Small 3rd Mohr Circle in 3-D Stress Problem Analysis

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armin11
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In a 3-D stress problem when we draw the 1st & 2nd & 3rd mohr circle for each plane what is a case or situation in which the 3rd mohr circle is smaller than the 1st & 2nd ones?
 
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Sure. Consider

[tex]\sigma=\left[\begin{array}{ccc}50&0&0\\&0&0\\&&50\end{array}\right]\,\mathrm{MPa.}[/tex]

The x-y and y-z Mohr's circles are equivalent, but the x-z Mohr's circle is smaller: it's just a point at 50. Does this make sense?