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Axial deflection problem

  1. Dec 7, 2014 #1
    1. The problem statement, all variables and given/known data
    I was able to come up with an answer but I am not sure if its right.
    I get the value of 3.668 in for diameter and my friend gets 2.117 in.
    I get that value because I subtracted 1500 lb from 6000lb to get my force while he used 6000lb as his Force
    Who is right and why?
    Thank you

    IMG_20141207_123906.jpg

    2. Relevant equations

    S= F L / A E
    3. The attempt at a solution
    First I calculated the deflection in SAB and I got 0.00189 in.
    then I calculate SBS
    I rearrange the formula to solve for A
    For my Force I take 1500lb and subtract 6000
    At the end I get a Diameter of 3.668 in.
     
  2. jcsd
  3. Dec 7, 2014 #2

    SteamKing

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    My calculations don't agree with either of you. In order to analyze this problem properly, you should draw free body diagrams of each rod.

    According to your calculations, the diameter of rod BC should be greater than the diameter of rod AB, which is certainly not implied by the figure illustrating the problem.
     
  4. Dec 7, 2014 #3
    this is how I drew my FBD and thats how I got my Forces
    output.jpg
     
  5. Dec 7, 2014 #4
    Is the answer 2.445 inches?
     
  6. Dec 7, 2014 #5

    SteamKing

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    It's also important to know if the axial forces are tensile or compressive.
     
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