Results of modeling A
==============================


Tested values
---------------


Linear density of normal force on the vertical section of the concrete plate
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The values extracted from field SIEF_ELNO from STAT_NON_LINE are compared to the theoretical reference values. Extraction is done on mesh :math:`\mathit{QD001001}` representing the concrete plate.

The component that the tests focus on is :math:`\mathit{NXX}`.

The tolerance for relative deviation from the reference is 10—6%.


.. csv-table::

    "**Node**", "**Reference Value**", "**Tolerance**"
    "NB001001 ", "—9.99125765.104N/m", "—4.43.10— 11%"
    "NB001002 ", "—9.99125765.104N/m", "—4.43.10— 11%"
    "NB002001 ", "—9.99125765.104N/m", "—4.43.10— 11%"
    "NB002002 ", "—9.99125765.104N/m", "—4.43.10— 11%"



Horizontal displacement of the nodes of the concrete plate
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values.

The component that the tests focus on is :math:`\mathit{DX}`.

The tolerance for relative deviation from the reference is 10—6%.


.. csv-table::

    "**Node**", "**Reference Value**", "**Tolerance**"
    "NB001002 ", "—1,11013974.10—5m", "—1,05.10— 9%"
    "NB002002 ", "—1,11013974.10—5m", "—1,05.10— 9%"



Normal force in the cable
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The values extracted from field SIEF_ELNO from STAT_NON_LINE are compared to the theoretical reference values. The extraction is done on the :math:`\mathit{SG001001}` mesh for the :math:`\mathit{NC001001}` node, :math:`\mathit{SG001002}` for the :math:`\mathit{NC001002}` node, for the node, :math:`\mathit{SG001003}` for the :math:`\mathit{NC001003}` node, and :math:`\mathit{SG001004}` for the nodes :math:`\mathit{NC001004}` and :math:`\mathit{NC001005}`.

The component that the tests focus on is :math:`N`.

The tolerance for relative deviation from the reference is 10—6%.


.. csv-table::

    "**Node**", "**Reference Value**", "**Tolerance**"
    ":math:`\mathit{NC001001}` ", "1,99825153.105N", "—4,44.10— 11%"
    ":math:`\mathit{NC001002}` ", "1,99825153.105N", "—4,44.10— 11%"
    ":math:`\mathit{NC001003}` ", "1,99825153.105N", "—4,44.10— 11%"
    ":math:`\mathit{NC001004}` ", "1,99825153.105N", "—4,44.10— 11%"
    ":math:`\mathit{NC001005}` ", "1,99825153.105N", "—4,44.10— 11%"



Horizontal displacement of cable nodes
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values.

The component that the tests focus on is :math:`\mathit{DX}`.

The tolerance for relative deviation from the reference is 10—6%.


.. csv-table::

    "**Node**", "**Reference Value**", "**Tolerance**"
    "NC001002 ", "—2,77534935.10—6m", "—1,05.10— 9%"
    "NC001003 ", "—5,55069869.10—6m", "7,56.10— 10%"
    "NC001004 ", "—8,32604804.10—6m", "1,56.10— 10%"
    "NC001005 ", "—1,11013974.10—5m", "—1,05.10— 9%"



notes
---------

The calculated values actually correspond to those theoretically expected. A state of compression is indeed obtained for the concrete plate.

An infinitesimal difference is observed between the horizontal displacement at node :math:`\mathit{NC001005}` belonging to the cable and the horizontal displacement at nodes :math:`\mathit{NB001002}` and :math:`\mathit{NB002002}` of the concrete plate. The values recorded should be the same, but the rounding errors appearing in the coefficients of the kinematic relationships explain this infinitesimal difference.