Civil Engineering Reference
In-Depth Information
(c)
(d)
Figure 9.8
(
Continued
)
(c) Refined mesh of 101 elements. Node numbers are removed for
clarity. (d) An additional refined mesh with 192 elements.
stress concentration factor for this problem as computed by the mathematical theory of
elasticity is exactly 3. The same result is shown in many texts on machine design and
stress analysis [2].
9.5 AXISYMMETRIC STRESS ANALYSIS
The concept of axisymmetry is discussed in Chapter 6 in terms of general inter-
polation functions. Here, we specialize the axisymmetric concept to problems
of elastic stress analysis. To satisfy the conditions for axisymmetric stress, the
problem must be such that
1.
The solid body under stress must be a solid of revolution; by convention, the
axis of revolution is the
z
axis in a cylindrical coordinate system (
r
,
,
z
).
2.
The loading of the body is symmetric about the
z
axis.
