6. D modeling

6.1. Characteristics of modeling

Elements POU_D_TG, awkward twisting

\(\mathrm{JG}=\{\begin{array}{}5.5556E-8\mathrm{pour}{S}_{1}\\ 4.439822E-11\mathrm{pour}{S}_{2}\end{array}\)

In 0 \(\mathrm{GRX}=0\)

6.2. Characteristics of the mesh

• 10 SEG_2 meshes,

• refinement towards embedding.

6.3. Tested sizes and results

Same results as for modeling C, except for those concerning warping effects.

Load	Section	Identification	Reference
\({F}_{z}=1\)	\(\mathrm{S2}\)	\({\theta }_{x}=\mathrm{DRX}\)	2.62034E-5
		\({u}_{z}=\mathrm{DZ}\)	1.14578E-6
		\(\mathrm{GRX}\)	1.34652E-5
\({M}_{x}=1\)	\(\mathrm{S1}\)	\({u}_{z}=\mathrm{DZ}\)	5.52E-7
		\(\mathrm{GRX}\)	2.84E-7
	\(\mathrm{S2}\)	\({u}_{z}\)	2.6203E-5
		\({\theta }_{x}\)	6.3892E-4
		\(\mathrm{GRX}\)	3.28324E-4

6.4. notes

For \({\theta }_{x}\) the solution is (cf [bib1]):

\({\theta }_{x}=\frac{{M}_{x}L}{G{J}_{x}}+\frac{{M}_{x}(1-{e}^{2\alpha L}-2{e}^{\alpha L})}{{\alpha }^{3}EJG(1+{e}^{2\alpha L})}\) \({\alpha }^{2}=\frac{GJ}{EJG}\)