Q1/ Consider the brass alloy for which the stress-strain behavior is shown in the figure below. A cylindrical specimen of this material 10.0 mm in diameter and 101.6 mm long is pulled in tension with a force of 10,000 N. If it is known that this alloy has a value for Poisson's ratio of 0.35, compute (a) the specimen elongation, and (b) the reduction in specimen diameter. 500 70 Tensile strength 450 MPa (65,000 psi) 60 400 50 10 psi 300 MPa 40 40 30 200 Yield strength 30 200 250 MPa (36,000 psi) 100 20 10 100 10 0.005 0.10 0.20 0.30 0.40 Strain Stress (MPa) 20 T Stress (10 psi)

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 6.14P
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Q1/ Consider the brass alloy for which the stress-strain behavior is shown in the
figure below. A cylindrical specimen of this material 10.0 mm in diameter and 101.6
mm long is pulled in tension with a force of 10,000 N. If it is known that this alloy
has a value for Poisson's ratio of 0.35, compute (a) the specimen elongation, and (b)
the reduction in specimen diameter.
500
70
Tensile strength
450 MPa (65,000 psi)
60
400
50
10 psi
300
MPa 40
40
30
200
Yield strength
30
200
250 MPa (36,000 psi)
20
100
20
10
100
10
0.005
0.10
0.20
0.30
0.40
Strain
Stress (MPa)
Stress (10 psi)
Transcribed Image Text:Q1/ Consider the brass alloy for which the stress-strain behavior is shown in the figure below. A cylindrical specimen of this material 10.0 mm in diameter and 101.6 mm long is pulled in tension with a force of 10,000 N. If it is known that this alloy has a value for Poisson's ratio of 0.35, compute (a) the specimen elongation, and (b) the reduction in specimen diameter. 500 70 Tensile strength 450 MPa (65,000 psi) 60 400 50 10 psi 300 MPa 40 40 30 200 Yield strength 30 200 250 MPa (36,000 psi) 20 100 20 10 100 10 0.005 0.10 0.20 0.30 0.40 Strain Stress (MPa) Stress (10 psi)
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