Proračun trima i stabiliteta (Trim & Stability Calculation) m/v Vježba
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 34570 GL 9063299 IMO WEWELSFLETH Interscan Shipping GmbH & Co. 2211 Wewlsfleth Schiffswerft Hugo Peters Wewlsfleth Peters & Co. GmbH 2211 Wewlsfleth Yard No. 643 Date of keel laying 17.07.1992 Date of launching 28.11.1992 Date of delivery 13.02.1993 Date of conversion 11/2002 PRINCIPAL PARTICULARS Length overall approx. 82.30 m Length between perpendiculars 78.90 m Breadth 12.50 m Height 6.60 m Draught (summer freeboard) 4.927 m Displacement 3985 t Deadweight (summer freeboard) 2803 t Gross tonnage Net tonnage Loading capacity 4127.8 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
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. 3 1 2. 4 Lever from centre line from Capacity tables. 5 1 4 6 Lever from base line from Capacity tables. 7 1 6. 8 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 = 12 9. 16 Trim forward = 14 13. 17 Trim aft = 15 13. 19 Draught forward = 18-16 if 12 > 9 and 18 + 16 if 12 < 9. 20 Draught aft = 18 + 17 if 12 > 9 and 18 17 if 12 < 9. 21 Mean draught = (19 + 20) / 2. 22 Total trim = 16 + 17. 24 Metacentric height = 23 11. 25 SLACK MG reduction = SUM8 / SUM1. 26 Reduced metacentric height = 24 25. 27 Corrected centre of gravity KG = 11 + 25. Angle of heel = SUM5 57.3 / (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.
Corrected KG, KG = KG + MG = 11 + 25 = 4.90 + 0.06 = 4.96 m For the displacement 3985 t it is necessary to read from the S CURVE TABLES as shown in the next table. 28 29 30 = KG' * 29 31 = 28-32 33 = 32 * 0.08727 ϕ, deg. "S" SINϕ KG' * SINϕ GZ= - KG' * SINϕ CUMULATIVE SUM OF PAIRS AREA UNDER CURVE GZ ΣΣ GZ 0.0827 * ΣΣ GZ (m*rad) 0 0 0,00000 0,000 0,000 + 0,000 0,000 10 0,940 0,17365 0,862 0,078 + 0,078 0,007 20 1,860 0,34202 1,697 0,163 + 0,320 0,028 30 2,730 0,50000 2,481 0,249 + 0,732 0,064 40 3,590 0,64279 3,189 0,401 + 1,382 0,121 50 4,230 0,76604 3,801 0,429 + 2,212 0,193 60 4,590 0,86603 4,297 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 0.08727 is only valid for the trapeze rule calculation of area where the difference between ordinates is 10 0. 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.
