SHIP Stability Board Question PDF

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1.

A vessel of 1100 tonnes displacement has a KG of 6.30m. A jumbo derrick is used to shift a weight of 250 tonnes from the lower hold (KG of 3m to the upper deck (KG 8.5m). The head of the derrick is 19.50m above the keel. Find the KG of the ship when the shifting is over. (ans 6.425m) 11000 Kg = (11000x 6.3) + (250x 8.5) – (250x 3) 11000 Kg = 70675 Kg = 6.425m

2.

A ship is 122m long has a beam of 15.25m and floats in salt water with an even keel draft of 5.50m. If the block coefficient is 0.695, what is the displacement? If the immersed midship section area is 82.50 m2 . (ans 7190 tonnes)

3.

A pontoon is 140m long and has a constant rectangular cross-section 16m beam and 10m deep. If it floats at a mean draft of 6m in water density of 1020kg/m 3 , what is the value for bouyancy given by the water to the pontoon? (ans 13709 tonnes)

4.

A ship 110m long floats on an evel keel draft of 4.85m with center of floatation of 1.30m forward of amidship. A load of 30 tonnes is moved forward until the draft forward is 5.05m. Throight what distance is it moved? The MCT 1cm may be taken as 64 tonnes meters. (ans 87.50m)

5.

The internal dimensions of a tank for holding fresh water are 8 ft x 3 ft – 6 inch. How may tons of water will it contain? (ans 1.94 tons)

6.

A ship is 500 ft long, 57 ft wide, 22 ft-6 inch draft, 9860 tons displacement, 1150 sq ft area of immersed midship section. Find the prismatic coefficient Cp. (ans 0.897)

7.

A vessel is 300 ft x 36.50 ft x 13.50 ft draft, 2135 tons displacement. Find the area of wetted surface. (taylor 12,400 sq ft)

8.

A vessel of 1792 tons displacement is inclined by shifting 5 tons already on board transversely across the deck through 20 ft. The need of the plumb line 15 ft long moves through 5.50 inch. Determined the metancentric height at the time of experiment. ( ans 1.83 feet) GG1 = 5*20/1792 = 0.0558m

9.

tan =15/0.4583 = 32.729

Gm = 0.0558x 32.729 = 1.83 feet

A box is 200 Ft long, 30 ft wide, and weight of 2000 tons. Find the height of the transverse metacentre above the bottom when the box floating in salt water on an even keel. (ans 12.26 ft) BMT = LB3/ 12V = 200x303 /12(200x35) = 6.4285 d = 2000x35 / (200 x 30) = 11.67 feet KB = 11.67/2 = 5.833 GM = 5.833+6.4285 = 12.26 Feet

10.

When a mass of 25 tonnes is shifted 15m transversely across the deck of a ship of 8000 tonnes displacement, it causes a deflection of 20 cm in a plumb line 4m long. If the KM = 7m, calculate the KG. (ans 6.06m) GG1 = 25*15/ 8000 = 0.0469m

Tan = 4/0.20 = 20m Gm = 0.0469 x20 = 0.94m

KG = 7-0.94 = 6.06m

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11.

A box shape vessel with 400 ft long and 70 ft wide and the weight before launching is 6400 tons, what will be the draft in salt water. (ans 8 ft)

12.

A ship has displacement of 2400 tonnes and KG = 10.80 m. Find the new KG if a weight of 50 tonnes mass already on board is raised 12 meters vertically. (ans 10.82 m) 2400 x 10.80 = 25920 50 x 12 = 600 2450 26520

13.

KG = 10.82

Find the shift in the center of gravity of a ship 1500 tonnes displacement when a weight of 25 tonnes mass is shifted from the starboard side of the lower hold to the port side on deck through a distance of 15 meters. ( ans 0.25m) GG1 = wd / displ = 15*25 / 1500 = 0.25

14.

