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


Geometry
---------


.. image:: images/100000000000036900000380368E562F926A2A9A.png
    :width: 3.9807in
    :height: 4.0752in


.. _RefImage_100000000000036900000380368E562F926A2A9A.png:



**Figure 1.1 Problem geometry and loading system**

Length: :math:`L=0.24m`

Radius: :math:`R=0.006m`


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


.. csv-table::

    "Young's module", ":math:`E=2.1\times {10}^{11}\mathit{Pa}`"
    "Poisson's Ratio", ":math:`\nu =0.3`"



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

Imposed displacement:

.. math::
: label: EQ-None

    \ textrm {Embedding on the side}
    \ mathit {AB}

Imposed load: :math:`{p}_{0}=10000\mathit{Pa}`

.. csv-table::

    "External pressure on side :math:`\mathit{BC}` ", "Radial component: :math:`-{p}_{0}\frac{R}{L}\mathrm{sin}(\theta )` (normal to circumference)
    Axial component: :math:`{p}_{0}\frac{z}{L}\mathrm{sin}(\theta )` (following :math:`z`)"
    "External pressure on side :math:`\mathit{DC}` ", "Radial component: :math:`{p}_{0}\mathrm{sin}(\theta )` (following :math:`r`)
    Circumferential component: :math:`{p}_{0}\mathrm{cos}(\theta )` (following :math:`\theta`)
    Axial component: :math:`\frac{1-\nu }{\text{}\nu }\frac{{p}_{0}r}{L}\mathrm{sin}(\theta )` (normal to the section)"