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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 208
    :height: 94


.. _RefImage_Object_1.svg:

**Figure-** 1.1-a


.. image:: images/Object_2.svg
    :width: 208
    :height: 94


.. _RefImage_Object_2.svg:

**Figure-** 1.1-b

:math:`1m` length straight beam.

inclination :math:`20°` with respect to :math:`x` (trigonometric direction).

**Section features:**

:math:`S\mathrm{=}\pi \mathrm{\times }{0.01}^{2}{m}^{2}`


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


.. csv-table::

    "Young's module", ":math:`E\mathrm{=}2.{10}^{11}\mathit{Pa}`"
    "Poisson's Ratio", ":math:`\nu =\mathrm{0,3}`"
    "Density", ":math:`\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}`"



Boundary conditions and loading
------------------------------------

**Boundary condition:**


* For distributed loading []

Embedded :math:`A` and :math:`B` nodes: :math:`\mathit{DX},\mathit{DY},\mathit{DZ},\mathit{DRX},\mathit{DRY},\mathit{DRZ}` blocked


* For one-time loading []

Knot :math:`A` embedded: :math:`\mathit{DX},\mathit{DY},\mathit{DZ},\mathit{DRX},\mathit{DRY},\mathit{DRZ}` blocked

**Loads:**


* :math:`f(t)\mathrm{=}1000\mathrm{\times }\mathrm{cos}(t)` following the :math:`\mathrm{AB}` direction

either spread out or applied to the :math:`B` end


* :math:`{M}_{T}(t)\mathrm{=}1000\mathrm{\times }\mathrm{cos}(t)` applied to the :math:`B` end