The stress field in a loaded aluminum plate was determined as [-2x² + 3y² 3x + y+ 5] O = F[3x + y+5 -2y? 1) Determine the strains in the plate (use Hooke's law) 2) Determine the maximum shear strain at x = 0.5, y = 0.5 3) Determine the principal strains at x = 0.5, y = 0.5 4) A circle of 10 mm diameter was sketched on the plate before it was loaded. The center of the circle is at x = 0,y = 0. Can you sketch the circle after the loaded was applied. Use the typical elastic values of aluminum.
The stress field in a loaded aluminum plate was determined as [-2x² + 3y² 3x + y+ 5] O = F[3x + y+5 -2y? 1) Determine the strains in the plate (use Hooke's law) 2) Determine the maximum shear strain at x = 0.5, y = 0.5 3) Determine the principal strains at x = 0.5, y = 0.5 4) A circle of 10 mm diameter was sketched on the plate before it was loaded. The center of the circle is at x = 0,y = 0. Can you sketch the circle after the loaded was applied. Use the typical elastic values of aluminum.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The stress field in a loaded aluminum plate was determined as
[-2x² + 3y² 3x + y + 5]
O =
3x + y + 5
-2y?
1) Determine the strains in the plate (use Hooke's law)
2) Determine the maximum shear strain at x = 0.5, y = 0.5
3) Determine the principal strains at x = 0.5, y = 0.5
4) A circle of 10 mm diameter was sketched on the plate before it was loaded. The center of
the circle is at x = 0,y = 0. Can you sketch the circle after the loaded was applied.
Use the typical elastic values of aluminum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc84f9064-a36f-4a8e-8b23-ed9d26a34575%2F466aa67e-18fc-4907-a6d0-bcf3d62f7d33%2F6jf6pv6_processed.png&w=3840&q=75)
Transcribed Image Text:The stress field in a loaded aluminum plate was determined as
[-2x² + 3y² 3x + y + 5]
O =
3x + y + 5
-2y?
1) Determine the strains in the plate (use Hooke's law)
2) Determine the maximum shear strain at x = 0.5, y = 0.5
3) Determine the principal strains at x = 0.5, y = 0.5
4) A circle of 10 mm diameter was sketched on the plate before it was loaded. The center of
the circle is at x = 0,y = 0. Can you sketch the circle after the loaded was applied.
Use the typical elastic values of aluminum.
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