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


Geometry
---------


.. image:: images/1000000000000D4A000007CCD1F51C2DA8ABDF08.png
    :width: 5.6701in
    :height: 3.3264in


.. _RefImage_1000000000000D4A000007CCD1F51C2DA8ABDF08.png:


.. csv-table::

    "Length", ":", ":math:`L=2m`"
    "Square section, side", ":", ":math:`a=0.2m`"
    "Moment of inertia", ":", ":math:`I=1.333\times {10}^{-4}{m}^{4}`"



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

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

:math:`\nu =0.3`


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

Embedding section :math:`\mathrm{ABCD}`

Imposed displacement on face :math:`\mathrm{EFGH}`:


* constant :math:`{v}_{o}` in the :math:`y`, :math:`{v}_{o}=0.952\times {10}^{-5}m` direction


* varying according to the position :math:`y` of the point in the section, and equal to:

:math:`{u}_{o}=–y{\theta }_{o}`, :math:`{\theta }_{o}=0.714\times {10}^{-5}\mathrm{radians}`


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

Not applicable for static analysis.