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Substituting principal stress angle into the plane stress transformation equations

  1. Apr 14, 2015 #1
    ImageUploadedByPhysics Forums1429013823.174463.jpg ImageUploadedByPhysics Forums1429013832.818850.jpg ImageUploadedByPhysics Forums1429013844.436363.jpg ImageUploadedByPhysics Forums1429013854.254601.jpg

    When one substitutes the angle -23.7 into the plane stress transformation equation for SigmaX' you indeed get -46.42 MPa (as shown in the images). However, if you substitute this same angle into the plane stress transformation equation for SigmaY', you yield the other principal stress of 116.4 MPa. My question is how can you conclude the angle -23.7 corresponds to SigmaX' rather than SigmaY' ?
     
  2. jcsd
  3. Apr 14, 2015 #2
    The angle θ is the angle that you have to rotate the x axis to get the x' axis.

    Chet
     
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