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



Geometry
---------


.. image:: images/10000201000001B2000001BAE05288CF9F48F9BA.tif
    :width: 3.7035in
    :height: 3.7618in


.. _RefImage_10000201000001B2000001BAE05288CF9F48F9BA.tif:

**Figure** 1.1-a **:** **element orientation.**

The beam is oriented in space as shown in Figure.

Global coordinates of points :math:`\mathit{P1}` and :math:`\mathit{P2}`:

:math:`{X}_{\mathit{P1}}\mathrm{=}0.0;{Y}_{\mathit{P1}}\mathrm{=}0.0;{Z}_{\mathit{P1}}\mathrm{=}0.0`

:math:`{X}_{\mathrm{P2}}=2.0;{Y}_{\mathrm{P2}}=2.0;{Z}_{\mathrm{P2}}=2.0`

Length: :math:`L=2\cdot \sqrt{3}m`


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

Concrete:

Young's module :math:`E={3.7272}^{10}\mathit{Pa}`

Poisson's ratio :math:`\nu \mathrm{=}0.0`


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

On point :math:`\mathit{P1}` we block the movements along :math:`X,Y,Z` and the rotation around the axes :math:`X,Y,Z`:

:math:`{D}_{X}^{\mathit{P1}}\mathrm{=}0.0;{D}_{Y}^{\mathit{P1}}\mathrm{=}0.0;{D}_{Z}^{\mathit{P1}}\mathrm{=}0.0;{\mathit{DR}}_{X}^{\mathit{P1}}\mathrm{=}0.0;{\mathit{DR}}_{Y}^{\mathit{P1}}\mathrm{=}0.0;{\mathit{DR}}_{Z}^{\mathit{P1}}\mathrm{=}0.0`

On point :math:`\mathit{P2}` we apply a loading according to :math:`X,Y,Z`:

:math:`{F}_{X}=100.0N;{F}_{Y}=100.0N;{F}_{Z}=-100.0N`