A ship has displacement of 2000 tonnes and KG = 10.50 meters. Find the new KG if a weight of 40 tonnes mass already on board is shifted from the ‘tween deck to the lower hold through a distance of 4.5 meters vertically. (ans 10.41 m) GG1 = 40 x 4.5/2000 = 0.09 m

KG = 10.50 – 0.09 = 10.41 m

15.

Find the relative density of salt water whose density is 1025 kg/ cu. Mtr. (ans 1.025)

16.

When a double bottom tank is full of fresh water it holds 120 tonnes. Find how many tonnes of oil of relative density 0.84 it will hold. ( ans 100.80 tonnes)

17.

Find the volume of oil if the tank measures 20m x 24m x 10.50m when the ullage is 2.5m. (ans 3840 cu m)

18.

A box shape vessel of 105 m long, 30 m wide, and 20m deep, is floating upright in fresh water. If the displacement is 19500 tonnes, find the reserve volume of buoyancy. (ans 43500 cu mtr)

19.

A ship displaces 7000 tonnes while floating in fresh water. Find the displacement of the ship when floating the at the same draft in water density 1015 kg/ cu m. (ans 7105 tonnes) new disp /sg = old disp/ sg =

new disp = 7000 x 1.015/1 = 7105 cu m

20.

A ship of 2400 tonnes displacement is floating in salt water. The ship has to proceed to a birth where the density of the water is 1008 kg/cu m if she is to remain at the salt water draft her new displacement is 6293.90 tonnes. Find how much cargo must be discharged. (ans 106.10 tonnes)

21.

Find the number of persons which a wooden lifeboat 10 m long, 2.70 m wide, and 1 m deep may be certified to carry. (ans 57 persons) Cap = 10 x 2.70 x 1 x 0.6 / 0.283 = 57 persons)

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22.

A ship float on salt water with dimensions of 64 m long, 10 m wide, has a draft of 1.5 m, and has a light displacement of 590.40 tonnes if a load draft of 4 m and had a block coefficient of 0.75. Find the loaded displacement of the ship. (ans 1968 tonnes)

23.

What is the distance between the center of gravity and the metacentre. (ans metacentric height)

24.

The point where the intersection of a vertical line drawn through the center of buoyancy of a listed vessel intersects with the centreline plane. (ans metacentre)

25.

A measure of the capacity of the ship in which 1 ton is equivalent to 100 cubic feet. (ans gross tonnage)

26.

A prominent appendage attached to the bow in order to reduce resistance and thus reduce horsepower. (ans bulbous bow)

27.

It is a horizontal plate brackets of generally triangular form connecting port & starboard side stringers and bow plating at the stem. (ans breasthook)

28.

What is a steel warping drum rotating on a vertical axis for the handling of mooring lines and optionally anchor cable. (ans capstan)

29.

What is a point through which the weight of the ship may be assume to act. (ans center of gravity)

30.

It is the ratio of the volume of displacement and the volume of the circumscribing block of constant rectangular section having the same length, beam, and draft. (ans block coefficient Cb)

31.

A ship’s wooden life boat measures 7.3 m x 2.5 m x 1 m. Find the number of persons which may be carried. (ans 38 persons) Vol = LBD x 0.6 = 7.3 x 2.5 x 1x 0.6 = 10.95 cu m

32.

no. of persons = V/x = 18.25/ 0.283 = 38

A ship is 150 m long, has 20m beam, load draft of 8m, light draft 3m. The block coefficient at the load draft is 0.766, and the at the light draft is 0.668, Find the ship’s deadweight. (ans 12681.30 tonnes) Disp = 150 x 20 x 8 x 0.766 x 1.025 = 18 843.60 L disp = 150 x 20 x 3 x 0.668 x 1.025 = 6 162.30 Deadweight = 12 681.30

33.

A ship has a displacement of 1800 tonnes and KG = 3 m. She loads 3400 tonnes of cargo (KG = 2.5 m), and 400 tonnes of bunkers (KG = 5 m). Find the final KG. (ans 2.84 m)

34.

A box-shaped vessel is 24 m x 5 m x 5 m and floats on an even keel at 2 m draft. Find the KB. (ans 1m)

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35.

