EUROCODE 2 WORKED EXAMPLES - Federbeton

EC2 – worked examples 6-58
Table of Content
Slab ultimate limit state
Verification at ULS has been performed adopting the sandwich model for shell elements.
The internal actions in a shell element at ULS are sketched in Fig. 6.49.
Fig. 649 Internal actions at ULS in a shell elements
Let us consider in this section only four elements on the whole (see Fig.6.32). The
external actions are derived from FEM model using the load step for trains which leads to
the maximum values and combining the results according to the relevant combination
formula. For the investigated elements, turns out (on brackets the notation of Fig. 6.49):
Table 6.11
Elem. h n Sd,y n Sd,x n Sd,xy m Sd,y m Sd,x m Sd,xy v Sd,y v Sd,x
( n 22 ) ( n 33 ) ( n 23 ) ( m 22 ) ( m 33 ) ( m 23 ) ( v 13 ) ( v 12 )
[m] [kN/m] [kN/m] [kN/m] [kNm/m] [kNm/m] [kNm/m] [kN/m] [kN/m]
648 1.5 -1779 -9096 5 -239 470 -14 -6 -5
93 0.963 -5746 -4610 -63 499 -671 -75 89 -150
320 1.5 -2130 -5922 10 38 3241 -13 20 47
589 1.5 -3865 -7748 -54 -1950 -4274 -41 -1124 -1095
As first step, one may design the inner layer checking if specific shear reinforcement is
required or not. In fact, it is possible to calculate the principal shear vo 2 = vx 2 + vy 2 , on the
principal shear direction ϕo (such that tan ϕ 0 = v v
y x ), and to check that it turn out:
v