1.5-2 A bar of length 2.0 m is made of a structural steel having the stress-strain diagram shown in the figure. The yield stress of the steel is 250 MPa and the slope of the ini- tial linear part of the stress-strain curve (modulus of elas- ticity) is 200 GPa. The bar is loaded axially until it elongates 6.5 mm, and then the load is removed. How does the final length of the bar compare with its original length? (Hint: Use the concepts illustrated in Fig. 1-36b.) o (MPa) 300 200 100 0.002 0.004 0.006

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.5P: An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the...
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1.5-2 A bar of length 2.0 m is made of a structural steel
having the stress-strain diagram shown in the figure. The
yield stress of the steel is 250 MPa and the slope of the ini-
tial linear part of the stress-strain curve (modulus of elas-
ticity) is 200 GPa. The bar is loaded axially until it
elongates 6.5 mm, and then the load is removed.
How does the final length of the bar compare with
its original length? (Hint: Use the concepts illustrated in
Fig. 1-36b.)
o (MPa)
300
200
100
0.002
0.004
0.006
PROB. 1.5-2
Transcribed Image Text:1.5-2 A bar of length 2.0 m is made of a structural steel having the stress-strain diagram shown in the figure. The yield stress of the steel is 250 MPa and the slope of the ini- tial linear part of the stress-strain curve (modulus of elas- ticity) is 200 GPa. The bar is loaded axially until it elongates 6.5 mm, and then the load is removed. How does the final length of the bar compare with its original length? (Hint: Use the concepts illustrated in Fig. 1-36b.) o (MPa) 300 200 100 0.002 0.004 0.006 PROB. 1.5-2
1.5-4 A circular bar of magnesium alloy is 750 mm long.
The stress-strain diagram for the material is shown in the
figure. The bar is loaded in tension to an elongation of
6.0 mm, and then the load is removed.
(a) What is the permanent set of the bar?
(b) If the bar is reloaded, what is the proportional limit?
(Hint: Use the concepts illustrated in Figs. 1-36b and 1-37.)
70
63
56
49
o (MPa) 42
35
28
21
14
0.002
0.004
0.006 0.008 0.01
PROB. 1.5-4
Transcribed Image Text:1.5-4 A circular bar of magnesium alloy is 750 mm long. The stress-strain diagram for the material is shown in the figure. The bar is loaded in tension to an elongation of 6.0 mm, and then the load is removed. (a) What is the permanent set of the bar? (b) If the bar is reloaded, what is the proportional limit? (Hint: Use the concepts illustrated in Figs. 1-36b and 1-37.) 70 63 56 49 o (MPa) 42 35 28 21 14 0.002 0.004 0.006 0.008 0.01 PROB. 1.5-4
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