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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 100E
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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.
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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