Load (kN) Displacement (mm) Load (kN) Displacement (mm) 159.4 8.560 18.5 0.102 161.2 9.856 84.3 0.379 162.8 11.217 147.4 0.623 164.2 12.588 147.6 1.744 165.0 13.789 149.2 4.327 165.8 15.201 150.8 4.742 166.6 18.767 153.9 6.030 153.6 30.746 157.0 7.339

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A high-yield-strength alloy steel bar with a rectangular cross section that has a width of 37.5 mm, a thickness of 6.25 mm, and a gauge length of 203 mm was tested in tension to rupture, according to ASTM E-8 method. The load and deformation data were as shown in Table 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. If the specimen is loaded to 155 kN only and then unloaded, what is the permanent deformation?
g. In designing a typical structure made of this material, would you expect the stress applied in (f) safe? Why?

Load (kN)
Displacement (mm)
Load (kN)
Displacement (mm)
159.4
8.560
18.5
0.102
161.2
9.856
84.3
0.379
162.8
11.217
147.4
0.623
164.2
12.588
147.6
1.744
165.0
13.789
149.2
4.327
165.8
15.201
150.8
4.742
166.6
18.767
153.9
6.030
153.6
30.746
157.0
7.339
Transcribed Image Text:Load (kN) Displacement (mm) Load (kN) Displacement (mm) 159.4 8.560 18.5 0.102 161.2 9.856 84.3 0.379 162.8 11.217 147.4 0.623 164.2 12.588 147.6 1.744 165.0 13.789 149.2 4.327 165.8 15.201 150.8 4.742 166.6 18.767 153.9 6.030 153.6 30.746 157.0 7.339
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