1. Reference problem#

1.1. Geometry#

_images/10000000000000E30000011C467768D295BC2098.png

Figure 1.1-a : Vertical beam.

Rectangular section: \({H}_{y}\mathrm{=}0.01m\), \({H}_{z}\mathrm{=}0.01m\)

Length: \(L\mathrm{=}1m\)

1.2. Material properties#

Young’s module:

\(E\mathrm{=}2.{10}^{11}\mathit{Pa}\)

Poisson’s ratio:

\(\nu \mathrm{=}\mathrm{0,3}\)

Density:

\(\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}\)

1.3. Boundary conditions and loading#

Boundary condition:

Recessed end \((0)\): \(\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0\).

Charging:

Gravity force: \(p\) weight per unit length with \(g=(0,0,-9.81)\) (given as a global coordinate system).