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


Geometry
---------


.. image:: images/1000385A00002F8B00000BC8E7F7F6A9553CA9D3.svg
    :width: 613
    :height: 152


.. _RefImage_1000385A00002F8B00000BC8E7F7F6A9553CA9D3.svg:

**Rectangular straight section:**


.. csv-table::

    "height:", ":math:`h=0.2m`"
    "width:", ":math:`b=0.1m`"
    "do:", ":math:`A={2.10}^{-2}{m}^{2}`"
    "inertia:", ":math:`\mathrm{Iz}=6.667{10}^{-5}`"
    "shear:", ":math:`\mathrm{Ay}=\mathrm{Az}=1.17692`"
    "twist:", ":math:`\mathit{Jx}\mathrm{=}0.45776042{10}^{\mathrm{-}4}`"


**Beam length**

:math:`L=1.m`

**Point coordinates** (:math:`m`) **:**


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C` "," :math:`D`"
    ":math:`x` ", "0. ", "1. ", "0. ", "1."
    ":math:`y` ", "0. ", "0. ", "— 0.1", "— 0.1"



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

:math:`E={2.10}^{11}\mathrm{Pa}`

:math:`\nu =0.3`

:math:`\rho =7800.\mathrm{kg}/{m}^{3}`


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


.. csv-table::

    "Problem 1:", "Point :math:`A` "," :math:`u=v=0.` ", "Point :math:`B` "," :math:`v=0.`"
    "Problem 2:", "Point :math:`C` "," :math:`u=v=0.` ", "Point :math:`D` "," :math:`v=0.`"