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but therefore or
Stability and hydrostatic curves 165
YZ2 GZ
G2Z2 GZ G2Y
Corrected GZ Tabulated GZ Correction Also, in triangle GG2Y:
the correction is to be added to the tabulated GZ.
G2Y GG2 siny Correction GG2 sin heel
or
It will be seen that this is similar to the previous result except that in this case
Fig. 16.2(b)
Example 2
Using the Stability Cross Curves for M.V. `Tanker', ®nd the GZs at 15-degree intervals between 0 degrees and 90 degrees when the displacement is 38 000 tonnes and the KG is 8.5 metres.
Heel Tabulated GZ (KG 9 m)
0 0 15 0.81 30 1.90 45 2.24 60 1.70 75 0.68 90 0.49
Correction (GG1 sin y )
Correct GZ (KG 8.5 m)
0 0 0
0.5 0
0.5 0.259 0.5 0.5 0.5 0.707 0.5 0.866 0.5 0.966 0.5 1.000
0
0:129 0:250 0:353 0:433 0:483 0:500
0.81 0.13 1.90 0.25 2.24 0.35 1.70 0.43 0.68 0.48
0:94 2:15 2:59 2:13 1:16
0.49 0.50 0:01