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

AI Thread Summary
The deformation of a composite bar subjected to a centric force P is uniform across the entire bar, despite the differing elastic moduli of the materials involved. The composite structure consists of two materials, with the outer layers (material 1) bonded to a central layer (material 2). To determine the deformation, one must apply relevant equations and consider the material properties, as the deformation will be dictated by the material with the least deformation capacity. It is essential to show all calculations and equations used in the analysis for verification. The problem was ultimately resolved by the original poster.
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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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