1. Reference problem#
1.1. Geometry#
The concrete console is modelled either in standard solid elements or by modeling COQUE (DKT). The reinforcement layers are respectively modeled by models of GRILLE (GRILLE_MEMBRANE when there is no eccentricity or GRILLE_EXCENTRE when the reinforcements are eccentric).
1.2. Material properties#
Concrete console: \(E=3.0E+10\mathit{Pa}\), \(\nu =0\), \(\rho =2500\mathit{kg}/{m}^{3}\)
Thickness of the console: \(0.2m\); ANGL_REP = (0; 0)
Steel frame sheets: \(E=2.0E+11\mathit{Pa}\), \(\nu =0\), \(\rho =7800\mathit{kg}/{m}^{3}\)
High reinforcement sheet: cross section per linear meter = \(0.2{m}^{2}/\mathrm{ml}\); eccentricity = \(0.05m\); ANGL_REP = (0; 0)
Low reinforcement sheet: cross section per linear meter = \(0.2{m}^{2}/\mathrm{ml}\); eccentricity = \(-0.05m\); ANGL_REP = (0; 0)
1.3. Boundary conditions and loads#
Boundary conditions and loads break down as follows:
A and B modelling:
Recessed edge \(\mathrm{NO1NO4}\) (\(\mathrm{B0X}\))
\(\mathrm{DZ}=1.0\) on edge \(\mathrm{NO2NO3}\) (\(\mathrm{B1X}\)) (flexing)
C, D, and G modeling:
Recessed \(\mathrm{B0X}\) and \(\mathrm{B1X}\) edge
Gravity
E, F, and H modeling;
\(\mathrm{B0X}\) recessed edge
Pre-deformations \(\mathrm{EXX}\) imposed on the two reinforcement layers, equal to \(0.001\).
The models and loads considered are summarized in the following table:
Modelizations |
Flexion |
Gravity |
Pre-deformation |
GRILLE_EXCENTRE |
A and B |
C |
E and F |
GRILLE_MEMBRANE |
D |
||
MEMBRANE |
G |
H |
Modeling I tests MEMBRANE and GRILLE_MEMBRANE simultaneously.