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On the relationship between maximum still water shear forces, bending moments, and radii of gyration of the total ship's weight and buoyancy forces

Abstract The correlation between maximum still water shear forces and bending moments versus the difference between radii of gyration of the gravity and buoyancy forces is studied. The radii of gyration and the still water shear forces and bending moments are calculated by analytical methods. It is shown that the difference between the two radii of gyration determines the sign and absolute values of the maximum still water shear forces and bending moments. The calculation of the radii of gyration can become a part of the ship's trimming calculations still in the early design stages, which will allow for evaluation of the maximum still water shear forces and bending moments even before performing any strength calculations. This procedure can also be used in the ship's operation. An example is given for a 47,000 DWT oil/chemical tanker.