Modeling A
==============

Characteristics of modeling
-----------------------------------

.. csv-table::

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



Characteristics of the mesh
----------------------------

Number of knots: 25

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


notes
---------

Starting from a horizontal rectilinear cable in zero gravity, gravity is applied while increasing the length of the cable between :math:`O` and :math:`{P}_{2}` by :math:`10m` by moving :math:`{R}_{2}` in :math:`{R}_{2}\text{'}` (:math:`{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 :math:`{R}_{2}` and to the suspension in :math:`{P}_{1}` (we suggest taking tensions of :math:`10000N`).

• we continue with the previous equilibrium situation by applying gravity and displacement :math:`{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.


Tested sizes and results
------------------------------

.. csv-table::

    "**Identification**", "**Reference**"
    "Left reach arrow :math:`\mathrm{N6}` ", "-1.3930E+001"
    "Right Range Arrow :math:`\mathit{N19}` ", "-1.3930E+001"