The transverse horizontal ordinates of a ship’s amidships section commencing 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 11.30m, respectively. Below the lowest ordinate there is an appendage of 8.5sq m. Find the area of the transverse section.

The transverse horizontal ordinates of a ship’s amidships section commencing 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 11.30m, respectively.

 Below the lowest ordinate there is an appendage of 8.5sq m. Find the area of the transverse section.

Reference: Ship Stability for Masters & Mates (6^th edition), Exercise – 10.10

 

Solution:

ord	SM	f(A)
16.3	1	16.3
16.3	4	65.2
16.3	2	32.6
16	4	64
15.5	2	31
14.3	4	57.2
11.3	1	11.3
		∑ = 277.6

 

A_w = h/3 * ∑f(A)

       = 1/3 * 277.6

        = 92.533 m²

Waterplane area = 92.533 + 8.5

                           = 101.033 m²