Q1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Q1. Thebracket is made from steel with Egteel = 120 GPa and poison ratio, v = 0.28. The followingreadings are obtained for each gauge under loadings:Ea= [ 100+20 ](10-6)Es = -200(10-6)E = -180(10-6)|(a)Prove that E= Eaand &y= Ec.(b)Determine the shear strain, V, and the normal strain, & and Ey.(c)Estimate the in-plane principal strains and the angle associated with the principalstrains, and(d)Calculate the principal stress associated with the principal strains in (c). (c)Figure Q1

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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=[ 100+20 ](10-6) Es = -200(10-6) Ec = -180(10-6) (a) Prove that E= Eqand Ey= Ec. (b) Determine the shear strain, 7g, and the normal strain, Ex and Ey. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, and (d) Calculate the principal stress associated with the principal strains in (c).

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=[ 100+20 ](10-6) Es = -200(10-6) Ec = -180(10-6) (a) Prove that E= Eqand Ey= Ec. (b) Determine the shear strain, 7g, and the normal strain, Ex and Ey. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, and (d) Calculate the principal stress associated with the principal strains in (c).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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 Egteel = 120 GPa and poison ratio, v = 0.28. The following
readings are obtained for each gauge under loadings:
Ea= [ 100+20 ](10-6)
Es = -200(10-6)
E = -180(10-6)
|
(a)
Prove that E= Eaand &y= Ec.
(b)
Determine the shear strain, V, and the normal strain, & and Ey.
(c)
Estimate the in-plane principal strains and the angle associated with the principal
strains, and
(d)
Calculate the principal stress associated with the principal strains in (c).

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