Page 183 - statbility for masters and mates

Example 2
Construct the curve of statical stability for the M.V. `Cargo-Carrier' when the displacement is 35 000 tonnes and KG is 9 metres. From the curve you have constructed ®nd the following:
(a) The range of stability,
(b) The angle of vanishing stability,
(c) The maximum righting lever and the angle of the heel at which it occurs,
and
(d) The approximate initial metacentric height.
From the Stability Cross Curves:
Heel y KN siny 5 0.9 0.087
10 2.0 0.174 15 3.2 0.259 20 4.4 0.342 30 6.5 0.500 45 8.75 0.707 60 9.7 0.866 75 9.4 0.966 90 8.4 1.000
KG siny 0.783
1.566 2.331 3.078 4.500 6.363 7.794 8.694 9.000
GZ KN KGsiny 0.12
0.43 0.87 1.32 2.00 2.39 1.91 0.71
0.60
Stability and hydrostatic curves 171
Fig. 16.6(b). This is the curve of statical stability
Answers from the curve:
(a) Range of stability 0 to 83 3 ,
4 3
(b) Angle of vanishing stability 83 4 ,
(c) Maximum GZ 2.39 m occurring at 45 heel, (d) Approximate GM 1.4 m.