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In a Nut Shell: Plot Mohr’s Circle to determine principal
stresses, maximum shearing
stresses, and orientation of the element showing these stresses.
Points to Remember:
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Identify
“faces” on the element. i.e. “face A”,
“face B” |
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Points
on Mohr’s Circle correspond to “faces” on the element |
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+ normal stresses indicate tension and
- normal stresses indicate compression |
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+ shearing stresses are counterclockwise
(CCW) and – shearing stresses are CW |
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Rotation
of 2θ on Mohr’s Circle yields a rotation
of θ on the element both in the same
direction. |
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Faces
on which there is no shear stress are the principal faces and give the
maximum and minimum normal stresses (the principal stresses). |
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The
radius of Mohr’s Circle gives the maximum shearing stress. |
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Note: A convenient check on your
construction is: σx
+ σy =
σ1 + σ2
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σ1
and σ2 are the principal stresses.
Click
here for construction of Mohr’s Circle.
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