A shift of inclining weight or in other words an inclining
moment due to such a shift may be related to a ships stabilizing moment as
follows.
w x d = Δ x GM Tan θ (1)
Of all the quantities in the above equation, only GM is
the unknown.
Thus,
GM = w x d /( Δ x Tan θ) (2)
This is the governing equation for an inclining
experiment. Thus we relate the inclining moment w x d to GM and isolate GM from
the exercise. Once GM is known, we may easily deduce KG (VCG) by relating the
height of metacenter KM to GM as
KM = KG + GM (3)
KM can be obtained from the hydrostatic tables. GM is
deduced as explained earlier. The KG can be determined as
KG = KM – GM (4)
This KG is the effective KG inclusive of the weights to go
off board. This KG is corrected for,
i. Weights to go off board
ii. Weights to go onboard
iii. Weights to be re located
This will yield the actual lightship particulars of the
ship. The weights to go off board shall consist of people onboard, any
equipment to be offloaded, partially or fully filled tanks and the inclining
weights (if a tank is partially filled its weight & FSM shall be deducted).
The weights to go onboard shall contain those things that are part of the ship
but currently off board.