Exercises
=========

One exercise set per domain, each built on that domain's gallery. Every
problem links the example it builds on. Try a problem before opening its
solution: the solutions are hidden in drop-downs, run when the
documentation is built, and are checked by the test suite, so the numbers
they print are the numbers the code produces.

.. rubric:: Structures and Machines

- :doc:`structural_engineering` -- sizing a beam for stiffness, a column under four end conditions, a truss by hand and by stiffness.
- :doc:`mechanical_engineering` -- damping from a free decay, isolating a machine, a gearbox and its bearing.

.. rubric:: Energy and Flow

- :doc:`thermodynamics` -- Otto against Diesel, the best pressure ratio of a gas turbine, a heat pump against the second law.
- :doc:`fluid_engineering` -- Colebrook against Swamee-Jain, a venturi meter, water hammer.
- :doc:`heat_transfer` -- an insulated wall, a pin fin, quenching a steel ball.
- :doc:`aerodynamics` -- stall speed at altitude, the best glide, a normal shock in an intake.

.. rubric:: Circuits, Signals and Control

- :doc:`electrical_engineering` -- charging a capacitor, a series resonant circuit, power-factor correction.
- :doc:`control_systems` -- the largest stable gain, a servomechanism to specification, an LQR for a double integrator.
- :doc:`signal_processing` -- aliasing, bits and SNR, FIR against IIR.
- :doc:`communications` -- where to put the cable, the Shannon limit, Carson's rule.

.. rubric:: Materials and Reliability

- :doc:`materials` -- Tresca against von Mises, fatigue crack growth, the specific stiffness of a composite.
- :doc:`reliability` -- three Weibull shapes, redundant pumps, availability and a safety integrity level.

.. toctree::
   :hidden:

   structural_engineering
   mechanical_engineering
   thermodynamics
   fluid_engineering
   heat_transfer
   aerodynamics
   electrical_engineering
   control_systems
   signal_processing
   communications
   materials
   reliability