GENERAL OVERALL VIEW 1 2 3 4 5 6 7 8 NOMINATION P (t) LCG MOM. TCG MOM. VCG MOM. IB (m) (tm) (m) (tm) (m) (tm) (mt) ICE ON DECK 0.0 0.00 0.0 0.00 0.0 0.00 0.0 CARGO 0.0 0.00 0.0 0.00 0.0 0.00 0.0 WATER IN TIMBER ON DECK 0.0 0.00 0.0 0.00 0.0 0.00 0.0 TANKS 1396.5 45.36 63345.8 0.06 84.0 2.78 3884.3 FREE SURFACES IN TANKS 0.0 122.1 CREW & EFFECTS 1.0 7.50 7.5 0.00 0.0 11.00 11.0 PROVISIONS 1.0 12.00 12.0-2.50-2.5 6.00 6.0 STORES 50.0 20.16 1008.0 0.00 0.0 7.00 350.0 LIGHT SHIP 1182.0 35.43 41878.3-0.02-23.6 5.15 6087.3 DISPLACEMENT 2630.5 9= 40.39 106251.6 10= 0.02 57.9 11= 3.93 10338.6 122.1 SUM1= SUM3= ANGLE OF HEEL 0.8 =SUM5*57.3/(SUM1*26) DATA Lpp 78.9 DISPLACEMENT SUM1 2630.45 t CENTRE OF BUOYANCY FROM A.P. 12 40.91 m HT CENTRE OF GRAVITY FROM A.P. 9 40.39 m DIFFERENCE BETWEEN CENTRE OF BUOYANCY AND GRAVITY 13=12-9 0.52 m TRIM FACTOR FORE 14 0.314 m HT TRIM FACTOR AFT 15 0.323 m HT TRIM FORWARD 16=14*13 0.162 m TRIM AFT 17=15*13 0.167 m DRAUGHT ON EVEN KEEL 18 3.41 m HT FORWARD 19=18±16 3.25 m AFT 20=18±17 3.58 m MEAN DRAFT 21=(19+20)/2 3.41 m TOTAL TRIM 22=16+17 0.329 m STABILITY METACENTRE ABOVE BASE LINE KM 23 5.65 m HT CENTRE OF GRAVITY FROM BASE KG 11 3.93 m METACENTRIC HEIGHT MoG =KM - KG 24=23-11 1.72 m SLACK - MG REDUCTION 25=SUM8/SUM1 0.05 m REDUCED METACENTRIC HEIGHT MG 26=24-25 1.67 m CORRECTED CENTRE OF GRAVITY KG' 27=11+25 3.98 m SUM5= SUM7= SUM8=
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. 0.258 OK 0.055 AREA UNDER CURVE UP TO 40 DEG., OR FLOOD. ANG. 0.462 OK 0.09 AREA UNDER CURVE BETWEEN 30 DEG. AND 40 DEG., OR FLOOD. ANG. 0.204 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) 0 0 0.00000 0.000 0.000 0.000 0.000 10 0.990 0.17365 0.691 0.299 0.299 0.026 20 2.010 0.34202 1.360 0.650 1.249 0.109 30 3.050 0.50000 1.988 1.062 2.960 0.258 40 3.830 0.64279 2.556 1.274 5.296 0.462 50 4.410 0.76604 3.046 1.364 7.933 0.692 60 4.780 0.86603 3.444 1.336 10.633 0.928
Displacement T KM M1 XB p trim faktor Density 1.000 1.015 1.025 (m) (m) (mt/m) (m) (t/cm) aft fore 2558 2597 2622 3.40 5.65 4122 40.91 8.57 0.323 0.313 2575 2614 2640 3.42 5.65 4132 40.90 8.58 0.324 0.315 2592 2631 2657 3.44 5.64 4144 40.89 8.59 0.325 0.316 2609 2648 2674 3.46 5.63 4155 40.89 8.60 0.326 0.318 2625 2665 2691 3.48 5.62 4166 40.88 8.61 0.327 0.319 2642 2682 2708 3.50 5.61 4177 40.88 8.62 0.327 0.321 2659 2699 2726 3.52 5.60 4189 40.87 8.63 0.328 0.322 2676 2716 2743 3.54 5.59 4200 40.86 8.64 0.329 0.324 2693 2733 2760 3.56 5.59 4212 40.86 8.64 0.330 0.325 2710 2750 2777 3.58 5.58 4224 40.85 8.65 0.331 0.327 2726 2767 2795 3.60 5.57 4236 40.84 8.66 0.332 0.328 2743 2785 2812 3.62 5.56 4248 40.83 8.67 0.333 0.329 2760 2802 2829 3.64 5.56 4260 40.83 