A single edge-cracked plate of AISI 4130 Steel of Table 8.1 has dimensions, as defined in Fig 8.12(c), of b = 45 mm and t = 5.0 mm, (large h), and is subjected to a tension force of P = 81 kN. Inspection of the plate shows crack length a = 4.5 mm. a. Determine the safety factor against brittle fracture, Xk. b. Determine the safety factor against fully plastic yielding, X'o. c. Determine the safety factor on crack length, Xa
A single edge-cracked plate of AISI 4130 Steel of Table 8.1 has dimensions, as defined in Fig 8.12(c), of b = 45 mm and t = 5.0 mm, (large h), and is subjected to a tension force of P = 81 kN. Inspection of the plate shows crack length a = 4.5 mm. a. Determine the safety factor against brittle fracture, Xk. b. Determine the safety factor against fully plastic yielding, X'o. c. Determine the safety factor on crack length, Xa
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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Question
A single edge-cracked plate of AISI 4130 Steel of Table 8.1 has dimensions, as defined in Fig 8.12(c), of b = 45 mm and t = 5.0 mm, (large h), and is subjected to a tension force of P = 81 kN. Inspection of the plate shows crack length a = 4.5 mm.
a. Determine the safety factor against brittle fracture, Xk.
b. Determine the safety factor against fully plastic yielding, X'o.
c. Determine the safety factor on crack length, Xa.
![Problem 2:
Equations, Tables, and Figures
Table 8.1 Fracture Toughness and Corresponding Tensile
Properties for Representative Metals at Room Temperature
Toughness
Kie
Material
(a) Steels
AISI 1144
ASTM A470-8
(Cr-Mo-V)
ASTM A517-F
AISI 4130
18-Ni maraging
air melted
18-Ni maraging
vacuum melted
300-M
650° C temper
300-M
300 C temper
2014-T651
2024-T351
2219-T851
7075-T651
7475-T7351
Ti-6Al-4V
MPa m
(ksivin)
annealed
66
(60)
60
(55)
187
(170)
110
(100)
POSROT
123
(112)
176
(160)
152
(138)
65
(59)
24
(22)
34
(31)
36
(33)
29
(26)
52
(47)
Yield Ultimate Elong. Red. Area
100g/
RA
On
σo
%
66
(60)
MPa
(ksi)
540
(78)
620
(90)
760
(110)
1090
(158)
1310
(190)
(b) Aluminum and Titanium Alloys (L-T Orientation)
415
485
(60)
1290
(187)
1070
(156)
1740
(252)
325
(47)
505
(73)
435
MPa
(ksi)
(63)
840
(122) 200
925
(134)
780
(113)
830
(121)
1150
(167)
1350
(196)
1345
(195)
1190
(172)
2010
(291)
350 455
(51)
(66)
(70)
470
(68)
570
(83)
505
(73)
1000
(145)
5
17
20
14
12
15
18
12
13
20
10
14
16
7.0
45
66
49
54
66
56
48
34
Sources: Data in [Barsom 87] p. 172. [Boyer 85] pp. 6.34. 6.35. and 9.8.
[MILIDBK 94] pp. 3.10 3.12 and 5.3. and [Ritchie 77]
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Transcribed Image Text:Problem 2:
Equations, Tables, and Figures
Table 8.1 Fracture Toughness and Corresponding Tensile
Properties for Representative Metals at Room Temperature
Toughness
Kie
Material
(a) Steels
AISI 1144
ASTM A470-8
(Cr-Mo-V)
ASTM A517-F
AISI 4130
18-Ni maraging
air melted
18-Ni maraging
vacuum melted
300-M
650° C temper
300-M
300 C temper
2014-T651
2024-T351
2219-T851
7075-T651
7475-T7351
Ti-6Al-4V
MPa m
(ksivin)
annealed
66
(60)
60
(55)
187
(170)
110
(100)
POSROT
123
(112)
176
(160)
152
(138)
65
(59)
24
(22)
34
(31)
36
(33)
29
(26)
52
(47)
Yield Ultimate Elong. Red. Area
100g/
RA
On
σo
%
66
(60)
MPa
(ksi)
540
(78)
620
(90)
760
(110)
1090
(158)
1310
(190)
(b) Aluminum and Titanium Alloys (L-T Orientation)
415
485
(60)
1290
(187)
1070
(156)
1740
(252)
325
(47)
505
(73)
435
MPa
(ksi)
(63)
840
(122) 200
925
(134)
780
(113)
830
(121)
1150
(167)
1350
(196)
1345
(195)
1190
(172)
2010
(291)
350 455
(51)
(66)
(70)
470
(68)
570
(83)
505
(73)
1000
(145)
5
17
20
14
12
15
18
12
13
20
10
14
16
7.0
45
66
49
54
66
56
48
34
Sources: Data in [Barsom 87] p. 172. [Boyer 85] pp. 6.34. 6.35. and 9.8.
[MILIDBK 94] pp. 3.10 3.12 and 5.3. and [Ritchie 77]
I meldean
Transcribed Image Text:F
6
5
4
3
2
L
0
P
Equations, Tables, and Figures
11
Sg
(a)
K = FSg√πa
P
Sg=2bt
P
Sg= bt
Figure 8.12
(b)
b
0.2
(a) F =
h
(a, b)
(c)
0.4
Values for small a/b and limits for 10% accuracy:
(a) K = S₂√√ña
(a/b ≤ 0.4)
Expressions for any a = alb:
b
a = a/b
h
(c) F = 0.265 (1-x)² +
1 -0.5a +0.326x²
√1-a
CX
2
(b) F = (1 +0.122 cos+ 2)√
(c)
(b) K = 1.12S √√а
0.6
(a/b ≤0.6) 12
tan
πα
0.857 +0.265a
(1-a)³/2
(c)
a|-
TO
0.8
h
--
(c) K = 1.12S√√ла
1.0
(a/b ≤0.13) 1
1094 (107)
(h/b> 1.5)
(h/b> 2)
(h/b≥ 1)
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