Materials For Civil And Construction Engineers In Si Units
4th Edition
ISBN: 9781292154404
Author: Michael S Mamlouk
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.34QP
A grade 36 round steel bar with a diameter of 0.5 in. and a gauge length of 2 in. was subjected to tension to rupture following ASTM E-8 test procedure, The load and deformation data were as shown in Table P3.34.
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. When the applied load was 4.07 kips, the diameter was measured as 0.499905 in. Determine Poisson’s ratio.
- g. After the rod was broken, the two parts were put together and the diameter at the neck was measured as 0.416012 in. What is the true stress value at fracture? Is the true stress at fracture larger or smaller than the engineering stress at fracture? Why?
- h. Do you expect the true strain at fracture to be larger or smaller than the engineering strain at fracture? Why?
TABLE P3.34
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A grade 36 round steel bar with a diameter of 0.5 inches and a gauge length of 2 inches wassubjected to tension to rupture following ASTM E-8 test procedure. The load and deformation data wereas shown in the following 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 usingthe best fit approach.c. Proportional limit.d. Yield stress.e. Ultimate strength.f. When the applied load was 4.07 kips, the diameter was measured as 0.499905 inches. DeterminePoisson’s ratio.g. After the rod was broken, the two parts were put back together and the diameter of at the neckwas measured as 0.416012 inches. What is the true stress value at fracture? Is the true stress atfracture larger or smaller than the engineering stress at fracture? Why?h. Do you expect the true strain at fracture to be larger or smaller than the…
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A plot of the linear portion of the stress–strain relationship. Determine modulus of elasticity using the best fit approach.
Proportional limit.
Yield stress.
Ultimate strength.
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hree 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:
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The modulus of elasticity for each specimen.
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Chapter 3 Solutions
Materials For Civil And Construction Engineers In Si Units
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