MPA Class 1/2 Stability Questions
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End-of-Course Revision _ 2014-08-19_Qns+Ans
Transcript of MPA Class 1/2 Stability Questions
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MA2029 : Ship Stability | End-of-Course Class Revision
August 2014
1.
Container vessel, M.V. Monte Rosa (LBP = 273m) arrival port stability condition is providedbelow. She then discharged all her containers on deck and de-ballasted No. 4 W.B.T. (P&S)until empty.
What would be her departure condition on completion the above operations assuming all
other conditions remain unchanged?
ARRIVAL CONDITION
Item Weight LCG Moment KG MomentFSM
(t-m)
Deadweight 40998 -0.08 -3398 14.91 611246 0
Lightweight 26757 23.64 632535 13.9 371922 0
Displacement 67755 9.29 629137 14.51 983168 4983
HYDROSTATIC CONDITION
DRAFT: KM 14.99 m
AT C.F. 11.83 m KG 14.51 m
FORE 11.49 m GM 0.48 m
AFT 12.10 m GGo 0.07 m
ITEM % Weight LCG Moment KG Moment I (m4)
CONT 20 IN HOLD
No. 01 BAY [18] 247 -118.58 -29289 21.56 5325 0
No. 03 BAY [20] 269 -111.72 -30053 20.23 5442 0
No. 05 BAY [28] 376 -102.62 -38585 19.33 7268 0
No. 07 BAY [34] 457 -95.77 -43767 18.14 8290 0
No. 09 BAY [42] 565 -88.37 -49929 17.67 9984 0
No. 11 BAY [50] 622 -81.52 -50705 17.79 11065 0
No. 17 BAY [70] 841 -58.18 -48929 16.1 13540 0
No. 19 BAY [76] 1177 -51.32 -60404 15.17 17855 0
No. 37 BAY [88] 1133 17.26 19556 14 15862 0
No. 39 BAY [88] 1183 23.91 28286 14 16562 0
No. 57 BAY [40] 578 121.22 70065 18.64 10774 0
No. 59 BAY [38] 511 128.07 65444 19.27 9847 0
SUM [592] 7959 -168311 131814 0
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ITEM % Weight LCG Moment KG Moment I (m4)
CONT 40 IN HOLD
No. 14 BAY [64] 1721 -68.64 -118129 16.44 28293 0
No. 22 BAY [78] 2097 -38.79 -81343 15.12 31707 0
No. 26 BAY [84] 2259 -25.26 -57062 14.47 32688 0
No. 30 BAY [88] 2366 -9.09 -21507 14 33124 0
No. 34 BAY [88] 2366 4.44 10505 14.05 33242 0
No. 42 BAY [88] 2366 34.14 80775 14.03 33195 0
No. 46 BAY [40] 1076 80.91 87059 19.94 21455 0
No. 50 BAY [64] 1721 94.44 162531 17.07 29377 0
No. 54 BAY [52] 1398 110.76 154842 18.63 26045 0
SUM [646] 17370 217672 269127 0
CONT 20 ON DECK
No. 11 BAY (3T-6) 25 -81.52 -2038 30.65 766 0
SUM 25 -2038 766 0
CONT 40 ON DECK
No. 02 BAY [3T-21] 177 -114.79 -20318 31.14 5512 0
No. 06 BAY [3T-27] 227 -98.84 -22437 30.65 6958 0No. 10 BAY [3T-33] 278 -85.31 -23716 30.65 8521 0
No. 14 BAY [3T-39] 328 -68.64 -22514 30.65 10053 0
No. 18 BAY [3T-39] 328 -55.11 -18076 30.65 10053 0
No. 22 BAY [3T-39] 328 -38.79 -12723 30.65 10053 0
No. 26 BAY [3T-39] 328 -25.26 -8285 30.65 10053 0
No. 30 BAY [3T-39] 328 -9.09 -2982 30.65 10053 0
No. 34 BAY [3T-39] 328 4.44 1456 30.65 10053 0
No. 38 BAY [3T-39] 328 20.8 6822 30.65 10053 0
No. 42 BAY [3T-39] 328 34.14 11198 30.65 10053 0
No. 46 BAY [3T-39] 328 80.91 26538 30.65 10053 0
No. 50 BAY [3T-39] 328 94.44 30976 30.65 10053 0
No. 54 BAY [3T-39] 328 110.76 36329 30.65 10053 0
No. 58 BAY [3T-39] 328 124.29 40767 30.65 10053 0
SUM [349] 4618 23037 141628 0
FUEL OIL (C-OIL)
No. 2 F.O.T (P&S) 95 2003 -90.5 -181272 4.73 9474 1971
No. 3 Low F.O.S.T (P) 95 597 -57.65 -34417 4.52 2698 923
No. 4 Low F.O.S.T. (P&S) 95 1728 -31.87 -55071 4.77 8243 1013
No. 5 Low F.O.S.T. (P&S) 95 2365 13.95 32992 3.53 8348 1440
No. 6 F.O.O.& B.T (P&S) 95 688 51.99 35769 2.03 1397 2443
