Question
Asked Dec 1, 2019
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Steel train rails are laid in 14.0-m-long segments placed end to end. The rails are laid on a winter day when their temperature is -5.0 ∘C. How much space must be left between adjacent rails if they are just to touch on a summer day when their temperature is 31.0 ∘C? If the rails are originally laid in contact, what is the stress in them on a summer day when their temperature is 31.0 ∘C (answer in Pascals)?

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Expert Answer

Step 1

The co-efficient for the thermal expansion of the steel rails is 11×10^-6 /⁰C.

Final length of the rail road after expansion will be:

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L LoaLAT Le +al (T,-T) 14.0 m L (1+(11x 10" / °C)(31°C-(-5°C) 14.0 m Lo (1+3.96x10 =13.994 m

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Step 2

Now the length that must be left blank will be the difference between final...

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AL L-L 14.0 m -13.994 m = 0.006 m

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