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


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

LCONTY

LCONTX

LSYMX

LSYMY

A1

A2

A3

Y

DALLE

X

A4


.. image:: images/10000000000001E0000001E04FCDAA3B7314596F.png
    :width: 2.172in
    :height: 2.2043in


.. _RefImage_10000000000001E0000001E04FCDAA3B7314596F.png:

Q4GG modeling (QUAD4)

- Boundary conditions:

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

 . Side :math:`\mathit{A3A4}`: :math:`\mathrm{DZ}=0`

- Symmetry conditions

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

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

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


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

Number of knots: 169

Number of meshes and type: 144 QUAD4


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

.

.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference**", "**Tolerance (%)**"
    ":math:`\mathit{DZ}(\mathit{A1})` ", "'ANALYTIQUE'", "6,926.10-5"," 5%"
    ":math:`\mathit{MXX}(\mathit{A1})` ", "'ANALYTIQUE'", "1550"," 8%"
    ":math:`\mathit{MYY}(\mathit{A1})` ", "'ANALYTIQUE'", "1550"," 8%"
    ":math:`\mathit{KXX}(\mathit{A1})` ", "'ANALYTIQUE'", "2,193.10-4"," 8%"
    ":math:`\mathit{KYY}(\mathit{A1})` ", "'ANALYTIQUE'", "2,193.10-4"," 8%"


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:`\mathrm{DZ}(\mathrm{A1})` ", "'ANALYTIQUE'", "6,926.10-5"," 5%"
    ":math:`\mathit{MXX}(\mathit{A1})` ", "'ANALYTIQUE'", "1550.0"," 8%"
    ":math:`\mathit{MYY}(\mathit{A1})` ", "'ANALYTIQUE'", "1550.0"," 8%"
    ":math:`\mathit{MXY}(\mathit{A1})` ", "'ANALYTIQUE'", "0. ", "2."
    ":math:`\mathit{KXX}(\mathit{A1})` ", "'ANALYTIQUE'", "2.193 10-4"," 8%"
    ":math:`\mathit{KYY}(\mathit{A1})` ", "'ANALYTIQUE'", "2.193 10-4"," 8%"
    ":math:`\mathit{KXY}(\mathit{A1})` ", "'ANALYTIQUE'", "0. ", "0.001"



+--------------------+---------------------+-----------------------+------------------+-------------+--------------+
|**Identification**                                                |**Reference type**|**Reference**|**Tolerance%**|
+--------------------+---------------------+-----------------------+------------------+-------------+--------------+
|:math:`\mathit{MXX}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |1444.999     |1.e-6         |
+--------------------+---------------------+-----------------------+------------------+-------------+--------------+
|:math:`\mathit{MYY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |1447.976     |1.e-6         |
+--------------------+---------------------+-----------------------+------------------+-------------+--------------+
|:math:`\mathit{MXY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |-0.6626      |1.e-6         |
+--------------------+---------------------+-----------------------+------------------+-------------+--------------+
|:math:`\mathit{KXX}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |2.1394 10-4  |1.e-6         |
+--------------------+---------------------+-----------------------+------------------+-------------+--------------+
|:math:`\mathit{KYY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |2.1462 10-4  |1.e-6         |
+--------------------+---------------------+-----------------------+------------------+-------------+--------------+
|:math:`\mathit{KXY}`|:math:`\mathit{M133}`|:math:`\mathit{Point}4`|'NON_REGRESSION'  |-1.5151 10-7 |1.e-6         |
+--------------------+---------------------+-----------------------+------------------+-------------+--------------+


notes
---------

See modeling notes A