Table 7.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio for Various Materials Modulus of Elasticity GPa 10 psi Material Tungsten Steel Nickel Titanium Copper- Brass Aluminum Magnesium I Aluminum oxide (Al₂O,) Silicon carbide (SiC) Silicon nitride (Si,N.) Spinel (MgAl₂O) Magnesium oxide (MgO) Zirconia (ZrO₂) Mullite (3Al₂O,-2SiO₂) Glass-ceramic (Pyroceram) Fused silica (SiO₂) Soda-lime glass Phenol-formaldehyde Poly(vinyl chloride) (PVC) Poly(ethylene terephthalate) (PET) Polystyrene (PS) Poly(methyl methacrylate) (PMMA) Polycarbonate (PC) Nylon 6,6 Polypropylene (PP) Polyethylene-high density (HDPE) Polytetrafluoroethylene (PTFE) Polyethylene-low density (LDPE) 407 207 207 107 110 97 69 45 Ceramic Materials 393 345 304 260 225 Metal Alloys 205 145 120 73 69 Polymers 2.76-4.83 2.41-4.14 2.76-4.14 2.28-3.28 2.24-3.24 2.38 1.59-3.79 1.14-1.55 1.08 0.40-0.55 0.17-0.28 59 30 30 15.5 16 14 10 65 57 50 44 38 33 30 21 17 11 10 0.40-0.70 0.35-0.60 0.40-0.60 0.33-0.48 0.33-0.47 0.35 0.23-0.55 0.17-0.23 0.16 0.058-0.080 0.025-0.041 "Partially stabilized with 3 mol % Y,O,. Modern Plastics Encyclopedia 96, McGraw-Hill, New York, 1995. 11111 7.3 Stress-Strain Behavior Shear Modulus GPa 10 psl 160 83 76 45 46 1111111 37 25 17 11111 23.2 12.0 11.0 6.5 6.7 5.4 3.6 2.5 1111111 . Poisson's Ra 0.18 0.31 0.24 0.25 0.17 0.22 0.17 0.30 0.23 0.38 0.33 0.31 0.34 0.34 0.34 0.33 0.35 0.46 0.33 0.37-0.44 0.36 0.39 0.40 0.28 0.30 0.46 0.33-0.40
Table 7.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio for Various Materials Modulus of Elasticity GPa 10 psi Material Tungsten Steel Nickel Titanium Copper- Brass Aluminum Magnesium I Aluminum oxide (Al₂O,) Silicon carbide (SiC) Silicon nitride (Si,N.) Spinel (MgAl₂O) Magnesium oxide (MgO) Zirconia (ZrO₂) Mullite (3Al₂O,-2SiO₂) Glass-ceramic (Pyroceram) Fused silica (SiO₂) Soda-lime glass Phenol-formaldehyde Poly(vinyl chloride) (PVC) Poly(ethylene terephthalate) (PET) Polystyrene (PS) Poly(methyl methacrylate) (PMMA) Polycarbonate (PC) Nylon 6,6 Polypropylene (PP) Polyethylene-high density (HDPE) Polytetrafluoroethylene (PTFE) Polyethylene-low density (LDPE) 407 207 207 107 110 97 69 45 Ceramic Materials 393 345 304 260 225 Metal Alloys 205 145 120 73 69 Polymers 2.76-4.83 2.41-4.14 2.76-4.14 2.28-3.28 2.24-3.24 2.38 1.59-3.79 1.14-1.55 1.08 0.40-0.55 0.17-0.28 59 30 30 15.5 16 14 10 65 57 50 44 38 33 30 21 17 11 10 0.40-0.70 0.35-0.60 0.40-0.60 0.33-0.48 0.33-0.47 0.35 0.23-0.55 0.17-0.23 0.16 0.058-0.080 0.025-0.041 "Partially stabilized with 3 mol % Y,O,. Modern Plastics Encyclopedia 96, McGraw-Hill, New York, 1995. 11111 7.3 Stress-Strain Behavior Shear Modulus GPa 10 psl 160 83 76 45 46 1111111 37 25 17 11111 23.2 12.0 11.0 6.5 6.7 5.4 3.6 2.5 1111111 . Poisson's Ra 0.18 0.31 0.24 0.25 0.17 0.22 0.17 0.30 0.23 0.38 0.33 0.31 0.34 0.34 0.34 0.33 0.35 0.46 0.33 0.37-0.44 0.36 0.39 0.40 0.28 0.30 0.46 0.33-0.40
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
Related questions
Question
Transcribed Image Text:Table 7.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio for Various Materials
Modulus of Elasticity
GPa
10 psi
Material
Tungsten
Steel
Nickel
Titanium
Copper-
Brass
Aluminum
Magnesium
I
Aluminum oxide (Al₂O₂)
Silicon carbide (SIC)
Silicon nitride (Si,N.)
Spinel (MgAl₂O₂)
Magnesium oxide (MgO)
Zirconia (ZrO₂)"
Mullite (3Al₂O,-2SiO₂)
Glass-ceramic (Pyroceram)
Fused silica (SiO₂)
Soda-lime glass
Phenol-formaldehyde
Poly(vinyl chloride) (PVC)
Poly(ethylene terephthalate) (PET)
Polystyrene (PS)
Poly(methyl methacrylate) (PMMA)
Polycarbonate (PC)
Nylon 6,6
Polypropylene (PP)
407
207
207
107
110
97
69
45
393
345
Metal Alloys
304
260
225
205
145
120
73
69
Polymers
Ceramic Materials
2.76-4.83
2.41-4.14
2.76-4.14
2.28-3.28
2.24-3.24
2.38
1.59-3.79
1.14-1.55
1.08
0.40-0.55
0.17-0.28
59
30
30
15.5
16
14
10
8=38% 18 C
6.5
57
50
44
33
30
21
17
Polyethylene-high density (HDPE)
Polytetrafluoroethylene (PTFE)
Polyethylene-low density (LDPE)
"Partially stabilized with 3 mol % Y₂O,.
Modern Plastics Encyclopedia '96, McGraw-Hill, New York, 1995.
10
0.40-0.70
0.35-0.60
0.40-0.60
0.33-0.48
0.33-0.47
0.35
0.23-0.55
0.17-0.23
0.16
0.058-0.080
0.025-0.041
1111
7.3 Stress-Strain Behavior
Shear Modulus
GPa
10º psi
160
83
76
45
46
37
25
17
1111111
11111
23.2
12.0
11.0
6.5
6.7
5.4
3.6
2.5
1111111
.
Poisson's Ra
0.38
0.36
0.39
0.28
0.30
0.31
0.34
0.34
0.34
0.33
0.35
0.22
0.17
0.18
0.31
0.24
0.25
0.17
0.23
0.40
0.46
0.46
0.33-0.40
0.30
0.33
0.33
0.37-0.44
Transcribed Image Text:12. A steel shaft is 50 cm in length and has a circular cross section. It must be able to
handle a torque of 10 N.m. and have an angle of twist of no more than 2°. (See Table 7.1
for value of shear modulus)
(a) What is the minimum diameter of the shaft?
(b) If instead a hollow steel shaft is used with an outer diameter of 2.0 cm, what is the
inner diameter and the weight savings (as a percentage of the solid shaft weight), still
for the same torque and angle of twist?
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