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


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

The characteristics of B modeling are the same as A modeling, except that the cable is modeled by 30 elements CABLE_GAINE with the adherent case of the CABLE_GAINE_FROT law (TYPE_ 'ADHERENT').

The cable meshes are SEG3.


Calculation steps and functionalities tested
--------------------------------------------

The steps are the same as for modeling A. All features are tested with CABLE_GAINE elements.


B modeling results
------------------------------


Displacements of the girder nodes
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values. The tolerance for relative deviation from the reference is equal to:


* 3% for node :math:`\mathrm{NB010527}`;


* 1% for the nodes :math:`\mathrm{NB030127}`, :math:`\mathrm{NB050127}`, and :math:`\mathrm{NB050527}`;


* 0.1% for the other nodes.


.. csv-table::

    "**Node**", "**Component**", "**Reference Value**", "**Tolerance (%)**"
    "NB010105 ", "DX", "—2,298342.10—4m", ":math:`\mathrm{1,0}`"
    "NB010305 ", "DX", "—1,237569.10—4m", ":math:`\mathrm{1,0}`"
    "NB010505 ", "DX", "—1,767956.10—5m", ":math:`\mathrm{1,0}`"
    "NB030105 ", "DX", "—1,502762.10—4m", ":math:`\mathrm{1,0}`"
    "NB030305 ", "DX", "—4,419890.10—5m", ":math:`\mathrm{1,0}`"
    "NB030305 ", "DY", "—7,955801.10—5m", ":math:`\mathrm{1,0}`"
    "NB030305 ", "DZ", "—1,060773.10—4m", ":math:`\mathrm{1,0}`"
    "NB030505 ", "DX", "+6,187845.10—5m", ":math:`\mathrm{1,0}`"
    "NB050105 ", "DX", "—7,071823.10—5m", ":math:`\mathrm{1,0}`"
    "NB050305 ", "DX", "+3,535912.10—5m", ":math:`\mathrm{1,0}`"
    "NB050505 ", "DX", "+1.414365.10—4m", ":math:`\mathrm{1,0}`"
    "", "", "", ""
    "NB010116 ", "DX", "—8,618785.10—4m", ":math:`\mathrm{1,0}`"
    "NB010316 ", "DX", "—4,640884.10—4m", ":math:`\mathrm{1,0}`"
    "NB010516 ", "DX", "—6,629834.10—5m", ":math:`\mathrm{1,0}`"
    "NB030116 ", "DX", "—5,635359.10—4m", ":math:`\mathrm{1,0}`"
    "NB030316 ", "DX", "—1,657459.10—4m", ":math:`\mathrm{1,0}`"
    "NB030316 ", "DY", "—1,118785.10—3m", ":math:`\mathrm{1,0}`"
    "NB030316 ", "DZ", "—1,491713.10—3m", ":math:`\mathrm{1,0}`"
    "NB030516 ", "DX", "+2,320442.10—4m", ":math:`\mathrm{1,0}`"
    "NB050116 ", "DX", "—2,651934.10—4m", ":math:`\mathrm{1,0}`"
    "NB050316 ", "DX", "+1,325967.10—4m", ":math:`\mathrm{1,0}`"
    "NB050516 ", "DX", "+5,303867.10—4m", ":math:`\mathrm{1,0}`"
    "", "", "", ""
    "NB010127 ", "DX", "—1,493923.10—3m", ":math:`\mathrm{1,0}`"
    "NB010327 ", "DX", "—8,044199.10—4m", ":math:`\mathrm{1,0}`"
    "NB010527 ", "DX", "—1,149171.10—4m", ":math:`\mathrm{3,0}`"
    "NB030127 ", "DX", "—9,767956.10—4m", ":math:`\mathrm{1,0}`"
    "NB030327 ", "DX", "—2,872928.10—4m", ":math:`\mathrm{1,0}`"
    "NB030327 ", "DY", "—3,361326.10—3m", ":math:`\mathrm{1,0}`"
    "NB030327 ", "DZ", "—4,481768.10—3m", ":math:`\mathrm{1,0}`"
    "NB030527 ", "DX", "+4.022099.10—4m", ":math:`\mathrm{1,0}`"
    "NB050127 ", "DX", "—4,596685.10—4m", ":math:`\mathrm{1,0}`"
    "NB050327 ", "DX", "+2,298343.10—4m", ":math:`\mathrm{1,0}`"
    "NB050527 ", "DX", "+9,193370.10—4m", ":math:`\mathrm{1,0}`"



Displacements of the nodes of the prestress cable
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The values extracted from field DEPL from STAT_NON_LINE are compared to the theoretical reference values. The tolerance for relative deviation from the reference is equal to:


* 1% for node :math:`\mathrm{NC000031}`, component :math:`\mathrm{DZ}`;


* 0.1% for the other nodes.


.. csv-table::

    "**Node**", "**Component**", "**Reference Value**", "**Tolerance (%)**"
    "NC000006 ", "DY", "—1,243094.10—4m", ":math:`\mathrm{1,0}`"
    "NC000006 ", "DZ", "—1,657459.10—4m", ":math:`\mathrm{1,0}`"
    "NC000011 ", "DY", "—4,972376.10—4m", ":math:`\mathrm{1,0}`"
    "NC000011 ", "DZ", "—6,629834.10—4m", ":math:`\mathrm{1,0}`"
    "NC000016 ", "DY", "—1,118785.10—3m", ":math:`\mathrm{1,0}`"
    "NC000016 ", "DZ", "—1,491713.10—3m", ":math:`\mathrm{1,0}`"
    "NC000021 ", "DY", "—1,988950.10—3m", ":math:`\mathrm{1,0}`"
    "NC000021 ", "DZ", "—2,651934.10—3m", ":math:`\mathrm{1,0}`"
    "NC000026 ", "DY", "—3,107735.10—3m", ":math:`\mathrm{1,0}`"
    "NC000026 ", "DZ", "—4,143646.10—3m", ":math:`\mathrm{1,0}`"
    "NC000031 ", "DY", "—4,475138.10—3m", ":math:`\mathrm{1,0}`"
    "NC000031 ", "DZ", "—5,966851.10—3m", ":math:`\mathrm{10,0}`"



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

The value extracted from field SIEF_ELNO from STAT_NON_LINE is compared to the theoretical reference value.

The component that the test focuses on is :math:`N`.


.. csv-table::

    "**Node**", "**Mesh**", "**Reference Value**", "**Tolerance (%)**"
    ":math:`\mathrm{NC000016}` "," :math:`\mathrm{SG000015}` "," :math:`+\mathrm{7,955801}{.10}^{5}N` "," :math:`\mathrm{1,0}`"