A wind force distributed against the side of a skyscraper is measured as
Height l, m | 0 | 30 | 60 | 90 | 120 |
Force, F(l ), N/m | 0 | 340 | 1200 | 1600 | 2700 |
Height l, m | 150 | 180 | 210 | 240 |
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Force, F(l ), N/m | 3100 | 3200 | 3500 | 3800 |
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Compute the net force and the line of action due to this distributed wind.
By using the composite Simpson’s rule we find the net force F.
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The composite Simpson’s rule to compute
Therefore, the net force is
Next we find by using Simpson’s
rule.
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| | 0 |
| | 10200 |
| | 72000 |
| | 144000 |
| | 324000 |
| | 465000 |
| | 576000 |
| | 735000 |
| | 912000 |
The composite Simpson’s rule to compute
Therefore,
The value of d by using composite Simpson’s rule:
Therefore, the line of action,