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Deformation of a dicomponent rod under tension

  1. Oct 16, 2013 #1
    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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  2. jcsd
  3. Oct 16, 2013 #2

    haruspex

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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.
     
  4. Oct 16, 2013 #3
    Wouldn't that mean that you need the answer to part b to solve part a? That is why I am confused I think
     
  5. Oct 16, 2013 #4

    haruspex

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    Yes, the questions are asked in reverse of the logical order.
     
  6. Oct 17, 2013 #5
    Here is my attempt 2. How does it look?
     

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  7. Oct 17, 2013 #6

    haruspex

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    Looks about right.
     
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