GLASGOW COLLEGE OF NAUTICAL STUDIES
SHIP STABILITY 1
D78A 34
1. (a) State Archimedes’ principle.
(b) A block of steel has dimensions as shown and has a density of 7.96 t/m3.
3 m
2 m
1 m
(i) Calculate the mass of the block.
(47.760 t)
(ii) The block is partially immersed to a depth of 36 cm in dock water RD 1.008. What load in tonnes will register on the crane gauge?
(45.583 t)
(iii) The crane driver now lowers the block so that it is fully immersed, what load in tonnes will now register on the crane gauge?
(41.712 t)
2. A box-shaped vessel has the following particulars:
length 86 m, breadth 18.2 m, depth 10 m and floats at a draught of 3.6 m in salt water (RD 1.025).
(a) Calculate the displacement of the vessel.
(5775.6 t)
(b) What draught will the vessel float at if it is towed into dock water RD 1.012?
(3.646 m)
(c) 300 tonnes of rock ballast is now loaded into the vessel whilst floating in the dock water. Calculate the new volume of displacement.
(6003.6 m3)
(c) How much more rock ballast must be loaded so that the vessel will float at it’s maximum permitted draught of 5.62 m in salt water (RD 1.025)?
(2940.7 t)
(d) How much rock ballast must be loaded to sink the vessel over a sand bank as part of a coastal protection scheme?
(7027 t)
3. (a) Define the term ‘Block coefficient’.
(b) A ship has a length at the waterline of 56.2 m and breadth of 11.6 m and floats at a draught of 3.64 m in salt water. If the vessel’s displacement is 2096 tonnes calculate the block coefficient.
(0.862)
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TUTORIAL 1 - Basic principles (MAR Rev 12/11/03)
dariusz.lipinski