Modeling I
==============

Characteristics of modeling
------------------------

Hollow circular section, with external radius :math:`\mathrm{10mm}`, and thickness :math:`\mathrm{1mm}`.


Characteristics of the mesh
----------------------------

Number of meshes: 300 QUAD8


Benchmark solution
---------------------

:math:`C={I}_{x}=\pi \left[\frac{{R}^{4}}{2}-\frac{{\left(R-e\right)}^{4}}{2}\right]=5401.97{\mathit{mm}}^{4}`


Tested sizes and results
------------------------------

The torsional constant is equal to:

.. csv-table::

    "**Identification**", "**Reference**", "**% difference**"
    ":math:`\mathit{JX}` ", "5401.97", "—0.194"