1. Reference problem#

1.1. Geometry#

_images/1000000000000D4A000007CCD1F51C2DA8ABDF08.png

Length

:

\(L=2m\)

Square section, side

:

\(a=0.2m\)

Moment of inertia

:

\(I=1.333\times {10}^{-4}{m}^{4}\)

1.2. Material properties#

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

\(\nu =0.3\)

1.3. Boundary conditions and loads#

Embedding section \(\mathrm{ABCD}\)

Imposed displacement on face \(\mathrm{EFGH}\):

  • constant \({v}_{o}\) in the \(y\), \({v}_{o}=0.952\times {10}^{-5}m\) direction

  • varying according to the position \(y\) of the point in the section, and equal to:

\({u}_{o}=–y{\theta }_{o}\), \({\theta }_{o}=0.714\times {10}^{-5}\mathrm{radians}\)

1.4. Initial conditions#

Not applicable for static analysis.