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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

100%

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

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