Caculation

Calculating the Centre of lateral resistance (CLR)

Calculating the Salt Water Displacement of a hull

ST1

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.025	4	0.1
2	0.05	2	0.1
3	0.075	4	0.3
4	0.1	1	0.1
		Sum of the functions	0.6

Sum of the functions × Common Interval/3

0.6 x 0.07/3 = 0.014

ST2

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.07	4	0.28
2	0.123	2	0.246
3	0.152	4	0.608
4	0.173	1	0.173
		Sum of the functions	1.307

1.3 x 0.15/3 = 0.065

ST3

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.08	4	0.32
2	0.145	2	0.290
3	0.195	4	0.78
4	0.22	1	0.22
		Sum of the functions	1.61

1.61 x 0.21/3 = 0.11

ST4

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.1	4	0.4
2	0.155	2	0.310
3	0.205	4	0.82
4	0.248	1	0.248
		Sum of the functions	1.78

1.78 x 0.25/3 = 0.15

ST5

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.115	4	0.46
2	0.17	2	0.340
3	0.215	4	0.86
4	0.252	1	0.252
		Sum of the functions	1.91

1.91 x 0.28/3 = 0.18

ST6

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.105	4	0.42
2	0.165	2	0.33
3	0.175	4	0.7
4	0.236	1	0.236
		Sum of the functions	1.69

1.69 x 0.28/3 = 0.16

ST7

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.09	4	0.36
2	0.135	2	0.270
3	0.17	4	0.68
4	0.201	1	0.201
		Sum of the functions	1.51

1.51 x 0.26/3 = 0.13

ST8

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.06	4	0.24
2	0.09	2	0.18
3	0.11	4	0.44
4	0.15	1	0.15
		Sum of the functions	1.01

1.01 x 0.22/3 = 0.074

ST9

Station	Ordinate In lineal Meters (M)	Simpson’s multiplying factor Sx	Function
0	0.000	1	0.000
1	0.03	4	0.12
2	0.04	2	0.08
3	0.05	4	0.2
4	0.082	1	0.082
		Sum of the functions	0.482

0.48 x 0.15/3 = 0.024