Stress analysis 403
If the global stresses are
what are the local stresses?
TSY, oy, 0.
Ox’ 0 Ty’x’ 0 0,. “1
If we think in terms of a small cubic element rotating about the z-axis,
Calculating of, o,, and qY, is more difficult and is done like this:
we can see that q = of.
The rotated element is positioned
over the original element such that
the vertical sides (remember it is a
cube) A and B touch two of the
original faces. If we now cut off the
prism OAB from the original ele-
ment and examine the resulting
free body diagram resolving stress
components onto resolved areas:
X
As usual, write down the equations of static equilibrium:
-Y