A = rab Problem 1. An ellipse with semi-major axis a = 150 mm and semi-minor axis b = 100 mm is etched on a brass plate. The plate has dimensions 400 x 400 x 20 mm. Uniformly distributed normal stresses ox = -25 MPa and o, = 50 Mpa are applied to the plate. The Young's modulus E = 100 GPa, and Poisson's ratio v = 0.34. (Note: The ellipse remains an ellipse after stretching, but with different semi-major and semi-minor axes.) Find: b a) The change in the area of the ellipse. Oy b) The in the thickness of the plate. c) The change AV in the volume of the plate. Ox a d) The strain energy, U, stored in the plate. Oy

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A =
Tab
Problem 1. An ellipse with semi-major axis a = 150 mm and semi-minor axis
b = 100 mm is etched on a brass plate. The plate has dimensions 400 x 400 ×
20 mm. Uniformly distributed normal stresses ox = -25 MPa and o, = 50 Mpa
are applied to the plate. The Young's modulus E = 100 GPa, and Poisson's ratio
v = 0.34. (Note: The ellipse remains an ellipse after stretching, but with
different semi-major and semi-minor axes.) Find:
a)
The change in the area of the ellipse.
Oy
The in the thickness of the plate.
b)
c)
The change AV in the volume of the plate.
Ox
a.
-b-
Ox
a
d)
The strain energy, U, stored in the plate.
Ty
Transcribed Image Text:A = Tab Problem 1. An ellipse with semi-major axis a = 150 mm and semi-minor axis b = 100 mm is etched on a brass plate. The plate has dimensions 400 x 400 × 20 mm. Uniformly distributed normal stresses ox = -25 MPa and o, = 50 Mpa are applied to the plate. The Young's modulus E = 100 GPa, and Poisson's ratio v = 0.34. (Note: The ellipse remains an ellipse after stretching, but with different semi-major and semi-minor axes.) Find: a) The change in the area of the ellipse. Oy The in the thickness of the plate. b) c) The change AV in the volume of the plate. Ox a. -b- Ox a d) The strain energy, U, stored in the plate. Ty
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