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
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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 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).
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 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).
(c)
Figure Q1
Transcribed Image Text:(c) Figure Q1
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