2. Notations#
The notations used here correspond to those used in [R3.08.01] and [R3.08.03]. One gives here the correspondence between this notation and that of the user documentation. \(\mathrm{DX},\mathrm{DY},\mathrm{DZ},\mathrm{DRX},\mathrm{DRY},\mathrm{DRZ}\mathrm{et}\mathrm{GRX}\) are the names of the degrees of freedom associated with the components of the \(u,v,w,{\theta }_{x},{\theta }_{y},{\theta }_{z},{\theta }_{x,x}\) displacement. They are expressed as a global coordinate system, except for the degree of freedom associated with warpage \(\mathrm{GRX}\), which is expressed as a local coordinate system.
Notation used |
Significance |
Notation of user documentation |
\(S\) |
section area |
\(A\) |
\({I}_{y},{I}_{z}\) |
geometric moments of bending with respect to the \(x\) and \(y\) axes. |
|
\(C\) |
torsional constant |
\(\mathrm{JX}\) |
\({I}_{\omega }\) |
warping constant |
\(\mathrm{JG}\) |
\({k}_{y},{k}_{z}\) |
shear coefficients |
\(\frac{1}{\text{AY}}\frac{1}{\text{AZ}}\) |
\({e}_{y},{e}_{z}\) |
eccentricity of the torsion/shear center to the center of gravity of the straight section |
\(\text{EY},\text{EZ}\) |
\(N\) |
normal effort at the section |
\(N\) |
\({V}_{y},{V}_{z}\) |
shear forces along the \(y\) and \(z\) axes |
|
\({M}_{x},{M}_{y},{M}_{z}\) |
moments around axes \(x\), \(y\) and \(z\) |
|
\({M}_{\omega }\) |
bi-moment |
\(\text{BX}\) |
\(u,v,w\) |
translations on the \(x\), \(y\) and \(z\) axes |
|
\({\theta }_{x},{\theta }_{y},{\theta }_{z}\) |
rotations around the axes \(x\), \(y\) and \(z\) |
|
\({\theta }_{x,x}\) |
derived from torsional rotation according to \(x\) |
|
\(E\) |
Young’s modulus |
\(E\) |
\(\nu\) |
Poisson’s ratio |
\(\text{NU}\) |
\(G=\frac{E}{2(1+\nu )}=\mu\) |
Coulomb module (same as Lamé coefficient) |
\(G\) |