A vessel has a length of 56 m, width of 8 m and a displacement of 12 x 106 N when wholly submerged in sea water (mass density 1025 kg/m³). When a weight of 0.15 x 106 N is rolled off transversely across the deck through a distance of 5 m, the vessel tilts through 3°. The second moment of area of the water line section about its fore-and-aft axis is 75 percent of that of the circumscribing rectangle, and the centre of buoyancy is 1.6 m below the water line. Make calculations for the metacentric height and the position of the centre of gravity of the vessel.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A vessel has a length of 56 m, width of 8 m and a displacement of 12 x 106 N when wholly
submerged in sea water (mass density 1025 kg/m³). When a weight of 0.15 x 106 N is rolled
off transversely across the deck through a distance of 5 m, the vessel tilts through 3°. The
second moment of area of the water line section about its fore-and-aft axis is 75 percent of
that of the circumscribing rectangle, and the centre of buoyancy is 1.6 m below the water
line. Make calculations for the metacentric height and the position of the centre of gravity
of the vessel.
Transcribed Image Text:A vessel has a length of 56 m, width of 8 m and a displacement of 12 x 106 N when wholly submerged in sea water (mass density 1025 kg/m³). When a weight of 0.15 x 106 N is rolled off transversely across the deck through a distance of 5 m, the vessel tilts through 3°. The second moment of area of the water line section about its fore-and-aft axis is 75 percent of that of the circumscribing rectangle, and the centre of buoyancy is 1.6 m below the water line. Make calculations for the metacentric height and the position of the centre of gravity of the vessel.
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