Problem 1 (Page 343). Topic: Strain Ellipse Using the circle (radius = r =2 cm) and ellipse (long axis = 3 cm, short axis = 1.5 cm) of Figure 12.32 (shown below!), graphically determine the stretch S and the angle of shear (y) associated with a radius making an angle of o'= +30° (ccw) with the major axis (in deformed state). Check your result with a Mohr circle. 4=30

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Problem 1 (Page 343). Topic: Strain Ellipse
Using the circle (radius = r =2 cm) and ellipse (long axis = 3 cm, short axis = 1.5 cm) of Figure 12.32 (shown below!),
graphically determine the stretch S and the angle of shear (w) associated with a radius making an angle of o'= +30°
(ccw) with the major axis (in deformed state).
Check your result with a Mohr circle.
=30
Figure 12.32
2
3
4
6
7
8
9.
10
1
2
4
/2
1/2
2
MM CM
INCH
Transcribed Image Text:Problem 1 (Page 343). Topic: Strain Ellipse Using the circle (radius = r =2 cm) and ellipse (long axis = 3 cm, short axis = 1.5 cm) of Figure 12.32 (shown below!), graphically determine the stretch S and the angle of shear (w) associated with a radius making an angle of o'= +30° (ccw) with the major axis (in deformed state). Check your result with a Mohr circle. =30 Figure 12.32 2 3 4 6 7 8 9. 10 1 2 4 /2 1/2 2 MM CM INCH
What is the stretch (S), along r'? Note: s = r'/r
0.08
1.08
-0.86
O 1.166
0.58
Transcribed Image Text:What is the stretch (S), along r'? Note: s = r'/r 0.08 1.08 -0.86 O 1.166 0.58
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