Serviceability limit state - Eurocodes
Serviceability limit state - Eurocodes
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