Serviceability limit state - Eurocodes
Serviceability limit state - Eurocodes
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 />
N s<br />
w<br />
The maximum crack spacing s r,max<br />
in the<br />
stage of stabilised crack formation is twice<br />
the introduction length L es<br />
.<br />
ε<br />
ε<br />
s,2<br />
=<br />
σ<br />
E<br />
s<br />
s<br />
w = s<br />
r,max<br />
( ε<br />
sm<br />
−<br />
ε<br />
cm<br />
)<br />
ε s(x)<br />
ε c(x)<br />
f<br />
E<br />
ct<br />
c<br />
ε s(x)<br />
- ε c(x)<br />
L<br />
es<br />
=<br />
f<br />
U<br />
ctm<br />
s<br />
A<br />
τ<br />
c<br />
sm<br />
f<br />
=<br />
ρ<br />
ctm<br />
s<br />
4<br />
τ<br />
d<br />
s<br />
sm<br />
maximum crack width for s r<br />
= s r,max<br />
s r,max<br />
= 2 L es<br />
s r,min<br />
= L es<br />
β= 0,6 for short term loading<br />
β= 0,4 for long term loading and<br />
repeated loading<br />
= f d ⎛ σ f<br />
⎞<br />
w<br />
ctm s<br />
⎜ s<br />
− β<br />
ctm<br />
(1+<br />
no<br />
ρs<br />
⎟<br />
2 τ ρ ⎝ E ρ E<br />
)<br />
sm s s s s ⎠<br />
30
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