Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.4, Problem 3.10P
The stress-strain diagram for an aluminum alloy specimen having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. Determine approximately the modulus of elasticity for the material, the load on the specimen that causes yielding, and the ultimate load the specimen will support.
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TEST YOUR
UNDERSTANDING!
The tension stress-strain diagram for a square bar (50 x 50
mm²; L = 600 mm) is shown in the figure. If the applied load is
500 kN, determine the elongation and the new side length of
the specimen. The shear modulus is G = 83 GPa.
1. What is the modulus of elasticity of the material?
2. What is the Poisson's ratio of the material?
3. What is the lateral strain of the material?
Answer to Test your understanding box
1.
200 GPa
2.
3.
4.
(MPa)
0.2048
2.048 x 104
49.9898 mm
400
0.002
(TYU 2-2)
What is the new side length of the material?
5.
If a force applied to the material elongates the material by 3 mm, what happens to the
material if the force is removed? Why?
(mm/mm)
A tensile test specimen has a gage length = 3.0 in and
diameter 0.75 in. Yielding occurs at a load of 38,000 lb. The
corresponding gage length = 3.0103 in (neglect the 0.2 percent
yield point). The maximum load of 54,000 lb is reached at a gage
length = 3.453 in. Determine the modulus of elasticity (neglect
the 0.2% offset, and round to the nearest whole Msi).
37
Chapter 3 Solutions
Mechanics of Materials (10th Edition)
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