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


Geometry
---------

B

.. image:: images/10000AB20000327000000A06081EAA2E54EDF7EB.svg
    :width: 650
    :height: 129


.. _RefImage_10000AB20000327000000A06081EAA2E54EDF7EB.svg:

The geometric characteristics of the beam constituting the mechanical model are as follows:

Length: :math:`L=0.5m`

Rectangular straight section:


.. csv-table::

    "Height:", ":math:`h=0.005m`"
    "Width:", ":math:`b=0.050m`"
    "Area:", ":math:`A=2.5{10}^{-4}{m}^{2}`"
    "Moment of inertia:", ":math:`{I}_{z}=5.208{10}^{-10}{m}^{4}`"


The coordinates (in meters) of the characteristic points of all the beams are:


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C`"
    ":math:`x` ", "0. ", "0.5", "0."
    ":math:`y` ", "0. ", "0. ", "0."



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

The properties of the material from which the beam is made are:

:math:`E=2.1{10}^{11}\mathrm{Pa}`

:math:`\nu =0.3`

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


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

The boundary condition that characterizes this problem is the embedment of point :math:`A` and is written:

:math:`u=v=0.`, :math:`\theta =0`.