QUESTION 2 - [24 marks]
A barge with rectangular hull has an un-laden mass of 6601 tons with a length =140m, breadth
=23m and a height =14m. The barge is loaded with two different cargos. The first cargo is loaded
on top of the deck of the barge and increases the draft in sea water by 4 meter.
The centre of gravity of the un-laden vessel is 4 meters from the keel and the centre of gravity of
the first cargo lays 2 meters above the deck. Both centre of gravities lay along the longitudinal
centre line of the vessel.
The second cargo is a slurry with a density of 1.75to(n)/(m^(3)) which is pumped into the hull to adjust
the metacentric height (GM) to positive 0.75 meter. \rho seawater =1025k(g)/(m^(3))
Calculate:
2.1GM=-0.0375D^(2)+0.9056D-1.27962 find the value for D when GMGM=0.75m D= the increase in draft as the slurry is pumped into the hull.GM=0.75 meter is correct using the conventional formulae using the
value of D calculated in Question 2.2, If the slurry fills the bottom of the barge to 2 meters. [14]