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b. A plot of the linear portion of the stress-strain relationship. De-
termine modulus of elasticity using the best fit approach.
c. Proportional limit.
d. Yield stress at an offset strain of 0.002 in/in.
e. Tangent modulus at a stress of 60 ksi.
f. Secant modulus at a stress of 60 ksi.
4.5
An aluminum alloy bar with a rectangular cross section that has a
width of 12.5 mm, thickness of 6.25 mm, and a gage length of 50 mm
was tested in tension to fracture according to ASTM E-8 method. The
load and deformation data were as shown in Table P4.5.
Table P4.5
Load (kN)
¢
L
(mm)
Load (kN)
¢
L
(mm)
0
0
33.5
1.486
3.3
0.025
35.3
2.189
14.0
0.115
37.8
3.390
25.0
0.220
39.8
4.829
29.0
0.406
40.8
5.961
30.6
0.705
41.6
7.386
31.7
0.981
41.2
8.047
32.7
1.245
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 the modulus of elasticity using the best fit approach.
c. Proportional limit.
d. Yield stress at an offset strain of 0.002 in/in.
e. Tangent modulus at a stress of 450 MPa.
f. Secant modulus at a stress of 450 MPa.
4.6
A round aluminum alloy bar with a 0.25-inch diameter and a 1-inch
gauge length was tested in tension to fracture according to ASTM
E-8 method. The load and deformation data were as shown in
Table P4.6.
Table P4.6
Displacement
Displacement
Load (lb)
(in.)
Load (lb)
(in.)
0
0
2957
0.02926
288
0.00050
3119
0.04310
1239
0.00225
3337
0.06674
2207
0.00432
3513
0.09506
2562
0.00799
3604
0.11734
2703
0.01388
3677
0.14539
2800
0.01930
3643
0.15841
2886
0.02451
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