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75<br />

An analytical method to calculate this ratio is developed<br />

through the use of a model that satisfies equilibrium and<br />

compatibility conditions.<br />

Hypothesis: the web is under<br />

pure bending moment and the<br />

axial deformation in each<br />

plate element of the<br />

corrugated web is negligible.<br />

δ<br />

B<br />

VIRTUAL WORKS PRINCIPLE<br />

M<br />

i<br />

⋅ M F ⋅c<br />

⋅ senα<br />

⋅c<br />

⋅ senα<br />

F ⋅c<br />

⋅ senα<br />

⎛ x ⎞ ⎛<br />

∫ dS =<br />

dx +<br />

⎜1<br />

− ⎟ ⋅ c ⋅ sen ⎜1<br />

−<br />

EJ<br />

EJ<br />

EJ<br />

⎝<br />

c<br />

⎠<br />

⎝<br />

= ∫ ∫<br />

3D<br />

α<br />

EJ S<br />

A B<br />

C<br />

x ⎞<br />

⎟dx<br />

c<br />

⎠<br />

δ<br />

3D<br />

=<br />

F ⋅c<br />

2<br />

⋅ sen α<br />

⎜<br />

⎛ a + EJ ⎝<br />

2<br />

c ⎞<br />

⎟<br />

3⎠

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