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Serviceability limit state - Eurocodes

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Shear lag- effective width<br />

G. Hanswille<br />

Univ.-Prof. Dr.-Ing.<br />

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

real stress distribution<br />

σ max<br />

σ max<br />

b<br />

shear lag<br />

σ(y)<br />

b<br />

b<br />

ei <<br />

i<br />

0,2<br />

⎡ y ⎤<br />

σ ( y) =σ max ⎢1<br />

−<br />

b<br />

⎥<br />

⎣ i ⎦<br />

4<br />

stresses taking into<br />

account the effective<br />

width<br />

b ei<br />

b ei<br />

σ max<br />

5 b ei<br />

y<br />

b i<br />

b e<br />

The flexibility of steel or<br />

0, 2<br />

σ max<br />

bi<br />

concrete flanges affected by<br />

σ(y)<br />

shear in their plane (shear<br />

⎡b<br />

σ<br />

ei<br />

R = 1,25 ⎢<br />

lag) shall be used either by<br />

⎣ bi<br />

rigorous analysis, or by using<br />

an effective width b e<br />

y<br />

σ (y) =σ R + σ<br />

b i<br />

b<br />

ei ≥<br />

⎤<br />

− 0,2⎥<br />

σ<br />

⎦<br />

[ −σ ]<br />

σ R<br />

max<br />

R<br />

max<br />

⎡<br />

⎢1<br />

−<br />

⎣<br />

y<br />

b<br />

i<br />

⎤<br />

⎥<br />

⎦<br />

4<br />

7

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