8.68 0.333 0.331 2777 2819 2847 3.66 5.55 4273 40.82 8.69 0.334 0.332 2794 2836 2864 3.68 5.54 4285 40.81 8.70 0.335 0.333 2811 2853 2881 3.70 5.53 4293 40.80 8.71 0.336 0.334 2828 2871 2899 3.72 5.53 4310 40.79 8.72 0.337 0.335 2845 2888 2916 3.74 5.52 4323 40.79 8.72 0.338 0.337 2862 2905 2934 3.76 5.52 4335 40.78 8.73 0.339 0.338 2879 2922 2951 3.78 5.51 4348 40.77 8.74 0.340 0.339 2896 2940 2969 3.80 5.50 4361 40.76 8.75 0.341 0.340 2913 2957 2986 3.82 5.50 4374 40.75 8.76 0.342 0.341 2931 2975 3004 3.84 5.49 4386 40.74 8.77 0.343 0.342 2948 2992 3021 3.86 5.49 4399 40.73 8.78 0.344 0.343 2965 3009 3039 3.88 5.48 4412 40.73 8.79 0.344 0.344
T, m DISPL, KM, m 10 deg. 20 deg. 30 deg. 40 deg. 50 deg. 60 deg. ro=1,025 3.40 2622 5.65 0.99 2.01 3.05 3.83 4.41 4.78 3.42 2640 5.65 0.99 2.01 3.04 3.83 4.41 4.78 3.44 2657 5.64 0.99 2.00 3.03 3.82 4.41 4.78 3.46 2674 5.63 0.99 2.00 3.03 3.82 4.40 4.78 3.48 2691 5.62 0.98 2.00 3.02 3.82 4.40 4.78 3.50 2708 5.61 0.98 1.99 3.02 3.81 4.40 4.78 3.52 2726 5.60 0.98 1.99 3.01 3.81 4.40 4.78 3.54 2743 5.59 0.98 1.99 3.01 3.81 4.40 4.77 3.56 2760 5.59 0.98 1.98 3.00 3.80 4.40 4.77 3.58 2777 5.58 0.98 1.98 3.00 3.80 4.40 4.77 3.60 2795 5.57 0.97 1.98 2.99 3.80 4.40 4.77 3.62 2812 5.56 0.97 1.97 2.99 3.79 4.40 4.77 3.64 2829 5.56 0.97 1.97 2.98 3.79 4.40 4.77 3.66 2847 5.55 0.97 1.97 2.98 3.78 4.39 4.76 3.68 2864 5.54 0.97 1.97 2.97 3.78 4.39 4.76 3.70 2881 5.53 0.97 1.96 2.97 3.78 4.39 4.76 3.72 2899 5.53 0.97 1.96 2.96 3.77 4.39 4.76 3.74 2916 5.52 0.97 1.96 2.96 3.77 4.39 4.76 3.76 2934 5.52 0.97 1.96 2.95 3.77 4.39 4.76 3.78 2951 5.51 0.96 1.95 2.95 3.76 4.39 4.75 3.80 2969 5.50 0.96 1.95 2.94 3.76 4.39 4.75 3.82 2986 5.50 0.96 1.95 2.94 3.76 4.38 4.75 3.84 3004 5.49 0.96 1.95 2.93 3.75 4.38 4.75 3.86 3021 5.49 0.96 1.94 2.93 3.75 4.38 4.75
3.88 3039 5.48 0.96 1.94 2.92 3.75 4.38 4.74
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 3.33 35.65 118.7-4.05-13.5 0.10 0.3 15.70 DB 1 S 3.55 37.20 132.1 4.05 14.4 0.07 0.2 15.70 DB 2 P 2.22 29.40 65.3-4.05-9.0 0.07 0.2 9.90 DB 2 S 2.22 29.40 65.3 4.05 9.0 0.07 0.2 9.90 DB 3 P 3.20 34.20 109.4-1.57-5.0 0.06 0.2 8.00 DB 3 S 3.20 34.20 109.4 1.57 5.0 0.06 0.2 8.00 Settling tank P 10.61 8.27 87.7-4.95-52.5 4.66 49.4 2.50 Daily servtk 1 MDO P 7.37 12.40 91.4-5.49-40.5 4.26 31.4 0.50 Daily servtk 2 MGO P 2.86 10.65 30.5-5.20-14.9 4.38 12.5 0.40 Storage tk em.dies S 0.92-0.15-0.1 3.97 3.7 6.93 6.4 0.00 Leakage oil tank S 1.00 11.47 11.5 2.35 