Page 90 - statbility for masters and mates
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78 Ship Stability for Masters and Mates
equidistant intervals and then using these areas as ordinates to ®nd the volume by Simpson's Rules.
Fig. 10.7
Example
The areas of a ship's water-planes are as follows:
Draft(m) 01234 Area of WP (sq m) 650 660 662 661 660
Calculate the ship's displacement in tonnes when ¯oating in salt water at 4 metres draft. Also, if the ship's load draft is 4 metres. ®nd the FWA.
Draft (m) Area
0 650 1 660 2 662 3 661 4 660
SM Volume function
1 650 4 2640 2 1324 4 2644 1 660
7918 S1
S1 is used because it is a total; using Simpson's First Rule: