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


Geometry
---------


.. image:: images/10000000000003720000037DC91D65D858D48E4B.png
    :width: 2.9402in
    :height: 2.9764in


.. _RefImage_10000000000003720000037DC91D65D858D48E4B.png:


+--------------+-+--------------------------------+-----------------------------------------------------------------++
|Length        |:|:math:`L\mathrm{=}4m`           |Position of the points :math:`E,F,G`                              |
+--------------+-+--------------------------------+-----------------------------------------------------------------++
|Thickness     |:|:math:`H\mathrm{=}\mathrm{0,1}m`| - :math:`E,F,G` at a distance :math:`{R}_{0}` from the          ||
+              + +                                + axis                                                            ++
|              | |                                |                                                                 ||
+--------------+-+--------------------------------+-----------------------------------------------------------------++
|Average radius|:|:math:`{R}_{0}\mathrm{=}1m`     | - :math:`G` halfway up                                          ||
+              + +                                +                                                                 ++
|              | |                                |                                                                 ||
+--------------+-+--------------------------------+-----------------------------------------------------------------++


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

:math:`E\mathrm{=}2.1\mathrm{\times }{10}^{11}\mathit{Pa}`

:math:`\nu \mathrm{=}0.3`

:math:`\alpha \mathrm{=}0.12\mathrm{\times }{10}^{\mathrm{-}4}\mathrm{/}°C`


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


* Recessed sections :math:`\mathit{AB}` and :math:`\mathit{CD}`


* Temperature field :math:`T\mathrm{=}\mathrm{cos}\theta +\mathrm{sin}2\theta`


Initial conditions
--------------------

Not applicable for static analysis.