A vessel which is a shape of a box has a length of 24 m, beam 5 m, draft 5 m, and float on an even keel at 2 m. Find the height of transverse metacentre BM. (ans 1.04 m)

36.

If a box-shaped vessel has a dimensioned of 24 m x 5m x 5m with a draft of 2m at even keel. Has a transverse metacentre of 1.04m, center of buoyancy of 1m, and center of gravity of 1.5m. Calculate the initial transverse metacentric height GM. (ans 0.54m)

37.

The displacement is 7000 tonnes while floating in dock water of density 1008 kg per cu m. What was the volume of water displaced. (ans 6944 cu m)

38.

The second moment of a ship’s water-plane area about the center line is 20 000 m units. The volume of displacement of the is 6944 cu m. Calculate the initial metacentric height. (ans 2.88m)

39.

A box shaped-boat 75m long, 12m wide, and 7m depth, is floating on an even keel at 6m draft. Find the center of buoyancy KB. (ans 3m)

40.

A box shaped-vessel with a dimensions of 75m long, 12m breadth, and 7m depth, float on an even keel of 6m draft. Calculate the transverse metacentre BM. (ans 2m)

41.

A ship of 6000 tonnes displacement has KM = 7.3m, and KG = 6.7m, and is floating upright. A weight of 60 tonnes already on board is shifted 12m transversely. Find the shift of center of

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gravity from G to G1.

(ans 0.12m)

42.

A ship of 6000 tonnes displacement has KM = 7.3m, and KG = 6.7m, and is floating upright. A weight of 60 tonnes already on board is shifted 12m transversely. Calculate the metacentric height GM. (ans 0.6m)

43.

A ship of 6000 tonnes displacement has KB = 3m, KM = 5.5m, and GZ = 0.35 m. Find the moment of statical stability. (ans 2100 tonnes m)

44.

A box-shaped vessel 65m x 12m x 8m has a KG = 4m, and floats in salt water upright on an even keel at 4m draft and has a GM = 1m. Find the righting lever GZ at 5 degrees. (ans GZ = 0.087 m)

45.

A box-shaped vessel 90m x 14m x 9.25m and floats in fresh water and a 95 tonnes of cargo was loaded on the vessel at a draft of 6m. Find the parallel singkage. (ans 7.54 cm)

46.

A box-shaped vessel 70m x 13m x 7.5m and floats in salt water and a 58 tons of cargo was loaded on an even keel at 5m draft. Find the parallel sinkage. (ans 6.22 cm )

47.

A box-shaped vessel 65m x 12m x 8m has a KG = 4m, and floats in salt water upright on an even keel at 4m draft and has a GM = 1m. Calculate the moment of statical stability at 25 degrees heel. (ans 278.90 tonnes m)

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48.

When a ship of 12 000 tonnes displacement is heeled 6.5 degrees the moment of statical stability is 600 tonnes m. Calculate the initial metacentric height GM. (ans 0.44m)

49.

A ship of 4000 tonnes displacement has KG = 5.5m and KM = 6.0m. Calculate the moment of statical stability when heeled 5 degrees. (ans 174.40 tonnes m)

50.

A ship of 4000 tonnes displacement has KG = 5.5m and KM = 6.0m. Calculate the metacentric height GM. (ans 0.5m)

51.

A ship 126m long is floating at draft of 5.5m Fwd and 6.5m Aft. The center of floatation is 3m Aft of amidship. MCT 1cm = 240 tonnes m. Displacement = 6000 tonnes. Find the trimming moment if the weight of 120 tonnes already on board is shifted forward a distance of 45 metres. (ans 5400 tonnes by the head)

52.

A ship has a displacement of 6000 tonnes, MCT 1cm of 240 tonnes m, and a trimming moment of 5400 tonnes m Fwd. Calculate the change of trim. (ans 22.5 cm by the head)

53.

A box-shaped vessel 90m x 10mx 6m floats in salt water on an even keel at 3m draft. Find the displacement of the vessel. (ans 2767.50 tonnes)

54.

