Problem

A wind force distributed against the side of a sky­scraper is measured as Height l, m03...

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

 

Force, F(l ), N/m

3100

3200

3500

3800

 

Compute the net force and the line of action due to this dis­tributed wind.

Step-by-Step Solution

Solution 1

By using the composite Simpson’s rule we find the net force F.

values

The composite Simpson’s rule to compute

Therefore, the net force is

Next we find by using Simpson’s rule.

values

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,

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