# Is this mathematical model valid for any inclination angle of any floating body

Discussion in 'Stability' started by sun, Jun 10, 2022.

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### sunJunior Member

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### TANSLSenior Member

For very small inclinations, let's say less than 1 or 2 degrees (this is debatable), it can be valid. For higher inclinations, these formulas represent a simplification that, for the regulatory bodies, could be unacceptable.

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### sunJunior Member

For the regulatory bodies, is there a satisfactory calculation method？

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### TANSLSenior Member

Of course, there are several applications (not all of them, far from it) that perform these calculations with sufficient accuracy.

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### sunJunior Member

What principles are used？The shapes of marine structures are different.

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### TANSLSenior Member

the principle of archimedes, always, and the balance between weights and buoyancy ;
sum of forces = 0,
sum of moments = 0

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### sunJunior Member

The shape of the underwater part is complex, the position of the buoyancy center is difficult to determine

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### TANSLSenior Member

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### sunJunior Member

What is the theoretical method to solve the centroid of irregular body?

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### TANSLSenior Member

I don't know the theoretical method, the practical one, one of them, consists of tracing various sections, for example transversals, calculating the area and centroid of each of them and performing an integration of them within the limits of the body in question.

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### sunJunior Member

I found your talk most illuminating.

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