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


Geometry
---------


.. image:: images/100019CA000019D700001280360C44E991CE88DA.svg
    :width: 333
    :height: 238


.. _RefImage_100019CA000019D700001280360C44E991CE88DA.svg:

Length: :math:`\mathrm{L1}=\mathrm{L2}=5m`

Straight section (profiled in :math:`I`): :math:`\mathrm{IPE}200`


.. csv-table::

    "air", ":math:`A=2.872{10}^{-3}{m}^{2}`"
    "moment of inertia", ":math:`\mathrm{Iz}=1.943{10}^{-5}{m}^{4}`"


(other beam parameters not used)

Coordinates of points (in meters):


.. csv-table::

    "", ":math:`A` "," :math:`B=H` "," :math:`C` "," "," :math:`D` "," "," :math:`E=I` "," :math:`F` "," :math:`G`"
    ":math:`x` ", "—2.5", "—2.5", "—2.5", "—2.5", "2.5", "2.5", "2.5", "0"
    ":math:`y` ", "—2.5", "0. ", "2.5", "—2.5", "0. ", "2.5", "0."
    ":math:`z` ", "0. ", "0. ", "0. ", "0. ", "0. ", "0. ", "0."



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

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

:math:`\rho =7800.\mathrm{kg}/{m}^{3}`


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

Points :math:`A,C,D,F`: (:math:`u=v=w=0.`)

Points :math:`B,E`: swivel joint (continuity of :math:`u,v,w`)


.. image:: images/Object_3.svg
    :width: 333
    :height: 238


.. _RefImage_Object_3.svg:


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

A :math:`t=0`, structure at rest.