1. Reference problem#

1.1. Geometry#

_images/10000000000006300000063156EE6F0A75EB23E7.png

Medium radius

:

\(R=\mathrm{1m}\)

Thickness

:

\(h=0.02m\)

Height

:

\(L=4m\)

1.2. Material properties#

Young’s module

:

\(E=2.1\times {10}^{11}\mathrm{Pa}\)

Poisson’s ratio

:

\(\nu =0.3\)

Volume weight

:

\(\gamma =7.85\times {10}^{4}N/{m}^{3}\)

1.3. Boundary conditions and loads#

  • Zero axial displacement at the low end (\(u=0\)) + symmetry conditions

  • Own weight, depending on the axis, direction \(+x\)