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


Geometry
---------

O

Z

hr

A

D

B

C

L

R


.. csv-table::

    "Length:", ":math:`L\mathrm{=}1m`"
    "Thickness:", ":math:`h\mathrm{=}0.0025m`"
    "Outside radius:", ":math:`\text{Re}\mathrm{=}0.05m`"



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

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

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

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


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


* Section :math:`\mathit{AB}` in support (direction :math:`z`),


* Thermal expansion in thickness (calculation 1): :math:`\Delta T\mathrm{=}100°C`


* Internal pressure (calculation 2): :math:`p\mathrm{=}2\mathrm{\times }{10}^{8}N\mathrm{/}{m}^{2}`


* Taking into account the background effect.


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

Not applicable for static analysis.