Transformation of
Stresses/Mohr’s Circle
In a Nut Shell: In-plane (xy-plane)
stresses at an arbitrary point in a structure consist of
normal stresses, σx and σy, in both the x and y-directions, as well as
shearing stresses τxy and τyx. 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. 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 τxy
= τyx. Click
here to continue with discussion. |
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