4) A small, uniaxial stress of 1 MPa (145 psi) is applied to a rod of high density polyethylene. a) What is the resulting strain? b) Repeat for a rod of vulcanized isoprene. c) Repeat for a rod of 1040 steel.
4) A small, uniaxial stress of 1 MPa (145 psi) is applied to a rod of high density polyethylene. a) What is the resulting strain? b) Repeat for a rod of vulcanized isoprene. c) Repeat for a rod of 1040 steel.
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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![4) A small, uniaxial stress of 1 MPa (145 psi) is applied to a rod of high density
polyethylene.
a) What is the resulting strain?
b) Repeat for a rod of vulcanized isoprene.
c) Repeat for a rod of 1040 steel.
NOTE: Use the values given in the tables below to solve the problem.
Tensile Test Data for Some Typical Metal Alloys
Percent
elongation
at failure
E
YS.
T.S.
Alloy*
[GPa (psi)]
|MPa (ksi)]|
(MPa (ksi)]|
1. 1040 carbon steel
2. 8630 low-alloy steel
3. a. 304 stainless steel
600 (87)
680 (99)
205 (30)
700 (102)
1,380 (200)
700 (102)
S80 (84)
329 (48)
145 (21)
416 (60)
220 (32)
83 (12)
200 (29 × 10)
750 (109)
800 (116)
515 (75)
800 (116)
1,550 (225)
800 (116)
750 (108)
461 (67)
150 (22)
457 (66)
290 (42)
150 (22)
862 (125)
895 (130)
652 (94.5)
193 (28 x 10)
200 (29 × 10')
b. 410 stainless steel
4. L2 tool steel
5. Ferrous superalloy (410)
6. a. Ductile iron, quench
b. Ductile iron, 60-40-18
7. a. 3003-H14 aluminum
b. 2048, plate aluminum
8. a. AZ31B magnesium
b. AM100A casting magnesium
12
22
200 (29 х 10)
165 (24 × 10)
169 (24.5 × 1ớ)
9.4
15
8-16
70.3 (10.2 x 105
45 (6.5 x 10)
45 (6.5 × 10)
107–110 (15.5–16 x 10°)
110 (16 x 10)
110 (16.1 x 10)
15
2
9. а. T-5A-2.5Sn
b. Ti-6AI-4V
10. Aluminum bronze, 9%
15
825 (120)
320 (46.4)
10
34
(copper alloy)
11. Monel 400 (nickel alloy)
12. AC41A zine
13. 50:50 solder (lead alloy)
14. Nb-1 Zr (refractory metal)
15. Dental gold alloy (precious
metal)
179 (26 x 10)
283 (41)
579 (84)
328 (476)
42 (6.0)
241 (35)
39.5
33 (4.8)
138 (20)
60
20
68.9 (10 × 10')
310-380
20-35
(45–55)
Mechanical Properties Data for Some Thermoplastic Polymers
Percent
Poisson's
ratio
T.S.
|MPa (ksi)|
elongation
at failure
E"
Polymer
|MPa (ksi)]|
|MPa (ksi)|
General-use polymers
Polyethylene
High-density
Low-density
Polyvinylchloride
Polypropylene
Polystyrene
Polyesters
Acrylics (Lucite)
Polyamides (nylon 66)
Cellulosics
830 (120)
170 (25)
2,800 (400)
1,400 (200)
3,100 (450)
- (-)
2,900 (420)
2,800 (410)
3,400-28,000
(500–4,000)
28 (4)
14 (2)
41 (6)
34 (5)
48 (7)
158 (22.9)
55 (8)
82.7 (12.0)
14-55
15-100
90-800
2-30
10-700
1-2
2.7
5
8,960 (1,230)
2,830 (410)
60
0.41
5-40
(2–8)
Engineering polymers
Acrylonitrile-butadiene-styrene
Polycarbonates
2,100 (300)
2,400 (350)
28–48 (4–7)
62 (9)
20-80
110](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F973d2f58-5264-4d68-93ac-e119f81b0a4c%2F6b664d2f-b7d7-4c59-8391-9ae0458d6f9a%2Fj1gxa2p_processed.png&w=3840&q=75)
Transcribed Image Text:4) A small, uniaxial stress of 1 MPa (145 psi) is applied to a rod of high density
polyethylene.
a) What is the resulting strain?
b) Repeat for a rod of vulcanized isoprene.
c) Repeat for a rod of 1040 steel.
