.. _sphx_glr_api_gallery_structural_engineering_plasticity:

Plasticity
----------

Plastic hinges and collapse loads.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="In 1914 Gábor Kazinczy loaded steel beams built into concrete walls in Budapest. They carried far more than the elastic theory allowed: when the most stressed section yielded through its whole depth it went on turning at a constant plastic moment M_p = \sigma_yZ_p (a plastic hinge), and the load moved to other sections until enough hinges had formed to make a mechanism. For a rectangle Z_p = bh^2/4, 1.5 times the elastic modulus (~engineeringkit.structural_engineering.plastic_section_modulus). The collapse load follows from the work equation of the mechanism (~engineeringkit.structural_engineering.plastic_collapse_load). The example follows a built-in beam under a uniform load from first yield, through hinges at the walls, to collapse with a third hinge at midspan.">

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  .. image:: /api/gallery/structural_engineering/plasticity/images/thumb/sphx_glr_plot_01_kazinczy_plastic_hinge_thumb.png
    :alt:

  :doc:`/api/gallery/structural_engineering/plasticity/plot_01_kazinczy_plastic_hinge`

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      <div class="sphx-glr-thumbnail-title">Kazinczy's plastic hinge (1914)</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /api/gallery/structural_engineering/plasticity/plot_01_kazinczy_plastic_hinge