Qu 4 A cylindrical metal specimen 15.0 mm in diameter and 150 mm long is to be subjected to a tensile stress of 50 MPa; at this stress level, the resulting deformation will be totally elastic. (a) If the elongation must be less than 0.072 mm, which of the metals in Table 1 are suitable candidates? (b) If, in addition, the maximum permissible diameter decrease is 2.3 × 10-3 mm when the tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part (a) are suitable candidates? Table 1: Mechanical Properties of Metals Modulus of Elasticity Shear Modulus Metal Alloy GPa 10% psi GPa 10 psi Poisson's Ratio Aluminum 69 10 25 3.6 0.33 Brass 97 14 37 5.4 0.34 Copper 110 16 46 6.7 0.34 Magnesium 45 6.5 17 2.5 0.29 Nickel 207 30 76 11.0 0.31 Steel 207 30 83 12.0 0.30 Titanium 107 15.5 45 6.5 0.34 Tungsten 407 59 160 23.2 0.28

Elements Of Electromagnetics
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Qu 4 A cylindrical metal specimen 15.0 mm in diameter and 150 mm long is to be subjected to a tensile stress of 50 MPa; at this stress level, the resulting deformation will be totally elastic.

  1. If the elongation must be less than 0.072 mm, which of the metals in Table 1 are suitable candidates?
  2. If, in addition, the maximum permissible diameter decrease is 2.3 × 10-3 mm when the tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part (a) are suitable candidates?   
    see on the tables given part a and b i need to show all work problems formula step by step please make sure is correctly material science 
Qu 4 A cylindrical metal specimen 15.0 mm in diameter and 150 mm long is to be subjected to a tensile
stress of 50 MPa; at this stress level, the resulting deformation will be totally elastic.
(a) If the elongation must be less than 0.072 mm, which of the metals in Table 1 are suitable
candidates?
(b) If, in addition, the maximum permissible diameter decrease is 2.3 × 10-3 mm when the
tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part (a) are
suitable candidates?
Table 1: Mechanical Properties of Metals
Modulus of
Elasticity
Shear Modulus
Metal Alloy
GPa
10% psi
GPa
10 psi
Poisson's Ratio
Aluminum
69
10
25
3.6
0.33
Brass
97
14
37
5.4
0.34
Copper
110
16
46
6.7
0.34
Magnesium
45
6.5
17
2.5
0.29
Nickel
207
30
76
11.0
0.31
Steel
207
30
83
12.0
0.30
Titanium
107
15.5
45
6.5
0.34
Tungsten
407
59
160
23.2
0.28
Transcribed Image Text:Qu 4 A cylindrical metal specimen 15.0 mm in diameter and 150 mm long is to be subjected to a tensile stress of 50 MPa; at this stress level, the resulting deformation will be totally elastic. (a) If the elongation must be less than 0.072 mm, which of the metals in Table 1 are suitable candidates? (b) If, in addition, the maximum permissible diameter decrease is 2.3 × 10-3 mm when the tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part (a) are suitable candidates? Table 1: Mechanical Properties of Metals Modulus of Elasticity Shear Modulus Metal Alloy GPa 10% psi GPa 10 psi Poisson's Ratio Aluminum 69 10 25 3.6 0.33 Brass 97 14 37 5.4 0.34 Copper 110 16 46 6.7 0.34 Magnesium 45 6.5 17 2.5 0.29 Nickel 207 30 76 11.0 0.31 Steel 207 30 83 12.0 0.30 Titanium 107 15.5 45 6.5 0.34 Tungsten 407 59 160 23.2 0.28
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