A 45° strain rosette was placed on the surface of a critical point on anengineering part. The following were measured:Ea= 400 μCли45°mmmm45°лиGauge a was aligned with the x-axis.a. Determine Ex, Ey, Yxyb. Using Mohr's Circle, find the principal strains and the maximum shear strain at that point, and find theorientation of the principal planes from the given x-y axes.yли& = 450 μஆbammXmm& c= 500 μy+осmmmmeb10₂X

A 45o strain rosetteεa=400 μ mm/mmεb=450 μ mm/mmεc=500 μ mm/mm

Answered: A 45° strain rosette was placed on the…

A 45° strain rosette was placed on the surface of a critical point on an engineering part. The following were measured: Ea = 400 μ. mm mm mm &₁ = 450 μ- mm & = 500 μ mm mm

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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Question

A 45° strain rosette was placed on the surface of a critical point on an
engineering part. The following were measured:
Ea
= 400 μ
C
ли
45°
mm
mm
45°
ли
Gauge a was aligned with the x-axis.
a. Determine Ex, Ey, Yxy
b. Using Mohr's Circle, find the principal strains and the maximum shear strain at that point, and find the
orientation of the principal planes from the given x-y axes.
y
ли
& = 450 μ
ஆ
b
a
mm
X
mm
& c
= 500 μ
y+
ос
mm
mm
eb
10₂
X

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Step 1: Given data

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Step 2: to calculate normal strains in x and y directions and shear strain xy

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Step 3: the principal strains and the maximum shear strains

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Step 4: The orientation of principal strains

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