Young's modulus when you join two different materials

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SUMMARY

The discussion centers on calculating the effective Young's modulus when two materials with different Young's moduli, denoted as y1 and y2, are joined together. The proposed solution suggests using a weighted average formula: ynew = 0.5 * (y1 + y2). This approach assumes equal contribution from both materials due to their identical length and radius. Additionally, the conversation touches on the application of this concept in reinforced concrete, indicating a need for further exploration of composite material behavior.

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  • Ability to apply formulas related to elasticity, specifically F/a = y (ΔL/Lo).
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Homework Statement


If you have two materials of equal length and radius and then you join them together.
Material 1 young's modulus = y1
material 2 young's modulus = y2


Homework Equations


F/a = y Lchange / Lo


The Attempt at a Solution


Given they are of the same length and radius. Is the "new" youngs modulus simply their weighted average:
ynew = 0.5 * (y1 + y2)
 

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how can I find the elastic modulus in reinforced concrete section
 

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