2.4 0.98 1.0 0.40 Overflow tank S 1.00 13.00 13.0 5.43 5.4 3.12 3.1 0.10 Sludge tank P 1.00 11.28 11.3-2.26-2.3 0.67 0.7 0.60 TOTAL GASOIL 42.48 19.90 845.4-2.30-97.8 2.49 105.8 71.70 LUBOIL Circulation CL 2.55 10.54 26.9 0.00 0.0 1.26 3.2 0.10 Storage tank 1 S 1.81 10.65 19.3 5.12 9.3 3.95 7.1 0.40 Storage tank 2 S 3.98 9.14 36.4 4.86 19.3 4.06 16.2 1.00 Waste oil tank S 1.00 7.02 7.0 4.65 4.7 4.29 4.3 0.30 TOTAL LUBOIL 9.34 9.59 89.6 3.56 33.3 3.30 30.8 1.80 POTABLE WATER Aft peak tank 1 3.30 3.70 12.2 0.00 0.0 2.86 9.4 22.50 Aft peak tank 2 2.37 1.88 4.5 0.00 0.0 4.17 9.9 13.20 TOTAL POTABLE WATER 5.67 2.94 16.7 0.00 0.0 3.41 19.3 35.70 SUNDRY TANKS Hydr. oil stor. tk. S 1.01 78.30 79.1 0.65 0.7 8.65 8.7 0.00 Bilge water tank S 1.00 10.14 10.1 2.17 2.2 1.26 1.3 0.30 TOTAL SUNDRY TANKS 2.01 44.39 89.2 1.41 2.8 4.97 10.0 0.30 BALLAST BOTTOM TANKS DB 1 P 95.89 61.44 5891.5-2.95-282.9 0.66 63.3 0.00 DB 1 S 95.89 61.44 5891.5 2.95 282.9 0.66 63.3 0.00 DB 2 P 79.64 48.14 3834.0-3.29-262.0 0.66 52.6 0.00 DB 2 S 82.23 48.00 3947.0 3.31 272.2 0.64 52.6 0.00 DB 3 P 70.65 20.89 1475.9-3.14-221.8 0.66 46.6 0.00 DB 3 S 70.65 20.89 1475.9 3.14 221.8 0.66 46.6 0.00 TOTAL BALLAST BOTTOM TK. 494.95 45.49 22515.8 0.02 10.2 0.66 325.0 0.00 BALL. NON-BOTTOM TANKS Fore peak tank 119.81 76.02 9108.0-0.17-20.4 4.47 535.6 0.00 Wing tank 1 P 85.00 64.02 5441.7-5.20-442.0 3.66 311.1 12.60 Wing tank 1 S 113.66 64.02 7276.5 5.21 592.2 4.18 475.1 0.00 Wing tank 2 P 120.28 45.60 5484.8-5.67-682.0 3.93 472.7 0.00 Wing tank 2 S 120.28 45.60 5484.8 5.67 682.0 3.93 472.7 0.00 Wing tank 3 P 140.85 24.76 3487.4-5.64-794.4 3.97 559.2 0.00 Wing tank 3 S 142.12 24.67 3506.1 5.63 800.1 3.99 567.1 0.00 TOTAL BALLAST NON-BOTT TK. 842.00 47.26 39789.3 0.16 135.5 4.03 3393.4 12.60 GRAND TOTAL TANKS 1396.45 45.36 63345.8 0.06 84.0 2.78 3884.3 122.10
"S" curves 6.00 5.00 "S" values (m) 4.00 3.00 2.00 10 deg. 20 deg. 30 deg. 40 deg. 50 deg. 60 deg. 70 deg. 80 deg. 90 deg. 1.00 0.00 1100 1600 2100 2600 3100 3600 4100 4600 Displacement (t)
T-KM 5.80 5.60 KM, m 5.40 y = -0.3623x + 6.8792 R 2 = 0.9908 5.20 5.00 4.80 3.40 3.45 3.50 3.55 3.60 3.65 3.70 3.75 3.80 3.85 T, m
Displacemet - Draught 4.00 3.90 Draught, (m) 3.80 3.70 3.60 y = 0.0012x + 0.3776 R 2 = 1 3.50 3.40 3.30 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 Displacemet, (t)
RIGHTING LEVER CURVE 1.600 1.400 1.200 1.000 GZ (m) 0.800 0.600 0.400 0.200 0.000 0 10 20 30 40 50 60 70 ANGLE OF HEEL PHI (DEG.)