Deformation of a dicomponent rod under tension

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Homework Help Overview

The discussion revolves around the deformation of a dicomponent rod under tension, specifically analyzing the elongation of different segments of the rod when subjected to fixed and variable conditions.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the reasoning behind calculating total elongation, considering whether to sum the elongations of segments AB and BC or to focus solely on one segment. Questions arise regarding the implications of the deformation at point B and its relationship to the overall problem.

Discussion Status

Some participants have provided guidance on the need to consider both segments for total deformation, while others express confusion about the order of the questions and their interdependencies. There is an ongoing exploration of the implications of these relationships.

Contextual Notes

Participants note that the questions may be presented in a reverse logical order, which contributes to the confusion regarding the relationship between parts a and b of the problem.

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For this problem, my thinking was that since the top of the rod is fixed, then the only part that is elongating is the bottom, so I found the part elongating at AB and said that was the total elongation. I am not sure if this reasoning is sound. I suppose the other possibility would be to add up AB and BC to get the total, but then I don't know what the deformation at point B means. I am interpreting that as the elongation of BC.
 

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Yes, you need to add them for the total deformation, and the deflection of B is the change in length of BC (since C appears to be a fixed point). I haven't checked the arithmetic but your equations look right.
 
Wouldn't that mean that you need the answer to part b to solve part a? That is why I am confused I think
 
Woopydalan said:
Wouldn't that mean that you need the answer to part b to solve part a? That is why I am confused I think
Yes, the questions are asked in reverse of the logical order.
 
Here is my attempt 2. How does it look?
 

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Looks about right.
 

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