Thermal Expansion of A-36 Steel Rails: -20F to 90F

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Discussion Overview

The discussion revolves around the thermal expansion of A-36 steel rails used in train tracks, specifically addressing the required gap between rails to accommodate expansion when temperatures rise from -20°F to 90°F. The conversation includes calculations related to thermal deformation and practical implications for rail installation and maintenance.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant calculates the thermal deformation of the rail as 0.34848 inches and questions whether this deformation is split between both ends of the rail, suggesting each side would expand by 0.17424 inches.
  • Another participant raises the consideration of multiple rails, arguing that the total expansion must account for the adjacent rails also expanding, which could imply a need for a larger gap.
  • A different participant agrees that while one side of a rail expands by 0.1742 inches, the adjacent rail will also expand by the same amount, impacting the overall gap needed.
  • One participant speculates about practical challenges for railroad engineers, noting that uneven installation could lead to asymmetric movement of rails during expansion and contraction, potentially causing variations in gap size over time.
  • Another participant mentions the transition to continuous welded rail (CWR) systems, questioning how thermal expansion is managed in this context and whether stronger ties and fixings can mitigate buckling due to expansion forces.

Areas of Agreement / Disagreement

Participants express differing views on how to calculate the necessary gap for thermal expansion, with some suggesting that adjacent rails also contribute to the required gap. The discussion remains unresolved regarding the implications of rail installation practices and the management of thermal expansion in CWR systems.

Contextual Notes

There are limitations in the assumptions made about the uniformity of rail installation and the effects of thermal expansion on adjacent rails. The discussion does not resolve how these factors influence the required gap or the behavior of CWR under temperature changes.

gv3
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Homework Statement


The 40 ft long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap in inches so that the rails just touch one another when the temperature is increased from -20 F to 90 F. The cross sectional area of each rail is 5.10 in2.
engineering.jpg


So i was able to find out the deformation on the rail. My question is, does the .34848in get split between both ends of the rail since both sides are free ends? So each side would expand .17424in?

Homework Equations


δ=αΔTL[/B]

The Attempt at a Solution


δ=αΔTL= .34848 in[/B]
 
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Does it make any difference?
Consider having a large number of rails, as in reality you would. Then think about the total expansion of the rails, then the total gap required, then the gap between each rail.
 
Merlin3189 said:
Does it make any difference?
Consider having a large number of rails, as in reality you would. Then think about the total expansion of the rails, then the total gap required, then the gap between each rail.
well because i was thinking that not only will the rail in the middle expand, but the one on the left and right of it would also expand. So if the deformation wasn't split between both ends, the gap would have to be 2δ. Because the rail in the middle will expand by δ and the rails next to it will also expand by δ.
 
Yes, one side would expand 0.1742, but the adjacent rail would also expand by that much.
 
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I think that is what is intended to happen. My point was simply about the calculation.

But I wonder if that may be a practical problem for RR engineers? The rail doesn't know which way it is supposed to move, so if the spikes and ties aren't uniform, the rail could move slightly asymmetrically when it expands and contracts. Over years perhaps the rails could creep and make the gaps vary in size?

Anyhow, over here we are moving to continuous welded rail, so there are no gaps any more. What happens when the rails warm up, I don't know. I think some CWR is laid hot, so that it lives in various states of tension. Maybe with stronger ties and fixings expansion forces can now be resisted and not cause buckling?
 
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