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Expansion of steel railway

  • #1
https://drive.google.com/file/d/0Byoif068nH-zbk8tVmhCQVlYMlk/view?usp=drivesdk
1. Homework Statement

The steel railway will be constructed in a place that temperature can change 8°C. Length of each rail is 10 m. With α=11*10^-6 . Minimum space required between the rail is...

Homework Equations


ΔL= L0 α Δt

The Attempt at a Solution


I confuse wether i should multiply it by 2 or not. Where does the expansion go (direction). Is it only to one or two direction (left or right)?

Picture https://drive.google.com/file/d/0Byoif068nH-zbk8tVmhCQVlYMlk/view?usp=drivesdk
 

Answers and Replies

  • #2
haruspex
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Where does the expansion go (direction). Is it only to one or two direction (left or right)?
The expansion does not have a direction unless you nail one end in place. It is just a change in overall length.
 
  • #3
CWatters
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I confuse wether i should multiply it by 2 or not. Where does the expansion go (direction). Is it only to one or two direction (left or right)?
Apply the same rule to the sections of track either side of the one you are considering. You will find it makes no difference...

If it goes "one way" then the increase in length encroaches into one gap (the other end is fixed).

If it goes two ways half the increase in length encroaches into two gaps (one each end) but then the same applies to the sections either side. So again one increase in length encroaches into one gap.
 
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