Whiteley \cite{wh} gives a complete characterization of the infinitesimal
flexes of complete bipartite frameworks. Our work generalizes a specific
infinitesimal flex to include joined graphs, a family of graphs that contain
the complete bipartite graphs. We use this characterization to identify new
families of counterexamples, including infinite families, in $\R^5$ and above
to Hendrickson's conjecture on generic global rigidity