Q1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Ql. The bracket is made from steel with Estel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings: Ea= [X+Y] (10-) Es = -200(10-6) E: = -180(10-6) 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 - 5dh digit of matric 6h digit of matric number number 100 20 130 1 40 2. 160 2 60 3 190 80 4 220 4 100 5 250 5 120 6. 280 6 140 310 7. 160 340 180 370 200 田 (a) Prove that & = Ea and &= E. (b) Determine the shear strain, g and the normal strain, & and &y. Estimate the in-plane principal strains and the angle associated with the principal (c) strains, and d. Calculate the principal stress associated with the principal strains in (c).

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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take x= 310 y= 180

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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 Ql. The
bracket is made from steel with Estel = 120 GPa and poison ratio, v = 0.28. The following
readings are obtained for each gauge under loadings:
Ea= [X+Y] (10-)
Es = -200(10-6)
E: = -180(10-6)
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 -
5dh digit of matric
6h digit of matric
number
number
100
20
130
1
40
2.
160
2
60
3
190
80
4
220
4
100
5
250
5
120
6.
280
6
140
310
7.
160
340
180
370
200
田
(a)
Prove that & = Ea and &= E.
(b) Determine the shear strain, g and the normal strain, & and &y.
Estimate the in-plane principal strains and the angle associated with the principal
(c) strains, and
d. Calculate the principal stress associated with the principal strains in (c).
Transcribed Image Text:Q1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Ql. The bracket is made from steel with Estel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings: Ea= [X+Y] (10-) Es = -200(10-6) E: = -180(10-6) 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 - 5dh digit of matric 6h digit of matric number number 100 20 130 1 40 2. 160 2 60 3 190 80 4 220 4 100 5 250 5 120 6. 280 6 140 310 7. 160 340 180 370 200 田 (a) Prove that & = Ea and &= E. (b) Determine the shear strain, g and the normal strain, & and &y. Estimate the in-plane principal strains and the angle associated with the principal (c) strains, and d. Calculate the principal stress associated with the principal strains in (c).
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