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


Geometry
---------


.. image:: images/10002AB8000033FD000011289DD03FC0B0EF123E.svg
    :width: 670
    :height: 221


.. _RefImage_10002AB8000033FD000011289DD03FC0B0EF123E.svg:


.. csv-table::

    "Square plate:", "side :math:`a=10.m`"
    "", "thickness :math:`t=0.05m`"


**Point coordinates** (in :math:`m`):


.. csv-table::

    "", "**Test 2**", "", "", "", "**Test 4**", ""
    "**Node**", ":math:`x` "," :math:`y` "," ", "", "**Node**", ":math:`x` "," :math:`y`"
    "1", "4.0", "4.0", "", "", "1", "4.0", "4.0"
    "2", "2.25", "2.25", "", "", "", "", ""
    "3", "4.75", "2.5", "", "", "", "", ""
    "4", "7.25", "2.75", "", "", "", "", ""
    "5", "7.5", "4.75", "", "", "", "", ""
    "6", "7.75", "7.25", "", "", "", "", ""
    "7", "5.25", "7.25", "", "", "", "", ""
    "8", "2.25", "7.25", "", "", "", "", ""
    "9", "2.5", "4.75", "", "", "", "", ""



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

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

:math:`\nu =0.3`

:math:`\rho =8000.\mathrm{kg}/{m}^{3}`


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

Any :math:`P` point such as :math:`{x}_{p}=0`: (:math:`u=v=w=0`, :math:`{\theta }_{y}=0`).


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

Not applicable for modal analysis.