Page 102 - statbility for masters and mates

90
Ship Stability for Masters and Mates
The lever of zero was at the keel so the ®nal answer was relative to this point, i.e. above base.
If we Simpsonize 12 ords we will obtain areas.
If we Simpsonize areas we will obtain volumes.
Example 2
A ship is ¯oating upright in S.W. on an even keel at 7 m draft F And A. The TPC's are as follows:
Draft(m) 1234567 TPC (tonnes) 60 60.3 60.5 60.5 60.5 60.5 60.5
The volume between the outer bottom and 1m draft is 3044cu.m, and its centre of gravity is 0.5 m above the keel. Find the ship's KB.
Fig. 10.19
In Figure 10.19:
Let KY represent the height of the centre of gravity of volume A above the keel, and KZ represent the height of the centre of gravity of volume B above the keel.
Let X 100 then the area of each water-plane is equal to TPC X sq m 1:025
S1 denotes the ®rst total. S2 denotes the second total.
}see Table below
Draft Area
7 60.5 6 60.5 5 60.5 4 60.5 3 60.5 2 60.3 1 60.0
SM Volume function
1 60.5 4 242.0 2 121.0 4 242.0 2 121.0 4 241.2 1 60.0
1087:7 S1
Levers 1 m
0 1 2 3 4 5 6
Moment function
0 242.0 242.0 726.0 484.0
1206.0 360.0
3260:0 S2