Vereschagin's rule
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Vereschagin's rule enables to easily calculate the integral
<tex>\int_0^L M \overline{M} dx</tex>
that is needed to solve statically indeterminate structures using the flexibility method.
The integral can be calculated as follows:
<tex>\int_0^L M \overline{M} dx = A_M \overline{M}_{cg}</tex>
where
- <tex>A_M</tex> is the area under the curve M
- <tex>\overline{M}_{cg}</tex> is value of <tex>\overline{M}</tex> at the location of center of gravity of the area <tex>A_M</tex>
The value of <tex>\overline{M}_{cg}</tex> must be determined for a constant or liner function.
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