At the ISA Conference in Winnipeg last fall, one of the main speakers was not a tree guy at all, but an architect. This architect happened to have a keen interest in trees. He came out very strongly with studies to back it that properly installed concrete infrastructure does not conflict with tree roots. Even though many srborists argued with him, he adamantly maintained his position that tree roots cannot crack sound concrete. That fact that he was coming from a discipline asually on the other side of the argument was intriguing and held my interest. I wish I could remember more of it, and who the speaker was. then I could perhaps cite some references.
But I agree with Fireaxe that tree root would not normally be interested in your basement, unless it was already cracked and the root was seeking something, perhaps oxygen.
Roots seek perhaps the easiest path available, but maybe its not that simple. They also seek moisture and oxygen.