Young's modulus when you join two different materials

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When joining two materials with different Young's moduli, the new modulus is not simply the weighted average of the two. Instead, the effective Young's modulus can be calculated using the formula that considers the properties of both materials and their arrangement. The discussion emphasizes the importance of understanding how the materials interact under stress and strain. For reinforced concrete, the elastic modulus can be determined by considering the proportions and properties of the concrete and reinforcement materials. Accurate calculations are essential for predicting the behavior of composite materials under load.
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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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