Exam Question

A ship of length 120m displaces 11750 tonne when floating in sea water of density 1025 kg/m3. The centre of gravity is 2m above the centre of buovanoy and the waterplane is defined by the following equidistant half breadths given in table below:

Section: AP 1 2 3 4 5 6 7 FP

Half-breadth (m) 3.3 6.8 7.6 8.1 8.1 8.0 6.6 2.8 0

Calculate EACH of the following:

(a) The area of the waterplane (3)

(b) The position of the centroid of the waterplane from midships (3)

(c) The second moment of area of the waterplane about a transverse axis through the centroid (5)

(d) The moment to change trim one centimetre (MCT1cm) (5)