Features of a GZ Curve GZf Curve 0

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Features of a GZ Curve

Features of a GZ Curve

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) GZf GMf

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) GZf GMf 0. 1 0 0 10 20 30 40 50 -0. 1 -0. 2 Heel (degrees) 60 70 80 90 100

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) GZf GMf

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) GZf GMf 0. 1 0 0 10 20 30 40 50 -0. 1 -0. 2 Heel (degrees) 60 70 80 90 100

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) 0. 1

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) 0. 1 0 0 10 20 30 40 50 -0. 1 -0. 2 Heel (degrees) The area under the curve is a measure of the Work or effort required to heel the vessel. The larger the area, the more work required and therefore the vessel will be more stable. There are minimum areas required for: • Area from 0° to 30°, • Area from 0° to 40°, and • Area from 30° to 40°. If there is a vent or weather tight opening submerged at an angle less than 40°, then this 60 70 80 90 100 angle is used instead of 40°. GZf

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) 0. 1

GZf Curve 0. 5 0. 4 0. 3 0. 2 GZf (metres) 0. 1 0 0 10 20 30 40 50 Heel is caused by an external force such as wind and waves. List is caused by internal imbalance of weight such as 60 70 80 90 100 shifting cargo or ballast. -0. 1 -0. 2 Heel (degrees) GZf GMf

The angle of vanishing stability is the angle where the vessel will capsize if

The angle of vanishing stability is the angle where the vessel will capsize if it were to heel further.

The vessel has positive stability

The vessel has positive stability

GZf Curve 0. 5 GZf is the fluid righting lever. This is the horizontal

GZf Curve 0. 5 GZf is the fluid righting lever. This is the horizontal distance between the two vertical forces Gravity and Buoyancy. The righting lever causes or tends to cause the vessel to return upright when subjected to an external force provided the vessel has positive stability. 0. 4 0. 3 0. 2 GZf (metres) 0. 1 0 0 10 20 30 40 50 -0. 1 -0. 2 Heel (degrees) 60 70 80 90 100 GZf GMf

GZf Curve 0. 5 The maximum GZ is the maximum righting lever. The maximum

GZf Curve 0. 5 The maximum GZ is the maximum righting lever. The maximum GZ must occur at an angle of heel greater than 40°. 0. 4 0. 3 0. 2 GZf (metres) GZf GMf 0. 1 0 0 -0. 1 -0. 2 10 20 30 40 50 60 Maximum GZ at this angle of heel Heel (degrees) 70 80 90 100

The inflexion point is where the slope of the graph stops rising. Deck edge

The inflexion point is where the slope of the graph stops rising. Deck edge submerges at this angle

GZf Curve 0. 5 GMf The fluid GM is plotted at 57. 3° (1

GZf Curve 0. 5 GMf The fluid GM is plotted at 57. 3° (1 radian) The initial slope of the GZ graph matches the angle of the GM line. 0. 4 0. 3 0. 2 GZf (metres) GZf GMf 0. 1 0 0 -0. 1 -0. 2 10 20 30 40 50 60 57. 3° Heel (degrees) 70 80 90 100

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