C modeling
==============

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

The modeling C is in all respects the same as A except for the direction of the solicitation.

The discrete is no longer used only along its axis, but in the direction of the first trisector.

In addition, we choose :math:`{K}_{\mathrm{ix}}={K}_{\mathrm{iy}}=2\mathrm{.}{K}_{\mathrm{iz}}={K}_{i}`, where :math:`{K}_{i}` is given in §2.


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

The mesh consists of two nodes connected by an element SEG2 with an axis :math:`\mathit{Ox}`.


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

We choose :math:`{U}_{1}={2.10}^{-4}\mathrm{mm}` and :math:`{U}_{2}={8.10}^{-4}\mathrm{mm}`.

After digital application, the reference solutions are:

:math:`{F}_{\mathrm{1x}}={4.10}^{4}N`

:math:`{F}_{\mathrm{1y}}={4.10}^{4}N`

:math:`{F}_{\mathrm{1z}}={2.10}^{4}N`

:math:`{F}_{\mathrm{2x}}=\mathrm{10,5}{.10}^{4}N`

:math:`{F}_{\mathrm{2y}}=\mathrm{10,5}{.10}^{4}N`

:math:`{F}_{\mathrm{2z}}=\mathrm{6,5}{.10}^{4}N`


.. csv-table::

    "**Node**", ":math:`U` ", "**Components**", "**Reference**"
    ":math:`\mathrm{N2}` "," :math:`{2.10}^{-4}\mathrm{mm}` "," :math:`{F}_{\mathrm{1x}}` "," :math:`{4.10}^{4}N`"
    "", "", ":math:`{F}_{\mathrm{1y}}` "," :math:`{4.10}^{4}N`"
    "", "", ":math:`{F}_{\mathrm{1z}}` "," :math:`{2.10}^{4}N`"
    ":math:`\mathrm{N2}` "," :math:`{8.10}^{-4}\mathrm{mm}` "," :math:`{F}_{\mathrm{2x}}` "," :math:`{\mathrm{10,5.10}}^{4}N`"
    "", "", ":math:`{F}_{\mathrm{2y}}` "," :math:`{\mathrm{10,5.10}}^{4}N`"
    "", "", ":math:`{F}_{\mathrm{2z}}` "," :math:`{\mathrm{6,5.10}}^{4}N`"