Carbon fiber is exceptionally strong, right? That, along with its lightness, is why it's used in race cars, correct? Yes, it is incredibly strong, but only in one direction. If you apply brute force to carbon fiber in a direction it's not designed to bend, well, this happens.
This video comes to us from the on YouTube, which has displayed a stunning commitment to crushing anything and everything with an ultra-strong hydraulic press. While there's a high entertainment value to this clip–Hey look! Stuff getting destroyed!–it's quite educational too.
When the carbon fiber pieces are stacked upright, they're destroyed with ease, but when the press operator tries to destroy a sandwiched piece of carbon fiber, it remains unscathed. Only driving a nut through the piece does any sort of damage.
So yes, carbon fiber is strong, but only under certain circumstances.