3. A & B modeling

3.1. Characteristics of modeling

The models POU_D_E, POU_D_T, POU_D_TG, POU_D_EM, and POU_D_TGM are assigned to the mesh in turn.

The length is \(L=1.5m\).

The generalized forces depend only on the forces imposed; they are independent of the geometric characteristics of the section and of the material. The selected section is circular with a radius of \(0.10m\), with a thickness of \(0.05m\).

For modeling \(A\), the force torsor applied to node \(D\) has the following components:

\(\begin{array}{c}{F}_{x}=-1000N;{F}_{y}=5000N;{F}_{z}=10000N\\ {M}_{x}=830\mathit{Nm};{M}_{y}=1800\mathit{Nm};{M}_{z}=5300\mathit{Nm}\end{array}\)

For modeling \(B\), the components of the force torsor applied to node \(D\), are derived from the formulas given in § 2.2. The formulas are written in the command file.

3.2. Characteristics of the mesh

The mesh consists of a single SEG2par segment mesh.

3.3. Tested sizes and results

The values tested are the same regardless of the beam modeling and regardless of the geometry, because efge_elno are expressed in the local references of the elements.

The 36 values of the torsor components are tested.

The analytic expressions, shown in § 2.1, are in the command file and are used to test all calculated values and all reference values in TEST_RESU.