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. Modulus of elasticity iii. Ductility

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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. Modulus of elasticity
iii. Ductility
Transcribed Image Text: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. Modulus of elasticity iii. Ductility
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