Notations ========= The notations used here are not all the same as those used in [:external:ref:`U4.42.01 `], for reasons of compactness and consistency with [:external:ref:`R3.08.03 `]. The correspondence between this notation and that of the user documentation is given. :math:`\mathrm{DX},\mathrm{DY},\mathrm{DZ}` and :math:`\mathrm{DRX},\mathrm{DRY},\mathrm{DRZ}` are the names of the degrees of freedom associated with the components of the :math:`u,v,w,{\theta }_{x},{\theta }_{y},{\theta }_{z}` displacement. .. csv-table:: ":math:`C` ", "torsional constant", ":math:`\mathrm{JX}`" ":math:`{e}_{y},{e}_{z}` ", "torsion/shear center eccentricity", ":math:`\text{EY},\text{EZ}`" ":math:`E` ", "Young's modulus", ":math:`E`" ":math:`\nu` ", "Poisson's ratio", ":math:`\mathrm{NU}`" ":math:`G` ", "Coulomb's modulus = :math:`\frac{E}{2(1+\nu )}` "," ":math:`{I}_{y},{I}_{z}` ", "geometric moments of bending with respect to the axes :math:`y,z` "," :math:`\mathrm{IY},\mathrm{IZ}`" ":math:`{I}_{p}` ", "polar geometric moment", "" ":math:`{I}_{{\theta }_{x}}` ", "polar moment of inertia around the longitudinal axis :math:`x` "," ":math:`{k}_{y},{k}_{z}` ", "shear coefficients", ":math:`\frac{1}{\mathrm{AY}},\frac{1}{\mathrm{AZ}}`" ":math:`K` ", "stiffness matrix", "" ":math:`M` ", "mass matrix", "" ":math:`{M}_{x},{M}_{y},{M}_{z}` ", "moments around axes :math:`x,y,z` "," :math:`\mathrm{MT},\mathrm{MFY},\mathrm{MFZ}`" ":math:`N` ", "normal effort at the section", ":math:`N`" ":math:`S` ", "section area", ":math:`A`" ":math:`u,v,w` ", "translations on the :math:`x,y,z` axes "," :math:`\mathrm{DX},\mathrm{DY},\mathrm{DZ}`" ":math:`{V}_{y},{V}_{z}` ", "shear forces along the :math:`y,z` axes "," :math:`\mathrm{VY},\mathrm{VZ}`" ":math:`\rho` ", "density", ":math:`\mathrm{RHO}`" ":math:`{\sigma }_{{c}_{T}}` ", "transverse shear stress", "" ":math:`{\theta }_{x},{\theta }_{y},{\theta }_{z}` ", "rotations around axes :math:`x,y,z` "," :math:`\mathrm{DRX},\mathrm{DRY},\mathrm{DRZ}`" .. _RefNumPara__38343231: .. _refnumpara__38343231: