I don't have time to really research into this, but here is a quick table:
http://www.performance-composites.co...operties_2.asp
You might be able to find a better table that lists properties like tensile strength, compressive strength, Young's modulus, etc. This has all been researched and is part of Materials Science. But quickly, that table shows that carbon fiber is weaker than metals, especially when it comes to compressive strength. For some applications, carbon can be better
at the same weight as the metal, but overall, carbon is more brittle than metals, which are ductile. This is pretty much known. Sure, some producers try to overcome this, but there is no standardization of carbon fiber production, and this is why engineers stay away from carbon, at least for now.
Also remember that steel becomes stronger the more carbon is added, but at the same time this additional carbon makes steel brittle.
There is some great hope in the future of carbon nanotubes, but that's still the future.