.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/trusses/plot_truss01.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_examples_trusses_plot_truss01.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_trusses_plot_truss01.py:


==========================
Simple triangular truss.
==========================

The system is statically determined and allows for easy validation of
calculated deformation, reactions and internal forces.

Author: Peter Mackenzie-Helnwein

.. GENERATED FROM PYTHON SOURCE LINES 14-15

Setup

.. GENERATED FROM PYTHON SOURCE LINES 15-22

.. code-block:: Python


    from femedu.examples import Example

    from femedu.domain import System, Node
    from femedu.elements.linear import Truss
    from femedu.materials import FiberMaterial








.. GENERATED FROM PYTHON SOURCE LINES 23-24

Create the example by subclassing the :py:class:`Example`

.. GENERATED FROM PYTHON SOURCE LINES 24-65

.. code-block:: Python


    class ExampleTruss01(Example):

        def problem(self):
            # initialize a system model
            B = 6.0 * 12
            H = 3.0 * 12
            params = {'E': 10., 'A': 1., 'nu': 0.0, 'fy': 1.e30}

            model = System()

            # create nodes
            nd0 = Node(0.0, 0.0)
            nd1 = Node(  B, 0.0)
            nd2 = Node(0.5*B, H)

            model.addNode(nd0, nd1, nd2)

            # create elements
            model.addElement(Truss(nd0, nd1, FiberMaterial(params)))  # bottom 1
            model.addElement(Truss(nd0, nd2, FiberMaterial(params)))  # up right diag 1
            model.addElement(Truss(nd1, nd2, FiberMaterial(params)))  # up left diag 1

            # define support(s)
            nd0.fixDOF('ux', 'uy')    # pin support left end
            nd1.fixDOF('uy')            # roller support right end

            # add loads
            # .. load only the upper nodes
            nd2.setLoad([0.0, -1.0], ('ux', 'uy'))

            # analyze the model
            model.solve()

            # write out report
            model.report()

            # create plots
            model.plot(factor=1., filename="truss01_deformed.png")
            model.beamValuePlot('f',filename="truss01_forces.png")








.. GENERATED FROM PYTHON SOURCE LINES 79-81

Run the example by creating an instance of the problem and executing it by calling :py:meth:`Example.run()`


.. GENERATED FROM PYTHON SOURCE LINES 81-86

.. code-block:: Python


    if __name__ == "__main__":
        ex = ExampleTruss01()
        ex.run()




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


    *

      .. image-sg:: /auto_examples/trusses/images/sphx_glr_plot_truss01_001.png
         :alt: Deformed System (magnification=1.00)
         :srcset: /auto_examples/trusses/images/sphx_glr_plot_truss01_001.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /auto_examples/trusses/images/sphx_glr_plot_truss01_002.png
         :alt: Axial Forces
         :srcset: /auto_examples/trusses/images/sphx_glr_plot_truss01_002.png
         :class: sphx-glr-multi-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none


    System Analysis Report
    =======================

    Nodes:
    ---------------------
      Node_0:
          x:    [0.000 0.000]
          fix:  ['ux', 'uy']
          u:    [0.000 0.000]
      Node_1:
          x:    [72.000 0.000]
          fix:  ['uy']
          u:    [3.600 0.000]
      Node_2:
          x:    [36.000 36.000]
          P:    [0.000 -1.000]
          u:    [1.800 -6.891]

    Elements:
    ---------------------
      Truss: Node_0 to Node_1:
          material properties: FiberMaterial(Material)({'E': 10.0, 'A': 1.0, 'nu': 0.0, 'fy': 1e+30})  strain:0.04999999999999999   stress:{'xx': np.float64(0.4999999999999999), 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: 0.4999999999999999
      Truss: Node_0 to Node_2:
          material properties: FiberMaterial(Material)({'E': 10.0, 'A': 1.0, 'nu': 0.0, 'fy': 1e+30})  strain:-0.07071067811865474   stress:{'xx': np.float64(-0.7071067811865474), 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: -0.7071067811865474
      Truss: Node_1 to Node_2:
          material properties: FiberMaterial(Material)({'E': 10.0, 'A': 1.0, 'nu': 0.0, 'fy': 1e+30})  strain:-0.07071067811865472   stress:{'xx': np.float64(-0.7071067811865472), 'yy': 0.0, 'zz': 0.0, 'xy': 0.0}  
          internal force: -0.7071067811865472






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

   **Total running time of the script:** (0 minutes 1.637 seconds)


.. _sphx_glr_download_auto_examples_trusses_plot_truss01.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: plot_truss01.ipynb <plot_truss01.ipynb>`

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

      :download:`Download Python source code: plot_truss01.py <plot_truss01.py>`

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

      :download:`Download zipped: plot_truss01.zip <plot_truss01.zip>`


.. only:: html

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

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