BM - from Waterline Inertia
Transverse metacentric radius BM from transverse moment of inertia of waterplane divided by displaced volume - fundamental stability geometry.
BM
0.36m
Formula, assumptions, and limits
I_T ≈ L · B³ · C_WP / 12 (rectangular approximation). Wider ship → much higher BM (cubic in B). Required for GM = KM − KG calculation.
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| Transverse moment of inertia of WL | m⁴ | waterplane survey | |
| Displaced volume | m³ | hydrostatics |