An aluminum cylinder with a steel wire attached

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Discussion Overview

The discussion revolves around the thermal expansion of a system consisting of an aluminum cylinder with a steel wire attached. Participants explore how the wire expands when heated, the implications of bending, and the calculation of stress in the wire, considering the effects of both materials' thermal expansion properties.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions how the bent steel wire expands when heated, specifically whether it expands horizontally or vertically.
  • Another participant suggests treating the short cross pieces of wire as strong brackets, implying they do not bend.
  • A participant expresses confusion about why the aluminum cylinder affects the steel wire's expansion, questioning the nature of linear expansion in this context.
  • A question is raised regarding the coefficients of thermal expansion for aluminum and steel, seeking a comparison between the two materials.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the effects of the aluminum cylinder on the steel wire or the specifics of how the wire expands. Multiple viewpoints and questions remain unresolved.

Contextual Notes

There are assumptions regarding the behavior of the wire and the interaction between the materials that are not fully explored, particularly concerning the bending of the wire and the implications of linear expansion.

Dingleberg
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Hi! So when this system gets heated, how does the wire expand if it is bent like that? Would it expand horizontally or vertically? Also, when calculating the stress for the wire, I know that I use the thermal expansion equation for dL of steel, but other people said that you have to also subtract that by dL of aluminum, why? I can't picture that in my head for some reason.

My process was:

Stress in wire = Y(αΔT)
and the answer I got was 2.4*10^7 N/m^2
 
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You have to assume that the short cross pieces of wire do not bend . Just treat them as very strong brackets .
 
Nidum said:
You have to assume that the short cross pieces of wire do not bend . Just treat them as very strong brackets .

Oh all right, but why does the cylinder affect the steel wire if this is a linear expansion? It does not push the brackets or steel wire in any sort of way.

Thank you for your response by the way :)
 
Is the coefficient of expansion for Aluminium more or less than that for steel ?
 

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