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64
Finite Element Analysis and Design
28. For a
plane stress
problem, the strain components in the
x
–
y
plane at a point
P
are
computed as
22
.125
10 ,
.25
10
xx
yy
xy
(a)
Compute the state of stress at this point if Young‟s modulus
E
= 2
10
11
Pa and
Poisson‟s ratio
= 0.3.
(b)
What is the normal strain in the
z
–
direction?
(c)
Compute the normal strain in the direction of
n
= {1, 1, 1}
T
.
Solution:
(a)
Compute the state of stress at this point if Young‟s modulus
E
= 2
10
11
Pa and
Poisson‟s ratio
= 0.3
6
2
1
0
357
1
0
357
10 Pa
1
0
0 (1
) / 2
385
0 (Plane Stress)
xx
xx
yy
yy
xy
xy
zz
xz
yz
E
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This note was uploaded on 08/22/2011 for the course EML 4500 taught by Professor Staff during the Fall '08 term at University of Florida.
 Fall '08
 Staff
 Finite Element Analysis, Strain, Stress

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