Page 95 - statbility for masters and mates
P. 95
Simpson's Rules for areas and centroids 83
Area12 WP Area1 Area2 Area3
h=3 12 a 2b 12c c 4d 2e 4f g
12 g 2h 12 j
Area12 WP h=3 12 a 2b 112c 4d 2e 4f 112 g
combined multipliers
Example 2
2h 12 j or h=3 S1
Fig. 10.12
12 2 12 1 4 1
1 4 1 12 2 12 12 2 112 4 2 4 112 2 12
A ship's water-plane is 72 metres long and the lengths of the half-ordinates commencing from forward are as follows:
0.2, 2.2, 4.4, 5.5, 5.8, 5.9. 5.9, 5.8, 4.8, 3.5 and 0.2 metres respectively.
12 ord:
0.2 2.2 4.4 5.5 5.8 5.9 5.9 5.8 4.8 3.5 0.2
SM Area function
12 0.1 2 4.4 112 6.6 4 22.0 2 11.6 4 23.6 2 11.8 4 23.2 112 7.2 2 7.0 12 0.1
117:6 S1
