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

     We note that the girder is very stiff in terms of its traction-compression modes:

:math:`{f}_{0\mathit{traction}/\mathit{compression}}=\frac{1}{2\pi }\sqrt{(a)}=\frac{1}{2\pi }\sqrt{(\frac{E}{\rho })}=806\mathit{Hz}`

In comparison, the frequency of traction-compression forces at :math:`\frac{1}{2\pi }\mathit{Hz}` can be considered to be almost static. This is what is done in modeling B: we compare the results of a calculation with the linear static operator of*Code_Aster* with the results of modeling A on the case of distributed force.

Since finite element modeling is identical to that of modeling A, the expected results are the same:

**Load distributed under traction**; efforts "" EFGE_ELNO "" ``

.. csv-table::

    "", "", "**Analytical Results**", "**Tolerance**"
    "Normal effort for :math:`x=0` "," :math:`t=1/3s` ", "472.478 N", "1E -3%"
    "", ":math:`t=2/3s` ", "392.944 N", "1E -3%"
    "", "", "", ""
    "Normal effort for :math:`x=L/2` "," :math:`t=1/3s` ", "0 N", "1E-6 N (*)"
    "", ":math:`t=2/3s` ", "0N", "1E-6N (*)"


(*) Absolute difference