F modeling
==============


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

This is a POU_D_EM model (multi-fiber beam). This test makes it possible to cover the non-linear routines of multi-fiber beams for the CORR_ACIER law of behavior for thermal bending and expansion.


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

Number of knots: 11

Number of meshes and type: 10 (SEG2)


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

We test the longitudinal displacement :math:`{u}_{x}` corresponding to the thermal expansion at point :math:`B`:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Precision**"
    ":math:`\mathit{DX}` at point :math:`B` ", "'ANALYTIQUE'", "1.2e-4 m", "1.E -6%"


We test arrow :math:`{u}_{y}` and angle :math:`{\theta }_{z}` at point :math:`B`:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Precision**"
    ":math:`\mathit{DY}` at point :math:`B` ", "'ANALYTIQUE'", "3.3333333333333333333e-03 m", "1.E -6%"
    ":math:`\mathit{DRZ}` at point :math:`B` ", "'ANALYTIQUE'", "5.e-02", "1.E -6%"


We test the :math:`{V}_{y}` effort and the :math:`{M}_{z}` moment at point :math:`A`:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Precision**"
    ":math:`\mathit{VY}` at point :math:`A` ", "'ANALYTIQUE'", "1413.7167 N", "1.E -6%"
    ":math:`\mathit{MFZ}` at point :math:`A`", "'ANALYTIQUE'", "141.37167 N/m", "1.E -6%"