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Serviceability limit state - Eurocodes

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Effects of cracking of concrete and tension<br />

stiffening of concrete between cracks<br />

G. Hanswille<br />

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

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

N s<br />

N sy<br />

mean strain ε sm<br />

=ε s,2<br />

- βΔε s,r<br />

Δε<br />

s<br />

f<br />

= β<br />

ρ<br />

β =0,4<br />

ct,eff<br />

s<br />

E<br />

s<br />

σ c<br />

(x)<br />

σ s<br />

(x)<br />

σ c<br />

(x)<br />

τ v<br />

σ s,2<br />

Δεs = βΔε s,r<br />

ρ<br />

s<br />

= A<br />

s<br />

/ A<br />

c<br />

σ c<br />

(x)<br />

N sm<br />

Δε s,r<br />

fully<br />

cracked<br />

section<br />

ε sr,1<br />

ε sr,2<br />

ε sm,y<br />

ε sy<br />

N s<br />

ε<br />

ε<br />

s,2<br />

σ s<br />

(x)<br />

σ<br />

=<br />

E<br />

s2<br />

s<br />

N s<br />

N s,cr<br />

B C<br />

A<br />

stage A:<br />

stage B:<br />

stage C:<br />

uncracked section<br />

initial crack formation<br />

stabilised crack formation<br />

ε sm<br />

f<br />

E<br />

ct<br />

c<br />

ε s(x)<br />

ε c(x)<br />

βΔε s,r<br />

x<br />

13

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