EUROCODE 2 WORKED EXAMPLES - Federbeton

EC2 – worked examples 6-61
Table of Content
Top Layer Design Bottom Layer Design
Elem. σ c f cd1/2 A sy A sx σ c f cd1/2 A sy A sx
[MPa] [kN/m] [cm 2 /m] [cm 2 /m] [MPa] [kN/m] [cm 2 /m] [cm 2 /m]
648 -35.0 -17.1 0.0 0.0 -30.0 -17.1 0.0 0.0
93 -24.9 -17.1 0.0 0.0 -22.4 -17.1 0.0 0.0
320 -38.2 -17.1 0.0 0.0 -7.4 -17.1 0.0 0.0
589 -11.3 -12.0 25.2 18.9 -45.6 -17.1 0.0 0.0
It can be notice that verification for concrete in compression is not satisfied for any layers
except for element 589 top layer and element 320 bottom layer. Thus, an increasing of
layer thickness is required and new values of plate actions are obtained:
Table 6.15
Elem. h ts ti tc ys yi z n Sdy,s n Sdx,s vSd,s n Sdy,i n Sdx,i vSd,i [m] [m] [m] [m] [m] [m] [m] [kN/m] [kN/m] [kN/m] [kN/m] [kN/m] [kN/m]
648 1.5 0.300 0.240 0.960 0.600 0.630 1.230 -716.6 -5040.8 14.1 -1062.0 -4054.7 -8.8
93 0.963 0.220 0.190 0.553 0.372 0.387 0.758 -3588.5 -1465.5 66.5 -2157.8 -3144.8 -129.4
320 1.5 0.340 0.140 1.020 0.580 0.680 1.260 -1179.8 -5768.3 16.0 -950.6 -153.8 -5.5
589 1.5 0.140 0.430 0.930 0.680 0.535 1.215 708.7 870.1 794.7 -2962.5 -7090.0 720.0
which lead to the following values:
Table 6.16
Top Layer Design Bottom Layer Design
Elem. σc f cd1/2 Asy Asx σc f cd1/2 Asy Asx [MPa] [kN/m] [cm 2 /m] [cm 2 /m] [MPa] [kN/m] [cm 2 /m] [cm 2 /m]
648 -16.8 -17.1 0.0 0.0 -16.9 -17.1 0.0 0.0
93 -16.3 -17.1 0.0 0.0 -16.6 -17.1 0.0 0.0
320 -17.0 -17.1 0.0 0.0 -6.8 -17.1 0.0 0.0
589 -11.4 -12.0 34.6 38.3 -16.8 -17.1 0.0 0.0
Of course, minima values should be adopted for Asx and Asy if no reinforcement areas
are required. For element 589, the Asx and Asy value are required at the centroid of the
layer, whereas they are arranged at 0.07 m from the external surface of the slab in an
eccentric position with respect to middle plane of the layer; so, the amount of
reinforcement provided has to be changed to restore equilibrium conditions. This variation
may be assessed with the aid of the mechanism pictured in Fig. 6.51: