Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.19QP
Three steel bars with a diameter of 25 mm and carbon contents of 0.2, 0.5, and 0.8%, respectively. The specimens were subjected to tension until rupture. The load versus deformation results were as shown in Table P3.19.
If the gauge length is 50 mm, determine the following:
- a. a The tensile stresses and strains for each specimen at each load increment.
- b. b Plot stresses versus strains for all specimens on one graph.
TABLE P3.19
- c. The proportional limit for each specimen.
- d. The 0.2% offset yield strength for each specimen.
- e. The modulus of elasticity for each specimen.
- f. The strain at rupture for each specimen.
- g. Comment on the effect of increasing the carbon content on the following:
- i. Yield strength
- ii. Modulus of elasticity
- iii. Ductility
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A 19-mm reinforcing steel bar and a gauge length of 75 mm was subjected to ten-
sion, with the results shown in Table P3.27. Using a computer spreadsheet pro-
gram, plot the stress-strain relationship. From the graph, determine the Young's
modulus of the steel and the deformation corresponding to a 150-kN load.
TABLE P3.27
Load, kN
Deformation, mm
54
0.084
163
0.168
284
0.336
330
1.428
366
3.360
Three steel bars have a diameter of 25 mm and carbon contents of 0.2, 0.5,
and 0.8%, respectively. The specimens were subjected to tension until rup-
ture. The load versus deformation results were as shown in Table P3.19.
If the gauge length is 50 mm, determine the following:
a. The tensile stresses and strains for each specimen at each load increment.
b. Plot stresses versus strains for all specimens on one graph.
TABLE P3.19
Specimen No.
Carbon Content (%)
Deformation (mm)
1
2
3
0.2
0.5
0.8
Load (kN)
0.00
0.07
133
133
133
0.10
137
191
191
0.15
142
196
285
0.50
147
201
324
1.00
140
199
383
2,50
155
236
447
5.00
196
295
491 (Rupture)
7.50
226
336
10.00
241
341
12.50
218
304 (Rupture)
13.75
196 (Rupture)
c. The proportional limit for each specimen.
d. The 0.2% offset yield strength for each specimen.
e. The modulus of elasticity for each specimen.
f. The strain at rupture for each specimen.
g. Comment on the effect of increasing the carbon content on the following:
i. Yield strength
ii.…
A steel specimen is tested in tension. The specimen is 25 mm wide by 5 mm thick in the test region. By monitoring the load dial of the testing machine, it was found that the specimen yielded at a load of 55 kN and fractured at 78 kN.a. Determine the tensile stresses at yield and at fracture.b. Estimate how much elongation would occur at 60% of the yield stress in a 50-mm gauge length.
Chapter 3 Solutions
Materials for Civil and Construction Engineers (4th Edition)
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