Problem 8: The following load elongation data were recorded during the tensile testing of a copper bar measuring 0.505 in. (0.0128 m) in diameter, with a gauge length of 2 in. (0.0508 m). d. What is the percentage elongation at fracture? e. Calculate true stress-true strain values up to onset of necking.

Materials Science And Engineering Properties
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ISBN:9781111988609
Author:Charles Gilmore
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Chapter6: Introduction To Mechanical Properties
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Problem 8: The following load elongation data were recorded during the tensile
testing of a copper bar measuring 0.505 in. (0.0128 m) in diameter, with a gauge
length of 2 in. (0.0508 m).
d. What is the percentage elongation at fracture?
e. Calculate true stress-true strain values up to onset of necking.
Transcribed Image Text:Problem 8: The following load elongation data were recorded during the tensile testing of a copper bar measuring 0.505 in. (0.0128 m) in diameter, with a gauge length of 2 in. (0.0508 m). d. What is the percentage elongation at fracture? e. Calculate true stress-true strain values up to onset of necking.
Tensile test data
Load
Elongation
Ib N
in.
10- m
7,550
3340 14,800
3500 15,500
4200 18,600
2.54
5.08
10.2
1700
0.001
0.002
0.004
0.10
254
5000 22,200
6200 27,500
7200 32,000
7800 34,600
7500 33,300
6000 26,600
0.2
508
1020
1520
0.4
0.6
0.8
2030
1.00
2540
1.05
2670
Derived stress-strain values
True
Engineering
stress (o)-strain (e)
stress (7,)-strain (e)
psi
MPa
in./in. or m/m
psi
MPa
in./in. or m/m
8,500
16,700
17,500
21,000
25,000
31,000
36,000
39,000
37,500
30,000
58.6
0.0005
0.001
8,500
16,700
17,500
22,000
27,500
37,200
46,800
54,600
58.6
115
115
0.001
121
0.002
121
0.002
152
145
172
0.05
0.049
0.1
0.2
189
256
322
0.095
214
248
0.182
0.262
0.3
269
258
0.4
376
0.336
0.5
0.525
I Necking to failure
207
Transcribed Image Text:Tensile test data Load Elongation Ib N in. 10- m 7,550 3340 14,800 3500 15,500 4200 18,600 2.54 5.08 10.2 1700 0.001 0.002 0.004 0.10 254 5000 22,200 6200 27,500 7200 32,000 7800 34,600 7500 33,300 6000 26,600 0.2 508 1020 1520 0.4 0.6 0.8 2030 1.00 2540 1.05 2670 Derived stress-strain values True Engineering stress (o)-strain (e) stress (7,)-strain (e) psi MPa in./in. or m/m psi MPa in./in. or m/m 8,500 16,700 17,500 21,000 25,000 31,000 36,000 39,000 37,500 30,000 58.6 0.0005 0.001 8,500 16,700 17,500 22,000 27,500 37,200 46,800 54,600 58.6 115 115 0.001 121 0.002 121 0.002 152 145 172 0.05 0.049 0.1 0.2 189 256 322 0.095 214 248 0.182 0.262 0.3 269 258 0.4 376 0.336 0.5 0.525 I Necking to failure 207
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