To overcome a fear, here's all you have to do: realize the fear is there, and do the action you fear anyway.
Men flocked to see it and ascended it as it was a novelty and of unique dimensions. It was the toy of the exhibition. So long as we are children we are attracted by toys, and the tower was a good demonstration of the fact that we are all children attracted by trinkets. That may be claimed to be the purpose served by the Eiffel Tower.