3.4.3. Hydrostatic Force and Moment Due to Internal Tanks

The hydrostatic force acting on a tank is

(3–28)

where ρt is the liquid density and g is the gravitational acceleration.

The hydrostatic moment acting on the tank about the LTA origin is

(3–29)

Employing Equation 3–27 the general form of the hydrostatic force and moment with respect to the LSA origin is

(3–30)

where is of the 6x1 matrix form containing the force and moment components given by Equation 3–28 and Equation 3–29.

When a structure with internal tanks freely floats in still water, at its equilibrium position the following conditions are satisfied:

(3–31)

where ρ is the water density,   is the volume of the displacement of external water (see Equation 3–1), and is the center of buoyancy in FRA.