Stability – I : Chapter 11

Case -1

To bring the ship upright the stbd LM must be equal to port side LM.

LM = (Weight  x Distance)
3173.88 tm  =  ( W x 12)

Hence W = (3173.88/ 12)
= 264.49 t

Case -2

Volume of the tank = (L x B x D)
= (12 x 12 x 9)
= 1296m3

Now, Weight of FW on stbd tank = (Volume x Density)
= (1296 x 1)
= 1296 t.

Now, calculating 1/3 of mass of FW
= (1296 x 1/3)
= 432t.

Ship’s wt KG VM LM
10000 9.0 90000 3173.88 S
432 6t (-) 2592 5184.00 P

Final W = 10000                       Final VM = 87408 tm           2010.12 P

Final KG = (Final VM/Final W)
Final KG =   (87408/10000)
= 8.741m

Solid GM = (KM – KG)
= (10.8 – 8.741)
= 2.059m

We know that :

FSC = (LB3 x di) / (12 x W)
= (12 x 12x 1) /(12 x 10000)
= 0.3456m

Fluid GM = (2.059 – 0.3456)

tanθ  = (2010.12/(10,000 x 1.7134)
=6.69 degree P

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