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


Geometry
---------

We consider a concrete beam with a length of :math:`l\mathrm{=}5m` and a square section of :math:`w\mathrm{=}h\mathrm{=}1m` on a side. It contains two longitudinal reinforcements :math:`\mathit{P1P2}` and :math:`\mathit{P3P4}`. The cross section of the two bars is :math:`\mathrm{0,003}{m}^{2}`.


.. image:: images/10000201000001DD000000BFCE2C8D3BCADF2291.png
    :width: 3.202in
    :height: 1.4134in


.. _RefImage_10000201000001DD000000BFCE2C8D3BCADF2291.png:


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

The concrete material is isotropic elastic with the following properties:


* :math:`E\mathrm{=}30\mathit{GPa}`


* :math:`\nu \mathrm{=}0.2`

The steel material is isotropic elastic with the following properties:


* :math:`E\mathrm{=}200\mathit{GPa}`


* :math:`\nu \mathrm{=}0.25`


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

Edge :math:`\mathit{P1P3P7P5}` is stuck.

A movement of :math:`\mathrm{0,001}m` in the direction :math:`z` is imposed on the edge :math:`\mathit{P2P4P8P6}`.


Initial conditions
--------------------

Néant