1. Reference problem#

1.1. Geometry#

The structure is modelled in plane deformations. Only one half is meshed for reasons of symmetry.

_images/100002010000026F0000013988EE2A30464E3001.png

Note \(F\) the center of the pin, \(A\) the point belonging to the console and located on the plane of symmetry.

1.2. Material properties#

Consol:

Poisson’s ratio: \(\mathrm{0,3}\)

Young’s module: \(70000{\mathit{N.mm}}^{-2}\)

Pin:

Poisson’s ratio: \(\mathrm{0,3}\)

Young’s module: \(210000{\mathit{N.mm}}^{-2}\)

The coefficient of friction between the block and the cylinder is \(\mu =\mathrm{0,1}\) .

1.3. Boundary conditions and loads#

Since the structure is symmetric and subjected to a loading that respects symmetry, only one half is shown. We therefore apply \(\mathit{DY}=0\) on the plane of symmetry.

The console is embedded on its left side:

  • \(\mathit{DX}=0\)

  • \(\mathit{DY}=0\)

The pin is subjected to a point force at its center \(F\):

  • \(\mathit{FX}=20000\mathit{kN}\), which is \(\mathit{FX}=10000N\) for the semi-structure