DieselShip's Online Content Library

Q3. A vessel of 14000 tonne displacement floats at a draught of 8 m in sea water of density 1025 kg/m³.

Further hydrostatic data for the above condition are:

Center of buoyancy above the keel (KB) = 4.456 m

Transverse metacenter above the keel (KM) = 7.715 m

Tonne per centimeter immersion (TPC) = 20

The vessel in the above condition is unstable and heels to an angle of 6º.

To restore positive stability, ballast of 640 tonne is now loaded at a Kg of 0.6 m.

Calculate EACH of the following for the final condition:

(a) The transverse metacentric height;

(b) The righting moment when the vessel is heeled to an angle of 15º.

Note: The vessel may be considered wall-sided between the limits of draught, hence:

GZ = sin θ (GM + ½ BM tan2 θ)