= 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 |
Moment = 3/3 ⨯ 1179.2
= 1179.2
Area = 3/3 ⨯ 204.6
= 204.6
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