1. Reference problem#

1.1. Geometry#

_images/100000000000034000000172A7F2065165B3FC70.png

1.2. Material properties#

Isotropic linear elastic material: \(E=2.1E+11\mathrm{Pa}\)

Coefficient of linear expansion: \(\alpha =1.E–05°{C}^{-1}\)

1.3. Boundary conditions and loads#

Articulation in \(A\) (\({u}_{A}={v}_{A}=0\)).

Roller support in \(B\) and \(C\) (\({v}_{B}=v{’}_{C}=0\)).

1.4. Initial conditions#

Cumulation of 3 requests:

  • support displacement: \({v}_{A}=–0.02m\), \({v}_{B}=–0.03m\), \(v{\text{'}}_{C}=–0.015m\)

  • point forces: \({F}_{E}=–\mathrm{150 }\mathrm{kN}\), \({F}_{F}=–\mathrm{100 }\mathrm{kN}\)

  • expansion effect of all the bars for a temperature difference of \(30°C\) compared to the assembly temperature (reference geometry).

_images/10000000000003A1000001882FD7D4C21D093327.png