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

Geometry
---------


.. image:: images/1000000000000225000001158ED1B9B426CF9566.png
    :width: 4.2866in
    :height: 2.048in


.. _RefImage_1000000000000225000001158ED1B9B426CF9566.png:

Length :math:`L=1m`

elements :math:`\mathrm{AC}` and :math:`\mathrm{BC}` with a circular section :math:`A=2.{10}^{–4}{m}^{2}`

elements :math:`\mathrm{CD}` and :math:`\mathrm{BD}` with a circular section :math:`A=1.{10}^{–4}{m}^{2}`

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

.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C` "," :math:`D`"
    ":math:`x` ", "0. ", "1. ", "0.5", "2."
    ":math:`y` ", "0. ", "0. ", "0.5", "1."
    ":math:`z` ", "0. ", "0. ", "0. ", "0."



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

Young's module: :math:`E=1.962{10}^{11}\mathrm{Pa}`


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

Nodes :math:`A` and :math:`B` are articulated: :math:`u=v=0`

Vertical point force in :math:`D`: :math:`F=–9.81{10}^{3}N`