How to Calculate Metacentric Height for Stability of a Floating Body?

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SUMMARY

The discussion centers on calculating the Metacentric Height (MH) for stability in floating bodies, specifically a pontoon. Key parameters provided include a total weight of 2.447 kgf, adjustable weight of 0.204 kgf, breadth of 360 mm, height of the metacentre above the centre of buoyancy at 1.041 m, depth of immersion at 3.33 m, and depth of the centre of buoyancy at 19.4 mm. The calculation of MH is essential for determining the stability of the pontoon, which involves identifying the centre of gravity of the loaded structure. Proper unit consistency is critical in these calculations.

PREREQUISITES
  • Understanding of Fluid Mechanics principles
  • Knowledge of buoyancy and stability concepts
  • Familiarity with the calculation of centre of gravity
  • Ability to work with metric units (meters and millimeters)
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  • Study the calculation methods for Metacentric Height in floating bodies
  • Learn about the principles of buoyancy and stability in Fluid Mechanics
  • Explore how to determine the centre of gravity for irregular shapes
  • Review unit conversion techniques to ensure consistency in calculations
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Students and professionals in naval architecture, marine engineering, and fluid mechanics, particularly those involved in the design and stability analysis of floating structures.

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Hi

i am not goin goin going to lie Fluid Mechanics is not my strongest subject.

Im struggling to calculate the Metacentric height.

Ive got the following:

Total weight of assembly (W) = 2.447kgf
Ajustible weight (w) = 0.204kgf
Breadth of pontoon (L) = 360mm
Height of metacentre above centre of buoyancy = 1.041m
Depth of immersion =3.33
Depth of centre of buoyancy = 19.4mm

i have other calcs, but need someone to show how to work out to get Metacentric height.

Any help will be great. Thanks
 
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I've forgotten anything I learned in fluid mechanics. :redface: but I do remember the term Metacentric Height! Wiki reminds me that MH is the distance of the metacentre above the centre of gravity. So, looks like it comes down to pinpointing the centre of gravity of your loaded pontoon.

Can those other data give any help to this?

BTW, are you lacking care with units? You have m, mm, and none mixed in there.
 

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