Page 199 - Finite Element Analysis with ANSYS Workbench

190 Chapter 10 Thermal Stress Analysis

F
The vector   for two- and three-dimensional ele-
0
ment types can be derived without difficulty. The finite element
equations for both heat transfer and solid stress problems suggest
that the process for solving thermal stress problem is straight
forward. Again, to avoid difficulty of transferring nodal tempera-
tures from the heat transfer analysis to the solid stress analysis, a
common finite element mesh should be used.
We will use ANSYS through the Workbench to carry
out the thermal stress analysis for both academic and application
problems as demonstrated in the following section.

10.3 Academic Example

10.3.1 Thermal Stress Analysis of Thin Plate
A rectangular plate with the dimensions of 32 ft and
thickness of 0.01 ft is made from aluminum material that has the
properties as shown in the figure. The plate is subjected to a roof-

like temperature distribution with the temperature of 245 F and

95 F along the X-direction at Y = 0 and 1 ft, respectively.

245 F

95 F
Y

1 '
X

95 F
1 '
1.5 ' 1.5 '


k  137 Btu ft-hr- F, E  1.5 10 lb ft 2
9
o
 0.29,    12.7 10  6 o F, T ref  80 F

o

Due to symmetry, we will use only the upper right
quarter of the plate as shown in the figure for the analysis. We will