1The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Ql. Thebracket is made from steel with Eseel = 120 GPa and poison ratio, v = 0.28. The followingreadings are obtained for each gauge under loadings:Ea=[X+Y] (10*)Es = -200(10-6)E= -180(106)Important note :X=100Y=60(a) Prove that &=Ea and &= E,.(b) Determine the shear strain, y and the normal strain, &, and E,.(c)Estimate the in-plane principal strains and the angle associated with the principalstrains, and Figure 1

Esteel=120 GPaμ=.28 εa=100+60×10-6 εb=-200×10-6εc=-180×10-6 θa=0° ,θb=45°,θc=90°

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=[X+Y] (10*) Es = -200(10) E= -180(10) Important note : X=100 Y=60 (a) Prove that &=Ea and &,= Ec. (b) Determine the shear strain, ", and the normal strain, &, and E,. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, and

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=[X+Y] (10*) Es = -200(10) E= -180(10) Important note : X=100 Y=60 (a) Prove that &=Ea and &,= Ec. (b) Determine the shear strain, ", and the normal strain, &, and E,. (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 7.7.20P: A strain rosette (see figure) mounted on the surface of an automobile frame gives the following...

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