A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of 38.1 mm is pulled in tension. Use the load-elongation characteristics tabulated below. The modulus of resilience (Ur) is the area under the engineering stress-strain curve. Compute the Ur.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of 38.1 mm is pulled in tension. Use the load-elongation characteristics tabulated below. The modulus of resilience (Ur) is the area under the engineering stress-strain curve. Compute the Ur.

Force (N)
Force (N)
Displacement
(mm)
Displacement
(mm)
4.57
9358
0.06
60
4.97
9458
0.11
121
5.37
9558
0.17
181
5.77
9658
0.23
242
6.17
9708
0.27
687
6.57
9758
0.30
1171
6.97
9858
0.34
1434
7.37
9858
0.38
1979
7.77
9758
0.42
2222
8.17
9758
0.46
2665
8.57
9758
0.50
3029
8.97
9758
0.53
3433
9.37
9758
0.57
3958
9.77
9758
0.61
4261
10.17
9758
0.65
4705
10.57
9708
0.69
5028
10.97
9658
0.72
5351
11.37
9608
0.76
5957
11.77
9558
0.80
6280
12.17
9458
0.97
6658
12.57
9258
1.37
7058
12.97
8858
7658
13.37
13.77
1.77
8858
2.17
7958
7358
2.57
8258
13.77
2.97
8708
3.37
8908
3.77
9058
4.17
9208
Transcribed Image Text:Force (N) Force (N) Displacement (mm) Displacement (mm) 4.57 9358 0.06 60 4.97 9458 0.11 121 5.37 9558 0.17 181 5.77 9658 0.23 242 6.17 9708 0.27 687 6.57 9758 0.30 1171 6.97 9858 0.34 1434 7.37 9858 0.38 1979 7.77 9758 0.42 2222 8.17 9758 0.46 2665 8.57 9758 0.50 3029 8.97 9758 0.53 3433 9.37 9758 0.57 3958 9.77 9758 0.61 4261 10.17 9758 0.65 4705 10.57 9708 0.69 5028 10.97 9658 0.72 5351 11.37 9608 0.76 5957 11.77 9558 0.80 6280 12.17 9458 0.97 6658 12.57 9258 1.37 7058 12.97 8858 7658 13.37 13.77 1.77 8858 2.17 7958 7358 2.57 8258 13.77 2.97 8708 3.37 8908 3.77 9058 4.17 9208
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