mohr s circle
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Mohr’s Circle
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Mohr’s circle
Mohr’s circle is a geometric representation of the 2-D transformation ofstresses and is very useful to perform quick and efficient estimations,
checks of more extensive work, and other such uses.
• his circle is usually referred to as Mohr’s circle, after the German civil
engineer !tto Mohr "#$%&-#'#$(. )e developed the graphical techniquefor drawing the circle in #$$2.
• he construction of Mohr’s circle is one of the few graphical techniques
still used in engineering.
• *t provides a simple and clear picture of an otherwise complicated analysis.
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he principal stresses, +* and +** , are defined y the points and "along
the hori/ontal axis where +#2 0 1(. he rotation angle to the principal axis is
p which is #32 the angle from the line 45 to the hori/ontal line .
he maximum shear stress is defined y the points ) and )’ which are the
endpoints of the vertical line. he line is orthogonal to the principal stress line
and thus the maximum shear stress acts along a plane 6&7 "0 '1732( from the
principal stress system.
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