM1*26) DATA Lpp 78.9 DISPLACEMENT SUM t CENTRE OF BUOYANCY FROM A.P m HT CENTRE OF GRAVITY FROM A.P m DIFFERENCE BETWEEN CENTRE OF BUOYANCY AND GRAVITY 13= m TRIM FACTOR FORE m HT TRIM FACTOR AFT m HT TRIM FORWARD 16=14* m TRIM AFT 17=15* m DRAUGHT ON EVEN KEEL m HT FORWARD 19=18± m AFT 20=18± m MEAN DRAFT 21=(19+20)/ m TOTAL TRIM 22= m STABILITY METACENTRE ABOVE BASE LINE KM m HT CENTRE OF GRAVITY FROM BASE KG m METACENTRIC HEIGHT MoG =KM - KG 24= m SLACK - MG REDUCTION 25=SUM8/SUM m REDUCED METACENTRIC HEIGHT MG 26= m CORRECTED CENTRE OF GRAVITY KG' 27= m SUM5= SUM7= SUM8=

7 CHARACTER. OF STATICAL STABILITY DIAGRAM MAXIMUM ARM ANGLE AT WHICH MAX. ARM IS OCCURRED ANGLE OF VANISHING STABILITY > 60 AREA UNDER CURVE UP TO 30 DEG OK AREA UNDER CURVE UP TO 40 DEG., OR FLOOD. ANG OK 0.09 AREA UNDER CURVE BETWEEN 30 DEG. AND 40 DEG., OR FLOOD. ANG OK 0.03 ANGLE OF FLOODING DEG. KN SIN(PHI) KG' * SIN(PHI) GZ=KN-KG'SIN(PHI) SUM OF PAIRS AREA UNDER CURVE GZ PHI, DEG. 0,0827 * (SUM OF PAIRS)

8 Displacement T KM M1 XB p trim faktor Density (m) (m) (mt/m) (m) (t/cm) aft fore

9 T, m DISPL, KM, m 10 deg. 20 deg. 30 deg. 40 deg. 50 deg. 60 deg. ro=1,

11 TANK - OVERALL VIEW TANK NOMINATION P (t) LCG (m) MOM. (tm) TCG (m) MOM. (tm) VCG (m) MOM. (tm) IB (mt) GASOIL DB 1 P DB 1 S DB 2 P DB 2 S DB 3 P DB 3 S Settling tank P Daily servtk 1 MDO P Daily servtk 2 MGO P Storage tk em.dies S Leakage oil tank S Overflow tank S Sludge tank P TOTAL GASOIL LUBOIL Circulation CL Storage tank 1 S Storage tank 2 S Waste oil tank S TOTAL LUBOIL POTABLE WATER Aft peak tank Aft peak tank TOTAL POTABLE WATER SUNDRY TANKS Hydr. oil stor. tk. S Bilge water tank S TOTAL SUNDRY TANKS BALLAST BOTTOM TANKS DB 1 P DB 1 S DB 2 P DB 2 S DB 3 P DB 3 S TOTAL BALLAST BOTTOM TK BALL. NON-BOTTOM TANKS Fore peak tank Wing tank 1 P Wing tank 1 S Wing tank 2 P Wing tank 2 S Wing tank 3 P Wing tank 3 S TOTAL BALLAST NON-BOTT TK GRAND TOTAL TANKS

12 "S" curves "S" values (m) deg. 20 deg. 30 deg. 40 deg. 50 deg. 60 deg. 70 deg. 80 deg. 90 deg Displacement (t)

13 T-KM KM, m 5.40 y = x R 2 = T, m

14 Displacemet - Draught Draught, (m) y = x R 2 = Displacemet, (t)

15 RIGHTING LEVER CURVE GZ (m) ANGLE OF HEEL PHI (DEG.)

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