Why the bridge has gaps
Warm a solid and it grows — every metre of it, by a tiny fixed fraction per degree. The machine is (read aloud: delta-L equals alpha L-nought delta-T — is alpha, and is said “L-nought”, the length before the warmth). For steel, : twelve millionths of its length, per degree.
Twelve millionths sounds like nothing — until is a hundred-metre bridge deck and is a Canadian summer. A tiny fraction of a very long thing is real millimetres, which is why decks ride on expansion joints and rails are laid with gaps. Mind the units on the way out: the machine answers in metres, and the question usually wants millimetres — cross the ×1000 bridge last.
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