Area Moment of Inertia & Stability of Floating Bodies

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SUMMARY

The discussion focuses on calculating the area moment of inertia for a ship with a mass of 5000 tonnes and two cargo containers, each weighing 73,370 kg. The ship's rectangular waterline area measures 94.85m in length and 12m in width. The key parameters provided include GM = 47.7028m, GG' = 2.5m, and sink height h = 4.41154m. The user seeks clarification on the correct values for b and h in the equation I/V = bh³/12 to determine BG.

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  • Understanding of naval architecture principles
  • Familiarity with area moment of inertia calculations
  • Knowledge of ship stability concepts
  • Proficiency in using equations related to buoyancy and stability
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  • Study the calculation of area moments of inertia in naval architecture
  • Research the relationship between GM, BG, and stability in floating bodies
  • Learn about the significance of the rectangular waterline area in stability analysis
  • Explore advanced stability criteria for ships and floating structures
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Naval architects, marine engineers, and students studying ship stability and buoyancy calculations will benefit from this discussion.

lirexin
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Just totally confused which value to use to get the area moments of inertia with this question

The ship was initially looks like this the mass of the ship is 5000 tonnes two heavy cargocontainers each of mass 73,370 Kg each
assume that the ship has a rectangular waterline area, with length 94.85m and width 12m

123123.jpg


12.jpg


The question is asking the length of BG and hence find the length of G'B'
Ive been told that GM=47.7028(m) GG'=2.5(m) h=4.41154(m)(sink height) the angle is 3(degree)
What I've done was using the equation GM = I/V-BG then BG = I/V-GM
For the I/V part I = bh^3/12 from the textbook the problem is which value is b and which value is h?
 
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Any one help
 

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