G modeling
==============

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

The model is composed of 10 Timoshenko right beam elements with warping: modeling POU_D_TG. The section is solid circular, with radius :math:`0.1m`.

The distributed effort is imposed according to axis :math:`y`. So the flexure takes place around :math:`z`.


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

It consists of 10 SEG_2 meshes. The length of the beam is :math:`L=6m`.


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

Internal efforts
~~~~~~~~~~~~~~~~~~~

.. csv-table::

    "", "**Analytical Results**"
    ":math:`{V}_{y}(0)` ", "6.0000E+03"
    ":math:`{V}_{y}(6)` ", "-1.2000E+04"
    ":math:`\mathit{MFZ}` in :math:`x=2\sqrt{3}` ", "-1.3856E+04"



Displacement (arrow near the middle of the beam)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. csv-table::

    "", "**Results** **Aster** (not regression)", "**Tolerance (%)**"
    ":math:`\mathit{DY}` at point :math:`x=3.115977734` ", "3.23499E-03", "1.E-4"