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


.. _Ref482175678:


Geometry
---------


.. image:: images/1000020100000263000002432E9810DA6C11B213.png
    :width: 2.7984in
    :height: 2.6547in


.. _RefImage_1000020100000263000002432E9810DA6C11B213.png:

Geometry, loading and moving the console beam in geometric nonlinear and large displacement, example of a 5-element mesh SHB20


* Beam dimensions:


* :math:`L=\mathrm{10m}`


* :math:`b=1`


* Thickness :math:`h=\mathrm{0.1m}`


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

The characteristics set are as follows:

Elastic characteristics:

:math:`E=\mathrm{1.2x106}\mathrm{Pa}`

:math:`\mathrm{NU}=0`

.. code-block:: text


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

The beam is embedded at one end. The other end is free and a concentrated force :math:`P` is applied in the :math:`Z` direction. This force is applied incrementally from 0 to :math:`{P}_{\mathit{max}}`:

:math:`{\mathrm{P}}_{0}\mathrm{=}\frac{\mathit{EI}}{{L}^{2}}\mathrm{=}1N` and :math:`{\mathrm{P}}_{\mathrm{max}}\mathrm{=}4{\mathrm{P}}_{0}`

The loading is controlled by the value of the next displacement :math:`Z` of the point :math:`A`. The magnitude of the force (steering coefficient ETA) is increased so that the displacement increases to :math:`\mathrm{6.7mm}` in steps of :math:`\mathrm{0.1mm}`.