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

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

The template is composed of 800 POU_D_T elements.


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

It consists of 800 SEG2.


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

Inner effort at :math:`\mathrm{\theta }=0°`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. csv-table::

    "", "**Reference Type**", "**Reference**", "**Tolerance**"
    ":math:`N` "," ANALYTIQUE ", "5.000E—01", "1.00E-003 :math:`\text{\%}`"
    ":math:`\mathit{Vy}` "," ANALYTIQUE ", "0.0000", "2.00E-003*"
    ":math:`\mathit{MFz}` "," ANALYTIQUE ", "3.6338E—01", "1.00E-003 :math:`\text{\%}`"


* Absolute deviation


Inner effort at :math:`\mathrm{\theta }=90°`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. csv-table::

    "", "**Reference Type**", "**Reference**", "**Tolerance**"
    ":math:`N` "," ANALYTIQUE ", "0.0000", "2.00E-003*"
    ":math:`\mathit{Vy}` "," ANALYTIQUE ", "—5.0000E—01", "1.00E-003 :math:`\text{\%}`"
    ":math:`\mathit{MFz}` "," ANALYTIQUE ", "—6.3662E—01", "1.00E-003 :math:`\text{\%}`"


*Absolute difference


Forced to :math:`\theta \mathrm{=}0°`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. csv-table::

    "", "**Reference Type**", "**Reference**", "**Tolerance**"
    ":math:`\mathit{SIXXMAX}` "," ANALYTIQUE ", "4.6426E+05", "1.00E-003 :math:`\text{\%}`"



Forced to :math:`\theta \mathrm{=}90°`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. csv-table::

    "", "**Reference Type**", "**Reference**", "**Tolerance**"
    ":math:`\mathit{SIXXMIN}` "," ANALYTIQUE ", "—8.1056E+05", "1,00E-003 :math:`\text{\%}`"



notes
---------

The symmetry with respect to the :math:`(A,C)` axis implies the nullity of the cutting force :math:`T` in :math:`A` and in :math:`C`. The following balance :math:`\mathit{Oy}` of the :math:`(A,B,C)` half-ring requires in :math:`A` and in :math:`C` a normal force equal to :math:`\frac{F}{2}`. The symmetry with respect to the :math:`(B,D)` axis implies that the moments in :math:`A` and :math:`C` are equal in absolute value and in opposite directions.