It occurred to me though — when did they start calling them "fallout" shelters rather than "bomb" shelters?
I'm guessing (after having read "The Making of the Atomic Bomb") that this would be about when the hydrogen bomb came along.
It was sobering to read how dramatically more powerful the fusion bomb was compared to the first fission bombs. Suddenly the idea of going into a basement shelter to "survive" the blast became laughable. If you were far enough from the blast though your only comfort could come from a shelter from the fallout.