F.O.SETT.T (P&S) 95 174 44.65 7769 15.14 2634 9
F.O. SERV.T (P&S) 95 141 49.6 6994 15.09 2128 4
SUM 7696 -187236 34922 7803
DIESEL OIL (A-OIL)
No. 3 Low F.O.S.T. (S) 0 0 -57.65 0 0 0 0
No. 7 Diesel O.T. (P&S) 85 184 70.16 12909 2.32 427 696
Diesel O.SETT.T (P) 95 48 57.25 2748 15.13 726 3
Diesel O.SERV.T (P) 95 48 54.55 2618 15.13 726 3
SUM 280 18276 1879 702
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ITEM % Weight LCG Moment KG Moment I (m4)
FRESH WATER
No. 5A FRESH W.S.T. (P) 32 70 28.06 1964 16.33 1143 22
No. 5A DRINK W.S.T. (S) 66 145 28.06 4069 17.1 2480 22
DISTILLED W.T. (P) 95 115 63.1 7257 14.89 1712 6
SUM 330 13289 5335 50
WATER BALLAST
F.P. RES.W.B.T. (C) 0 0 -133.03 0 11.11 0 0
FORE PEAK W.B.T. (C) 0 0 -133.03 0 0 0 0
No. 1 W.B.T. (C) 0 0 -113.64 0 0 0 0
No. 3 W.B.T. (P&S) 0 0 -57.24 0 0 0 0
No. 3 UPP W.B.S.T. (P&S) 0 0 -52.99 0 10.21 0 0
No. 4 W.B.T. (P&S) 100 1287 -25.63 -32986 2.58 3320 0
No. 4 UPP W.B.S.T. (P&S) 0 0 -30.69 0 10.21 0 0
No. 5F W.B.T. (C) 100 1302 -1.28 -1667 1.10 1432 0
No. 5A W.B.T. (C) 100 720 29.18 21010 1.09 785 0
No. 5A W.B.T. (P&S) 100 528 27 14256 1.14 602 0
No. 5 UPP W.B.S.T. (P&S) 65 1855 10.39 19273 10.68 19811 120
No. 8 W.B.T. (C) 100 188 94.55 17775 2.12 399 0
AFT PEAK W.B.T. (C) 0 0 124.6 0 7.67 0 0
SUM 5880 37662 26349 120
CONSTANT
CONSTANT 1 470 64.23 30188 12.15 5711 0
CONSTANT 2 65 -45.25 -2941 25.34 1647 0
CONSTANT 3 85 97.69 8304 13.06 1110 0
SUM 620 35551 8468 0
Total FSM 8074
(R10, Q1)
Ans: GM (Fluid) = 1.32385m | Draft (F) = 10.15598m ; Draft (A) = 11.73244m
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Solution to Question 1
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2. A box-shaped barge of uniform construction is 80 metres long and displaces 800 tonneswhen empty. It is divided by transverse bulkheads into four equal compartments.
Cargo is loaded into each compartment and level stowed as follows:
No. 1 hold 20 tonnes No. 2 hold 40 tonnes
No. 3 hold 40 tonnes No. 4 hold 20 tonnes
Construct Load and Shearing Force Diagrams, before calculating the Bending Moments atthe bulkheads and the position of maximum value; hence draw the bending moment diagram.
(R9, Q6)
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3. M.V. Starship is about to enter a drydock with draughts 3.5m forward and 4.1m aft. Her KGis 9.0m. Show by calculation whether the ship has adequate stability to enter the drydock.
(R10, Q4)
New GM = 0.94507m
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4. A box-shaped vessel, 180 m in length and 25 m wide is floating in saltwater on an even keeldraft of 8.0 m. An empty forward midship compartment, 20 m in length is bilged. Calculate
the drafts forward and aft after bilging.
(R9, Q4)
Draft after Bilging : F = 13.21875m ; A = 5.62500m
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5. A ship of 120m length has an even keel draft of 7m when it grounds lightly on a smooth rockat a point 5m aft of the forward perpendicular. The tide then drops 1.2m. Calculate the final
drafts and GM if the displacement is 12,400tonnes, initial GM is 0.2m, MCTC 140, TPC 18,KM 7.15m, LCF at amidships.
(R8, Q5)
Final GM= -0.09368m | Final Draft: F = 5.71660m ; A = 7.71749m
===== Wishing you all the very best in the coming End-of-Course Examination =====
