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


Geometry
---------


.. image:: images/10000000000003DF00000290AB1D814EF0129597.png
    :width: 5.3654in
    :height: 3.7382in


.. _RefImage_10000000000003DF00000290AB1D814EF0129597.png:

Rope thickness :math:`\mathit{ep}\mathrm{=}\mathrm{1 }\mathit{mm}`.

Pulley thickness :math:`a\mathrm{=}\mathrm{1 }\mathit{mm}`.

Position of the reference points on the contact surface (:math:`\mathit{mm}`)


.. csv-table::

    "", ":math:`x` "," :math:`y` ", ""
    ":math:`A` ", "0", "4", "0"
    ":math:`B` ", "0", "3", "0"
    ":math:`C` ", "0", "3", "0"



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

**Plate for pulley and rope:**

Poisson's ratio: :math:`0.4762`

Young's module: :math:`147.619{10}^{5}N\mathrm{/}{m}^{2}`

**Finite contact elements:**

Integration: Nodes

Method parameter:

coef_regu_cont=1.


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

The pulley is stuck:


* on its internal surface the displacement is zero in both directions :math:`x` and :math:`y`.

No boundary conditions are imposed on the rope except that of contact.

Charging:


* two vertical movements are imposed on both ends of the :math:`u\mathrm{=}1` rope