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Work Hardening percentage calculation

  1. Jun 2, 2015 #1
    Plate previous cold-worked 20% is 50 mm thick. It is then cold-worked further to 33 mm. What is the total percent cold work?

    I know %CW= (Ao − Ad/ Ao) x 100

    I know the answer should be 47.2%, but I don't get that. What are the first steps I need to take?
     
  2. jcsd
  3. Jun 2, 2015 #2

    RUber

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    Start with what you know. I assume Ao is initial thickness and Ad is thickness after work. If not, please provide more detail on what these variables are.
    .20 = (Ao -Ad1/Ao) --- Are you sure this shouldn't be (Ao-Ad)/Ao?
    Solve that to find Ao.
    Then plug in to find your percentage::
    x = (Ao-Ad2/Ao). Or maybe (Ao-Ad2)/Ao.
     
  4. Jun 2, 2015 #3

    RUber

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    I worked it out, and yes... it is clear that using the assumptions I made above, you need to use ##.20 = \frac{Ao -50}{Ao}## to find Ao. And then apply the same formula to find ##x = \frac{Ao -33}{Ao}\times100\%##.
    Please be careful with your parentheses.
     
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