A box-shaped vessel 90m x 10mx 6m floats in salt water on an even keel at 3m draft. Find the longitudinal matacenter BML. (ans 225m)

55.

A box-shaped vessel with a dimensions of 90m long, 10m wide, and 6m draft, and floats in salt water on an even keel at 3m draft. Calculate the moment change of trim (MCT 1cm) if the vessel has a BML of 225m. (ans 69.19 tonnes m/cm)

56.

A rectangular pontoon is 45m long and has a beam of 10m. It floats in FW with an even keel draft of 2m and carries a mass in the hold of 30 tonnes. Calculate the displacement. (ans 900 tonnes)

57.

A rectangular pontoon with a displacement of 900 tonnes and float in an even keel in FW and carries a mass in the hold of 30 tonnes. The center of gravity of the mass is 3.50 m above the base of the pontoon and the derrick which is to lift the mass has a head 18.50 m above the base. What is the change in GM immediately after lifting the mass? (ans 0.50 m)

58.

A weight of 15 tonnes is moved horizontally across the deck of a ship for a distance of 11 meters. The ship heels so that a pendulum, suspended 8 meters above a horizontal batten, moves out along the batten for a distance of 244 mm. The ship’s displacement is 3150 tonnes and her KM is (ans 1.72m GM, 4.40m KG) 6.12 m. Find the GM and KG.

GG1 = wd/ displ = 15 x 11/ 3150 = 0.0524m tan = L/deflection = 8/0.244= 32.787mm GM = GG1 / tan = 0.0524 x 32.787 =1.717 m KG = 6.12 – 1.717 = 4.40 m

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59.

A ship has a displacement of 7200 tonnes and 100 tonnes of cargo are moved from the upper deck to the bottom of the hold. If the centre of gravity of the cargo is moved through 7.20 m by how much is the metacentric height changed? (ans 0.10 m)

60.

A ship had a displacement of 640 tonnes when floating in SW. When inclined the GM was found to be 0.375 m, but there were free surfaces present in: Oil tank FS = 0.0154, water ballast tank FS = 0.0667, fresh water tank FS = 0.0021. Calculate the corrected GM. (ans 0.459 m)

61.

A ship has a displacement of 3600 tonnes and during an inclining experiment 4 tonnes of ballast were moved transversely through 6 m. This caused the end of a pendulum 5 m to deflect by 75mm and the tangent Ø is 0.15. what is the value of GM in this condition? (ans 0.444 m)

62.

This is the amount by which the midship section falls in from the half-breadth line at any particular depth. (ans Tumble-home)

63.

These are shaped underwater portion of the ship forward and aft of the parallel middle body. (ans entrance and run)

64.

This is the amount of inclination of the ship in the transverse direction, and is usually measured in degrees. (ans Heel)

65.

This is the transverse curvature given to the decks, and is measured by the difference between the heights of the deck at side and center. (ans camber)

66.

What is the density of fresh water in metric units.

67.

The formula of I = LB3/12 and the axis is in its plane passing through the centre of gravity and parallel to the side is the moment of inertia of what object. (ans rectangular)

68.

The formula of I = πD 4/64 and the axis in its plane passing through the center is the moment of inertia of what object. (ans circle)

69.

A ship has a displacement of 4280 tonnes, KG = 3.85m, KM = 3.97m. At what angle will the ship be inclined when the value of the upsetting couple is 45 tonnes m? (ans 5 degrees)

70.

The following particulars are known for a ship 120m length, when floating in SW at a mean draft of 7.40m, displacement of 10 580 tonnes, GML of 122.92 m. Calculate the Moment Change of Trim 1 cm. (ans 108.40 tonnes m)

71.

A weight of 220 tonnes is added to a ship 120m length with the draft Fwd 5m and Aft 6m, TPC = 14.20, find the parallel singkage of the ship. (ans 15.50 cm)

72.

