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Serviceability limit state - Eurocodes

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G. Hanswille<br />

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

Influence of tension stiffening on flexural stiffness<br />

Institute for Steel and<br />

Composite Structures<br />

University of Wuppertal-Germany<br />

N s<br />

ε sm<br />

Curvature:<br />

z st<br />

a<br />

-M s<br />

-M a<br />

-M<br />

κ<br />

-N a<br />

ε a<br />

κ =<br />

E<br />

st<br />

M<br />

I<br />

2,ts<br />

M<br />

=<br />

a<br />

E J<br />

st<br />

a<br />

Effective flexural<br />

stiffness:<br />

M−<br />

N<br />

=<br />

E J<br />

st<br />

s<br />

a<br />

a<br />

M<br />

EJ<br />

E<br />

st<br />

J<br />

2,ts<br />

=<br />

Ea<br />

Ja<br />

(Ns<br />

− N<br />

1−<br />

M<br />

s, ε<br />

)<br />

a<br />

E st<br />

J 2<br />

E st<br />

J 2,ts<br />

E st<br />

J 1<br />

κ<br />

E st J 1<br />

E st J 2,ts<br />

E st J 2<br />

M R<br />

M Rn<br />

M<br />

E st J 1 uncracked section<br />

E st J 2 fully cracked section<br />

E st J 2,ts effective flexural<br />

stiffness taking into<br />

account tension<br />

stiffening of concrete<br />

17

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