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Serviceability limit state - Eurocodes

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Simplified solution for the cracking moment<br />

and the normal force in the concrete slab<br />

G. Hanswille<br />

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

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

cracking moment M cr<br />

M c+s<br />

σ c<br />

simplified solution for the normal<br />

force in the concrete slab:<br />

h c<br />

z o<br />

z i,st<br />

N c+s<br />

M cr<br />

N<br />

cr<br />

≈<br />

A<br />

c<br />

f<br />

ctm<br />

k<br />

s<br />

⋅k<br />

⋅k<br />

c<br />

primary effects due to shrinkage<br />

k = 0,8<br />

k s = 0,9<br />

coefficient taking into account the effect of<br />

non-uniform self-equilibrating stresses<br />

coefficient taking into account the slip<br />

effects of shear connection<br />

M c+s,ε<br />

N c+s,ε<br />

σ cε<br />

k<br />

c<br />

=<br />

1+<br />

1<br />

hc<br />

2 z<br />

o<br />

+<br />

0,3<br />

≤1,0<br />

cracking moment<br />

shrinkage<br />

33

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