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

Geometry
---------


.. image:: images/1000199A000031D10000198710BB86E74AA8CC1E.svg
    :width: 642
    :height: 329


.. _RefImage_1000199A000031D10000198710BB86E74AA8CC1E.svg:


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

Young's module: :math:`E=2.10E-5\mathrm{MPa}`

Poisson's ratio: :math:`\nu =0.3`


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

.. csv-table::

    ":math:`\mathit{A1}`: :math:`\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}0`"
    ":math:`\mathit{A2}`: :math:`\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}0`"


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* case 1: axial force :math:`P` in :math:`G`


* case 2: axial force :math:`P` in :math:`C`


* case 3: axial force :math:`P` in :math:`A`


* case 4: bending moment :math:`M`


notes
---------

For cases 2 and 3, an effort in :math:`G` is applied in :math:`\mathit{A2}`, then a moment of bending is superimposed in :math:`\mathit{A1}` and :math:`\mathit{A2}` (following :math:`\mathit{oz}` for case 2, following :math:`\mathit{oy}` for case 3) in order to offset the force at :math:`C` (or in A).