A ship of 1500 tonnes displacement has KB 2.1m, KG 2.7m and KM 3.1m, and is floating upright in salt water. Find the list if a weight of 10 tonnes is shifted transversely across the deck through a distance of 10 metres.

A ship of 1500 tonnes displacement has KB 2.1m, KG 2.7m and KM 3.1m, and is floating upright in salt water. Find the list if a weight of 10 tonnes is shifted transversely across the deck through a distance of 10 metres.

Reference: Ship Stability for Masters & Mates (6^th edition), Exercise – 14.4

 

Solution:

GM = KM – KG = 3.1 – 2.7 = 0.4 m

GG₁ = 10*10/1500 = 0.0667 m

Tanθ = GG₁/GM

=> θ = tan^-1 (0.0667/0.4)

=> θ = 9⁰ 27`