A round steel bar with a diameter of 12.5 mm and a gauge length of 50 mm was subjected to tension to rupture following ASTM E-8 test procedure. The load and deformation data were as shown in Table P3.30. Using a spreadsheet program obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress. e. Ultimate strength. f. When the applied load was 18 kN, the diameter was measured as 12.7 mm Determine Poisson's ratio. g. After the rod was broken, the two parts were put together and the diameter at the neck was measured as 10.6 mm What is the true stress value at fracture? Is the true stress at fracture larger or smaller than the engineering stress at fracture? Why? h. Do you expect the true strain at fracture to be larger or smaller than the engineering strain at fracture? Why? TABLE P3.30 Load (kN) Displacement (mm) Load (kN) Displacement (mm) 38.1 2.1 12.2 0.02 39.1 2.4 18.1 0.04 39.9 2.8 31.7 0.06 40.7 3.1 31.8 0.43 41.1 3.4 32.6 1.07 41.6 3.7 33.5 1.17 42.0 4.6 35.2 1.49 35.0 7.6 36.8 1.81
A round steel bar with a diameter of 12.5 mm and a gauge length of 50 mm was subjected to tension to rupture following ASTM E-8 test procedure. The load and deformation data were as shown in Table P3.30. Using a spreadsheet program obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress. e. Ultimate strength. f. When the applied load was 18 kN, the diameter was measured as 12.7 mm Determine Poisson's ratio. g. After the rod was broken, the two parts were put together and the diameter at the neck was measured as 10.6 mm What is the true stress value at fracture? Is the true stress at fracture larger or smaller than the engineering stress at fracture? Why? h. Do you expect the true strain at fracture to be larger or smaller than the engineering strain at fracture? Why? TABLE P3.30 Load (kN) Displacement (mm) Load (kN) Displacement (mm) 38.1 2.1 12.2 0.02 39.1 2.4 18.1 0.04 39.9 2.8 31.7 0.06 40.7 3.1 31.8 0.43 41.1 3.4 32.6 1.07 41.6 3.7 33.5 1.17 42.0 4.6 35.2 1.49 35.0 7.6 36.8 1.81
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A round steel bar with a diameter of 12.5 mm and a gauge length of 50 mm
was subjected to tension to rupture following ASTM E-8 test procedure. The
load and deformation data were as shown in Table P3.30.
Using a spreadsheet program obtain the following:
a. A plot of the stress-strain relationship. Label the axes and show units.
b. A plot of the linear portion of the stress-strain relationship. Determine
modulus of elasticity using the best fit approach.
c. Proportional limit.
d. Yield stress.
e. Ultimate strength.
f. When the applied load was 18 kN, the diameter was measured as
12.7 mm Determine Poisson's ratio.
g. After the rod was broken, the two parts were put together and the
diameter at the neck was measured as 10.6 mm What is the true stress
value at fracture? Is the true stress at fracture larger or smaller than the
engineering stress at fracture? Why?
h. Do you expect the true strain at fracture to be larger or smaller than the
engineering strain at fracture? Why?
TABLE P3.30
Load (kN)
Displacement (mm)
Load (kN)
Displacement (mm)
38.1
2.1
12.2
0.02
39.1
2.4
18.1
0.04
39.9
2.8
31.7
0.06
40.7
3.1
31.8
0.43
41.1
3.4
32.6
1.07
41.6
3.7
33.5
1.17
42.0
4.6
35.2
1.49
35.0
7.6
36.8
1.81
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