Miscelleneous

Stability – I : Chapter 10

  1. On a ship of 5000 t displacement , a tank is partly full of DO of RD 0.88. If the moment of inertia of the tank about its centreline is 242m4 , find the FSC .
Solution:

W = 5000t, RD = 0.88, I = 242m4

We know that :
FSC = (i di /W )
= (242 x 0.88 ) /5000
= 0.042m.

  1. If the tank in Question 1 was partly full of SW instead of DO, find the FSC.
Solution:

RD = 1.025

We know that:
FSC = (i di/W )
= (242 x1.025) /5000
= 0.049m.

  1. On a ship of W 6000 t, KM 7.4m, KG 6.6m, a double bottom tank of i 1200m4 is partly full of FW . Find the GM fluid .
Solution:

W = 6000 t & KM = 7.4m,
KG = 6.6m, i = 1200m4, RD = 1.00

GM (solid) = (KM – KG)
= (7.4 – 6.6)
= 0.8m

We know that:

FSC = (i di /W )
= (1200 x 1) /6000
= 0.2m

Fluid GM = GM (solid) – FSC
= (0.8 – 0.2)
= 0.6m

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