Stress of a material with a core

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SUMMARY

The discussion focuses on calculating the stress in a composite rod consisting of a steel core and an aluminum shell when subjected to temperature changes. The correct approach involves equating the deformations of both materials rather than simply adding the stresses induced by temperature changes for each material separately. This method ensures accurate stress calculations in composite materials, addressing the complexities introduced by differing thermal expansion coefficients.

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  • Understanding of thermal expansion coefficients for steel and aluminum
  • Knowledge of stress-strain relationships in materials
  • Familiarity with composite material mechanics
  • Basic principles of mechanics of materials
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joeblow
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If I have a rod with a steel core bonded to an aluminum shell, how can I find the stress in the rod when it is subjected to a temperature change?

I know how to find the stress due to temp change if the tool is made of the same material throughout, but how do I do it if there are two?

I attempted to find the loads induced by the temp changes for the two materials separately, add them, then find the stress that way, but this led to an incorrect answer.
 
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Figured it out. PROTIP: Equate the deformations of both materials.
 

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