8. A cylindrical bar of steel with a diameter of 10 mm is deformed elastically by applying a force along the bar axis. Determine the force that produces an elastic reduction in diameter of 3 X 10-3 mm. You may use materia properties given in Table 6.1 below. Table 6.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio for Various Metal Alloys Metal Alloy Aluminum Brass Copper Magnesium Nickel Steel Titanium Tungsten Modulus of Elasticity GPa 69 97 110 45 207 207 107 407 106 psi 10 14 16 6.5 30 30 15.5 59 Shear Modulus GPa 25 37 46 17 76 83 45 160 106 psi 3.6 5.4 6.7 2.5 11.0 12.0 6.5 23.2 Poisson's Ratio 0.33 0.34 0.34 0.29 0.31 0.30 0.34 0.28

8. A cylindrical bar of steel with a diameter of 10 mm is deformed elastically by applying a force along the bar axis. Determine the force that produces an elastic reduction in diameter of 3 X 10-3 mm. You may use materia properties given in Table 6.1 below. Table 6.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio for Various Metal Alloys Metal Alloy Aluminum Brass Copper Magnesium Nickel Steel Titanium Tungsten Modulus of Elasticity GPa 69 97 110 45 207 207 107 407 106 psi 10 14 16 6.5 30 30 15.5 59 Shear Modulus GPa 25 37 46 17 76 83 45 160 106 psi 3.6 5.4 6.7 2.5 11.0 12.0 6.5 23.2 Poisson's Ratio 0.33 0.34 0.34 0.29 0.31 0.30 0.34 0.28

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

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

8. A cylindrical bar of steel with a diameter of 10 mm is deformed elastically by applying a force along the bar
axis. Determine the force that produces an elastic reduction in diameter of 3 X 10-³ mm. You may use material
properties given in Table 6.1 below.
Table 6.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio
for Various Metal Alloys
Metal Alloy
Aluminum
Brass
Copper
Magnesium
Nickel
Steel
Titanium
Tungsten
GPa
69
97
110
45
207
207
107
407
Modulus of
Elasticity
10 psi
10
14
16
6.5
30
30
15.5
59
Shear Modulus
GPa
25
37
46
17
76
83
45
160
10° psi
3.6
5.4
6.7
2.5
11.0
12.0
6.5
23.2
Poisson's
Ratio
0.33
0.34
0.34
0.29
0.31
0.30
0.34
0.28

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