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


Geometry
---------


.. image:: images/10001428000020F8000016D77085054166088429.svg
    :width: 425
    :height: 294


.. _RefImage_10001428000020F8000016D77085054166088429.svg:

Coordinates of the points:


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C` "," :math:`D`"
    ":math:`x` "," :math:`3.\mathrm{cos}40°` "," :math:`3.\mathrm{cos}40°` ", "3. ", "3."
    ":math:`y` "," :math:`3.\mathrm{sin}40°` "," :math:`3.\mathrm{sin}40°` ", "0. ", "0."
    ":math:`z` ", "3. ", "0. ", "0. ", "3."



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

:math:`E=3.{10}^{10}\mathrm{Pa}`

:math:`\nu =0.`

:math:`\rho =2.0833{10}^{4}\mathrm{kg}/{m}^{3}`


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

Rigid diaphragm at each end: :math:`u=v=0`, :math:`{\theta }_{z}=0`.

Loading 1: Force due to gravity :math:`g=–10m/{s}^{2}`

Loading 2: Force shell load distributed vertical :math:`{F}_{x}=–\mathrm{6250.N}`

Two loads leading to the same solution are tested.