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

We know that – TPC = A/100 ⨯ density
= 15.2 tonnes

FWA =    W/40 ⨯ TPC
=     6690/40 ⨯ 15.2

= 11.00cm

Q3. A ship of length 300m floating at a draft of 20m has half ordinates of water plane as follows, commencing from the after perpendicular.

Station	0	1/2	1	2	3	4	5	5 1/2	6
½ ordinates	0.1	7.5	10	12	12.3	11.4	8	5.2	1.0

There is an appendage forward with an area of 2.8 m².

Find : (a) the area of the water Plane.

           (b) The TPC in SW and

            (c) The FWA at 20m draft.

Solution –

Half Ordinate	SM	Product
0.1	0.5	0.05
7.5	2	15
10	1.5	15
12	4	48
12.3	2	24.6
11.4	4	45.6
8	1.5	12
5.2	2	10.4
1.0	0.5	0.5
	SOP = 171.15

Area = 50/3  ⨯ 171.15
= 2852.5m²