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


Geometry
---------

The structure is modelled in plane deformations. Only one half is meshed for reasons of symmetry.


.. image:: images/100002010000026F0000013988EE2A30464E3001.png
    :width: 6.4866in
    :height: 3.2591in


.. _RefImage_100002010000026F0000013988EE2A30464E3001.png:

Note :math:`F` the center of the pin, :math:`A` the point belonging to the console and located on the plane of symmetry.


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

**Consol**:

Poisson's ratio: :math:`\mathrm{0,3}`

Young's module: :math:`70000{\mathit{N.mm}}^{-2}`

**Pin**:

Poisson's ratio: :math:`\mathrm{0,3}`

Young's module: :math:`210000{\mathit{N.mm}}^{-2}`

The coefficient of friction between the block and the cylinder is :math:`\mu =\mathrm{0,1}` **.**


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

Since the structure is symmetric and subjected to a loading that respects symmetry, only one half is shown. We therefore apply :math:`\mathit{DY}=0` on the plane of symmetry.

The console is embedded on its left side:


* :math:`\mathit{DX}=0`


* :math:`\mathit{DY}=0`

The pin is subjected to a point force at its center :math:`F`:


* :math:`\mathit{FX}=20000\mathit{kN}`, which is :math:`\mathit{FX}=10000N` for the semi-structure