B modeling
==============

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

4 POU_D_T elements with a full circular cross 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:**

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

To treat articulated connections, as many knots as bar ends are created.


.. image:: images/10000000000000C5000000918FD073A2F9635834.png
    :width: 1.411in
    :height: 1.1571in


.. _RefImage_10000000000000C5000000918FD073A2F9635834.png:

• at nodes :math:`\mathrm{A1}`, :math:`\mathrm{B2}`, and :math:`\mathrm{D4}`: DDL_IMPO =_F (All=' OUI ', DZ= 0. , DRX = 0. , DRY = 0.)

• at nodes :math:`\mathrm{C1}`, :math:`\mathrm{C2}`, :math:`\mathrm{C3}` and :math:`\mathrm{D3}`, :math:`\mathrm{D4}` continuity of translations, by LIAISON_DDLDX and DY.

• no rotation is imposed.


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

Number of knots: 4

Number of meshes and types: 4 SEG2


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

.. csv-table::

    "**Point**", "**Movement**
    **(m)**", "**Reference Type**", "**Reference**", "**Tolerance**"
    "", ":math:`{u}_{c}` "," ANALYTIQUE ", "2.6517E-04", "3.0E-04"
    ":math:`C` ", "", "", "", ""
    "", ":math:`{v}_{c}` "," ANALYTIQUE ", "0.8839E-04", "3.0E-04"
    "", "", "", "", ""
    "", ":math:`{u}_{D}` "," ANALYTIQUE ", "3.47902E-03", "3.0E-04"
    ":math:`D` ", "", "", "", ""
    "", ":math:`{v}_{D}` "," ANALYTIQUE ", "—5.60084E-03", "3.0E-04"