The 45° strain rosette is mounted on a surface of the bracket . 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: Ɛa = [ X+Y ] (10-6) Ɛb = -200(10-6) Ɛc = -180(10-6) x=100,  y=100 (a)  Estimate the in-plane principal strains and the angle associated with the principal strains, and (b) Calculate the principal stress associated with the principal strains in (a).

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 7.7.20P: A strain rosette (see figure) mounted on the surface of an automobile frame gives the following...
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The 45° strain rosette is mounted on a surface of the bracket . 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:
Ɛa = [ X+Y ] (10-6)
Ɛb = -200(10-6)
Ɛc = -180(10-6)

x=100,  y=100

(a)  Estimate the in-plane principal strains and the angle associated with the principal strains, and

(b) Calculate the principal stress associated with the principal strains in (a).

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