NOTE: Use the values given in the tables below to solve the problem.
Tensile Test Data for Some Typical Metal Alloys
Percent
elongation
at failure
E
YS.
T.S.
Alloy*
[GPa (psi)]
|MPa (ksi)]|
(MPa (ksi)]|
1. 1040 carbon steel
2. 8630 low-alloy steel
3. a. 304 stainless steel
600 (87)
680 (99)
205 (30)
700 (102)
1,380 (200)
700 (102)
S80 (84)
329 (48)
145 (21)
416 (60)
220 (32)
83 (12)
200 (29 × 10)
750 (109)
800 (116)
515 (75)
800 (116)
1,550 (225)
800 (116)
750 (108)
461 (67)
150 (22)
457 (66)
290 (42)
150 (22)
862 (125)
895 (130)
652 (94.5)
193 (28 x 10)
200 (29 × 10')
b. 410 stainless steel
4. L2 tool steel
5. Ferrous superalloy (410)
6. a. Ductile iron, quench
b. Ductile iron, 60-40-18
7. a. 3003-H14 aluminum
b. 2048, plate aluminum
8. a. AZ31B magnesium
b. AM100A casting magnesium
12
22
200 (29 х 10)
165 (24 × 10)
169 (24.5 × 1ớ)
9.4
15
8-16
70.3 (10.2 x 105
45 (6.5 x 10)
45 (6.5 × 10)
107–110 (15.5–16 x 10°)
110 (16 x 10)
110 (16.1 x 10)
15
2
9. а. T-5A-2.5Sn
b. Ti-6AI-4V
10. Aluminum bronze, 9%
15
825 (120)
320 (46.4)
10
34
(copper alloy)
11. Monel 400 (nickel alloy)
12. AC41A zine
13. 50:50 solder (lead alloy)
14. Nb-1 Zr (refractory metal)
15. Dental gold alloy (precious
metal)
179 (26 x 10)
283 (41)
579 (84)
328 (476)
42 (6.0)
241 (35)
39.5
33 (4.8)
138 (20)
60
20
68.9 (10 × 10')
310-380
20-35
(45–55)
Mechanical Properties Data for Some Thermoplastic Polymers
Percent
Poisson's
ratio
T.S.
|MPa (ksi)|
elongation
at failure
E"
Polymer
|MPa (ksi)]|
|MPa (ksi)|
General-use polymers
Polyethylene
High-density
Low-density
Polyvinylchloride
Polypropylene
Polystyrene
Polyesters
Acrylics (Lucite)
Polyamides (nylon 66)
Cellulosics
830 (120)
170 (25)
2,800 (400)
1,400 (200)
3,100 (450)
- (-)
2,900 (420)
2,800 (410)
3,400-28,000
(500–4,000)
28 (4)
14 (2)
41 (6)
34 (5)
48 (7)
158 (22.9)
55 (8)
82.7 (12.0)
14-55
15-100
90-800
2-30
10-700
1-2
2.7
5
8,960 (1,230)
2,830 (410)
60
0.41
5-40
(2–8)
Engineering polymers
Acrylonitrile-butadiene-styrene
Polycarbonates
2,100 (300)
2,400 (350)
28–48 (4–7)
62 (9)
20-80
110
![(S00–4,000)
(2–8)
Engineering polymers
Acrylonitrile-butadiene-styrene 2,100 (300)
Polycarbonates
Acetals
Polytetraffuoroethylene
(Teflon)
Thermoplastic elastomers
Polyester-type
28–48 (4–7)
62 (9)
69 (10)
17 (2.5)
20-80
2,400 (350)
3,100 (450)
410 (60)
110
2,830 (410)
50
0.35
100-350
585 (85)
46 (6.7)
400
Mechanical Properties Data for Some Thermosetting Polymers
Percent
T.S.
