Answered: [Elastic deformation after plastic…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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[Elastic deformation after plastic deformation] A cylindrical specimen of a brass alloy has a diameter of d0 and a
length of l. The tensile stress–strain behavior for this alloy is shown below.
(1) The specimen is subjected to a tensile force of F1; then, the force is released. Compute the final length of the
specimen at this time.
(2) The specimen is subjected to a tensile force of F2; then, the force is released. Compute the final length of the
specimen at this time.
Use d0 = 7.0 mm; l = 90 mm; F1 = 5000N; F2 = 14200N

500
Stress (MPa)
400
369
300
200
100
Tensile strength
450 MPa (65,000 psi)
200
MPa 40
150
100
10.10
I
0.08
10³ psi
30
20
10
0
0 0.0017
0.20
Strain
Yield strength
250 MPa (36,000 psi)
0.005
0.30
70
60
50
40
30
20
10
0
0.40
Stress (10³ psi)

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