Reference problem
=====================


Geometry
---------

We consider a frame consisting of 2 bars and 4 cables.


.. image:: images/10000000000002C6000002437306E658BDEED454.png
    :width: 3.9366in
    :height: 3.2083in


.. _RefImage_10000000000002C6000002437306E658BDEED454.png:


Material properties
----------------------

The materials are elastic, their properties are:


* For the bars:

:math:`E=2.1E+11` :math:`\alpha =0.0` :math:`\rho =7800.0`


* For cables:

:math:`E=2.1E+11` :math:`\alpha =1.0E-05` :math:`\rho =7800.0`


Mechanical characteristics
---------------------------

The only characteristics that are needed are the sections of the various elements.


* for the bars: :math:`A=1.0E-04`


* for cables: :math:`A=5.026E-05`


Boundary conditions and loads
-------------------------------------

On the go:


* node :math:`\mathit{N3}`, all movements are blocked: :math:`\mathit{DX}=\mathit{DY}=\mathit{DZ}=0.0`


* node :math:`\mathit{N4}`, movements blocked following :math:`Y` and :math:`Z`: :math:`\mathit{DY}=\mathit{DZ}=0.0`


* nodes :math:`\mathit{N1}`, :math:`\mathit{N2}`: movements blocked following :math:`Z`: :math:`\mathit{DZ}=0.0`

The load is applied by tensioning the cables. A fictional temperature of -200°C is imposed on the cable elements in 20 loading steps.


Initial conditions
--------------------

Not applicable.