Reference problem
=====================


Geometry
---------


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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).


Material properties
------------------------

**Concrete console:** :math:`E=3.0E+10\mathit{Pa}`, :math:`\nu =0`, :math:`\rho =2500\mathit{kg}/{m}^{3}`

 Thickness of the console: :math:`0.2m`; ANGL_REP = (0; 0)

**Steel frame sheets:** :math:`E=2.0E+11\mathit{Pa}`, :math:`\nu =0`, :math:`\rho =7800\mathit{kg}/{m}^{3}`



 High reinforcement sheet: cross section per linear meter = :math:`0.2{m}^{2}/\mathrm{ml}`; eccentricity = :math:`0.05m`; ANGL_REP = (0; 0)

 Low reinforcement sheet: cross section per linear meter = :math:`0.2{m}^{2}/\mathrm{ml}`; eccentricity = :math:`-0.05m`; ANGL_REP = (0; 0)


Boundary conditions and loads
-------------------------------------

Boundary conditions and loads break down as follows:

**A and B modelling**:

 Recessed edge :math:`\mathrm{NO1NO4}` (:math:`\mathrm{B0X}`)

 :math:`\mathrm{DZ}=1.0` on edge :math:`\mathrm{NO2NO3}` (:math:`\mathrm{B1X}`) (flexing)

**C, D, and G modeling:**

 Recessed :math:`\mathrm{B0X}` and :math:`\mathrm{B1X}` edge

 Gravity

**E, F, and H modeling;**

 :math:`\mathrm{B0X}` recessed edge

 Pre-deformations :math:`\mathrm{EXX}` imposed on the two reinforcement layers, equal to :math:`0.001`.

The models and loads considered are summarized in the following table:


.. csv-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.