Q1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Q1. The bracket is made from steel with Esteel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings: Ea= [X+Y ] (106) Es= -200(10“) E=-180(106) Table 1 Use 5th digit and 6th digit of your matrix number to get value of [X] and [Y] as an example below: Example: If your matrix number is CD180147; Thus, the value of X=220 and Y=160 : 5th digit of matric number 6th digit of matric X Y number 100 20 1 130 1 40 60 2 160 2 3 190 3 80 4 220 4 100 5 250 120 280 140 7 310 7 160 8 340 8 180 370 9. 200 (a) Prove that Ex= Ea and Ey= Ec. (b) Determine the shear strain, y and the normal strain, Ex and Ey.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.20P: A strain rosette (see figure) mounted on the surface of an automobile frame gives the following...
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use this matrix num (AD200153)

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Figure Q1
Transcribed Image Text:Figure Q1
Q1
The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Q1. The
bracket is made from steel with Esteel = 120 GPa and poison ratio, v = 0.28. The following
readings are obtained for each gauge under loadings:
Ea= [X+Y ] (10“)
Es= -200(10“)
Ec= -180(10“)
Table 1
Use 5th digit and 6th digit of your matrix number to get value of [X] and [Y] as an example
below:
Example: If your matrix number is CD180147; Thus, the value of X=220 and Y=160 :
5th digit of matric
6th digit of matric
Y
number
number
100
20
1
130
1
40
160
60
3
4
190
3
80
220
4
100
5
250
5
120
6
280
6.
140
7
310
7
160
8
340
8
180
370
9.
200
(a)
Prove that E= Ea and Ɛy= Ec.
%3D
(b)
Determine the shear strain, ?y and the normal strain, E, and Ey.
Transcribed Image Text:Q1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Q1. The bracket is made from steel with Esteel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings: Ea= [X+Y ] (10“) Es= -200(10“) Ec= -180(10“) Table 1 Use 5th digit and 6th digit of your matrix number to get value of [X] and [Y] as an example below: Example: If your matrix number is CD180147; Thus, the value of X=220 and Y=160 : 5th digit of matric 6th digit of matric Y number number 100 20 1 130 1 40 160 60 3 4 190 3 80 220 4 100 5 250 5 120 6 280 6. 140 7 310 7 160 8 340 8 180 370 9. 200 (a) Prove that E= Ea and Ɛy= Ec. %3D (b) Determine the shear strain, ?y and the normal strain, E, and Ey.
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