2. Mohr's circle, named after Christian Otto
Mohr, is a two-dimensional graphical
representation of the transformation law for
the Cauchy stress tensor.
6. ~ where all elements of
the body are subjected
to normal and shear
stresses acting along a
plane (x-y); none
perpendicular to the
plane (z-direction)
z = 0; xz = 0; zy = 0
12. Squaring and adding above two equations
gives us with an equation of a circle whose
center is at
of radius
0,
2
xy
22
2
'
2
' Rxy
yx
x
2
2
2
xy
xy
13.
14. A point on the Mohr circle represents the x’
and xy’ values on a specific plane.
is measured counterclockwise from the
original x-axis.
Same sign convention for stresses as before.
i.e., on positive planes, pointing positive directions
positive, and ….
15. When we rotate the
plane by 180°, we go
a full round (i.e.,
360°) on the Mohr
circle. Therefore….…
. …..when we rotate
the plane by °, we go
2° on the Mohr
circle.
2
2
16. Mohr circle represents the state of stress at a
point; thus different Mohr circles for
different points in the body
Mohr circle is a simple but powerful
technique
Get the sign convention right
Quit Continue
