12. INVERSE DRAUGHT SURVEY (Practical Example)

Very often, the ship's Master receives instruction from the Charterers to discharge the quantity of cargo loaded, in two or more discharging ports. The example below shows the case of two discharging ports i.e. the Master or Chief Officer in charge will compute the final draughts corresponding to the quantity of cargo that will remain on board to be discharged in the next port.

In the following example, the Master received instruction to discharge the quantity of 3292.5 metric tons in the next discharging port; i.e. the quantity of 3292.5 metric tons will remain on board.

DATA INPUT

Quantity of cargo to be discharge in the next port 3292.5
Light ship 1345.6
Ship's constant 60
Weight of consumables (Ballast,Fuel etc.) 366.5
Corrected displacement (Total) 5064.6

With 5064.6 find the ship's draught using Hydrostatic tables. Found ship's draught 5.30 metres

Add and subtract 0.50 metres from the above draught i.e. :

5.30 - 0.15 = 5.15 Find Moment to change trim MCT1 350
5.30 + 0.15 = 5.45 Find Moment to change trim MCT2 341
Difference always positive MCT1 - MCT2 9
TPC (Tons per Centim. Displacement) 10.40
Distance L.C.F.(Centre of floatation/Centre of buoyancy +1.07
Distance between draughts (Forw. /Aft.) 82.64
Distance between two perpendiculars 86.64
Distance (DF) between forw. Perp. And forw. Draught -2
Distance (DA) between aft. Perpend. And aft draught +2
TRIM on departure decided by the Master 0.81
Sea water density 1.026

The program will compute the corrected Ship's Displacement 5045.02
From Hydrostatic tables find Draught 5.625

The program will ask also the Hogging or Sagging of the vessel and print the report as follows:

DATA OUT

1 ) Quantity of the cargo to remain on board 3292.5
2 ) Ship's constant 60
3 ) Light Ship 1345.6
4 ) Displacement corrected for consumables 4698.1
5 ) Weight of consumables (Ballast, Fuel etc.) 366.5
6 ) Displacement corrected for TRIM and sea density 5064.6
7 ) Distance Forw. Perp./Forw. Draught -2
8 ) Distance Aft. Perp./ Aft. Draught +2
9 ) Distance between two perpendiculars. 86.64
10) Distance between draughts (Forw./Aft.) 82.64
11) TRIM on departure decided by the Master 0.81
12) Forward draught correction -0.0196
13) Aft. Draught Correction +0.0196
14) Corrected TRIM of the vessel 0.8492
15) MZ (mct1-mct2) OR (mct2-mct1) 9
16) Correction for ship's deflection 3.7453
17) Distance L.C.F.(Centre of floatation/amid ship) +1.07
18) T.P.C. (Tons per Cent. Displacement) 10.40
19) TRIM Correction 10.907
20) Sea water density 1.026
21) Corrected displacement 5049.9476
22) Density correction 4.9267
23) Computed displacement 5045.0209
24) Mean of Mean Draught 5.6125
25) Sagging (+) OR Hogging (-) + 0.05

RISULTATO FINALE DEI PESCAGGI

26) Amid Mean Draught 5.625
27) Forward Mean Draught 5.17
28)After Mean Draught 5.98

It is enough to read only the Amid Mean Draught 5.625. When the Chief Officer observes the above draught, he can stop the discharge and the cargo remained on board is 3292.5 and this quantity is to be delivered in the second discharging port. All measures are in metres, Volumes in cubic metres, weights in metric tons.