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

Geometry
---------


.. image:: images/1000000000000296000000E5629E76DDC1FF13C0.png
    :width: 5.5126in
    :height: 1.9in


.. _RefImage_1000000000000296000000E5629E76DDC1FF13C0.png:

Straight beam :math:`\mathrm{AB}`, of length :math:`l=1m`, embedded in :math:`A` and submitted in :math:`B` at a time :math:`M`.


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

Elastic behavior: :math:`E=1.0\mathrm{Pa}`. The Poisson's ratio does not intervene in pure bending.

Characteristics of the section:

:math:`A=1.0{m}^{2}` :math:`{I}_{y}={I}_{z}=2.0{m}^{4}`

:math:`{I}_{x}=4.0{m}^{4}` (does not intervene) :math:`{A}_{y}\mathrm{=}{A}_{z}\mathrm{=}4.` (does not intervene)


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

Embedding in :math:`A`. We're looking for balance under the current load: :math:`M=4\pi \mathrm{N.m}` in :math:`B`.