Stability – I : Chapter 11

  1. A quantity of grain estimated to be 100t shifts transeversly by 12m and upwards by 1.5m, on a ship of W 12000t , GM 1.2m. Find the list caused.
Solution:

Grain shifted (w) = 100t,
Distance = 12m & transversely, d = 1.5( î)
W = 12000 t, GM = 1.2m

LM caused = (weight x distance)
= (100 x 12)
= 1200 tm

GG1 (î) = (distance x weight) /W
= (1.5 x 100) / 12000
= 0.0125 m

Final GM =  (GM – GG1)
= (1.2 – 0.0125)m
= 1.1875m

Tanθ = LM /(W x GM )
= 1200/(12000 x 1.1875)
= 4 degree 8’.

  1. A ship displaces 4950t and has KG 4.85m, KM 5.79m. cargo weighing 50t is loaded 1.25m above the keel and 4m port of the centre line . Find the list
Solution:

W = 4950 t ,
KG = 4.85m 
KM = 5.79m
Weight loaded (w) = 50 t
KG = 1.25m 
d = 4 m to CL to port

LM caused = (weight x distance )
= (50 x 4)
= 200 tm to port .

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