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Deformation of a dicomponent rod under tension

  • Thread starter Woopydalan
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  • #1
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Homework Statement





Homework Equations





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
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.
 
  • #3
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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
haruspex
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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.
 
  • #5
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Here is my attempt 2. How does it look?
 

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  • #6
haruspex
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Looks about right.
 

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