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

Geometry
---------


.. image:: images/10000000000000E30000011C467768D295BC2098.png
    :width: 1.8098in
    :height: 2.3516in


.. _RefImage_10000000000000E30000011C467768D295BC2098.png:

**Figure** 1.1-a **: Vertical beam.**

Rectangular section: :math:`{H}_{y}\mathrm{=}0.01m`, :math:`{H}_{z}\mathrm{=}0.01m`

Length: :math:`L\mathrm{=}1m`


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

.. csv-table::

    "Young's module:", ":math:`E\mathrm{=}2.{10}^{11}\mathit{Pa}`"
    "Poisson's ratio:", ":math:`\nu \mathrm{=}\mathrm{0,3}`"
    "Density:", ":math:`\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}`"



Boundary conditions and loading
------------------------------------

Boundary condition:

Recessed end :math:`(0)`: :math:`\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0`.

**Charging:**

Gravity force: :math:`p` weight per unit length with :math:`g=(0,0,-9.81)` (given as a global coordinate system).