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) E = -180(10-6) (а) Prove that E= Eaand &y= Ec. (b) Determine the shear strain, y and the normal strain, Ez and Ey. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, and
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) E = -180(10-6) (а) Prove that E= Eaand &y= Ec. (b) Determine the shear strain, y and the normal strain, Ez and Ey. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, and
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...
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![(c)
Figure Q1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cbd1ae6-fabf-490e-856b-d614a8404d88%2F1da013a3-96f4-4673-8ac6-063ebe9721db%2Ffrn8cz_processed.png&w=3840&q=75)
Transcribed Image Text:(c)
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= [ 100+20 ] (10-6)
Es = -200(10-6)
E = -180(10-6)
(а)
Prove that E= Eaand &y= Ec.
(b)
Determine the shear strain, y and the normal strain, Ez and Ey.
(c)
Estimate the in-plane principal strains and the angle associated with the principal
strains, and](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cbd1ae6-fabf-490e-856b-d614a8404d88%2F1da013a3-96f4-4673-8ac6-063ebe9721db%2Fbbwo0is_processed.png&w=3840&q=75)
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= [ 100+20 ] (10-6)
Es = -200(10-6)
E = -180(10-6)
(а)
Prove that E= Eaand &y= Ec.
(b)
Determine the shear strain, y and the normal strain, Ez and Ey.
(c)
Estimate the in-plane principal strains and the angle associated with the principal
strains, and
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9781337093347
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