C L DUBEY – EXERCISE – 02 : Simpson’s Rule

Q7. The water plane areas of a ship at 1m intervals, commencing from the keel are as follows:

Draft (m)	0	1	2	3	4	5	6
Areas (sq.m)	5850	5885	5900	5915	5943	5975	5995

Calculate her KB and FWA at a draft of 6m.

Solution –

Draft	Area	SM	Product	Lever	Product of moment
0	5850	1	5850	0h	0h
1	5885	4	23540	1h	23540h
2	5900	2	11800	2h	23600h
3	5915	4	23660	3h	70980h
4	5943	2	11886	4h	47544h
5	5975	4	23900	5h	119500h
6	5995	1	5995	6h	35970h
			SOP = 106631		SOM = 321134h

KB = 3.012m

Volume = 3554.667
W = 36432.258

TPC = A/100 ⨯ density of water
= 61.448

We can calculate – FWA = W/40 ⨯ TPC