Front Frame Rail Rot

I was removing the K-member of the Duster this evening. I discovered that the top of the frame rail between the upper A arm mounts was rotted out. I have an idea of what I need to do, but I'm looking for some advice. My idea is to cut pieces of steel and patch the rotted sections. Will this work, or do I need to be looking for a new frame rail? Here are some pics.

Thanks,
Aaron