Modeling A
==============

Characteristics of modeling
-----------------------------------

Taking into account the movements, taking into account the joints does not change the results much. For this modeling, the joints in :math:`A`, :math:`B`,, :math:`C` and :math:`D` are rigidified (continuity of the 3 generalized force components).

4 beams with a full circular section: 4 SEG2 meshes

.. csv-table::

    "elements :math:`\mathrm{AC}` and :math:`\mathrm{BC}` ", "radius :math:`R=7.978845{10}^{-3}m` ", "(area :math:`A=2.{10}^{-4}{m}^{2}`)"
    "elements :math:`\mathrm{CD}` and :math:`\mathrm{BD}` ", "radius :math:`R=5.641895{10}^{-3}m` ", "(area :math:`A=1.{10}^{-4}{m}^{2}`)"
    "Poisson's ratio:", ":math:`\nu =0.3` ", ""


**Boundary conditions:**

in all the nodes:

DDL_IMPO =(

 _F (TOUT =' OUI ', DZ= 0., DRX = 0., DRY = 0.),

 _F (NOEUD = (A, B), DX= 0., DY= 0.)

)


.. csv-table::

    "Node name:", "Point :math:`A` = :math:`A` ", "Point :math:`C` = :math:`C`"
    "", "Point :math:`B` = :math:`B` ", "Point :math:`D` = :math:`D`"



Characteristics of the mesh
----------------------------

Number of knots: 4

Number of meshes and types: 4 SEG2


Tested sizes and results
------------------------------

.. csv-table::

    "**Identification**", "**Reference Type**", "**Value**", "**Tolerance**"
    "DXau point :math:`C` ", "'ANALYTIQUE'", "2.65E-04", "3.0E-04", "3.0E-04"
    "DYau point :math:`C` ", "'ANALYTIQUE'", "0.8839E-04", "3.0E-04", "3.0E-04"
    "DXau point :math:`D` ", "'ANALYTIQUE'", "3.47902E-03", "3.0E-04"
    "DYau point :math:`D` ", "'ANALYTIQUE'", "—5.60084E-03", "3.0E-04"