4 of 4 (b) The 45° strain rosette is mounted on a steel shaft. The following readings are obtained from each gauge are shown in Figure Q2(b). i. ii. Ea = 800 x 106, & = 520 x 106 and & = -450 x 10-6 , Find the strains values in the x-y directions and draw the strain element diagram of that direction. Find the principal strain values and draw the strain element diagram of that direction. iii. Find the maximum shear strain value and draw the strain element diagram of that direction. iv. If the properties of the structure have E = 208 GPa and v = 0.28, find the magnitude of the principal stresses. b 45° 45° Figure Q2(b)[ [8 marks]

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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4 of 4
(b) The 45° strain rosette is mounted on a steel shaft. The following readings are obtained
from each gauge are shown in Figure Q2(b).
i.
ii.
Ea = 800 x 106, & = 520 x 106 and & = -450 x 10-6
,
Find the strains values in the x-y directions and draw the strain element diagram of
that direction.
Find the principal strain values and draw the strain element diagram of that direction.
iii. Find the maximum shear strain value and draw the strain element diagram of that
direction.
iv.
If the properties of the structure have E = 208 GPa and v = 0.28, find the magnitude
of the principal stresses.
b
45°
45°
Figure Q2(b)[
[8 marks]
Transcribed Image Text:4 of 4 (b) The 45° strain rosette is mounted on a steel shaft. The following readings are obtained from each gauge are shown in Figure Q2(b). i. ii. Ea = 800 x 106, & = 520 x 106 and & = -450 x 10-6 , Find the strains values in the x-y directions and draw the strain element diagram of that direction. Find the principal strain values and draw the strain element diagram of that direction. iii. Find the maximum shear strain value and draw the strain element diagram of that direction. iv. If the properties of the structure have E = 208 GPa and v = 0.28, find the magnitude of the principal stresses. b 45° 45° Figure Q2(b)[ [8 marks]
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