Modeling A
==============


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


.. image:: images/1000000000000646000002DF4174779AD0A26DEE.png
    :width: 4.7638in
    :height: 2.1772in


.. _RefImage_1000000000000646000002DF4174779AD0A26DEE.png:

Figure 3.1 Meshing the geometry of the problem.

The beam is divided into two equal parts. Each half is represented by a substructure. These are generated using the Mac-Neal method.


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

Number of knots: 557

Number of meshes and types: 80 HEXA20, 20 QUAD8


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


.. csv-table::

    "Location", "Quantity Type", "Reference Value", "Reference Type", "Tolerance (%)"
    ":math:`X=\frac{L}{4}`
    (first half)", ":math:`\mathit{DY}` "," :math:`1.95994\times {10}^{-5}+8.49179\times {10}^{-6}j` "," ", "'ANALYTIQUE'", ":math:`5.0`"
    ":math:`X=\frac{L}{2}`
    (first half)", ":math:`\mathit{DY}` "," :math:`-6.999387\times {10}^{-6}-1.14501\times {10}^{-5}j` "," ", "'ANALYTIQUE'", ":math:`5.0`"
    ":math:`X=\frac{L}{2}`
    (second half)", ":math:`\mathit{DY}` "," :math:`-6.999387\times {10}^{-6}-1.14501\times {10}^{-5}j` "," ", "'ANALYTIQUE'", ":math:`5.0`"
    ":math:`X=3\frac{L}{4}`
    (second half)", ":math:`\mathit{DY}` "," :math:`1.95994\times {10}^{-5}+8.49179\times {10}^{-6}j` "," ", "'ANALYTIQUE'", ":math:`5.0`"