is positioned at point A for strain measurement. The orientation of the strain rosette is shown in Fig. 1b. The material properties are given as E = 200 GPa, G = 77 GPa and v = 0.3. If P = 10 kN and T= 250 Nm, find the following: i. The state of stress at point A and sketch the stress element. ii. The principal stress at point A and sketch the stress element. iii. The principal strain at point A and sketch the strain element. iv. The values of each strain gauge (ɛa, &b and &c). V. Name one change that can be done to lower the strain value at point 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 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...
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The structure shown in Fig. la is subjected to loading P and T. A set of strain rosette
is positioned at point A for strain measurement. The orientation of the strain rosette
is shown in Fig. 1b. The material properties are given as E = 200 GPa, G = 77 GPa
and v = 0.3.
If P = 10 kN and T= 250 Nm, find the following:
i.
The state of stress at point A and sketch the stress element.
ii.
The principal stress at point A and sketch the stress element.
iii.
The principal strain at point A and sketch the strain element.
iv.
The values of each strain gauge (Ea, Eb and ɛc).
V.
Name one change that can be done to lower the strain value at
point A.
50mm
75mm
120
120°
T
Ø 50mm
Ø35mm
Fig. la
Fig. 1b
-----
Transcribed Image Text:The structure shown in Fig. la is subjected to loading P and T. A set of strain rosette is positioned at point A for strain measurement. The orientation of the strain rosette is shown in Fig. 1b. The material properties are given as E = 200 GPa, G = 77 GPa and v = 0.3. If P = 10 kN and T= 250 Nm, find the following: i. The state of stress at point A and sketch the stress element. ii. The principal stress at point A and sketch the stress element. iii. The principal strain at point A and sketch the strain element. iv. The values of each strain gauge (Ea, Eb and ɛc). V. Name one change that can be done to lower the strain value at point A. 50mm 75mm 120 120° T Ø 50mm Ø35mm Fig. la Fig. 1b -----
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