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Serviceability limit state - Eurocodes

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Crack width and crack spacing according<br />

Eurocode 2<br />

G. Hanswille<br />

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

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

Crack width<br />

w = s<br />

r,max<br />

( ε<br />

sm<br />

−<br />

ε<br />

cm<br />

)<br />

ε<br />

sm<br />

− ε<br />

cm<br />

=<br />

σ<br />

E<br />

s<br />

s<br />

−<br />

β<br />

f<br />

E<br />

ctm<br />

s<br />

ρ<br />

s<br />

(1+<br />

n<br />

o<br />

ρ<br />

s<br />

)<br />

≥<br />

0,6<br />

σ<br />

E<br />

s<br />

s<br />

β= 0,6 for short term loading<br />

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

Crack spacing<br />

In Eurocode 2 for the maximum crack spacing a semiempirical<br />

equation based on test results is given<br />

s<br />

s<br />

r,max = 3,4c + k1⋅<br />

k2<br />

⋅0,425<br />

d s<br />

-diameter of the bar<br />

ρs<br />

d<br />

c- concrete cover<br />

k 1<br />

k 2<br />

coefficient taking into account bond properties of<br />

the reinforcement with k 1<br />

=o,8 for high bond bars<br />

coefficient which takes into account the distribution<br />

of strains (1,0 for pur tension and 0,5 for bending)<br />

31

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