3. Modeling A

3.1. Characteristics of modeling

10 cable elements	MECABL2entre \(O\) and \({Q}_{1}\), carried by links SEG2;
1 element	MEPOULIpassant by pulley \({P}_{1}\) and carried by mesh SEG3 \({Q}_{1}{P}_{1}{R}_{1}\);
9 elements	MECABL2entre \({R}_{1}\) and \({Q}_{2}\);
1 element	MEPOULIsur \({Q}_{2}{P}_{2}{R}_{2}\);
1 element	MECABL2sur the \({P}_{1}C\) suspension.

3.2. Characteristics of the mesh

Number of knots: 25

Number of meshes and types: 20 SEG2 meshes and 2 SEG3 meshes

3.3. notes

Starting from a horizontal rectilinear cable in zero gravity, gravity is applied while increasing the length of the cable between \(O\) and \({P}_{2}\) by \(10m\) by moving \({R}_{2}\) in \({R}_{2}\text{'}\) (\({R}_{\mathrm{2 }}{R}_{2}\text{'}=10m\)). As unstretched straight cables have no stiffness for transverse loads, it is not possible to apply the previous load case from the outset because one would end up with a singular system of equations.

The calculation is therefore done in 2 steps:

• we pre-tension the cables by applying tension to the cable itself in \({R}_{2}\) and to the suspension in \({P}_{1}\) (we suggest taking tensions of \(10000N\)).

• we continue with the previous equilibrium situation by applying gravity and displacement \({R}_{2}{R}_{2}\text{'}\). The gravity load will be declared of type SUIV, because of the elements MEPOULI whose 2 parts are of variable length.

3.4. Tested sizes and results

Identification	Reference
Left reach arrow \(\mathrm{N6}\)	-1.3930E+001
Right Range Arrow \(\mathit{N19}\)	-1.3930E+001