1. Reference problem#

1.1. Geometry#

_images/1000000000000296000000E5629E76DDC1FF13C0.png

Straight beam \(\mathrm{AB}\), of length \(l=1m\), embedded in \(A\) and submitted in \(B\) at a time \(M\).

1.2. Material properties#

Elastic behavior: \(E=1.0\mathrm{Pa}\). The Poisson’s ratio does not intervene in pure bending.

Characteristics of the section:

\(A=1.0{m}^{2}\) \({I}_{y}={I}_{z}=2.0{m}^{4}\)

\({I}_{x}=4.0{m}^{4}\) (does not intervene) \({A}_{y}\mathrm{=}{A}_{z}\mathrm{=}4.\) (does not intervene)

1.3. Boundary conditions and loads#

Embedding in \(A\). We’re looking for balance under the current load: \(M=4\pi \mathrm{N.m}\) in \(B\).