Civil Engineering Reference
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where the summation is taken from i equal to 1 to N .
As we let the number of sections tend to infinity, δy i tends to zero, and the right-hand
side becomes an integral:
(4.26)
Figure 4.26 Sectional force fluctuations on a
long cylinder.
The instantaneous fluctuating force on the body as a whole is:
Squaring both sides,
Now taking means (time averages) of both sides,
(4.27)
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