What is the deformation of a composite bar subjected to a centric force P?

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SUMMARY

The deformation of a composite bar subjected to a centric force P is uniform across the entire bar, despite differing Young's moduli (E values) of the materials involved. The composite bar consists of two materials, with the outer layers being material 1 and the middle layer being material 2. The deformation can be calculated using relevant equations that account for the properties of both materials, ensuring that the deformation is consistent across any cross-section of the bar. The problem requires the identification and application of these equations to determine the overall deformation accurately.

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  • Understanding of composite materials and their properties
  • Knowledge of Young's modulus and its significance in deformation calculations
  • Familiarity with basic mechanics of materials
  • Ability to apply relevant equations for deformation analysis
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  • Learn how to calculate deformation using the formula for axial deformation
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Homework Statement



Determine the deformation of a composite bar is subjected to a centric force P.

This is a general question. The composite bar is made of 2 materials. The top and bottom layer is material 1, and the middle layer is material 2. I can't think of a better way to describe how the materials are aligned but think of an icecream sandwich where material 2 is the icecream and material 1 is the outer chocolate pieces.

Now is it safe to say that the deformation of the entire bar is going to be the same? Because both materials have different E values, but since the outer pieces are brazed to the center piece, deformation of the whole bar is 1 value correct?

That being so, how exactly would I go about finding the deformation? Would it just be the deformation of the bar that causes the least amount of deformation?
 
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Yes, deformation of the bar will be the same across a cross section. How to go about it is what you need to figure out. You must list relevant equations yourself, and show your work; and then someone might check your math.
 
nvn said:
Yes, deformation of the bar will be the same across a cross section. How to go about it is what you need to figure out. You must list relevant equations yourself, and show your work; and then someone might check your math.

Alright thanks nvm, I got the problem.
 

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