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**Key Concept: **Mohr's Circle provides a graphical method to
find the normal and shear
stresses
on the faces of an element. Of
interest are the maximum value of normal stress, the minimum value of
normal stress, and the maximum value of shear stress at any given
point.
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**In a Nut Shell:** In-plane (xy-plane)
stresses at an arbitrary point in a structure consist
of
normal stresses, σ_{x} and σ_{y}_{, } in both the x and y-directions, as well as
shearing stresses
τ_{xy} and τ_{yx}. The values of these stresses at an
arbitrary point change depending on direction. i.e. The values from a single element
strain gage placed at a point on a structure will give different values
depending on the orientation of the gage.
**Sign Convention: **Consider a rectangular element taken from a
structure as shown in
the
figure below. The element depicts the
positive normal and shearing stresses on the
element.
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**Terminology:**
σ _{x}
=
normal component of stress in x-direction
σ _{y} = normal component of stress in y-direction
τ _{xy} = shearing stress on the x-face in the y-direction
τ _{yx} = shearing stress on the y-face in the
x-direction
From
equilibrium it can be shown that τ_{xy}
= τ_{yx}.
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here to continue with discussion.
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