Stability – I : Chapter 11

  1. A ship of W 10000t. GM 1.5m, is listed 5 degree to stbd . If cargo is shifted vertically until her final GM is 0.5m, state whether the list would change . if yes find the new list .
Solution :

Displacement (W) = 10000t,
GM = 1.5m,
list = 5 degree

Final GM = 0.5m

We know that :
Listing moment (LM)= (W x GM tanθ)
= (10000 x 1.5 x tan50 )
= 1312.33 tm (S)

According to question,  cargo shift vertically and now  GM becomes  0.5 m
Hence, Due to change of GM , list must be change .

We know that:
Tanθ  =  LM / (W x GM)
= 1312.33/(10000 x 0.5)
=    14.7dgree stbd

  1. A ship of W 8500t, KM 9.0m, KG 8.3 , is listed 8 to stbd . The following cargo operation were carried out :
  • 200 t discharge KG 4m from 5m stbd of CL .
  • 300t discharged KG 5m from 2m port of CL .
  • 100t loaded KG 2m, 4m to stbd of CL .
  • 200t shifted up by 2m and port by 3m.

If the final KM is 9.3m , find the final list .

Solution:

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