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


Geometry
---------


.. image:: images/1000196E000025B90000136E431F549958610657.svg
    :width: 486
    :height: 250


.. _RefImage_1000196E000025B90000136E431F549958610657.svg:

**Point coordinates (in** :math:`m` **) :**


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C` "," "," :math:`D` "," :math:`E`"
    ":math:`x` ", "0. ", "12. ", "12. ", "0. ", "12."
    ":math:`y` ", "—0.5", "—0.5", "0.5", "0.5", "0.5", "0."
    ":math:`z` ", "0. ", "0. ", "0. ", "0. ", "0."



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

The elastic properties of the material under consideration are as follows:

Young's module: :math:`E=1.{10}^{11}\mathrm{Pa}`

Poisson's ratio: :math:`\nu =0.25`


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

Embedded side :math:`\mathrm{AD}`:

any :math:`P` point such as :math:`{x}_{P}=0` (:math:`u=v=w=0` :math:`{\theta }_{x}={\theta }_{y}={\theta }_{z}=0`)

Charging: 2 load cases


.. csv-table::

    "1. in :math:`B` and :math:`C`: opposing forces parallel to the axis :math:`Z` "," :math:`{F}_{{z}_{B}}=–1N` "," :math:`{F}_{{z}_{C}}=+1N`"
    "1. in :math:`B` and :math:`C`: forces in the same direction parallel to the axis :math:`Z` "," :math:`{F}_{{z}_{B}}=+1N` "," :math:`{F}_{{z}_{C}}=+1N`"