Miscelleneous

Stability – I : Chapter 10

  1. A vessel has a deep tank on the starboard side 12m long 9m wide which is partly full of coconut oil of RD 0.72 . If W = 1200 t , KM = 9m and KG = 8.5m , find the GM fluid .
Solution:

L = 12m, B = 9m, RD = 0.72
W = 12000 t, KM = 9m  & KG = 8.5m

GM (solid) = (KM – KG)
= (9 – 8.5)
= 0.5m

We know that:

FSC = (i di /W )
= (LB3 x  di ) / (12 x W )
= (12 x 93 x 0.72) / (12 x 1200)
= 0.044m

Fluid GM = GM (solid) -FSC
= (0.5 – 0.044)
= 0.456m.

  1. A vessel displacing 8000t , has a rectangular deep tank 10m long 8m wide and 9m deep full of SW . The KM is 7m and KG 6.2m. Find the GM when 1 / 3 of this tank as pumped out.
Solution:

W = 8000t.
L = 10m, B = 8m &   D = 9m
RD = 1.025, KM = 7m, KG = 6.2m

Mass of the tank = (Volume x Density)
= (L x B x D) x 1.025
= (10 x 8 x 9) x (1.025)
=     738t

According   to question, 1/3 of water pumped out
= (1/3 x738)
= 246t

After pumping out the water the KG of the tank = (6 + 1.5)
= 7.5m

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