Serviceability limit state - Eurocodes

Differential equations in case of incomplete
interaction
G. Hanswille
Univ.-Prof. Dr.-Ing.
Institute for Steel and
Composite Structures
University of Wuppertal-Germany
a
z a
(w)
E c
, A c
, J c
v L
a c N c
z c
v L
a a
E a
, A a
, J a
M c
M a
N a
V a
V c
V c
+dV c
M c
+ dM c
N c
+dN c
M a
+ dM a
N a
+dN a
u
u
,
′
c u c
,
′
a u a
= ε
= ε
a
c
Slip:
sv = ua
−uc
+ w′
a
x
Ec
Ac
Ea
Aa
(Ec
Jc
c
V a
+dV a
dx
u′′
c + cs
(ua
−uc
+ w′
a) = 0
u′′
c − cs
(ua
−uc
+ w′
a) = 0
+ Ea
Ja
) w′′′′
− cs
a(u′
a − u′
c + w′′
a) = q
N = E A u′
a
c
a
c
N = E A u′
a
a
c
Mc = − Ec
Jc
w ′′
Ma = −Ea
Ja
w ′′
V
c
= −E
c
J
c
Va = −EaJa
w′′
′
w′′′
≈ 0
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