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Calculating KB, BM, and metacentric diagrams 101
Fig. 12.2
The distance of the centroid of DABC below AD is the distance of the centre of buoyancy below the load waterline. It is now assumed that the centroid of the area DAHC is the same distance below the load waterline as the centroid of area DABC.
To ®nd the distance of the centroid of area DAHC below AD.
Area AGH 12 AGEGH Area AGED AGEAD
1 GH 2AD
1 GF 2AF
1 AF AG 2 AF
1 d AG 2d
; Area AGH 1 d V/A Area AGED 1V2d
The centroid of AGED is 2 A from AD.
Now let triangle AGH be shifted to HEC.
The centroid of AGED will move parallel to the shift of the centroid of
AGH and the vertical component of this shift (x) is given by:
