A 250 mm diameter circle is etched on a 400 mm x 400 mm x 12 mm piece of sheet metal. The elastic modulus is 190 GPa and Poisson's ratio is 0.3 for the material If stresses of 40 MPa and 75 MPa are applied in the x and y directions respectively, calculate the following: a) Change in sheet thickness, i.e. find At. Hint engineering and true strain are equal in the elastic regime. b) Sketch the shape of the circle after deformation on the figure below c) What is the elastic strain energy in the thickness direction only?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 250 mm diameter circle is etched on a 400 mm x 400 mm x 12 mm piece
of sheet metal. The elastic modulus is 190 GPa and Poisson's ratio is 0.3 for the material
If stresses of 40 MPa and 75 MPa are applied in the x and y directions respectively,
calculate the following:
a) Change in sheet thickness, i.e. find At. Hint engineering and true strain are equal in
the elastic regime.
b) Sketch the shape of the circle after deformation on the figure below
c) What is the elastic strain energy in the thickness direction only?
Transcribed Image Text:A 250 mm diameter circle is etched on a 400 mm x 400 mm x 12 mm piece of sheet metal. The elastic modulus is 190 GPa and Poisson's ratio is 0.3 for the material If stresses of 40 MPa and 75 MPa are applied in the x and y directions respectively, calculate the following: a) Change in sheet thickness, i.e. find At. Hint engineering and true strain are equal in the elastic regime. b) Sketch the shape of the circle after deformation on the figure below c) What is the elastic strain energy in the thickness direction only?
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