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


Geometry
---------


.. image:: images/100000000000083800000994DA7E76E2A9A3198B.png
    :width: 2.7693in
    :height: 2.8264in


.. _RefImage_100000000000083800000994DA7E76E2A9A3198B.png:


.. csv-table::

    "Medium radius", ":", ":math:`{R}_{o}=\mathrm{1m}`"
    "Thickness", ":", ":math:`h=0.02m`"
    "Height", ":", ":math:`L=4m`"
    "Inner radius", ":", ":math:`{R}_{i}={R}_{o}–h/2`"



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


.. csv-table::

    "Young's module", ":", ":math:`E=2.1\times {10}^{11}\mathrm{Pa}`"
    "Poisson's ratio", ":", ":math:`\nu =0.3`"



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


* Zero axial displacement at the low end (:math:`u=0`) + symmetry conditions


* Uniform axial load per unit length :math:`q=10000N/m`, applied at the top end


.. image:: images/100000000000040F0000031882F0E0B5E47E319A.png
    :width: 1.7319in
    :height: 1.3201in


.. _RefImage_100000000000040F0000031882F0E0B5E47E319A.png:


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

Not applicable for static analysis.