# Deformation of a dicomponent rod under tension

1. Oct 16, 2013

### Woopydalan

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
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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• ###### 9.16 attempt 1.pdf
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2. Oct 16, 2013

### haruspex

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.

3. Oct 16, 2013

### Woopydalan

Wouldn't that mean that you need the answer to part b to solve part a? That is why I am confused I think

4. Oct 16, 2013

### haruspex

Yes, the questions are asked in reverse of the logical order.

5. Oct 17, 2013

### Woopydalan

Here is my attempt 2. How does it look?

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• ###### 9.16 attempt 2.pdf
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6. Oct 17, 2013