Page 131 - statbility for masters and mates
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Example 4
A ship of 13 750 tonnes displacement, GM 0.75 m, is listed 212 degrees to starboard and has yet to load 250 tonnes of cargo. There is space available in each side of No 3 between deck (centre of gravity, 6.1 m out from the centre line). Find how much cargo to load on each side if the ship is to be upright on completion of loading.
Load `w' tonnes to port, and (250 w) tonnes to starboard.
List 119
In triangle GG1 M:
Fig. 13.6
GG1 GM tan y
0:75 tan 2 1
2
0:75 0:0437
GG1 0:0328 m
Moments about the centre line
w d Listing moment
to port to starboard
w 6.1 6.1w ± 13750 0.0328 ± 451
250 w 6.1 ± 1525 6:1w 6.1w 1976 6:1w
If the ship is to complete loading upright, then:
Moment to port Moment to starboard
6:1 w 1976 6:1 w w 161:97 tonnes
Ans. Load 161.97 tonnes to port and 88.03 tonnes to starboard
