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

Geometry A and B
----------------

Geometry :math:`A` is in the :math:`\mathit{XY}` plane and consists of 3 sections.


.. image:: images/1000020100000519000001F1B76BE185D18C208D.png
    :width: 6.3382in
    :height: 2.4138in


.. _RefImage_1000020100000519000001F1B76BE185D18C208D.png:

**Figure** 1.1-a **:** Geometry :math:`A`, in the :math:`\mathit{XY}` plane.

The coordinates of the nodes, geometry :math:`A`, in the global coordinate system:

.. csv-table::

    "**Node**", "**X**", "**Y**", "**Z**"
    "**A**", "0", "0", "0"
    "**B**", "L", "0", "0"
    "**C**", "2*L", "L", "0"
    "**D**", "2*L", "3*L", "0"


Geometry :math:`B` corresponds to geometry :math:`A` to which the following 3 successive rotations are applied:

• around the :math:`Z` axis, a rotation of :math:`25.0°`, which gives the new :math:`{X}_{1},{Y}_{1},{Z}_{1}` coordinate system.

• around the :math:`{Y}_{1}` axis, a rotation of :math:`-40.0°`, which gives the new :math:`{X}_{2},{Y}_{2},{Z}_{2}` coordinate system.

• around the :math:`{X}_{2}` axis, a rotation of :math:`27.5°`.


.. image:: images/10000201000002B5000002B8BA94817B9EE07E42.png
    :width: 2.7563in
    :height: 2.7681in


.. _RefImage_10000201000002B5000002B8BA94817B9EE07E42.png:

**Figure** 1.1-b **: Geometry B.**


Loads
------------

Boundary conditions
~~~~~~~~~~~~~~~~~~~~~~~~

In each case, node :math:`A` is embedded and node :math:`D` requires effort and time.