  We derived a non-linear 4th-order ordinary differential equation the
solutions of which lead to the exact shapes of the cantilever beam. The result
of the equation in a non-dimensional form was found to depend on two parameters
only: the angle of the beam at the fixed end, and the parameter encompassing
the material characteristics and geometry of the beam. The parameter space was
explored in detail and the results were used to suggest the areas in which they
could be applied.

Classical Physics