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


Geometry
---------

Vertical axis circular section girder :math:`\vec{z}`:


* Length: :math:`L=0.1m`


* Radius: :math:`R=0.01m`


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

:math:`E={2.10}^{11}\mathrm{Pa}`

:math:`\nu =0.3`

:math:`\rho =7\mathrm{800kg}/{m}^{3}`


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

Embedding the face in :math:`z=0`


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

Not applicable for modal analysis.