C modeling
==============

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


.. image:: images/Shape6.gif


.. _RefSchema_Shape6.gif:


.. image:: images/10000000000001E0000001E09B5895DB4FFF4EB0.png
    :width: 2.2319in
    :height: 2.2307in


.. _RefImage_10000000000001E0000001E09B5895DB4FFF4EB0.png:

Q4GG modeling (TRIA3)

- Boundary conditions:

. Side :math:`\mathrm{A2A4}`: :math:`\mathrm{DZ}=0`

- Symmetry conditions

. Side :math:`\mathrm{A1A2}`: :math:`\mathrm{DY}=\mathrm{DRX}=0`

. Side :math:`\mathrm{A1A3}`: :math:`\mathit{DX}\mathrm{=}\mathit{DRY}\mathrm{=}0`

M266 ROAD
The slab is symmetric with respect to planes :math:`(X\mathrm{=}0)` and :math:`(Y\mathrm{=}0)`, the calculations are carried out on a quarter of the slab.

X


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

Number of knots: 169

Number of meshes and type: 288 TRIA3


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


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference**", "**Tolerance (%)**"
    ":math:`\mathit{DZ}(\mathit{A1})` ", "'ANALYTIQUE'", "2.658 10-4"," 1%"
    ":math:`\mathit{MXX}(\mathit{A1})` ", "'ANALYTIQUE'", "4050. "," 0.5%"
    ":math:`\mathit{KXX}(\mathit{A1})` ", "'ANALYTIQUE'", "7.878 10-4"," 0.5%"



+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|**Identification**                                                |**Reference type**|**Reference**|**Tolerance (%)**|
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MXX}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |4032.58      |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KXX}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |7.8442 10-4  |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+


* The quantities are expressed in the coordinate system defined by the nautical angles :math:`\alpha \mathrm{=}33°` and :math:`\beta \mathrm{=}12°`.


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference**", "**Tolerance (%)**"
    ":math:`\mathit{DZ}(\mathit{A1})` ", "'ANALYTIQUE'", "2.658 10-4"," 1%"
    ":math:`\mathit{MXX}(\mathit{A1})` ", "'NON_REGRESSION'", "2836.04", "1.e-6"
    ":math:`\mathit{MYY}(\mathit{A1})` ", "'NON_REGRESSION'", "1195.36", "1.e-6"
    ":math:`\mathit{MXY}(\mathit{A1})` ", "'NON_REGRESSION'", "-1842.50", "1.e-6"
    ":math:`\mathit{KXX}(\mathit{A1})` ", "'NON_REGRESSION'", "5.5167 10-4", "1.e-6"
    ":math:`\mathit{KYY}(\mathit{A1})` ", "'NON_REGRESSION'", "2.3252 10-4", "1.e-6"
    ":math:`\mathit{KXY}(\mathit{A1})` ", "'NON_REGRESSION'", "-3.5840 10-4", "1.e-6"



+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|**Identification**                                                |**Reference type**|**Reference**|**Tolerance (%)**|
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MXX}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |2836.04      |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MYY}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |1195.36      |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{MXY}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |-1842.50     |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KXX}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |5.5167 10-4  |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KYY}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |2.3252 10-4  |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+
|:math:`\mathit{KXY}`|:math:`\mathit{M266}`|:math:`\mathit{Point}1`|'NON_REGRESSION'  |-3.5840 10-4 |1.e-6            |
+--------------------+---------------------+-----------------------+------------------+-------------+-----------------+


notes
---------