Miscelleneous

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

= 14.82cm
Q8. The breadths of a bulkhead, at 3.0m intervals from the top, are : 19.2, 18.0, 17.1, 16.2, 14.4, 12.0, 9.3 and 6.0 m. Find the distance of its geometric cente from the top. (use Simpson’s I Rule for first five ordinates and II rule for remaining ordinates).
Solution –
Ordinate
SM
Product
Lever    
moment
19.2 1 19.2 0h 0
18.0 4 72.0 3h 216
17.1 2 34.2 6h 205.2
16.2 4 64.8 9h 583.2
14.4 1 14.4 12h 172.8
    SOP = 204.6   SOM = 1179.2h

SSR 05

Moment = 3/3 ⨯ 1179.2
= 1179.2

Area = 3/3 ⨯ 204.6
= 204.6

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