(a) Figure Q1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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(b)
(a)
Figure Q1
Transcribed Image Text:(b) (a) Figure Q1
Q1 The 45° strain rosette is mounted on a steel robotic am as shown in Figure Ql. The robotic
arm is made from steel with Esel = 200 GRA and poison ratio, v= 0.3. The following readings
are obtained for each gauge:
E=[Y+Z](10“)
E = -250(10-)
E= -200(10)
Here the value of Y and Z depends on the 5th digit and 6th digit of your matric number as
shown in Table 1. For example, if your matrix number is DD 070112 gives the value of Y=300
and Z-60:
Table 1
5 digit of matric
6* digit of matric
number
number
250
300
350
30
2
60
3
400
3
90
4
450
120
5
500
150
6.
550
180
7
600
7
210
650
700
240
270
(a) Prove that &= E, and E, = E.
Determine the shear strain, yand the normal strain, E, and &.
(b)
Estimate the in-plane principal strains and the angle associated with the principal
strains, and
(c)
Calculate the principal stress associated with the prihcipal strains in (c).
(d)
Transcribed Image Text:Q1 The 45° strain rosette is mounted on a steel robotic am as shown in Figure Ql. The robotic arm is made from steel with Esel = 200 GRA and poison ratio, v= 0.3. The following readings are obtained for each gauge: E=[Y+Z](10“) E = -250(10-) E= -200(10) Here the value of Y and Z depends on the 5th digit and 6th digit of your matric number as shown in Table 1. For example, if your matrix number is DD 070112 gives the value of Y=300 and Z-60: Table 1 5 digit of matric 6* digit of matric number number 250 300 350 30 2 60 3 400 3 90 4 450 120 5 500 150 6. 550 180 7 600 7 210 650 700 240 270 (a) Prove that &= E, and E, = E. Determine the shear strain, yand the normal strain, E, and &. (b) Estimate the in-plane principal strains and the angle associated with the principal strains, and (c) Calculate the principal stress associated with the prihcipal strains in (c). (d)
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