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


Geometry
---------

X


.. image:: images/100001EA000018E8000018E8AE6BEA94665F7D10.svg
    :width: 16
    :height: 16


.. _RefImage_100001EA000018E8000018E8AE6BEA94665F7D10.svg:

Z

.. image:: images/Object_1.svg
    :width: 16
    :height: 16


.. _RefImage_Object_1.svg:

Thickness of the plate: :math:`e=\mathrm{0,5 }\mathrm{cm}`.

Width of the plate: :math:`l=\mathrm{5 }\mathrm{cm}`.

Plate length: :math:`L=\mathrm{10 }\mathrm{cm}`

Coordinates of reference points (:math:`\mathrm{cm}`)


.. csv-table::

    "", ":math:`x` "," :math:`y` "," :math:`z`"
    ":math:`A` ", "0", "—2.5", "0"
    ":math:`B` ", "10", "—2.5", "0"
    ":math:`C` ", "10", "2.5", "0"
    ":math:`D` ", "0", "2.5", "0"



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

**Plates:**

Poisson's ratio: :math:`0.3`

Young's module: :math:`2.{10}^{15}N/{m}^{2}`


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

The plate is stuck:


* on :math:`\mathrm{AB}` and :math:`\mathrm{CD}` for trips according to :math:`y` and :math:`z`,


* on :math:`\mathrm{BC}` and :math:`\mathrm{DA}` for trips according to :math:`x` and :math:`z`,


* on :math:`\mathrm{AB}` and :math:`\mathrm{CD}` for rotations according to :math:`y`,


* on :math:`\mathrm{AD}` and :math:`\mathrm{BC}` for rotations according to :math:`x`.

The central node of each plate is also blocked to give it the only possibility of moving along the :math:`z` axis.

The plate is subjected to vertical pressure distributed over the upper plate:


* Pressure: :math:`p=2.5{10}^{\mathrm{12 }}N/{m}^{2}`,