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Unsure about angle inside Mohr's circle?

  1. Apr 5, 2015 #1
    Can someone explain why the angle inside the triangle inside Mohr's circle is θP2 rather than θP1 ? I understand everything else but just this small point is frustrating me.

    Thanks

    zzzpkp.png
     
  2. jcsd
  3. Apr 6, 2015 #2
    I don't see θP1 defined anywhere but I assume that the subscript 2 is used with θP2 to correspond with σ2.
     
  4. Apr 6, 2015 #3
    θP2 is the angle that corresponds to σ2 and θP1 is the angle that corresponds to σ1 but what I am confused about is why the angle inside the triangle is θP2 rather than θP1? How did they know which one it is?
     
  5. Apr 6, 2015 #4
    Point D corresponds with σ2 and point B corresponds with σ1. If σ2 is the minimum principle stress then by definition 2θP2 would be the angle that point A makes with the x-axis. And 2θP1 would make the angle with point E which would be 180° from point A in Figure 22.9.
     
    Last edited: Apr 6, 2015
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