The local stress state of an object can by inferred from measurements of strain and the material properties. By using a strain gauge rosette comprised of three strain gauges, the normal strain components (r, Єy) and the shear strain component Yxy can be found using the below set of simultaneous equations. €₁ = €₂ cos² 0₁ + Єy sin² 0₁ + Yzy sin 0₁ cos a €₁ = €r cos² 0 + Єy sin² 0 + Yxy sin of coo Єc = Ex Cos² Oc + Єy! sin² Oc + Yzy sin c cos c Solve for €, Ey, Yay When: • €₁ = 491 microstrain • €b = 575 microstrain • • • € = -511 microstrain a = 2 degrees 0 = 42.5 degrees • 0 = 92.2 degrees and upload your solution, including MATLAB code, to the assessment submission portal.
The local stress state of an object can by inferred from measurements of strain and the material properties. By using a strain gauge rosette comprised of three strain gauges, the normal strain components (r, Єy) and the shear strain component Yxy can be found using the below set of simultaneous equations. €₁ = €₂ cos² 0₁ + Єy sin² 0₁ + Yzy sin 0₁ cos a €₁ = €r cos² 0 + Єy sin² 0 + Yxy sin of coo Єc = Ex Cos² Oc + Єy! sin² Oc + Yzy sin c cos c Solve for €, Ey, Yay When: • €₁ = 491 microstrain • €b = 575 microstrain • • • € = -511 microstrain a = 2 degrees 0 = 42.5 degrees • 0 = 92.2 degrees and upload your solution, including MATLAB code, to the assessment submission portal.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:The local stress state of an object can by inferred from measurements of strain and the
material properties. By using a strain gauge rosette comprised of three strain gauges, the
normal strain components (r, Єy) and the shear strain component Yxy can be found using
the below set of simultaneous equations.
€₁ = €₂ cos² 0₁ + Єy sin² 0₁ + Yzy sin 0₁ cos a
€₁ = €r cos² 0 + Єy sin² 0 + Yxy sin of coo
Єc = Ex Cos² Oc + Єy! sin² Oc + Yzy sin c cos c
Solve for €, Ey, Yay When:
• €₁ = 491 microstrain
• €b = 575 microstrain
•
•
•
€ = -511 microstrain
a = 2 degrees
0 = 42.5 degrees
•
0 = 92.2 degrees
and upload your solution, including MATLAB code, to the assessment submission portal.
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