Problem 4 The test data of the coupon tests of stainless steel alloys are given for three test specimens in the attached table next page. The stress is given in (ksi) and the strain is given in (in/in). The table next page is an excel format table. 1) Plot the stress strain curve of the three specimens (Y axis for stress, X axis for strain) 2) Using the plots in Part (1), estimate modulus of elasticity (E), the yield stress (Fy), and yield strain (ɛy) for each specimen. Stress Test 1 Test 2 P/A (ksi) Strain1 (AL/Lo) Strain2 (AL/Lo) 0 2 4 6 8 10 12 14 16 3 ឌ ន ជ ដ ន ន & ៨ * & & ៛ ៥ # 2 4 & ៨ z ៖ ឌ & ៨ ៖ ៖ ៖ ន ន ៖ P P & & ៖៖៖៖៖ 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 80 82 84 86 88.9 89.9 91.6 0 0.000069 0.000137 0.000206 0.000275 0.000344 0.000415 0.000487 0.000564 0.000646 0.000736 0.000840 0.000961 0.001105 0.001282 0.001499 0.001767 0.002101 0.002515 0.003027 0.013389 0.014656 0.016063 0.018087 0.020848 0.024451 0.028989 0.034547 0.041204 0.049036 0.058113 0.068501 0.080264 0.093464 0.108159 0.124406 0.142260 0.161774 0.183001 0.205990 0.230791 0.257451 0.286018 0.316536 0.349052 0 0.000070 0.000141 0.000211 0.000281 0.000352 0.000424 0.000497 0.000573 0.000653 0.000739 0.000834 0.000942 0.001067 0.001214 0.001390 0.001603 0.001863 0.002179 0.002566 0.003037 0.012635 0.013385 0.014562 0.016380 0.019022 0.022652 0.027422 0.033474 0.040944 0.049960 0.060647 0.073124 0.087508 0.103911 0.122444 0.143212 0.166321 0.191873 0.219968 0.250706 0.284182 0.320492 0.359730 0.401987 0.447355 Test 3 Strain3 (AL/Lo) 0 0.000071 0.000143 0.000214 0.000286 0.000359 0.000433 0.000511 0.000594 0.000687 0.000793 0.000919 0.001072 0.001262 0.001502 0.001805 0.002190 0.002676 0.003287 0.015180 0.016532 0.018477 0.021131 0.024588 0.028932 0.034234 0.040560 0.047972 0.056526 0.066276 0.077271 0.089560 0.103189 0.118200 0.134636 0.152538 0.171943 0.192890 0.215414 0.239553 0.265339 0.292807 0.321988 0.352915 0.385620 0.420131 0.459020
Problem 4 The test data of the coupon tests of stainless steel alloys are given for three test specimens in the attached table next page. The stress is given in (ksi) and the strain is given in (in/in). The table next page is an excel format table. 1) Plot the stress strain curve of the three specimens (Y axis for stress, X axis for strain) 2) Using the plots in Part (1), estimate modulus of elasticity (E), the yield stress (Fy), and yield strain (ɛy) for each specimen. Stress Test 1 Test 2 P/A (ksi) Strain1 (AL/Lo) Strain2 (AL/Lo) 0 2 4 6 8 10 12 14 16 3 ឌ ន ជ ដ ន ន & ៨ * & & ៛ ៥ # 2 4 & ៨ z ៖ ឌ & ៨ ៖ ៖ ៖ ន ន ៖ P P & & ៖៖៖៖៖ 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 80 82 84 86 88.9 89.9 91.6 0 0.000069 0.000137 0.000206 0.000275 0.000344 0.000415 0.000487 0.000564 0.000646 0.000736 0.000840 0.000961 0.001105 0.001282 0.001499 0.001767 0.002101 0.002515 0.003027 0.013389 0.014656 0.016063 0.018087 0.020848 0.024451 0.028989 0.034547 0.041204 0.049036 0.058113 0.068501 0.080264 0.093464 0.108159 0.124406 0.142260 