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Chapter 13: Strain Transformations
M13.6: Principal Stresses from Rosette Data
Principal Stresses
State the Problem
Plan the Solution
Table of Contents
Strain Components
Stress Components
Principal Stresses
Alternate Approach - Principal Strains
Alternate Approach - Principal Stresses
Finished
Try One
scene
6
of
10
To determine the principal stresses, use the following equation:
σ
p
1
,
σ
p
2
=
σ
x
+
σ
y
2
±
(
σ
x
-
σ
y
2
)
2
+
τ
xy
2
=
51
.
41
+
(
-
7
.
53
)
2
±
(
51
.
41
-
(
-
7
.
53
)
2
)
2
+
(
51
.
05
)
2
=
80
.
89
MPa
,
-
37
.
01
MPa