.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/HelloWorld.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_examples_HelloWorld.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_HelloWorld.py:


.. _HelloWorld:

HelloWorld
==========

A cantilever beam undergoing bending deformation.

.. GENERATED FROM PYTHON SOURCE LINES 14-57



.. rst-class:: sphx-glr-horizontal


    *

      .. image-sg:: /examples/images/sphx_glr_HelloWorld_001.png
         :alt: QUAD9: Ne = 81, Nn = 385
         :srcset: /examples/images/sphx_glr_HelloWorld_001.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /examples/images/sphx_glr_HelloWorld_002.png
         :alt: Boundary conditions
         :srcset: /examples/images/sphx_glr_HelloWorld_002.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /examples/images/sphx_glr_HelloWorld_003.png
         :alt: $uy$
         :srcset: /examples/images/sphx_glr_HelloWorld_003.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /examples/images/sphx_glr_HelloWorld_004.png
         :alt: $\sigma_{vm}$
         :srcset: /examples/images/sphx_glr_HelloWorld_004.png
         :class: sphx-glr-multi-img





.. code-block:: Python
   :lineno-start: 15


    import matplotlib.pyplot as plt

    from EasyFEA import Display, ElemType, Models, Simulations
    from EasyFEA.Geoms import Domain

    # ----------------------------------------------
    # Mesh
    # ----------------------------------------------
    L = 120  # mm
    h = 13

    domain = Domain((0, 0), (L, h), h / 3)
    mesh = domain.Mesh_2D([], ElemType.QUAD9, isOrganised=True)

    # ----------------------------------------------
    # Simulation
    # ----------------------------------------------
    E = 210000  # MPa
    v = 0.3
    F = -800  # N

    mat = Models.Elastic.Isotropic(2, E, v, planeStress=True, thickness=h)

    simu = Simulations.Elastic(mesh, mat)

    nodesX0 = mesh.Nodes_Conditions(lambda x, y, z: x == 0)
    nodesXL = mesh.Nodes_Conditions(lambda x, y, z: x == L)

    simu.add_dirichlet(nodesX0, [0, 0], ["x", "y"])
    simu.add_surfLoad(nodesXL, [F / h / h], ["y"])

    simu.Solve()

    # ----------------------------------------------
    # Results
    # ----------------------------------------------
    Display.Plot_Mesh(simu, deformFactor=10)
    Display.Plot_BoundaryConditions(simu)
    Display.Plot_Result(simu, "uy", plotMesh=True)
    Display.Plot_Result(simu, "Svm", plotMesh=True, ncolors=11)

    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.525 seconds)


.. _sphx_glr_download_examples_HelloWorld.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: HelloWorld.ipynb <HelloWorld.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: HelloWorld.py <HelloWorld.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: HelloWorld.zip <HelloWorld.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_