Originally Posted by Mike Mills

You do realize that this statement is inherently incorrect, don't you?

If the question is about stiffness, you cannot answer it by discussing strength. You must respond in the context of stiffness - rigidity, resistance to deflection, high natural frequency. Strength really has nothing to do with it (stiffness).

Any bike that you can buy has already been designed by someone out there who had to do the design studies, make the trade-offs, elect the materials, build a protoytpe and test it, refine the design, ... Then they had to make further compromises as they moved into mass production. They've already done the stiffness and strength work for you.