On the Calculation of Deflection of Ship's Hull

Abstract

The ordinary method of calculating the deflection of the hull of a ship floating in still water depends on solving the fundamental equation; [numerical formula] where y(x) is the deflection of hull, I(x) the moment of inertia of hull section, E the effective Young's modulus, and w(x) the load due to the difference of the ship's buoyancy and weight. This method is quite satisfactory for giving the deflection, but cannot give the correct draught line of the deflecated ship, and furthermore needs often tedious successive calculations to adjust correctly the ship's trimming in its floating state. The author found another method based on variational principle. The method has advantage that the actual draught line is obtianed together with the actual deflection.