Exam Question
What is the significance of the area under the curve of statical stability or the GZ curve? Explain using a neat diagram, how this curve is used to assess the stability of the ship against a heeling arm (16)
Class 2 (2nd Engineer)
SC&S
📅 Jan 2024
Reference Answer
Significance of area under GZ curve:
The area under the statical stability or GZ curve up to any given angle θ, multiplied by the gravitational weight of the ship (displacement), represents the Dynamic Stability . This is the work done in heeling the ship to the angle θ, and it reflects the ship's ability to absorb the energy imparted by external forces such as waves and wind.
The stability of a ship is directly related to the nature and value of its metacentric height (GM) .
Since GM is closely associated with the Righting Lever (GZ) and the angle of heel , the statical stability curve is plotted between GZ and the angle of heel.
The area under the statical stability or GZ curve up to any given angle θ, multiplied by the gravitational weight of the ship (displacement), represents the Dynamic Stability . This is the work done in heeling the ship to the angle θ, and it reflects the ship's ability to absorb the energy imparted by external forces such as waves and wind.
The stability of a ship is directly related to the nature and value of its metacentric height (GM) .
Since GM is closely associated with the Righting Lever (GZ) and the angle of heel , the statical stability curve is plotted between GZ and the angle of heel.
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