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


Geometry
---------


.. image:: images/10001DA8000026F70000184A59737879081FF67D.svg
    :width: 502
    :height: 266


.. _RefImage_10001DA8000026F70000184A59737879081FF67D.svg:

         Internal radius: :math:`a=\mathrm{0,1}\mathrm{mm}`

         External radius: :math:`b=\mathrm{0,2}\mathrm{mm}`

**Point coordinates (** :math:`\mathrm{mm}` **)**


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`E` "," "," :math:`F` "," :math:`C` "," :math:`D`"
    ":math:`x` "," :math:`0.1` "," :math:`0.2` "," :math:`0.1\mathrm{\times }\mathrm{cos}(45)` "," "," :math:`0.2\mathrm{\times }\mathrm{cos}(45)` "," :math:`0.1\mathrm{\times }\mathrm{cos}(22.5)` "," :math:`0.2\mathrm{\times }\mathrm{cos}(22.5)`"
    ":math:`y` ", "0", "0"," :math:`0.1\mathrm{\times }\mathrm{sin}(45)` "," "," :math:`0.1\mathrm{\times }\mathrm{sin}(45)` "," :math:`0.1\mathrm{\times }\mathrm{sin}(22.5)` "," :math:`0.1\mathrm{\times }\mathrm{sin}(22.5)`"
    ":math:`z` ", "0", "0", "0", "0", "0", "0", "0"



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

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

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

Poisson's ratio: :math:`\nu \mathrm{=}0.4999`


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

The internal pressure imposed is equal to :math:`P\mathrm{=}60\mathit{MPa}`.