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Serviceability limit state - Eurocodes

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N s<br />

Determination of initial crack width<br />

w<br />

N s<br />

crack width<br />

G. Hanswille<br />

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

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

ε<br />

ε s,m<br />

ε s<br />

(x)<br />

ε c<br />

(x)<br />

ε s,2<br />

Δε s,cr<br />

w = 2L<br />

es<br />

( ε<br />

sm<br />

− ε<br />

cm<br />

εs ,m − εcm<br />

= ( 1− β)<br />

εs,2<br />

)<br />

ε c,m<br />

ε cr<br />

L es<br />

L es<br />

L<br />

es<br />

=<br />

σs<br />

d<br />

4 τ<br />

s<br />

sm<br />

1<br />

1+<br />

n ρ<br />

o<br />

s<br />

σ s<br />

τsm<br />

≈ 1,8 f ctm<br />

σ s,m<br />

βΔσ s<br />

Δσ s<br />

L es<br />

L es<br />

σ s<br />

σ s,1<br />

σ c,1<br />

x<br />

2<br />

(1− β)<br />

σs<br />

d<br />

w =<br />

s<br />

2 τsm<br />

Es<br />

1<br />

1+<br />

no<br />

ρs<br />

with β= 0,6 for short term loading und<br />

β= 0,4 for long term loading<br />

27

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