  In our analysis, we show that Howell et al.'s nonlinear beam theory does not
depict a representation of the Euler-Bernoulli beam equation, nonlinear or
otherwise. The authors' nonlinear beam theory implies that one can bend a beam
in to a constant radius of deformation and maintain that constant radius of
deformation with zero force. Thus, the model is disproven by showing that it is
invalid when the curvature of deformation is constant, while even the linear
Euler-Bernoulli beam equation stays perfectly valid under such deformations. To
conclude, we derive a nonlinear beam equation by using Ciarlet's nonlinear
plate equations and show that our model is valid for constant radius of
deformations.
