Modélisation A
==============




Caractéristiques de la modélisation
-----------------------------------

On utilise une modélisation DKT. On réalise une analyse à l’ELU.




Caractéristiques du maillage
----------------------------

Le maillage contient 1 élément de type QUAD4.




Grandeurs testées et résultats
------------------------------


+-------------------+-------------------------+--------------------------------------+--------------------------------------------+
| **Configuration** | **Points de reférence** | **Effort normal de reférence en MN** | **Moment fléchissant de reférence en MNm** | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+
| 1                 | A                       |-1.365                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+                    
|                   | B                       |1.666                                 |0.587                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+      
|                   | C                       |4.894                                 |0.928                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D                       |10.303                                |0.483                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | E                       |12.923                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D'                      |10.303                                |-0.483                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | C'                      |4.894                                 |-0.928                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | B'                      |1.666                                 |-0.587                                      | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+   
| 2                 | A                       |-2.431                                |0.165                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+                    
|                   | B                       |-1.871                                |0.299                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+      
|                   | C                       |3.723                                 |1.09                                        | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D                       |10.628                                |0.432                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | E                       |13.903                                |-0.152                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D'                      |11.369                                |-0.648                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | C'                      |5.959                                 |-1.094                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | B'                      |-1.858                                |0.0295                                      | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+
| 3                 | A                       |-1.365                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+                    
|                   | B                       |-0.658                                |0.17                                        | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+      
|                   | C                       |6.598                                 |1.283                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D                       |14.728                                |0.944                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | E                       |21.365                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D'                      |14.728                                |-0.944                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | C'                      |6.598                                 |-1.283                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | B'                      |-0.658                                |-0.17                                       | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+ 
| 4                 | A                       |-1.463                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+                    
|                   | B                       |-0.846                                |0.144                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+      
|                   | C                       |4.894                                 |0.928                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D                       |10.303                                |0.483                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | E                       |12.923                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D'                      |10.303                                |-0.483                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | C'                      |4.894                                 |-0.928                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | B'                      |-0.846                                |-0.144                                      | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+ 
| 5                 | A                       |-1.365                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+                    
|                   | B                       |1.666                                 |0.587                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+      
|                   | C                       |4.894                                 |0.928                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D                       |10.303                                |0.483                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | E                       |12.923                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D'                      |10.303                                |-0.483                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | C'                      |4.894                                 |-0.928                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | B'                      |1.666                                 |-0.587                                      | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+ 
| 6                 | A                       |-1.365                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+                    
|                   | B                       |-0.0701                               |0.28                                        | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+      
|                   | C                       |4.894                                 |0.928                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D                       |10.303                                |0.483                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | E                       |12.923                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D'                      |10.303                                |-0.483                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | C'                      |4.894                                 |-0.928                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | B'                      |-0.0701                               |-0.28                                       | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+ 
| 7                 | A                       |-1.365                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+                    
|                   | B                       |-0.974                                |0.0944                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+      
|                   | C                       |4.894                                 |0.928                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D                       |10.303                                |0.483                                       | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | E                       |12.923                                |0                                           | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | D'                      |10.303                                |-0.483                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | C'                      |4.894                                 |-0.928                                      | 
|                   +-------------------------+--------------------------------------+--------------------------------------------+   
|                   | B'                      |-0.974                                |-0.0944                                     | 
+-------------------+-------------------------+--------------------------------------+--------------------------------------------+ 

Les points de reférence calculés sont superposés avec les diagrammes d'interaction de la facette critique issus de POST_VERI_FERRAILLAGE pour chaque configuration.

.. figure:: images/tab1.png
    :align: center
    :name: v3.03.142-configuration1

    Diagramme d’interaction M-N pour la configuration n°1.


.. figure:: images/tab2.png
    :align: center
    :name: v3.03.142-configuration2

    Diagramme d’interaction M-N pour la configuration n°2.


.. figure:: images/tab3.png
    :align: center
    :name: v3.03.142-configuration3

    Diagramme d’interaction M-N pour la configuration n°3.


.. figure:: images/tab4.png
    :align: center
    :name: v3.03.142-configuration4

    Diagramme d’interaction M-N pour la configuration n°4.    


.. figure:: images/tab5.png
    :align: center
    :name: v3.03.142-configuration5

    Diagramme d’interaction M-N pour la configuration n°5.


.. figure:: images/tab6.png
    :align: center
    :name: v3.03.142-configuration6

    Diagramme d’interaction M-N pour la configuration n°6.


.. figure:: images/tab7.png
    :align: center
    :name: v3.03.142-configuration7

    Diagramme d’interaction M-N pour la configuration n°7.        


Les grandeurs :math:`N_A`, :math:`N_E`, :math:`M_C`, et :math:`M_{C'}` sont testés dans code_aster (sauf pour la configuration n°3 où seulement :math:`N_A` et :math:`N_E` sont testés). Ils correspondent
aux efforts normaux et moments résitants maximum et minimum des diagrammes d'interaction.