Answered: A cylindrical specimen of a brass alloy…

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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A cylindrical specimen of a brass alloy having a length of 104 mm (4.094 in.) must elongate only 5.20 mm (0.2047 in.) when a tensile load of 95000 N (21360 lb_f) is applied. Under these circumstances what must be the radius of the specimen? Consider this brass alloy to have the stress-strain behavior shown in the Animated Figure 7.12.

Tensile strength
450 MPa (65,000 psi)
Strain = 0
%3D
Stress = 0 MPA
Stress = 0 psi
%3D
500
%3D
70
Strain = 0
Stress = 0 MPA
Stress = 0 psi
%3D
60
%3D
400
50
103 psi
40
A
MPa
Yield strength
250 MPa (36,000 psi)
40
300
200
30
200
30
100
10
100
10
0.005
0.10
0.20
0.30
0.40
Strain
Stress (MPa)
20
20
Stress (103 psi)

Expert Solution

Step 1

Given data:

$L_{0} = 104 m m F = 95000 N ∆ L = 5.2 m m$

Need to determine the radius of the specimen.

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