Stability – I : Chapter 11

  1. A ship displacing 4000t has GM 1.0m (KM 10.0 m and KG 9.0 m) and is listed 10 degree to port .If 16000t of cargo is now loaded on the centre line and the final GM is 1.0m KM 9.0m and KG 8.0m state weather the list would change .if yes , find the new list .
Solution :

Displacement (W) = 4000t,
GM = 1.0m (initial) ,
list  = 10 degree (P)
W = 16000t, G
M = 1.0m (final)

We know that:
Listing moment (LM) = (W x GM tanθ)
= (4000 x 1 x tan 100)
= 705.3 tm

According to question ,  16000 t  of cargo loaded
So Final W = (16000 + 4000)
= 20,000t

But, Initial  GM = Final GM
Initial LM = Final LM

Again we know  that :
Tanθ = (FLM/(W x GM )
= 705.3/(20000 x 1)
= 2 degree 1 minute ( P).

Hence we can say that,(Yes) list would change due to the loading of cargo.

About the author

Vikrant_sharma

5 Comments

Leave a Comment