Stress - Strain Behaviour Formula A cylindrical metal specimen 15.0 mm in diameter and 150 mm Tensile stress: long is to be subjected to a tensile stress of 50 MPa; at this stress level the resulting deformation will be totally elastic. F, Oavg A Shear stress a) If the elongation must be less than 0.072 mm, which of the metals in table below are suitable candidates? F, Tavg A Hooke's law b) If the maximum permissible diameter decrease is 0.0023 mm when the tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part a) are suitable Elongation candidates? o = Ee AL L Poisson's ratio Modulus of Elasticity derans de, dex Shear Modulus Poisson's de axial Meta! Alloy 10 psi 10° psi GPa GPa Ratio Aluminum 69 10 25 3.6 0.33 Brass 97 14 37 5.4 0.34 Соpper Magnesium Nickel 110 16 46 6.7 0.34 45 6.5 30 30 17 2.5 0.29 207 76 11.0 0.31 Steel 207 83 12.0 0.30 0.34 Titanium 107 15.5 45 6.5 Tungsten 407 59 160 23.2 0.28

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Stress - Strain Behaviour
Formula
A cylindrical metal specimen 15.0 mm in diameter and 150 mm Tensile stress:
long is to be subjected to a tensile stress of 50 MPa; at this stress
level the resulting deformation will be totally elastic.
F.
Oavg
A
Shear stress
a) If the elongation must be less than 0.072 mm, which of the
metals in table below are suitable candidates?
F,
Tavg
A
Hooke's law
b) If the maximum permissible diameter decrease is 0.0023 mm
when the tensile stress of 50 MPa is applied, which of the
metals that satisfy the criterion in part a) are suitable Elongation
candidates?
o = Ee
AL
L
Poisson's ratio
dcrans
Modulus of
Elasticity
de,
dex
Shear Modulus
V = -
Poisson's
de axial
Metal Alloy
10 psi
10 psi
GPa
GPa
Ratio
Aluminum
69
10
25
3.6
0.33
Brass
97
14
37
5.4
0.34
Соpper
Magnesium
110
16
46
6.7
0.34
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:Stress - Strain Behaviour Formula A cylindrical metal specimen 15.0 mm in diameter and 150 mm Tensile stress: long is to be subjected to a tensile stress of 50 MPa; at this stress level the resulting deformation will be totally elastic. F. Oavg A Shear stress a) If the elongation must be less than 0.072 mm, which of the metals in table below are suitable candidates? F, Tavg A Hooke's law b) If the maximum permissible diameter decrease is 0.0023 mm when the tensile stress of 50 MPa is applied, which of the metals that satisfy the criterion in part a) are suitable Elongation candidates? o = Ee AL L Poisson's ratio dcrans Modulus of Elasticity de, dex Shear Modulus V = - Poisson's de axial Metal Alloy 10 psi 10 psi GPa GPa Ratio Aluminum 69 10 25 3.6 0.33 Brass 97 14 37 5.4 0.34 Соpper Magnesium 110 16 46 6.7 0.34 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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