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Serviceability limit state - Eurocodes

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Crack width for stabilised crack formation<br />

G. Hanswille<br />

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

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

f<br />

E<br />

N s<br />

ct<br />

c<br />

ε<br />

ε<br />

s,2<br />

ε s(x)<br />

ε c(x)<br />

σ<br />

=<br />

E<br />

s2<br />

s<br />

s r,max<br />

= 2 L es<br />

w<br />

β= 0,6 for short term loading<br />

β= 0,4 for long term loading and<br />

repeated loading<br />

Crack width for high bond bars<br />

w = sr,max<br />

( εsm<br />

− εcm)<br />

Mean strain of reinforcement and<br />

concrete:<br />

εs,m<br />

= εs,2<br />

− β Δ εs<br />

A<br />

ε s(x)<br />

- ε<br />

c fctm<br />

f<br />

c(x) εs,m<br />

= εs,2<br />

− β = εs,2<br />

− β<br />

Es<br />

As<br />

Es<br />

ρ<br />

f<br />

ε<br />

ctm<br />

cm =β<br />

Ec<br />

s r,min<br />

= L es<br />

ε<br />

sm<br />

− ε<br />

cm<br />

=<br />

σ<br />

E<br />

s<br />

s<br />

f<br />

− β<br />

E<br />

ctm<br />

s<br />

ρ<br />

s<br />

(1+<br />

n<br />

o<br />

ρ<br />

s<br />

ctm<br />

)<br />

s<br />

29

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