A massless bar has a rectangular cross-section as shown in the figure. The rod is made of Cast Iron Gray ASTM 20. Under the loading conditions as shown in the picture with a factor of safety of n = 3, will point A crack?
A massless bar has a rectangular cross-section as shown in the figure. The rod is made of Cast Iron Gray ASTM 20. Under the loading conditions as shown in the picture with a factor of safety of n = 3, will point A crack?
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 massless bar has a rectangular cross-section as shown in the figure. The rod is made of Cast Iron Gray ASTM 20. Under the loading conditions as shown in the picture with a factor of safety of n = 3, will point A crack?
Transcribed Image Text:50 mm
a
IT
A 150 mm
50 mm
Section a-a
300 mm
30 kN
![50 mm
a
a
T
A 150 mm
50 mm
Section a-a
300 mm
Soal Hibbler F9-11
Sebuah batang tanpa massa mempunyai penampang berbentuk balok seperti pada gambar. Batang terbuat dari
Cast Iron Gray ASTM 20. Pada kondisi pembebanan seperti pada gambar dengan angka keamanan n = 3, apakah
pada point A akan mengalami retak ?
Yield Strength (MPa) Ultimate Strength (MPa)
Materials
Moduls of
Density p Elasticity E
(Mg/m³) (GPa)
30 kN
Modulus of
Rigidity G
(GPa)
dy
0₂
% Elongation in Poisson's
50 mm specimen Ratio v
Coef. of Therm.
Expansion a
(10-)/°C
Tens.
Comp. Shear Tens.
Comp. Shear
Metallic
2.79
2014-T6
Aluminum
Wrought Alloys 6061-T6
73.1
68.9
27
26
414
255
414 172 469
255 131 290
469 290
290 186
669
10
12
0.35
0.35
23
24
2.71
7.19
67.0
27
179
-
0.6
0.28
12
7.28
172
68
276
572
5
0.28
12
Cast Iron
Alloys
Copper-Red Brass C83400
Alloys Bronze C86100
8.74
101
37
70.0 70.0
241
241
35
0.35
18
8.83
103
38
345
345
655
20
0.34
17
-
655
276
Magnesium
Alloy
[Am 1004-T61]
1.83
44.7
18
152
152
276
152
1
0.30
26
7.85
200
75
250 250
400
30
0.32
12
400
450
7.85
200
75
345
345
-
450
30
0.32
12
Steel
Alloys
7.86
193
75
207
207
517
517
40
0,27
17
8.16
200
75
703
703
800 800
22
0.32
12
Titanium
Alloy
4.43
120
44
924
924
1,000
1,000
16
0.36
9.4
2.38
22.1
0.15
11
Concrete
2.37
29.0
0.15
11
1.45
131
717
483 20.3
2.8
0.34
-
Plastic
Reinforced
1.45
72.4
90
131
0.34
-Douglas Fir
Wood
Select Structural
0.47
13.1
2.1c 264
6.24
0.29€
White Spruce
3.60
9.65
2.5⁰
36d
6.7⁰
0.31€
Grade
"Specific values may vary for a particular material due to alloy or mineral composition mechanical working of the specimen,or heat treatment. For a more exact value
reference books for the material should be consulted.
The yield and ultimate strengths for ductile materials can be assumed equal for both tension and compression.
Measured perpendicular to the grain.
d Measured parallel to the grain.
*Deformation measured perpendicular to the grain when the load is applied along the grain.
Gray ASTM 20
Malleable ASTM A-197
Structural A-36
Structural A992
Stainless 304
Tool L2
[Ti-6AI-4V]
Nonmetallic
Low Strength
High Strength
-Kevlar 49
30% Glass
FIFTIE
TUTT
12
38](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2522e541-6825-4054-8c7b-75adee119910%2F249a07af-a1cc-43cd-ad1f-4e5f0fd40c4b%2Frj4mfio_processed.png&w=3840&q=75)
Transcribed Image Text:50 mm
a
a
T
A 150 mm
50 mm
Section a-a
300 mm
Soal Hibbler F9-11
Sebuah batang tanpa massa mempunyai penampang berbentuk balok seperti pada gambar. Batang terbuat dari
Cast Iron Gray ASTM 20. Pada kondisi pembebanan seperti pada gambar dengan angka keamanan n = 3, apakah
pada point A akan mengalami retak ?
Yield Strength (MPa) Ultimate Strength (MPa)
Materials
Moduls of
Density p Elasticity E
(Mg/m³) (GPa)
30 kN
Modulus of
Rigidity G
(GPa)
dy
0₂
% Elongation in Poisson's
50 mm specimen Ratio v
Coef. of Therm.
Expansion a
(10-)/°C
Tens.
Comp. Shear Tens.
Comp. Shear
Metallic
2.79
2014-T6
Aluminum
Wrought Alloys 6061-T6
73.1
68.9
27
26
414
255
414 172 469
255 131 290
469 290
290 186
669
10
12
0.35
0.35
23
24
2.71
7.19
67.0
27
179
-
0.6
0.28
12
7.28
172
68
276
572
5
0.28
12
Cast Iron
Alloys
Copper-Red Brass C83400
Alloys Bronze C86100
8.74
101
37
70.0 70.0
241
241
35
0.35
18
8.83
103
38
345
345
655
20
0.34
17
-
655
276
Magnesium
Alloy
[Am 1004-T61]
1.83
44.7
18
152
152
276
152
1
0.30
26
7.85
200
75
250 250
400
30
0.32
12
400
450
7.85
200
75
345
345
-
450
30
0.32
12
Steel
Alloys
7.86
193
75
207
207
517
517
40
0,27
17
8.16
200
75
703
703
800 800
22
0.32
12
Titanium
Alloy
4.43
120
44
924
924
1,000
1,000
16
0.36
9.4
2.38
22.1
0.15
11
Concrete
2.37
29.0
0.15
11
1.45
131
717
483 20.3
2.8
0.34
-
Plastic
Reinforced
1.45
72.4
90
131
0.34
-Douglas Fir
Wood
Select Structural
0.47
13.1
2.1c 264
6.24
0.29€
White Spruce
3.60
9.65
2.5⁰
36d
6.7⁰
0.31€
Grade
"Specific values may vary for a particular material due to alloy or mineral composition mechanical working of the specimen,or heat treatment. For a more exact value
reference books for the material should be consulted.
The yield and ultimate strengths for ductile materials can be assumed equal for both tension and compression.
Measured perpendicular to the grain.
d Measured parallel to the grain.
*Deformation measured perpendicular to the grain when the load is applied along the grain.
Gray ASTM 20
Malleable ASTM A-197
Structural A-36
Structural A992
Stainless 304
Tool L2
[Ti-6AI-4V]
Nonmetallic
Low Strength
High Strength
-Kevlar 49
30% Glass
FIFTIE
TUTT
12
38
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