A 32-mm rebar with a gauge length of 200 mm was subjected to tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P3.33. 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 rebar is loaded to 390 kN only and then unloaded, what is the permanent change in length? TABLE P3.3 3 Load (kN) Displacement (mm) Load (kN) Displacement (mm) 472.9 8.4 62.2 0.1 487.1 9.7 188.9 0.2 496.4 11.1 329.8 0.4 505.7 12.4 383.4 1.7 512.8 13.7 426.0 4.0 522.6 15.3 447.3 5.9 532.4 18.5 462.5 7.2 525.9 22.4

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A 32-mm rebar with a gauge length of 200 mm was subjected to tension to
fracture according to ASTM E-8 method. The load and deformation data were
as shown in Table P3.33.
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 rebar is loaded to 390 kN only and then unloaded, what is the
permanent change in length?
TABLE P3.3 3
Load (kN)
Displacement (mm)
Load (kN)
Displacement (mm)
472.9
8.4
62.2
0.1
487.1
9.7
188.9
0.2
496.4
11.1
329.8
0.4
505.7
12.4
383.4
1.7
512.8
13.7
426.0
4.0
522.6
15.3
447.3
5.9
532.4
18.5
462.5
7.2
525.9
22.4
Transcribed Image Text:A 32-mm rebar with a gauge length of 200 mm was subjected to tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P3.33. 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 rebar is loaded to 390 kN only and then unloaded, what is the permanent change in length? TABLE P3.3 3 Load (kN) Displacement (mm) Load (kN) Displacement (mm) 472.9 8.4 62.2 0.1 487.1 9.7 188.9 0.2 496.4 11.1 329.8 0.4 505.7 12.4 383.4 1.7 512.8 13.7 426.0 4.0 522.6 15.3 447.3 5.9 532.4 18.5 462.5 7.2 525.9 22.4
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