A weight of 220 tonnes is added to a ship 120m length with the draft Fwd 5m and Aft 6m, LCF = 1 m Fwd, MCT 1cm = 116 tonnes m. Find the change of trim. (ans 39.80 cm Aft)

(ans 1000 kg/cu m)

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73.

A ship has a breadth of 18 m and a water plane area of 2011 floating on SW. What is the approximate value of the MCT 1cm? (ans 165.2 tonnes m)

74.

A tank holds 120 tonnes when full of fresh water. Find how many tonnes of oil of relative density 0.84 it will hold, allowing 2% of the volume of the tank for expansion in the oil. (ans 98.78 tonnes)

75.

Oil of relative density 0.75 is run into a tank measuring 6m x 4m x 8m until the ullage is 2m. Calculate the number of tonnes of oil the tank then contains. (ans 108 tonnes)

76.

A tank will hold 100 tonnes when full of fresh water. Find how many tonnes of oil with relative density of 0.85 may be loaded if 2% of the volume of the oil is to be allowed for expansion. (ans 83.333 tonnes)

77.

A drum of mass 14 kg when empty, is 75 cm long , 60 cm in diameter. Find its draft in salt water if it contain 200 liters of paraffin of relative density 0.63 (ans 0.484 m)

78.

A box shaped barge 55m x 10m x 6m is floating in FW on an even keel at 1.5m draft. If 1800 tonnes of cargo is now loaded, find the difference in the height of the center of buoyancy above the keel. (ans 1.636 m)

79.

A box shaped vessel 20m x 6m x 2.5m floats at a draft of 1.5m in water of density 1035 kg per cu. Mtr. Find the height of the center of buoyancy above keel. (ans 0.75 m)

80.

A rectangular tank 3m x 1.2m x 0.6m is floating in FW at a draft of 15cm. Calculate the minimum amount of FW which must be poured into tank to sink it. (ans 1.62 m)

81.

A ship is said to be in _______ equilibrium if, when inclined she tends to return to the initial position. (ans stable)

82.

When the ship which is inclined to a small angle tends to heel over still further, she is to be _______ equilibrium. (ans unstable)

83.

A ship 0f 10 000 tonnes displacement has an initial metacentric height of 1.5 m. What is the right lever GZ of the ship if she heeled 10 degrees. (ans 0.26 m)

84.

A ship 0f 10,250 tonnes displacement has an initial metacentric height of 1.3 m, righting lever 0.25m. What is the moment of statical stability when the ship heeled 10 degrees. (ans 2,313.86 tonnes m)

85.

A tug boat is displaced in the salt water of 59.40 tonnes with a draft of 1.65m, a beam of 4.90m and a length of 15.70m. What is the Block Coefficient (Cb) of the boat? (ans 0.457)

86.

If the boat has midship section area of 6.468 sm, with a beam of 4.90m and a draft of 1.65m. What will be the Midship Coefficient (Cm) of the boat? (ans 0.80) 7

87.

If the boat block coefficient (Cb) is 0.51 and a midship coefficient (Cm) of 0.92, what will be the prismatic coefficient (Cp)? (ans 0.554)

88.

The waterplane area of the boat is 48.50 sm with the length of 16.20m and a width of 5.00m. What is the waterplane coefficient (Cwp) of the boat? (ans 0.60)

89.

The ship was displaced in a salt water of 537.65 tonnes with equivalent volume of 525.54 cu-mtr, a length of 30.081 m and a midship area of 21.375 sm. Find the Prismatic Coefficient (Cp) of the ship? (ans 0.817)

90.

The vessel had a length of 30 m, a moulded breadth of 10 m and a draft of 2.20 m, and a block coefficient (Cb) of 0.775 which she float in salt water. What is the displacement of the vessel? (ans 524.29 tonnes)

91.

The ship length of 90 m and a moulded breadth of 6m and with a waterplane coefficient of 0.89. What will be the Tons per cm (TPC) of the ship when she afloat on sea water? (ans 4.926)

92.

The boat volume of displacement of 1432.95 cu.mtr. mean draft of 3.00 m and an area of waterplane o...