1. Reference problem#

1.1. Geometry#

Slender beam oriented carried in space by the direction vector axis \((\mathrm{1,}\mathrm{1,}1)\).

Square area section: \(4.0{10}^{-4}{m}^{2}\)

Beam length: \(0.5m\)

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

\(\nu =0\)

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

\(\text{A\_CIS}=0.8333\) (transverse shear correction factor equal to \(5/6\) for a Reissner thin shell theory)

Embedded beam free to rotate around an axis perpendicular to its largest dimension and passing through the center of the embedded face.

Rotation vector component: \((\mathrm{1,}\mathrm{0,}–1)\).

Rotation speed: \(\omega =3000\mathrm{rd}/s\)

There is nothing physical about the important value of the speed of rotation.