Problem

The percentage reduction of area for the tensile test specimen in Problem 1.31 was found t...

The percentage reduction of area for the tensile test specimen in Problem 1.31 was found to be 55%. Compare the engineering fracture stress with the true fracture stress for the steel specimen.

Problem 1.31

A steel tensile test specimen has a diameter of 10 mm and a gage length of 50 mm. Test data for axial load and corresponding data for the gage-length elongation are listed in Table P1.31 Convert these data to engineering stress-strain data and determine the magnitudes of the toughness UF and the ultimate strength σu.

TABLE P1.31

Load (kN)

Elongation (mm)

0

0

3.1

0.01

6.2

0.02

9.3

0.03

12.4

0.04

15.5

0.05

18.6

0.06

21.7

0.07

24.7

0.08

25.8

0.09

26.1

0.10

29.2

0.15

31.0

0.20

34.0

0.30

36.3

0.40

38.8

0.50

41.2

0.60

44.1

1.25

48.1

2.50

50.4

3.75

51.4

5.00

52.0

6.25

52.2

7.50

52.0

8.75

50.6

10.00

45.1

11.25

43.2

11.66

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