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Thread: Stress on a plane

  1. #1
    Associate Engineer
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    Stress on a plane

    Hi all, for some reason I cannot get this to work out. I need to solve for shear and normal stresses on an arbitrarily oriented plane in 3-dimensions given a symmetric stress tensor and the normal vector to the plane. So far as I can figure it is easiest to take the dot product of each principal stress vector and the normal vector, but then how do I resolve that into shear and normal stress on the plane?

    Thanks in advance for any advice.

  2. #2
    Technical Fellow Kelly_Bramble's Avatar
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    Welcome to EE!

    You need to post a free body diagram...

  3. #3
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    Do I really need to post a free body diagram, or is that a way of hazing me into the forum? Haha, but really, I think I have this figured out just doing stress transformation. I still feel like I should be able to do it using the normal vector to the plane and taking the sum of the dot products....

  4. #4
    Technical Fellow Kelly_Bramble's Avatar
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    Quote Originally Posted by Edogg View Post
    Do I really need to post a free body diagram
    Oh course you do... While you're at it post the calculations you have done so far..

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