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


Geometry
---------


.. image:: images/100004F800001D5A000004A7C94DEF56AE88D0B2.svg
    :width: 378
    :height: 60


.. _RefImage_100004F800001D5A000004A7C94DEF56AE88D0B2.svg:

Full circular section

diameter :math:`d=0.01m`

Beam length

:math:`L=2m`


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

:math:`E\mathrm{=}2{10}^{11}N\mathrm{/}{m}^{2}`

:math:`\nu =0.3`

:math:`\rho =7800.\mathrm{kg}/{m}^{3}`


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


* Lay-put beam,


* 4 loads are studied :math:`P=0.`, :math:`P=10.`,, :math:`P=100.`, :math:`P=1000.N`