Page 105 - statbility for masters and mates

Simpson's Rules for areas and centroids 93
Below the inner bottom is an appendage 1 metre deep which has a mean area of 650 sq m. The load draft is 7 metres. Find the load displacement in salt water, the Fresh Water Allowance, and the height of the centre of buoyancy above the keel.
8 A ship's water-plane is 80 metres long. The breadths commencing from forward are as follows:
0, 3.05, 7.1, 9.4, 10.2, 10.36, 10.3, 10.0, 8.84, 5.75 and 0 m respectively.
The space between the ®rst three and the last three ordinates is half of that between the other ordinates. Calculate the area of the water-plane, and the position of the centre of ¯otation.
9 Three consecutive ordinates in a ship's water-plane area are: 6.3, 3.35, and 0.75 m respectively.
The common interval is 6 m. Find the area contained between the last two
ordinates.
10 The transverse horizontal ordinates of a ship's midships section commen-
cing from the load waterline and spaced at 1 metre intervals are as follows:
16.30, 16.30, 16.30, 16.00, 15.50, 14.30, and 11.30 m respectively.
Below the lowest ordinate there is an appendage of 8.5 sq m. Find the area
of the transverse section.
11 The following table gives the area of a ship's water-plane at various drafts:
Draft(m) 6 7 8
Area(sq m) 700 760 800
Find the volume of displacement and approximate mean TPC between the drafts of 7 and 8 m.
12 The areas of a ship's water-planes, commencing from the load water-plane and spaced 1 metre apart, are as follows:
800, 760, 700, 600, 450, and 10 sq m respectively.
Midway between the lowest two water-planes the area is 180 sq m. Find the load displacement in salt water, and the height of the centre of buoyancy above the keel.