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66 Chapter 4 Plan Stress Analysis
4.3 Academic Example
4.3.1 Plate with Circular Cut-out
A rectangular plate with dimensions of 1.4 1m is
shown in the figure. The plate has a circular cut-out with radius of
.2 m at its center. The plate is made from a material that has the
Young’s modulus of 710 N m 10 2 and Poisson’s ratio of 0.3.
The plate is subjected to the uniform loadings of 710 N m 7 2
along the left and right edges.
y
710 N/m 2
7
0
1m x
.2 m
1.4 m
Since the problem has its solution symmetry, the upper
right quarter of the plate can be used for analysis. Model of the
upper right quarter is shown in the figure with symmetrical
boundary condition along the left and bottom edges.
y
710 N/m 2
7
0
.5 m
.2 m
x
.7 m
Steps for analyzing this problem by employing the
ANSYS Workbench are as follows.