Notations
=========

The notations used here correspond to those used in [:ref:`R3.08.01 <R3.08.01>`] and [:ref:`R3.08.03 <R3.08.03>`]. One gives here the correspondence between this notation and that of the user documentation. :math:`\mathrm{DX},\mathrm{DY},\mathrm{DZ},\mathrm{DRX},\mathrm{DRY},\mathrm{DRZ}\mathrm{et}\mathrm{GRX}` are the names of the degrees of freedom associated with the components of the :math:`u,v,w,{\theta }_{x},{\theta }_{y},{\theta }_{z},{\theta }_{x,x}` displacement. They are expressed as a global coordinate system, except for the degree of freedom associated with warpage :math:`\mathrm{GRX}`, which is expressed as a local coordinate system.


.. csv-table::

    "**Notation used**", "**Significance**", "**Notation of**
    **user documentation**"
    ":math:`S` ", "section area", ":math:`A`"
    ":math:`{I}_{y},{I}_{z}` ", "geometric moments of bending with respect to the :math:`x` and :math:`y` axes. "," :math:`\mathrm{IY},\mathrm{IZ}`"
    ":math:`C` ", "torsional constant", ":math:`\mathrm{JX}`"
    ":math:`{I}_{\omega }` ", "warping constant", ":math:`\mathrm{JG}`"
    ":math:`{k}_{y},{k}_{z}` ", "shear coefficients", ":math:`\frac{1}{\text{AY}}\frac{1}{\text{AZ}}`"
    ":math:`{e}_{y},{e}_{z}` ", "eccentricity of the torsion/shear center to the center of gravity of the straight section", ":math:`\text{EY},\text{EZ}`"
    ":math:`N` ", "normal effort at the section", ":math:`N`"
    ":math:`{V}_{y},{V}_{z}` ", "shear forces along the :math:`y` and :math:`z` axes "," :math:`\text{VY},\text{VZ}`"
    ":math:`{M}_{x},{M}_{y},{M}_{z}` ", "moments around axes :math:`x`, :math:`y` and :math:`z` "," :math:`\text{MT},\text{MFY},\text{MFZ}`"
    ":math:`{M}_{\omega }` ", "bi-moment", ":math:`\text{BX}`"
    ":math:`u,v,w` ", "translations on the :math:`x`, :math:`y` and :math:`z` axes "," :math:`\text{DX}\text{DY}\text{DZ}`"
    ":math:`{\theta }_{x},{\theta }_{y},{\theta }_{z}` ", "rotations around the axes :math:`x`, :math:`y` and :math:`z` "," :math:`\text{DRX}\text{DRY}\text{DRZ}`"
    ":math:`{\theta }_{x,x}` ", "derived from torsional rotation according to :math:`x` "," :math:`\text{GRX}`"
    ":math:`E` ", "Young's modulus", ":math:`E`"
    ":math:`\nu` ", "Poisson's ratio", ":math:`\text{NU}`"
    ":math:`G=\frac{E}{2(1+\nu )}=\mu` ", "Coulomb module (same as Lamé coefficient)", ":math:`G`"