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

The objective of this test case is to validate the Harlequin Beam-3D connection in Code_Aster.

We compare the results obtained with those from two models in Code_Aster:


* 1D reference mono-modeling


* 1D-3D mixed reference modeling with 3D connection_ POU


Geometry
---------

We consider a beam with a length of 0.35 m along the X axis, embedded at its left end and loaded with a concentrated force F at its right end. The cross section of the beam is a rectangle with a width b and a height h (in this case: b = h = 0.02 m).


.. image:: images/10000200000002A00000006C876BE78652190138.png
    :width: 5.7673in
    :height: 0.9272in


.. _RefImage_10000200000002A00000006C876BE78652190138.png:

**Image** 1.1-1 **: Rotor geometry**


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

The cantilever beam has a density of :math:`\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}`.

The Young's modulus is :math:`E\mathrm{=}2.{10}^{11}N{m}^{\mathrm{-}2}` and the Poisson's ratio is :math:`\nu \mathrm{=}\mathrm{0,3}`.


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

The left end of the beam (X = 0.15 m) is fixed, and the right end (X = 0.5 m) is subjected to a concentrated load directed vertically downward at a value of 500 N.