Benchmark solution
=====================


Calculation method used for the reference solution
--------------------------------------------------------

The imposed displacements are equivalent to a force applied to the end of the resultant:


.. image:: images/Object_1.svg
    :width: 132
    :height: 43


.. _RefImage_Object_1.svg:

:math:`{\theta }_{o}` represents the rotation of section :math:`\mathrm{EFGH}`:

:math:`{\theta }_{o}=\frac{{\mathrm{FL}}^{2}}{\mathrm{2EI}}`

Flexural stress

.. image:: images/Object_3.svg
    :width: 132
    :height: 43


.. _RefImage_Object_3.svg:

At the embedment it is then worth:


.. image:: images/Object_4.svg
    :width: 132
    :height: 43


.. _RefImage_Object_4.svg:


Benchmark results
----------------------


1. Displacement :math:`v` of :math:`E,F,G,H` points


2. Flexural stresses

    .. image:: images/Object_5.svg
        :width: 132
        :height: 43


    .. _RefImage_Object_5.svg:

At points :math:`A,B,C,D`


Uncertainty about the solution
---------------------------

Analytical solution.