[MPa (ksi)]
IMPA (ksi)]
|MPa (ksi)]
elongation
at failure
Polymer
Thermosets
Phenolics (phenolformaldehyde)
Urethanes
Urea-melamine
52 (75)
34 (5)
48 (7)
28 (4)
69 (10)
6,900 (1,000)
10,000 (1,500)
Polyesters
Epoxies
6,900 (1,000)
Elastomers
Polybutadieneipolystyrene copolymer
Vulcanized
1.6 (0.23)
3–6 (0.4–0.9)
0.8 (0.12)
8.7 (1.3)
14-3.0 (0.20-0.44)
17-28 (2.5–4.1)
440-600
Vulcanized with 33% carbon black
Polyisoprene
400-600
Vulcanized
Vulcanized with 33% carbon black 3.0-8.0 (0.44–1.2)
Polychloroprene
1.3 (0.19)
04 (0.06)
6.2 (0.90)
17-25 (2.5-3.6)
25-35 (3.6-5.1)
750-850
550-650
Vulcanized
1.6 (0.23)
3-5 (0.4–0.7)
0.7 (0.10)
28 (0.41)
25-38 (3.6–5.5)
21-30 (3.0-4.4)
800-1,000
500-600
Vulcanized with 33% carbon black
Polyisobutene/polyisoprene copolymer
Vulcanized
10 (0.15)
3–4 (04-0.6)
04 (0.06)
3,6 (0.52)
18-21 (2.6–3.0)
18-21 (2.6-3.0)
7 (1)
750-950
650-850
4,000
Vulcanized with 33% carbon black
Silicones
Vinylidene fluoride/
hexafluoropropylene
12.4 (18)
"Low strain data (in tension).
"In shear.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F973d2f58-5264-4d68-93ac-e119f81b0a4c%2F6b664d2f-b7d7-4c59-8391-9ae0458d6f9a%2Fubloodnt_processed.png&w=3840&q=75)
Transcribed Image Text:(S00–4,000)
(2–8)
Engineering polymers
Acrylonitrile-butadiene-styrene 2,100 (300)
Polycarbonates
Acetals
Polytetraffuoroethylene
(Teflon)
Thermoplastic elastomers
Polyester-type
28–48 (4–7)
62 (9)
69 (10)
17 (2.5)
20-80
2,400 (350)
3,100 (450)
410 (60)
110
2,830 (410)
50
0.35
100-350
585 (85)
46 (6.7)
400
Mechanical Properties Data for Some Thermosetting Polymers
Percent
T.S.
[MPa (ksi)]
IMPA (ksi)]
|MPa (ksi)]
elongation
at failure
Polymer
Thermosets
Phenolics (phenolformaldehyde)
Urethanes
Urea-melamine
52 (75)
34 (5)
48 (7)
28 (4)
69 (10)
6,900 (1,000)
10,000 (1,500)
Polyesters
Epoxies
6,900 (1,000)
Elastomers
Polybutadieneipolystyrene copolymer
Vulcanized
1.6 (0.23)
3–6 (0.4–0.9)
0.8 (0.12)
8.7 (1.3)
14-3.0 (0.20-0.44)
17-28 (2.5–4.1)
440-600
Vulcanized with 33% carbon black
Polyisoprene
400-600
Vulcanized
Vulcanized with 33% carbon black 3.0-8.0 (0.44–1.2)
Polychloroprene
1.3 (0.19)
04 (0.06)
6.2 (0.90)
17-25 (2.5-3.6)
25-35 (3.6-5.1)
750-850
550-650
Vulcanized
1.6 (0.23)
3-5 (0.4–0.7)
0.7 (0.10)
28 (0.41)
25-38 (3.6–5.5)
21-30 (3.0-4.4)
800-1,000
500-600
Vulcanized with 33% carbon black
Polyisobutene/polyisoprene copolymer
Vulcanized
10 (0.15)
3–4 (04-0.6)
04 (0.06)
3,6 (0.52)
18-21 (2.6–3.0)
18-21 (2.6-3.0)
7 (1)
750-950
650-850
4,000
Vulcanized with 33% carbon black
Silicones
Vinylidene fluoride/
hexafluoropropylene
12.4 (18)
"Low strain data (in tension).
"In shear.
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