When a ship of 12000 tonnes displacement is heeled 5(1/4) degrees the moment of statical stability is 300 tonnes m, KG 7.5m. Find the height of the metacentre above the keel.

When a ship of 12000 tonnes displacement is heeled 5(1/4) degrees the moment of statical stability is 300 tonnes m, KG 7.5m. Find the height of the metacentre above the keel.

Reference: Ship Stability for Masters & Mates (6^th edition), Exercise – 15.2

 

Solution:

 

Moment of Statical Stability = w*GMSin θ

=> GM = moment of SS/w*Sin θ

=> GM = 300/ (12000*Sin (21/4)⁰ )

=> GM = 0.27 m

 

KM = KG + GM

=> KM = 7.5 + 0.27

=> KM = 7.77 m