Reference problem
====


Geometry
----

The aim is to model a reinforced concrete console of dimension :math:`10m\times 5m\times \mathrm{0,2}m` with two layers of longitudinal reinforcements inserted into the concrete with :math:`>` of coating.


.. image:: images/10000000000003600000021C389DE70C1684C161.jpg
    :width: 4.898in
    :height: 1.2717in


.. _RefImage_10000000000003600000021C389DE70C1684C161.jpg:




.. image:: images/10005314000069F0000013BE18113F9C3D664D56.svg
    :width: 626
    :height: 116


.. _RefImage_10005314000069F0000013BE18113F9C3D664D56.svg:


Material properties
----

Steels and concrete are supposed to be elastic.

**Concrete console:**

:math:`>`,

:math:`>` to compare to shell modeling,

:math:`>`

Thickness of the console: :math:`>`;

**Steel frame sheets:**

:math:`>`, :math:`>`, :math:`>`



 High reinforcement sheet: section per linear meter = :math:`\mathrm{0,2}{m}^{2}/\mathit{ml}`;

                             eccentricity = :math:`>`;

                             orientation: :math:`\mathit{Ox}`

 Low reinforcement sheet: section per linear meter = :math:`\mathrm{0,2}{m}^{2}/\mathit{ml}`;

                             eccentricity = :math:`>`;

                             orientation: :math:`\mathit{Ox}`


Boundary conditions and loads
----

Boundary conditions and loads break down as follows:

At first, between :math:`>` and :math:`t=1` the loads are as follows:


*   Edge :math:`NO1NO4` :math:`(B0X)` embedded and edge :math:`NO2NO3` :math:`(B1X)` stuck next :math:`\mathit{Oz}`.


*   Gravity

In a second step, between :math:`t=1` and :math:`t=2`, we modify the condition on the edge to apply the following displacement :math:`\mathit{Oz}`:


*   :math:`DZ=-\mathrm{0,1}m` on edge :math:`NO2NO3` :math:`(B1X)` (flexure loading)