aerosandbox.structures.legacy.simple_beam_opt
=============================================

.. py:module:: aerosandbox.structures.legacy.simple_beam_opt

.. autoapi-nested-parse::

   Simple Beam

   A simple 2D beam example, to be integrated later for full aerostructural modeling. TODO do that.

   Governing equation for bending:
   Euler-Bernoulli beam theory.

   (E * I * u(x)'')'' = q(x)

   where:
       * E is the elastic modulus
       * I is the bending moment of inertia
       * u(x) is the local displacement at x.
       * q(x) is the force-per-unit-length at x. (In other words, a dirac delta is a point load.)
       * ()' is a derivative w.r.t. x.

   Governing equation for torsion:
   phi(x)'' = -T / (G * J)

   where:
       * phi is the local twist angle
       * T is the local torque per unit length
       * G is the local shear modulus
       * J is the polar moment of inertia
       * ()' is a derivative w.r.t. x.



Attributes
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.. autoapisummary::

   aerosandbox.structures.legacy.simple_beam_opt.opti


Module Contents
---------------

.. py:data:: opti