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Serviceability limit state - Eurocodes

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Direct calculation of crack width w for<br />

composite sections based on EN 1992-2<br />

G. Hanswille<br />

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

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

A s<br />

-M s<br />

N s<br />

-M a<br />

σ s,<br />

M Ed<br />

-z st,s<br />

z st<br />

crack width for high bond bars:<br />

σ<br />

α<br />

s<br />

st<br />

=<br />

M<br />

J<br />

A<br />

=<br />

A<br />

Ed<br />

st<br />

st<br />

a<br />

J<br />

J<br />

a<br />

z<br />

st<br />

st,s<br />

+ β<br />

f<br />

ρ<br />

ct,eff<br />

s<br />

c<br />

α<br />

st<br />

A<br />

ρ<br />

s<br />

s = β = 0, 4<br />

A<br />

w = s<br />

ε<br />

s<br />

sm<br />

r,max<br />

− ε<br />

r,max<br />

cm<br />

-N a<br />

( εsm<br />

− εcm)<br />

σs<br />

f<br />

− β<br />

ctm<br />

E E ρ<br />

s<br />

=<br />

s<br />

= 3,4c + 0,34<br />

s<br />

d<br />

ρ<br />

s<br />

s<br />

s<br />

(1+<br />

n<br />

o<br />

ρ<br />

s<br />

)<br />

≥<br />

0,6<br />

σ<br />

E<br />

s<br />

c - concrete cover of reinforcement<br />

37

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