m - ACES
m - ACES
m - ACES
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76<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 />
∆<br />
3D<br />
2 2<br />
F ⋅c<br />
⋅ sen α ⎛<br />
= 48 ⎜a<br />
+<br />
3<br />
E ⋅t<br />
⋅ H ⎝<br />
∆<br />
FLAT<br />
=<br />
w<br />
F ⋅ L<br />
H ⋅t<br />
w<br />
h<br />
⋅ E<br />
c ⎞<br />
⎟<br />
3 ⎠<br />
r<br />
eq<br />
=<br />
∆<br />
∆<br />
=<br />
48⋅c<br />
L<br />
2<br />
⋅ sen α ⎛<br />
⎜ a +<br />
2<br />
⋅t<br />
⎝ 3<br />
2<br />
3D<br />
c<br />
flat<br />
h<br />
w<br />
⎞<br />
⎟<br />
⎠
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