0.161774 0.183001 0.205990 0.230791 0.257451 0.286018 0.316536 0.349052 0 0.000070 0.000141 0.000211 0.000281 0.000352 0.000424 0.000497 0.000573 0.000653 0.000739 0.000834 0.000942 0.001067 0.001214 0.001390 0.001603 0.001863 0.002179 0.002566 0.003037 0.012635 0.013385 0.014562 0.016380 0.019022 0.022652 0.027422 0.033474 0.040944 0.049960 0.060647 0.073124 0.087508 0.103911 0.122444 0.143212 0.166321 0.191873 0.219968 0.250706 0.284182 0.320492 0.359730 0.401987 0.447355 Test 3 Strain3 (AL/Lo) 0 0.000071 0.000143 0.000214 0.000286 0.000359 0.000433 0.000511 0.000594 0.000687 0.000793 0.000919 0.001072 0.001262 0.001502 0.001805 0.002190 0.002676 0.003287 0.015180 0.016532 0.018477 0.021131 0.024588 0.028932 0.034234 0.040560 0.047972 0.056526 0.066276 0.077271 0.089560 0.103189 0.118200 0.134636 0.152538 0.171943 0.192890 0.215414 0.239553 0.265339 0.292807 0.321988 0.352915 0.385620 0.420131 0.459020
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 4
The test data of the coupon tests of stainless steel alloys are given for three test specimens in the
attached table next page. The stress is given in (ksi) and the strain is given in (in/in). The table
next page is an excel format table.
1) Plot the stress strain curve of the three specimens (Y axis for stress, X axis for strain)
2) Using the plots in Part (1), estimate modulus of elasticity (E), the yield stress (Fy), and yield
strain (ɛy) for each specimen.
Stress
Test 1
Test 2
P/A (ksi)
Strain1 (AL/Lo) Strain2 (AL/Lo)
0
2
4
6
8
10
12
14
16
18
20
22
24
3 ន គ 8 ឥ គឺ ៖ 8 ឧ ៥ 1 2 2 8 ៨ គឺ ៖ 8 3 ៖ ៖ ៖ P À Å P P 8 3 3 ៖៖៖៖
26
28
30
32
34
36
38
40
42
44
46
48
50
52
54
56
58
60
62
64
66
68
70
72
74
76
78
80
82
84
86
88.9
89.9
91.6
0
0.000069
0.000137
0.000206
0.000275
0.000344
0.000415
0.000487
0.000564
0.000646
0.000736
0.000840
0.000961
0.001105
0.001282
0.001499
0.001767
0.002101
0.002515
0.003027
0.013389
0.014656
0.016063
0.018087
0.020848
0.024451
0.028989
0.034547
0.041204
0.049036
0.058113
0.068501
0.080264
0.093464
0.108159
0.124406
0.142260
0.161774
0.183001
0.205990
0.230791
0.257451
0.286018
0.316536
0.349052
0
0.000070
0.000141
0.000211
0.000281
0.000352
0.000424
0.000497
0.000573
0.000653
0.000739
0.000834
0.000942
0.001067
0.001214
0.001390
0.001603
0.001863
0.002179
0.002566
0.003037
0.012635
0.013385
0.014562
0.016380
0.019022
0.022652
0.027422
0.033474
0.040944
0.049960
0.060647
0.073124
0.087508
0.103911
0.122444
0.143212
0.166321
0.191873
0.219968
0.250706
0.284182
0.320492
0.359730
0.401987
0.447355
Test 3
Strain3 (AL/Lo)
0
0.000071
0.000143
0.000214
0.000286
0.000359
0.000433
0.000511
0.000594
0.000687
0.000793
0.000919
0.001072
0.001262
0.001502
0.001805
0.002190
0.002676
0.003287
0.015180
0.016532
0.018477
0.021131
0.024588
0.028932
0.034234
0.040560
0.047972
0.056526
0.066276
0.077271
0.089560
0.103189
0.118200
0.134636
0.152538
0.171943
0.192890
0.215414
0.239553
0.265339
0.292807
0.321988
0.352915
0.385620
0.420131
0.459020
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