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Shear Stress Problem

  1. Apr 22, 2014 #1

    M_J

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

    The force on a knee cartilage can cause a large force to deform it. The cartilage area is 11cm^2 and the shear modulus is 12MPa. Max force at impact is 904N at an angle of 12 degrees with the cartilage, through what angle (in degrees) will the cartilage be deformed?

    2. Relevant equations

    http://session.masteringphysics.com/problemAsset/1026529/6/yg.11.35.jpg

    Shear modulus = Stress/Strain

    Stress = F(perpendicular)/A

    Strain = x/h

    3. The attempt at a solution

    Stress = 904sin(12)/11x10^-4

    Strain = 0.0142

    h=11x10-2 ??

    angle = tan^-1(0.0142/11x10-2) = 7.4

    This method appears a little wrong, is someone able to point out where I have gone wrong and how I should have got to the answer? Thanks! :-)
     
  2. jcsd
  3. Apr 22, 2014 #2

    SteamKing

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    Staff Emeritus
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    Homework Helper

    Your calculations are also units-free, which makes them even more difficult to follow.
     
  4. Apr 22, 2014 #3

    M_J

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    All units are SI, stress has units of Pa, strain is a ratio so has no units and h is measured in metres. My angle is in degrees.

    I would be grateful if you were now able to help me with my answer! :-)
     
  5. Apr 22, 2014 #4
    Your angle calculation is incorrect. You already have the shear strain, so why are you dividing by the area?

    Chet
     
  6. Apr 22, 2014 #5

    M_J

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    Thanks, can you explain what I do need to do then please?
     
  7. Apr 22, 2014 #6

    M_J

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    Don't worry, I have done it now - thanks anyway!
     
  8. Apr 22, 2014 #7

    M_J

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    Thanks!
     
  9. Apr 27, 2014 #8
    what exactly did you do to change your original setup? i can't figure this one out
     
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