Thermal expansion of each dimension of a solid

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SUMMARY

The discussion focuses on the thermal expansion of solids, specifically how the linear expansion equation L = L_0 (1 + α ΔT) applies to each dimension of a solid, such as an annular disc made of steel. Participants confirm that this equation can be applied individually to each dimension without considering interdependencies. The linear expansion coefficient (α) is crucial for accurate calculations, and the uniform heating condition simplifies the analysis.

PREREQUISITES
  • Understanding of thermal expansion principles
  • Familiarity with the linear expansion equation L = L_0 (1 + α ΔT)
  • Knowledge of material properties, specifically for steel
  • Basic concepts of dimensional analysis
NEXT STEPS
  • Research the thermal expansion coefficients for various materials
  • Explore applications of the linear expansion equation in engineering design
  • Learn about the effects of constraints on thermal expansion
  • Investigate the relationship between temperature changes and material stress
USEFUL FOR

Engineers, physicists, and materials scientists interested in the thermal properties of solids and their applications in design and manufacturing processes.

hoomanya
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Hi, I am trying to work out how much each dimension of a solid (for instance an annular disc) made out of steel changes assuming that the solid is heated uniformly and is not constrained at any of its boundaries. Am I right in saying that, the linear expansion equation L = L_0 (1+ α ΔT) can be applied to each dimension individually or should the dimensions be considered related and/or the calculations are more complex?
Thanks,
 
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hoomanya said:
Am I right in saying that, the linear expansion equation L = L_0 (1+ α ΔT) can be applied to each dimension individually
You are right. You can apply that expansion formula to any linear dimension.
 

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