Three consecutive ordinates in a ship’s water-plane area are: 6.3, 3.35 and 0.75m, respectively. The common interval is 6m. Find the area contained between the last two ordinates.

Three consecutive ordinates in a ship’s water-plane area are:

6.3, 3.35 and 0.75m, respectively.

 The common interval is 6m. Find the area contained between the last two ordinates.

Reference: Ship Stability for Masters & Mates (6^th edition), Exercise – 10.9

 

Solution:

Area = h/12 * (5y₁ + 8y₂ – y₃)

          = 6/12 * (5*0.75 + 8*3.35 – 6.3)

          = 12.125 m²