A ship of 11000 tonnes displacement has a moment of statical stability of 500 tonnes m when heeled 5 degrees. Find the initial metacentric height.

A ship of 11000 tonnes displacement has a moment of statical stability of 500 tonnes m when heeled 5 degrees. Find the initial metacentric height.

Reference: Ship Stability for Masters & Mates (6^th edition), Exercise – 15.8

 

Solution:

Moment of statical stability = w*GMSinθ

=> GM = moment of SS / w*Sinθ

=> GM = 500 / 11000*Sin5⁰

=> GM = 0.522 m